Ally has 4 times as many pencils as Anna Claire. They have 30 pencils in all. How many pencils does Ally have?

Answer: 373/50

Step-by-step explanation:

Step 1: convert to a fraction

746% = 746 ÷ 100 = 7.46

7.46 = 373/50

Step 2: Write the number as a fraction of one: 7.46 = 746/100

Step 3: use a common divisor of 2 to reduce the numbers, we have

(746÷2)= 373

(100÷2)=50

when reduced to the simplest form= 373/50

Therefore, 746/ 100 = 373/50 when expressed as a mixed number.

Answer: 373/50

Step-by-step explanation:

Step 1) Since 746% is a percent, it is written over the denominator of 100. So first convert it to a fraction, which would be 746/100.

Step 2) Find the GCF (greatest common factor). In order to find the GCF start by writing all the factors of

100:

1, 2, 4, 5, 10, 20, 25, 50, 100

Step 3) Now test every number there and see if any go into 746. Start at the highest number, which in this case is 100. (Example, ask yourself, “does 100 go into 746? No.” Then try with 50, and continue until you get to a number that goes into 746 evenly.)

Step 4) The GCF from the previous step is 2. So now divide 746 by 2 (answer is 373) and 100 by 2 (answer is 50).

Step 5) Now put 373/50 and that’s your answer! Congratulations you finished it!

Answer:

1) 5.313131 put the bar over the first 31

2)0.999 put the bar over the first 9

3)2.010101 put the bar over the first 01

4)26.993993 put the bar over the first 993

Step-by-step explanation:

Answer:

When I calculated this I got: 4.2857142857143 but I don't know if that's the correct answer.

Step-by-step explanation:

The slope represents the rate of change. Then the rate of change will be 4.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y = 4x + 60

The slope is 4 and the y-intercept is 60.

The slope represents the rate of change. Then the rate of change will be 4.

More about the linear equation link is given below.

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The rate of change in the equation y = 4x + 60 is 4, which is the coefficient of x. This means for each unit increase in 'x', 'y' will increase by 4 units.

In mathematics, the rate of change in an equation like y = 4x + 60 is represented by the coefficient of the variable x. This is because, in such an equation which is in the form of y = mx + b (a standard linear equation), 'm' represents the rate of change or the slope of the line.

So, in your specific equation y = 4x + 60, the rate of change or slope is 4. This means that for each increment of 1 in 'x', 'y' will increase by 4 units. This value - 4 - is your rate of change in this case.

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Answer:

12x⁴ + 2x³ + x² - 7x + 14

Step-by-step explanation:

(5x^4-3x^3+2x^2-15x+27) + (7x^4+5x^3-x^2+8x-13)

(5+7)x⁴ + (-3+5)x³ + (2-1)x² + (-15+8)x + (27-13)

12x⁴ + 2x³ + x² - 7x + 14

Answer:

Step-by-step explanation:

Let w be the width

Length = 3w +15

Perimeter = 94 cm

2*(length + width) = 94

2*(3w+15 + w) = 94

2*( 4w + 15) = 94

4w + 15 = 94/2

4w +15 = 47

        4w = 47 -15

         4w = 32

           w = 32/4

          w = 8 cm

Length = 3w +15 = 3*8 + 15 = 24 +15 = 39

Length = 39cm

Area = length * width = 39*8 = 312

Area = 312 cm²

The area of the rectangle is [tex]\( \boxe{312 \, \text{cm}^2} \).[/tex]

Step 1

Let's denote the width of the rectangle as w cm.

According to the problem, the length of the rectangle is [tex]\( 15 \)[/tex] cm more than three times its width. So, the length [tex]\( l \)[/tex] can be expressed as [tex]\( 3w + 15 \)[/tex]cm.

The perimeter P of a rectangle is given by:

[tex]\[ P = 2(l + w) \][/tex]

Given that the perimeter of the rectangle is [tex]\( 94 \)[/tex] cm, we can write the equation:

[tex]\[ 94 = 2((3w + 15) + w) \][/tex]

Step 2

Now, let's solve for [tex]\( w \)[/tex]:

[tex]\[ 94 = 2(4w + 15) \]\[ 94 = 8w + 30 \]\[ 8w = 94 - 30 \]\[ 8w = 64 \]\[ w = \frac{64}{8} \]\[ w = 8 \][/tex]

Step 3

Now that we have found the width of the rectangle to be [tex]\( 8 \)[/tex] cm, we can find its length:

[tex]\[ l = 3w + 15 \]\[ l = 3(8) + 15 \]\[ l = 24 + 15 \]\[ l = 39 \][/tex]

Step 4

Now that we have the width [tex]\( w = 8 \)[/tex] cm and the length [tex]\( l = 39 \)[/tex] cm, we can calculate the area A of the rectangle:

[tex]\[ A = l \times w \]\[ A = 39 \times 8 \]\[ A = 312 \][/tex]

So, the area of the rectangle is [tex]\( \boxe{312 \, \text{cm}^2} \).[/tex]

Answer:

4,212

Step-by-step explanation:

Step 1:  Add

23 + 4189

4,212

Answer:  4,212

Answer:

Part A - 4x + 8 dollars

Part B - $45

Step-by-step explanation:

Answer:

1 pencil = $0.75

1 eraser = $0.29

Step-by-step explanation:

4p+2e=3.58                                 1p+6(0.29)=2.49

1p+6e=2.49                                   1p+1.74=2.49

p=2.49-6e                                     1p=0.75

4(2.49-6e)+2e=3.58                       p=0.75

9.96-24e+2e=3.58

9.96-22e=3.58

-22e=-6.38

e=0.29

я не знаююююююююбююбббб

Answer:$125

Step-by-step explanation:

50% of 250

50/100 x 250

1/2 x 250=(1x250)/2=250/2=125

Answer:

3)1 unit right and 1 unit down

Step-by-step explanation:

The parent function is

[tex]y = |x| [/tex]

This is the base of the absolute value functions.

It has its vertex at the origin.

The transformed function is

[tex]y = |x - 1| - 1[/tex]

This absolute value function has its vertex at (1,-1).

This means the parent function has been shifted 1 unit right and 1 unit down to obtain the transformed function.

Answer:

531.

Step-by-step explanation:

Let's assume 2(1) + 1 = 3

a = 1 and b = 1

Now we can plug that in

8(1)^3 + (1)^3 + 18(1)(1)

Then we need to multiply together

8^3 + 1^3 + 18

Then do the powers

512 + 1 + 18

Then add them together

531

Hope this helped!

Answer:

27

Step-by-step explanation:

A sum of cubes factors as

a³ + b³ = (a + b)(a² - ab + b²)

Factor the sum of cubes 8a³ + b³

8a³ = (2a)³, thus

8a³ + b³

= (2a)³ + b³

= (2a + b)(4a² - 2ab + b²)

We now have the right side as

(2a + b)(4a² - 2ab + b²) + 18ab ← substitute 2a + b = 3

= 3(4a² - 2ab + b²) + 18ab

= 12a² - 6ab + 3b² + 18ab ← collect like terms

= 12a² + 12ab + 3b² ← factor out 3 from each term

= 3(4a² + 4ab + b²) ← perfect square

= 3(2a + b)² ← substitute 2a + b = 3

= 3 × 3²

= 3 × 9

= 27

Answer: He needs to wait 8 weeks.

Step-by-step explanation: 5•8 equals 40. 2 books, 20$ each and add them together, 40!

To determine the number of weeks Marco needs to save $40 to buy two books at $20 each, an equation can be set up based on his weekly savings of $5. Solving the equation 5 × w = $40 gives us w = 8, meaning Marco will need to save for 8 weeks.

The problem given is about Marco who wants to buy two books, each costing $20. He can save $5 a week. To calculate how many weeks it will take for Marco to save enough to buy the books, we can set up an equation. First, we need to determine the total cost of the books:

Next, let’s set up our equation. If Marco saves $5 each week, the total amount saved after w weeks will be 5 × w. We want this to be equal to the total cost of the books, so our equation will be:

5 × w = $40

To solve for w, we divide both sides by 5:

w = $40 / 5

w = 8

Therefore, it will take Marco 8 weeks to save enough money to buy the two books.

Answer:

Step-by-step explanation:

volume =1/3×base area×height

216=1/3× A×6

base area=216/2=108 in²

Answer:

Here is the answer

Step-by-step explanation:

108 in squared

or D

The straight line distance is 5 miles from starting point.

Step-by-step explanation:

Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.

Where;

One leg =  a = 3 miles

Other leg = b = 4 miles

Hypotenuse = c

Using Pythagoras theorem;

[tex]a^2+b^2=c^2\\(3)^2+(4)^2=c^2\\9+16=c^2\\c^2=25[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]

The straight line distance is 5 miles from starting point.

Answer:

5

Step-by-step explanation:

3[2]+4[2]=c[2]

9+16=c[2]

[tex]\sqrt{25}[/tex]=5

Initial equation:

4a / 2 = 5.2

Multiply both sides by 2:

4a = 10.4

Divide both sides by 4:

a = 2.6

Hope this helps!! :)

Answer:

Step-by-step explanation:

2.6 becuase 4a/2= 5.2

4a=10.4

a=2.6

Answer:

The change in total amount of money the cashier are paid each week will be $331.5.

Step-by-step explanation:

16 store cashiers work average 21 hours per week and paid $8.25 per hour.

Now, the store manager hires 2 additional cashiers each cashier will be paid 0.25 more per hour and will work an average of 1.5 fewer hours per week.

Therefore, the two additional cashiers will be paid $8.50 per hour and will work an average of (21 - 1.5) = 19.5 hours per week.

So, the change in the total amount of money the cashiers are paid each week will be (2 × 19.5 × 8.5) = $331.5. (Answer)

Answer:

If it is a six-sided die then it has the probability of 1/6 or .16

Step-by-step explanation:

Answer:

This question would be related to slopes so the answer is [tex]y=-\frac{7}{2}x+\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope-Intercept\:form\:of}\:\\x2+y2+12x+2y-1=0:\quad y=-\frac{7}{2}x+\frac{1}{4}[/tex]

[tex]\mathrm{Domain\:of\:}\:-\frac{7}{2}x+\frac{1}{4}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Range\:of\:}-\frac{7}{2}x+\frac{1}{4}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Parity\:of}\:-\frac{7}{2}x+\frac{1}{4}:\quad \mathrm{Neither\:even\:nor\:odd}[/tex]

[tex]\mathrm{Axis\:interception\:points\:of}\:\\-\frac{7}{2}x+\frac{1}{4}:\quad \mathrm{X\:Intercepts}:\:\left(\frac{1}{14},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:\frac{1}{4}\right)[/tex]

[tex]\mathrm{Inverse\:of}\:-\frac{7}{2}x+\frac{1}{4}:\quad -\frac{4x-1}{14}[/tex]

[tex]\mathrm{Slope\:of\:}-\frac{7}{2}x+\frac{1}{4}:\quad m=-\frac{7}{2}[/tex]

Hope this helps you!

Have a good night!

The account balance will be $6642 after seven years.

Step-by-step explanation:

To find the amount after seven years, a certain formula is used.

Amount = [tex]P( 1+r/n)^{n\times t}[/tex]

where,

P is the principal amount that is invested in the account.

Therefore, P = 4500 dollars.

r is the rate of interest. (r = 5.5 %)

Therefore, r = 5.5/100 = 0.055

n is the number of time the interest is compounded per year which is n= 4.

t is the time period which is t = 7 years.

Now, substituting all the above values in the formula,

Amount = [tex]4500(1+0.055/4)^{4\times 7}[/tex]

⇒ [tex]4500(4.055/4)^{28}[/tex]

⇒ [tex]4500(1.014)^{28}[/tex]

⇒ [tex]4500\times1.4759[/tex]

⇒ 6641.55 (which is approximately equal to 6642)

⇒ 6642 dollars.

The account balance after 7 years is $6642.

(12, 11):

2((12) + 3) - (11) = 7 + (12)

2 • 15 - 11 = 19

2 • 4 = 19

8  [tex]\neq[/tex]  19

(1, 0):

2((1) + 3) - (0) = 7 + (1)

2 • 4 = 8

8 = 8

(-5, 1):

2((-5) + 3) - (1) = 7 + (-5)

2 • -2 - 1 = 2

2 • -3 = 2

-6  [tex]\neq[/tex]  2

Hope this helps.

Answer:

81

Step-by-step explanation:

ANGLES in a TRIANGLE add up to 180

In the Triangle you have 65 and 34

Add them together = 99

Subtract the total from 180

180 - 99 = 81

Answer:

81 degrees

Step-by-step explanation:

The angles of the triangle always add up to 180.

SO you'd do 65+34 which equals 99.

NOW you do 180-99 which equals 81

So you're missing angle would be 81 degrees

The student didn't provide enough information to answer their question. The subject and specific problem were missing from the request. More context or further details are needed to give a correct and applicable tutorial response.

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Question:

Which of the following is another way to express the equation 8 - (-d) = 43?

A.8-d=43

B.-d+8=43

C.-8+d=43

D.8+d=43

Answer:

8 + d = 43 is another way to express the given equation

Solution:

Consider the given equation

[tex]8 - (-d) = 43[/tex]

We have to find the another way to express the above equation

We know that,

We we multiply negative sign number by another negative sign number, then the result is positive sign number

Therefore from given,

[tex]-(-d) = -1 \times -d = d[/tex]

Thus the given equation becomes,

8 + d = 43

Thus option D is correct

The formula [tex]3(4^{n-1})[/tex] represents the geometric sequence.

Step-by-step explanation:

Step 1:

The value of [tex]a_{n}[/tex] is dependent on the value of n.

So n is independent while [tex]a_{n}[/tex] is dependent on n i.e. the value of [tex]a_{n}[/tex]depends on the value of n.

Step 2:

We substitute the values of n in the functions to check which function satisfies the values of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} = -4(3)^{n-1} = -4 (3^{3}) = -108.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} = 4(3)^{n-1} =-4 (3^{3}) = 108.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} =3(-4)^{n-1} = 3 (-4^{3}) = -192.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} =3(4)^{n-1} = 3 (4^{3}) = 192.[/tex] This equals the value of [tex]a_{n}[/tex].

So the fourth formula represents the geometric sequence.

Answer:

494 square feet

494 ft^2

Step-by-step explanation:

Trapezoid:

(20 + 32) ÷ 2 ) × 3

52 ÷ 2 ) × 3

26 × 3

= 78

Rectangle:

32 × 13 = 416

Add:

78 + 416 = 494

When doing absolute value, negatives will always be positive.

Option A's absolute value is 140.

Option B's absolute value is 104.

Option C's absolute value is also 104.

Option D's absolute value is 204.

Therefore, the option with the greatest absolute value would be D. |-204|

Answer:

A because is positive and highlights numbers

Answer:

Step-by-step explanation:

a) (5,5) ;    (10,6);  slope = 1/5

  (x1,y2);    (x2,y2)

y-y1 = m (x-x1)

[tex]y-5=\frac{1}{5}*(x-5)\\\\y-5=\frac{1}{5}*x-\frac{1}{5}*5\\\\y-5=\frac{1}{5}x-1\\y=\frac{1}{5}x-1+5\\\\y=\frac{1}{5}x+4[/tex]

d) (√2,7)    ; (√2,-7)

  (x1,y1)    ; (x2,y2)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-7}{\sqrt{2}-\sqrt{2}}\\\\=\frac{-14}{0}=0[/tex]

Equation: y =7 or y = -7

Answer:

l=48, w=20

Step-by-step explanation:

Let the width of the pool be w feet, then the length will be:

[tex]l = 2w + 8[/tex]

The area of the pool is 960 square feet.

This means that:

[tex]w(2w + 8) = 960[/tex]

Expand and rewrite in standard form to get:

[tex]2 {w}^{2} + 8w - 960 = 0[/tex]

[tex] {w}^{2} + 4w - 480 = 0[/tex]

[tex]{w}^{2} + 24w - 20w- 480 = 0[/tex]

[tex]{w}(w+ 24) - 20(w + 24) = 0[/tex]

Factor to get:

[tex](w+ 24)(w - 20) = 0[/tex]

[tex]w = - 24 \: or \: w = 20[/tex]

We discard the negative value because magnitude is positive.

This means

[tex]l = 2 \times 20 + 8 = 48[/tex]