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2 years ago

8

A community wants to raise at least $4000 for a new skateboarding park. They have been given a $150 donation and are selling can

vas bags for $55 each to raise the rest of the money. Which inequality describes how many bags they need to sell in order to reach this goal?

1 answer:

Zielflug [23.3K]2 years ago

4 0

Answer:

150+55x=4000

Step-by-step explanation:

150+55x=4000

<u>-150 -150</u>

55x/55=3850/55

x=70 bags

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For every 2 boys in the class, there are 3 girls.

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Answer:

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Last year, Maria had $10,000 to invest. She invested some of it in an account that paid 6% simple interest per year, and she inv

denis-greek [22]

Answer:

$3,000 invested at 6%

$7,000 invested at 10%

Step-by-step explanation:

Maria had total $10,000 to invest.

Let x be the amount that Maria invested initially at 6% interest rate.

0.06x

Then she invested the remaining amount at 10% interest rate.

0.10(10,000 - x)

She received a total of $880 in interest.

0.06x + 0.10(10,000 - x) = 880

0.06x + 1000 - 0.10x = 880

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The remaining amount is

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3 years ago

G(x)=x^3+5x h(x) =x+3 find (g+h)(x)

exis [7]

$(g+h)(x) = x^3+6x+3$

Step-by-step explanation:

The operations on functions can be performed as they are performed on polynomials

The addition of functions is used in the given question

Given

$g(x)=x^3+5x\\h(x)=x+3$

We have to find:

$(g+h)(x)=g(x)+h(x)\\=x^3+5x+x+3\\=x^3+6x+3$

So,

$(g+h)(x) = x^3+6x+3$

Keywords: Functions, operations on functions

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3 years ago

A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minu

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Answer:

d = 0.666t , where d is in miles and t is in minutes.

d = 39.94h, where d is in miles and h is in hours.

Step-by-step explanation:

A car travels $2\frac{1}{3} = 2.33$ miles in $3\frac{1}{2} = 3.5$ minutes at a constant speed.

Let the relation between the distance (d) traveled by car in miles after traveling t minutes is d = kt ......... (1)

Now, putting d = 2.33 miles and t = 3.5 minutes in the above equation we get,

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So, the equation (1) becomes d = 0.666t. (Answer)

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3 years ago

What is a solution to (x + 6)(x + 2) = 60?

Reika [66]

Solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

Step-by-step explanation:

We need to solve the equation: $(x+6)(x+2)=60$

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Multiplying terms on the left hand side

$x(x+2)+6(x+2)=60$

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$x^2+8x+12-60=0$

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$x=4\,\,and\,\,x=-12$

So, solution of the equation $(x+6)(x+2)=60$ is x=4 and x=-12

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