Roger served 5/8 pound of crackers, which was 2/3 of entire box. What was the weight of crackers originally in box?

Answer:

x≥-3

Step-by-step explanation:

the bracket means the the number is inclusive, so the answer would be

x≥-3

Final answer:

To convert the interval [-3,∞) to inequality notation, we would write x ≥ -3, indicating that x includes -3 and extends to positive infinity without an upper bound.

Explanation:

To convert the interval notation [-3,∞) to inequality notation using the variable x, we consider the meaning of the interval. The square bracket [ indicates that the number -3 is included in the interval, which corresponds to x ≥ -3. The infinity symbol (∞) suggests that there is no upper bound to the values of x, hence the interval does not include any particular largest number, which is why the parenthesis ) is used rather than a square bracket. Therefore, the equivalent inequality notation for the interval [-3,∞) is x ≥ -3.

Answer:

Step-by-step explanation:

If two or more points have the same domain or x value, then it is not a function because points cannot have identical x values, only y values.

With this in mind, C is not a function because there are two 4s in the domain.

So looking at this our answer would be C because when you are trying to find if it is not a function you have to look for repeated X values or domains if there I s a problem with a repeated X value that would not be a function but if the Y values were to repeated that doesn’t really matter so yeah. Hopefully this helps!

Answer:

W

Step-by-step explanation:

Tvivyvyvububi

Answer:

4x^2+4x-12

Step-by-step explanation:

(3x^2+x-14)-(-x^2-3x-2)

3x^2+x-14+x^2+3x+2

3x^2+x^2+x+3x-14+2

4x^2+4x-14+2

4x^2+4x-12

Answer:

10.5 in

Step-by-step explanation:

The correct question is

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of B C is 15 inches. What is the length of Line segment A C?

Note: BC is not the hypotenuse of the right triangle ABC

see the attached figure to better understand the problem  

In the right triangle ABC of the figure

we know that

[tex]tan(55^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)

[tex]tan(55^o)=\frac{15}{b}[/tex]

solve for b

[tex]b=\frac{15}{tan(55^o)}[/tex]

[tex]b=10.5\ in[/tex]

Answer:

10.5 in

Step-by-step explanation:

Answer:

(x - 6)² = - (y - 4)

The vertex of the parabola will be (6,4).

The x-intercepts are at (8,0) and (4,0).

Step-by-step explanation:

Given the equation of parabola is g(x) = y = - x² + 12x - 32 .......... (1)

Now, converting the equation to vertex form.

Here, y = - x² + 12x - 32

⇒ y = - (x² - 12x + 36) + 4

⇒ y - 4 = - (x - 6)²

⇒ (x - 6)² = - (y - 4) ........... (2) (Answer)

Now, the vertex of the parabola will be (6,4) and it opens down. (Answer)

Let the x-intercept of the parabola is at (h,0).

Hence, from equation (2) we get,

(h - 6)² = - (0 - 4) = 4

⇒ h - 6 = ± 2

⇒ h = 8 or h = 4

Therefore, the x-intercepts are at (8,0) and (4,0). (Answer)

Answer:

-12

Step-by-step explanation:

-4-(5+3)

-4-(8)

-4-8

-12

-12 is the value of the expression  - 4 - (5 + 3)​.

An expression is combination of variables, numbers and operators.

Given expression is -4-(5+3)

Minus four minus of five plus three.

In the given expression we have positive and negative signs which tells that there is addition and subtraction operations.

-4-(5+3)

Add the numbers in parenthesis

-4-8

Now we get -12

Hence, -12 is the value of the expression  - 4 - (5 + 3)​.

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Answer:

Step-by-step explanation:

4 + 5=9

We are certain that 4 people are jogging and it is given that mote 5 people are walking rather than jogging so from these statement we can see that only 5 people are walking.

Running at a slow and regular pace, especially as a form of exercise, usually runs half an hour before breakfast. Exercise and training  the purpose of jogging is to Health benefits of running and jogging helps build strength because it is heavy exercise strengthens muscles. improves cardiovascular fitness. burn a lot of kilojoules.

Jogging is a form of aerobic exercise in which running speed is less than 6 miles per hour. Jogging regularly can help you lose weight, especially if you also change your diet.

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Answer:

J=67

T=67

G=180-67-67

St=5

HJ=3.7

Step-by-step explanation:

The two triangles are equal.

Since the triangle at isosceles, two sides/angles are equal.

The measure of the angles and the sides are:

m∠J = 67

m∠T = 67

m∠G =46

ST = 5 cm

HJ = 3.7 cm

We have,

ΔGHJ ≡ Δ STU

This means,

The corresponding sides and angles are the same.

Now,

GH = ST = GJ = SU = 5cm

And,

HJ = TU = 3.7 cm

Now,

The sum of the angles in the triangle = 180

In GHJ,

m∠J = 67

This is because angles opposite to the equal sides are the same.

Now,

∠G + ∠H + ∠J = 180

∠G + 67 + 67 = 180

∠G = 180 - 134

m∠G = 46

And,

m∠T = 67

Since ΔGHJ ≡ Δ STU.

Thus,

The measure of the angles and the sides are:

m∠J = 67

m∠T = 67

m∠G =46

ST = 5 cm

HJ = 3.7 cm

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Answer:

338 is the difference

Step-by-step explanation:

505-167=338

The difference between 505 and 167 is calculated using standard subtraction techniques, including borrowing, to arrive at a final answer of 338.

To solve the subtraction problem 505 - 167, we can use the standard algorithm for subtraction:

The difference between 505 and 167 is 338.

Answer:

Step-by-step explanation:

x² - x - 56 = x² - 8x  + 7x - 7*8

= x*(x - 8) + 7 (x - 8)

= (x - 8) (x + 7)

Answer:

19

Step-by-step explanation:

50% = 1/2

therefore 1/2 of 38

= 19

Answer: 19

Step-by-step explanation: We need to write 50% as a decimal by moving the decimal point 2 places to the right to get .50. Next, the word "of" means multiply, so we have (.50)(38) which is 19.

Answer:

[tex]\$60.35[/tex]

Step-by-step explanation:

step 1

Find the total amount of money worked

Multiply 6.5 hours by the rate $11.50 / hour.

[tex]6.5(11.50)=\$74.75[/tex]

step 2

Find the total cost of the dinner

Remember that

[tex]100\%+20\%=120\%=120/100=1.2[/tex]

so

the cost of the dinner plus the tip is equal to

[tex]\$12(1.2)=\$14.4[/tex]

step 3

Find the amount of money left

Subtract the total cost from the total amount of money

so

[tex]\$74.75-\$14.4=\$60.35[/tex]

Answer:

= 2/27 square root of 6

Step-by-step explanation:

:)

Answer:

2/27

Step-by-step explanation:

Answer:

Italian style = 18,000 packages

French style = 14,000 packages

Oriental style = 53,000 packages

Step-by-step explanation:

See the attached figure to represent the question

let the number of packages of Italian style = x

let the number of packages of French style = y

let the number of packages of Oriental style = z

Italian style ⇒ 0.4 kg of​ zucchini, 0.3 kg of​ broccoli, and 0.3 kg of carrots.

French style ⇒ 0.5 kg of broccoli and 0.5 kg of carrots.

Oriental style ⇒ 0.2 kg of​ zucchini, 0.3 kg of​ broccoli, and 0.5 kg of carrots.

The amount of zucchini ⇒ 17,800 = 0.4x + 0 * y + 0.2z

The amount of broccoli ⇒ 28,300 = 0.3x + 0.5y + 0.3z

The amount of carrots   ⇒ 38,900 = 0.3x + 0.5y + 0.5z

Solving the 3 equations together to find x , y and z

Using the calculator:

x = 18,000 ⇒ Italian style packages

y = 14,000 ⇒ French style packages

z = 53,000 ⇒ Oriental style packages

Answer:

slope = 0

Step-by-step explanation:

The graph of g(x) is a horizontal line parallel to the x- axis.

Since it is parallel to the x- axis it has a slope of zero

Tan(angle) = opposite / adjacent

Tan(angle) = 4/5

Angle = arctan(4/5)

Angle = 38.66

Angle = 38.7

Answer:

C

Step-by-step explanation:

the answer to C is 7/12

Answer:

To find the value of this expression you need to add and subtract from left to right

74.9+5.23-81.4-16 (add the first two, first)

80.13-81.4-16 (74.9+5.23=80.13) (next subtract the next two)

-1.27-16 (80.13-81.4=-1.27) (Last subtract the last two)

-17.27 (-1.27-16=-17.27)

-17.27

Hope this helps ;)

Answthat 16 is 42,

Step-by-step explanation:

Understand factoring. ...

Divide by the smallest prime number possible. ...

Rewrite the square root as a multiplication problem. ...

Repeat with one of the remaining numbers. ...

Finish simplifying by "pulling out" an integer. ...

Multiply integers together if there are more than one.

The total amount of berries, in cups, that will be in Emma's containers is represented by the expression n in mathematics , due to the multiplication principle of counting.

The subject of this question is mathematics, specifically, arithmetic and algebra. Emma has n containers and plans to put one cup of berries into each container. To find the total amount of berries, in cups, that Emma will put into the containers, you multiply the number of containers by the number of cups per container. Since Emma is putting 1 cup of berries in each container, the expression that represents the total amount of berries Emma will put into the containers is simply n.

This is due to the Multiplication Principle of Counting, which states that if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in m x n ways. Here, the two events are 'number of containers' and 'cups of berries per container', with the 'number of containers' being variable, represented as n and the 'cups of berries per container' being a constant '1'.

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Final answer:

To find percentages of numbers, convert the percent to a decimal and then multiply. To find the unknown quantity in an equation involving percentages, divide the given number by the percent expressed as a decimal.

Explanation:

To find 66 2/3 percent of 87, first convert the percent to a decimal by dividing it by 100: 66 2/3 ÷ 100 = 0.6667. Then multiply the decimal by 87: 0.6667 x 87 = 58.33. So, 66 2/3 percent of 87 is approximately 58.33.

To find 1 percent of 3,620, divide 3,620 by 100: 3,620 ÷ 100 = 36.2. So, 1 percent of 3,620 is 36.2.

To find x in the equation 62 1/2 percent of x is 5, first convert the percent to a decimal: 62 1/2 ÷ 100 = 0.625. Then divide 5 by the decimal: 5 ÷ 0.625 = 8. So, x is 8.

To find k in the equation 300 percent of k is 42, first divide 42 by 300: 42 ÷ 300 = 0.14. So, k is 0.14.

The cost of bench is 325.

Step-by-step explanation:

Given,

Combined cost of table and bench = 725

Let,

x be the cost of garden table

y be the cost of bench

According to given statement;

x+y=725         Eqn 1

x = y+75         Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex](y+75)+y=725\\y+75+y=725\\2y=725-75\\2y=650[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{650}{2}\\y=325[/tex]

The cost of bench is 325.

Keywords: linear equation, substitution method

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Answer:

X= -9/10

y= -2 3/5

Step-by-step explanation:

Multiply equation one by 4 and equation two by 3 to eliminate X

it becomes

-12x + 8y =-12

12x - 3y = -1

add equation one and two,

you'll be left with 5y= -13

divide both sides by 5

y = -13/5 improper fraction

= -2 3/5

Now substitut y = -2 3/5 into any of the original equations to get x.

using equation two, we have

4x -(-2 3/5) = -1

4x + 2 3/5 = -1

4x = -1 - 2 3/5

the LCM of 5 is 5 , so

4x = -5-13/5

4x = -18/5

crossmultiply

4x x 5 = -18

20x = -18

divide both sides by 20

we have x = -18/20, when you cancel further , you have x = -9/10

Answer:

-5.3.

Step-by-step explanation:

-8.6 + 2.3 + 1

= -6.3 + 1

= -5.3.

Answer:

1.09 x 10^2

Step-by-step explanation:

1.39 x 10^6 / 1.27 x 10^4 = 1.09448818898

1.09448818898 is rounded 1.09

10^6-4 = 10^2

So, 1.09 x 10^2

The sun is approximately 109.29 times larger in diameter than the Earth.

To determine how many times larger in diameter the sun is compared to the Earth, we divide the diameter of the sun by the diameter of the Earth.

The diameter of the sun is 1.39 × 106 kilometers, while the diameter of the Earth is 1.27 × 104 kilometers.

Dividing the diameter of the sun by the diameter of the Earth, we get (1.39 × 106) / (1.27 × 104) = 109.29.

Therefore, the sun is approximately 109.29 times larger in diameter than the Earth.

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Answer:

The co-ordinates which give the minimum value for the quadratic function are (-7, -47)

Step-by-step explanation:

i) the quadratic function f(x) = [tex]x^{2}[/tex]  + 14x + 2

                                             = [tex]x^{2}[/tex]  +   14x + 49 - 49 + 2

                                             =  [tex](x + 7)^{2}[/tex]   - 49 + 2

                                            = [tex](x+7)^{2}[/tex]  - 47

ii) The minimum value of the result of the quadratic equation in i) will be achieved when [tex](x + 7)^{2}[/tex] is zero as any square value is always positive and thus the minimum value of a square is always zero.

iii) [tex](x + 7)^{2}[/tex]  is zero when x  = -7 and when x = -7  then y = f(x) = -47

iv) The co-ordinates which give the minimum value for the quadratic function are (-7, -47)

Answer:

4

Step-by-step explanation:

8                   2                             8                     10             80                      8

-    divide     -  -------> KCF          -    multiply      -      =        -    simplify =     -  = 4

10                 10                            10                     2              20                      2

Answer:

(3y^2+2x^3)(3y^2-2x^3)

Step-by-step explanation: