Solve the equation for x.
5x - ( 4x - 1) = 2 help please​

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

Given

5x - (4x - 1) = 2 ← distribute the parenthesis by - 1

5x - 4x + 1 = 2

x + 1 = 2 ( subtract 1 from both sides )

x = 1


Related Questions


Jerry has a spinner with 4 sections numbered 1 through 4. He suspects that the spinner is not fair because it seems to land on 2 more often than any other number.

To test this, he spins the spinner 250 times and records the relative frequency of each outcome.

Outcome 1 2 3 4
Relative frequency 0.26 0.24 0.24 0.26
Select from the drop-down menus to correctly complete each statement.

For the spinner to be fair, each outcome will be .

The relative frequencies in the table are .

This means it is likely that the spinner is

Answers

♡ The Question ♡

Jerry has a spinner with 4 sections numbered 1 through 4. He suspects that the spinner is not fair because it seems to land on 2 more often than any other number. To test this, he spins the spinner 250 times and records the relative frequency of each outcome. Outcome 1 2 3 4 , Relative frequency 0.26 0.24 0.24 0.26  Select from the drop-down menus to correctly complete each statement.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

For the spinner to be fair, each outcome will be equally likely.

The relative frequencies in the table are relatively close to equal.

This means it is likely that the spinner is fair.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

No Explanation/Step-By-Step provided!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

No Tips provided!

The true statements are for the spinner to be fair, each outcome will be equal, the relative frequencies in the table are relatively close and this means it is likely that the spinner is fair.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that,

Outcome                      1            2          3           4

Relative frequency    0.26     0.24     0.24     0.26

The spinner has 4 sections

This means that the probability of landing in a section is:

p = 1/4

p = 0.25

So, for the spinner to be fair, each outcome will be equal

The relative frequencies in the table are relatively close is the true statement.

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Here is the histogram of a data distribution. All class widths are 1
2
3
4
5
6
7
8
9
10
What is the median of the distribution?

Answers

Answer:

6

Step-by-step explanation:

If it’s the green block from 2-6 with 6 being the tallest then it’s 6 a p e x

The median of the histogram of the data distribution where all class widths are 1 is is 6

How to determine the median?

From the complete question, we have the following highlights:

The histogram has a bell shapeThe class width is 1

When a histogram is bell shaped, the median of the histogram is at the highest bar in the histogram

The highest bar in the histogram has a class of 6

Hence, the median of the histogram is 6

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Find all numbers whose absolute value is 8.

Answers

Answer:

8 or -8

Step-by-step explanation:

The absolute value of number a:

|a| = a for a ≥ 0

|a| = -a for a < 0

|a| = 8 ⇔ a = 8 or a = -8

Final answer:

The numbers that have an absolute value of 8 are 8 and -8. This is because the absolute value refers to a number's distance from 0 on a number line, which includes both positive and negative numbers.

Explanation:

The absolute value of a number refers to its distance from zero on the number line, ignoring whether it is to the left or right (negative or positive). When we speak of the absolute value of 8, we're looking for numbers whose distance from zero is 8 units. This means we are looking for two numbers: +8 and -8 since they are both 8 units away from 0, but in opposite directions.

So, the numbers whose absolute value is 8 are 8 and -8.

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Factor completely x2 + 20x + 99​

Answers

[tex]x^2 + 20x + 99=x^2+9x+11x+99=x(x+9)+11(x+9)=(x+11)(x+9)[/tex]

Can someone help me plz

Answers

Answer:

C

Step-by-step explanation:

The sign used is the greater then sign, assuming p is the variable standing for the basketball teams' points then the answer is C.

-2(x+5)=4 sole using distributive property

Answers

Answer:
x=-7

Steps:
-2(x+5)=4
First, multiply everything in the parentheses by -2:
-2x-10=4
Then add ten on the right side to isolate the -2x:
-2x=14
Then divide 14 by -2:
x=-7

Answer:

x = -7

Step-by-step explanation:

-2x - 10 = 4

-2x = 14

x = -7

Verification:

-2(-7 + 5) = 4

-2(-2) = 4

4 = 4

find a·b

a=<5,2>,b=<4,5>

Answers

Answer:

[tex]\large\boxed{\vec{a}\circ\vec{b}=30}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ \vec{u}=\left<a,\ b\right>\ \text{and}\ \vec{v}=\left<c,\ d\right>,\ \text{then}\\\\\vec{u}\circ\vec{v}=ac+bd\\\\==========================\\\\\vec{a}=\left<5,\ 2\right>,\ \vec{b}=\left<4,\ 5\right>\\\\\vec{a}\circ\vec{b}=(5)(4)+(2)(5)=20+10=30[/tex]

Need help with 1-4.

Answers

Answer:

for number 4 the answer is 32 in (please read below)

Step-by-step explanation:

I will do one of them for now... how about number 4.

Similar triangles means we are going to setup a proportion:

                          Small triangle                                 Big Triangle

Corresponding       12                                                     15

Corresponding        x                                                      40

So the proportion is 12/x=15/40

cross multiply

12(40)=15(x)

Divide both sides by 15

giving x=12(40)/15=32

Try number 1... And I will check it for you (just post as a new question-I will be looking for it)

Answer:

1. 8 cm

2. 15 cm

3. 28 cm

4. 32 cm

Step-by-step explanation:

1. 12/6= 2

  20/10= 2

  Scale Factor= 2

  16/2= 8cm

2. 30/18= 1.6666667

   15/9= 1.6666667

   Scale Factor= 1.6666667

   25/1.6666667= 15cm

3. 16/12= 1.333333

   32/24= 1.333333

   Scale Factor= 1.333333

   (21)(1.333333)= 28cm

4. 15/12= 1.25

   25/20= 1.25

   Scale Factor= 1.25

   40/1.25= 32cm

which are the possible side lengths of a triangle?​

Answers

Answer:

B) 4, 8, 10

Step-by-step explanation:

4+8 is greater than 10

4+10 is greater than 8

10+8 is greater than 4

which answer is a soultion to the equation lk+9l=4

Answers

Answer:

k=-5 or k= -13

Step-by-step explanation:

lk+9l=4

k+9=4 or k+9=-4

k=-5 or k= -13

Final answer:

The solutions for the equation |k+9| = 4 are k = -5 and k = -13. We got these results by considering separately the positive and negative cases for the absolute value.

Explanation:

To find the solution to the equation |k+9| = 4, we need to think about what the absolute value operation represents. Absolute value takes the positive version of whatever is inside, no matter if it's positive or negative. So we actually need to consider two separate cases.

Case 1: k+9 = 4. Solving for k, we get k = 4 - 9 = -5.Case 2: -(k+9) = 4. Here, we first need to dissolve the negative sign by multiplying both sides by -1, which gives k + 9 = -4. Solving for k, we get k = -4 - 9 = -13.

So the solutions to the equation are k = -5 and k = -13.

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Choose the correct simplification of the expression 8 time b over a to the power of -5. a to the power of 5 time b all over 8 8 over a to the power of 5 times b 8a5b Already simplified

Answers

Expression to simplify: [tex]\frac{8b}{a^{-5} }[/tex]

Remember, when a number has a negative power, it reciprocates (flips over)

First lets write the expression so that the a is in a fraction by itself:

[tex]\frac{8b}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex]

So to simplify, all we do is reciprocate [tex]\frac{1}{a^{-5} }[/tex] and make the power positive:

[tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex] =  [tex]8b[/tex] × [tex]a^{5}[/tex]

=[tex]8a^{5}b[/tex]

----------------------------------------------

Answer:

[tex]8a^{5}b[/tex]

The correct simplification Expression is  [tex]8b/a^-5[/tex]

The correct simplification of the expression "8 times b over a to the power of -5" is [tex]8b/a^-5[/tex]. This can be simplified by using the following rule:

[tex]x^m \times x^n = x^ \ (m + n)[/tex]

Therefore, we can rewrite the expression as:

[tex]8b/a^-5 = 8b \times a^5[/tex]

We can then multiply the numerator and denominator by 8 to get:

[tex]8b \times a^5 = 64b \times a^5[/tex]

Finally, we can rearrange the factors to get:

[tex]64b \times a^5 = 8a^5 \times b[/tex]

Therefore, the simplified expression is [tex]8a^5 \times b.[/tex]

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The length of a rectangle is 8 mm longer than its width. Its perimeter is more than 32 mm. Let w equal the width of the rectangle.

a. Write an expression for the length in terms of the width.

b. Use expressions for the length and width to write an inequality for the
perimeter, on the basis of the given information.

c. Solve the inequality, clearly indicating the width of the rectangle.

Answers

Part A

w = width

L = length

L = w+8 since the length is 8 mm longer than the width

Answer:  w+8

====================================================

Part B

P = perimeter of rectangle

P = 2*(L+W) = 2L + 2W

We want the perimeter to be more than 32 mm, so we want P to be greater than 32

This means we write P > 32

Replace P with either 2(L+W) or 2L+2W. I'll pick 2L+2W

So we go from

P > 32

to

2L+2W > 32

After this, replace L with W+8 (refer to part A above)

We now have

2(W+8) + 2W > 32

Answer: 2(w+8) + 2w > 32

====================================================

Part C

Let's solve the inequality found in part B to get...

2(w+8) + 2w > 32

2w + 16 + 2w > 32

4w + 16 > 32

4w + 16-16 > 32-16 ....... subtracting 16 from both sides

4w > 16

4w/4 > 16/4 ......... dividing both sides by 4

w > 4

Answer: w > 4; The width of the rectangle must be larger than 4 mm

Find the surface are of this cube 8ft 8ft 8ft

Answers

Answer:

A=384

Step-by-step explanation:

For this case we have by definition, that the surface area of a cube is given by:

[tex]SA = 6l ^ 2[/tex]

Where:

l: It's the side of the cube

We have as data, according to the figure, that:

[tex]l = 8ft[/tex]

Substituting in the figure:

[tex]SA = 6 (8) ^ 2\\SA = 6 * 64\\SA = 384 \ ft ^ 2[/tex]

Thus, the surface area of the cube is [tex]384 \ ft ^ 2[/tex]

Answer:

[tex]384 \ ft ^ 2[/tex]

The similarity ratio of two similar polygons is 2:5. What is the ratio of their areas

Answers

Answer:

4 : 25

Step-by-step explanation:

Given the ratio of 2 similar figures = a : b, then

ratio of areas = a² : b²

Given the similarity ratio = 2 : 5, then

ratio of areas = 2² : 5² = 4 : 25

To determine the ratio of areas of two similar polygons, square the similarity ratio. For a ratio of 2:5, the area ratio is 4:25.

The ratio of the areas of two similar polygons is found by comparing the squares of their linear dimensions.

For example, if the similarity ratio of two polygons is 2:5, the ratio of their areas will be (2^2):(5^2), which simplifies to 4:25.

Therefore, the ratio of areas of polygons with a similarity ratio of 2:5 is 4:25.

The slope intercept form of the equation of a line that passes through (-2,13) is y =5x-3what is the point slope form of the equation for this line

Answers

Answer:

y - 13 = 5(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Given y = 5x - 3 in  slope- intercept form

with slope m = 5, then

m = 5 and (a, b) = (- 2, 13)

y - 13 = 5(x - (- 2)), that is

y - 13 = 5(x + 2) ← in point- slope form

How many four digit even numbers can be formed from digits 1,2,3,4,5 if repetition is allowed.
how can solve this using permutation formula

Answers

Answer:

Step-by-step explanation:

5*5*5*2

The number must end in 2 or 4.

1 3 and 5 will give you an odd number if either is at the end.

The permutation formula does not lend itself to this problem. That is because repetition is allowed. So 5554 is a possible answer.

You can choose any one of 1 to 5 for the first place.

1 to 5 in the second place independent of what you choose for the first place.

The only thing restricting you is the last place. It must be 1 of 2.

I suppose you could use 2P1 for that.

5 * 5 * 5 * 2P1

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?

Answers

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{17}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{17-11}{4-2}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-11=3(x-2)\implies y-11=3x-6[/tex]

[tex]\bf y=3x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

[tex]y = 3x + 5[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex]\frac{-11 + 17}{-2 + 4} = \frac{6}{2} = 3[/tex]

Now, plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:

17 = 3[4] + b

12

5 = b

[tex]y = 3x + 5[/tex]

__________________________________________________________

11 = 3[2] + b

6

5 = b

[tex]y = 3x + 5[/tex]

You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

X+3y=28 when x =28 find the value for y plz help

Answers

Answer:

y = 0

Step-by-step explanation:

Plug in 28 for x. Solve for the equation:

x + 3y = 28

(28) + 3y = 28

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:

28 (-28) + 3y = 28 (-28)

3y = 0

Isolate the variable, y. Divide 3 from both sides:

(3y)/3 = (0)/3

y = 0

y = 0 is your answer.

~

Solve |x| + 7 < 4. {x | x < -11 or x > -3} {x | -3 < x < 3} Ø

Answers

Answer:

[tex]\large\boxed{\O}[/tex]

Step-by-step explanation:

[tex]|x|+7<4\qquad\text{subtract 7 from both sides}\\\\|x|+7-7<4-7\\\\|x|<-3\Rightarrow\ x\in\O\\\\\text{Because}\\\\|x|\geq0\ \text{for all real value of}\ x[/tex]

Answer: its the o with the line going diagonal through it

Step-by-step explanation:

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15. When solved for C, the equation is

Answers

Answer:

C=K-273.15

Step-by-step explanation:

Here we are given the relation between the measurements of temperatures in Celsius C and Kelvin K . The relationship is as under

K=C+273.15

now we have to rewrite this equation so that we can evaluate C in terms of K

In  order to do so , we Subtract 273.15 from both sides.

K-273.15 = C + 273.15-273.15

K - 273.15=C

C=K-273.15

The cost, (x), for parking in a city lot is given by c(x) = 3x + 4.00, where x is
the number of hours. What does the slope mean in this situation?

A. The rate of change of the cost of parking in the lot is $3.00 per
hour.

B. The rate of change of the cost of parking in the lot is $4.00 per
hour.

C. It costs a total of $4.00 to park in the lot.

D. Parking in the lot costs $3.00 per car.
Help

Answers

Answer:

A) The rate of change of the cost of parking in the lot is $3.00 per  hour

Step-by-step explanation:

for y=mx+b:

b is the base "cost" ($4)

x is the number of hours parked in the parking lot

m is the slope or how much it costs to be parked PER hour

therefore, for x hours, the cost would be 3*#of hours + $4, so the rate of change of the cost of parking in the lot is $3 per hour (which is shown by m or the slope)

Answer:

Option A

Step-by-step explanation:

we have

x -----> is the number of hours

c(x) ----> is the cost for parking in a city lot

we know that

c(x)=3x+4.00

This is a linear equation in slope intercept form

where

the rate of change or slope m is equal to m=$3 per hour

the y-intercept is equal to b=$4.00 (this is the cost when the number of hours is equal to zero)

therefore

The rate of change of the cost of parking in the lot is $3.00 per

hour

Solve the following system of equations graphically. y - 4 = 0 2x - y - 2 = 0 What is the solution set?

Answers

Answer:

{[tex](x,y)|(x=3,y=4)[/tex]}

Step-by-step explanation:

The given system of equations is;

[tex]y-4=0...(1)[/tex]

and

[tex]2x-y-2=0...(2)[/tex]

We rewrite the equations in the standard form to get:

[tex]y=4...(3)[/tex]

[tex]2x-y=2...(4)[/tex]

We now substitute equation (3) into equation (4) to get:

[tex]2x-4=2[/tex]

Group similar terms:

[tex]2x=2+4[/tex]

[tex]2x=6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{6}{2}[/tex]

This implies that:

[tex]x=3[/tex]

Therefore the solution set is:

{[tex](x,y)|(x=3,y=4)[/tex]}

find the value of x^3+y^3+15xy-125 if x+y=5

Answers

Answer:

0

Step-by-step explanation:

x+y=5

x^3+y^3+15xy-125

(x+y)(x^2-xy+y^2)+15xy-125

5(x^2-xy+y^2)+15xy-125

5x^2+5y^2-5xy+15xy-125

5x^2+5y^2+10xy-125

5[x^2+2xy+y^2]-125

5(x+y)^2-125

5(5)^2-125

125-125

0

Question 4
Line c has a slope of 3/4. Line d is perpendicular to c and line d has a slope of --1. True or False
True
False
O

Answers

Answer:

False

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

Given a line with m = [tex]\frac{3}{4}[/tex]

Then the slope of the line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex]

Find the slope and the​ y-intercept of the line whose equation is negative 6 x plus y equals negative 7 −6x+y = −7.

Answers

-6x + y= -7

Add 6x on both sides to isolate y

Y= 6x-7

The slope is 6 and the y-intercept is -7

Hope this helps!


Please mark me as brainliest if you can, I really appreciate it!

Answer:

slope = 6, y- intercept = - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 6x + y = - 7 into this form

Add 6x to both sides

y = 6x - 7 ← in slope- intercept form

with slope m = 6 and y- intercept c = - 7

what is the common difference for this arithmetic sequence? -6,-2,2,6,10 A.4 B.5 C.3 D.6

Answers

Answer:

A

Step-by-step explanation:

The common difference d is the difference between consecutive terms.

d = - 2 - (- 6) = - 2 + 6 = 4

d = 2 - (- 2) = 2 + 2 = 4

Answer:

4

Step-by-step explanation:

BIG BRAIN

A box that has a width of 32 inches and a length of 60 inches is used to ship
a part. The part lies along the diagonal of the bottom of the box. What is the
longest possible length of the part?

A. 28in
B. 88in
C. 92in
D. 68in

Answers

D.68

A squared plus b squared equals c squared and so add the two lengths given and square them which gives you the hypotenuse squared so then find the square root of your result which is 68

Answer:

68

Step-by-step explanation:

i just took the test.

Which shows the best path to find the number of centimiters in 1 yard

Answers

For this case we have by definition that one yard equals 91.44 centimeters.

We propose a rule of three that allows you to find the number of centimeters in any number of yards:

1yd ------------> 91.44cm

x ------------> y

[tex]y = \frac {x * 91.44} {1}\\y = x * 91.44[/tex]

Where:

y: It is the number of centimeters

x: It is the number of yards.

Answer:

one yard equals 91.44 centimeters.

At the beginning of the season, MacDonald's had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges to a harvest of 41790 oranges.

Write a equation to determine the initial number of oranges on MacDonald farm.

Find the initial number orange trees on Macdonald farm.

Answers

Answer:

o = (41790/210)+5;0 = 204

Step-by-step explanation:

o = (41790/210)+5

o = 199+5

0 = 204

(pls give brainliest)

Answer: mcdonald Harvested oranges when there were 5 trees-210

So 1 tree is 210/5=42

41790 oranges come from _ trees

=41790/42

=995 trees

Step-by-step explanation:

7 ∙ 15 can be written as _____.

Answers

Answer:

7(10+5)

105

Step-by-step explanation:

Distributive property:

       ↓

A(B+C)=AB+AC

7*15=7(10+5)

7(10+5) is the correct answer.

105 is the correct answer.

I hope this helps you, and have a wonderful day!

By distributive property, 7·15 can be written as 7*(10 + 5) = 105 .

What is distributive property ?

According to the distributive property, multiplying the sum of two or more variables by a number will give the same result as multiplying each variables individually by the number and then adding the products together.

Mathematically,

A*(B + C) = AB + AC

How to express the given expression ?

Given expression is 7·15 .

By distributive property, the expression can be written as -

⇒ 7·15 = 7*(10 + 5)

⇒ 7*(10 + 5) = 7*10 + 7*5

⇒ 70 + 35 = 105 .

Thus, by distributive property, 7·15 can be written as 7*(10 + 5) = 105

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when can exponential growth happen?A: when there are limited resources B: When carrying capacity is reachedC: When there is no competition D: When the death rate is high PLZ HELP ASAP. What is the measure of B? What is the pattern in the values as the exponents increase? a train moves moves from rest to a speed of 25 m/s in 30.0 sec . what is its acceleration Can someone please help me With BOTH parts of the question ..thanks u Helpppp me pleaseeeeeee If is an angle in standard position and its terminal side passes through the point (5,6), find the exact value of cot "There is a 70% chance of rain today and a 40% chance of rain tomorrow. Assume that the event that it rains today is independent of the event that it rains tomorrow. What is the probability that there will be no rain today or tomorrow?" Read the excerpt from the fairy tale Hansel and Gretel and answer the question that follows. Hard by a great forest dwelt a poor wood-cutter with his wife and his two children. The boy was called Hansel and the girl Gretel. He had little to bite and to break, and once when great dearth fell on the land, he could no longer procure even daily bread. Now when he thought over this by night in his bed, and tossed about in his anxiety, he groaned and said to his wife: "What is to become of us? How are we to feed our poor children, when we no longer have anything even for ourselves?" "I'll tell you what, husband," answered the woman, "early tomorrow morning we will take the children out into the forest to where it is the thickest; there we will light a fire for them, and give each of them one more piece of bread, and then we will go to our work and leave them alone. They will not find the way home again, and we shall be rid of them." "No, wife," said the man, "I will not do that; how can I bear to leave my children alone in the forest?the wild animals would soon come and tear them to pieces." "O, you fool!" said she, "then we must all four die of hunger, you may as well plane the planks for our coffins," and she left him no peace until he consented. "But I feel very sorry for the poor children, all the same," said the man. The two children had also not been able to sleep for hunger, and had heard what their stepmother had said to their father. Gretel wept bitter tears, and said to Hansel: "Now all is over with us." "Be quiet, Gretel," said Hansel, "do not distress yourself, I will soon find a way to help us." And when the old folks had fallen asleep, he got up, put on his little coat, opened the door below, and crept outside. The moon shone brightly, and the white pebbles which lay in front of the house glittered like real silver pennies. Hansel stooped and stuffed the little pocket of his coat with as many as he could get in. Then he went back and said to Gretel: "Be comforted, dear little sister, and sleep in peace, God will not forsake us," and he lay down again in his bed. When day dawned, but before the sun had risen, the woman came and awoke the two children, saying: "Get up, you sluggards! we are going into the forest to fetch wood." She gave each a little piece of bread, and said: "There is something for your dinner, but do not eat it up before then, for you will get nothing else." Gretel took the bread under her apron, as Hansel had the pebbles in his pocket. Then they all set out together on the way to the forest. When they had walked a short time, Hansel stood still and peeped back at the house, and did so again and again. His father said: "Hansel, what are you looking at there and staying behind for? Pay attention, and do not forget how to use your legs." "Ah, father," said Hansel, "I am looking at my little white cat, which is sitting up on the roof, and wants to say goodbye to me." The wife said: "Fool, that is not your little cat, that is the morning sun which is shining on the chimneys." Hansel, however, had not been looking back at the cat, but had been constantly throwing one of the white pebble-stones out of his pocket on the road. When they had reached the middle of the forest, the father said: "Now, children, pile up some wood, and I will light a fire that you may not be cold." Hansel and Gretel gathered brushwood together, as high as a little hill. The brushwood was lighted, and when the flames were burning very high, the woman said: "Now, children, lay yourselves down by the fire and rest, we will go into the forest and cut some wood. When we have done, we will come back and fetch you away." Hansel and Gretel sat by the fire, and when noon came, each ate a little piece of bread, and as they heard the strokes of the wood-axe they believed that their father was near. It was not the axe, however, but a branch which he had fastened to a withered tree which the wind was blowing backwards and forwards. And as they had been sitting such a long time, their eyes closed with fatigue, and they fell fast asleep. When at last they awoke, it was already dark night. Gretel began to cry and said: "How are we to get out of the forest now?" But Hansel comforted her and said: "Just wait a little, until the moon has risen, and then we will soon find the way." And when the full moon had risen, Hansel took his little sister by the hand, and followed the pebbles which shone like newly-coined silver pieces, and showed them the way. Source: Grimm, Jacob and Wilhelm Grimm. "Fairy Tales by the Brothers Grimm." Project Gutenberg. Project Gutenberg, 14 Dec. 2008. Web. 24 Feb. 2011. Which character represents the archetype of the Hero best? the wife Gretel the woodcutter Hansel Which symbol correctly compares these fractions?9 3610 40 6/y=9/24 whats the proportion?a= 16b= 19c= 20d=21 which behavior would be most appropriate for a character in this setting?Miles of endless brilliant blue water surrounded the island. A long palm tree stood contentedly near the waters edge, its palms waving nonchalantly in the breeze. The only sound was the call of a single gull dancing on the wind just above the rhythmic waves lapping the shoreA.nervous pacingB.contemplative thinkingC.exhilarated dancingD.optimistic exploration how does the dynastic cycle impact society What is the difference between an igneous, sedimentary and metamorphic rock Which of the following was not a key area of focus for the Progressives?land reformdemocracybusiness regulationsocial justice For a group experiment, your science class measured the fine-particulateconcentrations in the air at random places around campus, and estimated asample average of 12 ug/m3 (micrograms per cubic meter). If 196 readingswere taken, and the standard deviation of the sample measurements was3.5 pg/m3, you are 99.7% confident that actual concentration of fineparticulates at the school is evaluate the following expression: 2(1,1) -4(0,1). enter your answer as a vector. A birthday gift is wrapped in a cardboard box. The box measures 12 inches on each side. How many cubic inches will the box hold? Name three adjectives to describe carter based on the campaign messages? how did countries throughout the view the United states after the Spainsh American war? A.) as a power only in the AmericasB.) as a trading nation with little military strength C.) as a weak nation that needed to strength its navyD.) as a major power with worldwide military strength