MATHEMATICS MIDDLE SCHOOL

There are 3 cans that store 9 tennis balls. Consider the number of balls per can a.find the constant of proportionality for this situationb.Write an equation to represent the relationship

Answers

Answer 1

Answer:

Answer:

Write an equation that will model the proportional relationship given in each real world situation.

1. There are 3 cans that store 9 tennis balls. Consider the number of balls per can.

a. Find the constant of proportionality for this situation.

9 balls (B)

_________ = 3

3 cans (C)

b. Write an equation to represent the relationship.

b = 3c

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A purse contains $2.45 in dimes andquarters. There are two more than
twice as many dimes as quarters. How
many of each coin are in the purse?

Answers

Answer:

dimes = 12, quarters =5

Step-by-step explanation:

Let x stand for quarters. So if there are two more than twice as many dimes than quarters than it would look something like

d = 2x+2

q = x

Now multiply them by the value of the coin, to get them into cents. So you'd multiply dimes by twn (2x+2*10) which is equal to 20x+20. Multiply quarters by 25. x*25=25x

Now make an equation. 20x+20+25x=245

45x=225

x=5

q = 5

d = 12

7. In some places, a suspension bridge is the only passage over a river. The height of one such bridge, h, in metres, above the riverbed can be modelled by h = 0.005x^2 + 24.a) How many zeros do you expect the relation to have? Why?
b) If the area was flooded, how high could the water level rise before the bridge was no longer safe to use?

I have answered a) but I don't know how to do b). The book says the answer is 24m if that helps. Any suggestions are appreciated.

Answers

Sure. The function is a parabola. Because the coefficient of the x^2 term is positive, it opens upward. that means that it vertex is a minimum point.

You can verify that the vertex is (0,24). That means that at the point x=0, the height of the bridge is 24m. So if the level water rises below 24 m, the bridge is safe to use.

A store has a 20% off sale on pants. With this discount, the price of one pair of pants before tax is $15.20. What was the original price of the pants?Multiple choice question.

A)
$3.04

B)
$12.16

C)
$18.24

D)
$19.00

Answers

Answer:

$19.00

Step-by-step explanation:

The answer would obviously not be the first 2 due to those being lower than the sale price so it would have tot be one of the bottom 2 so i chose one of the two and figured out what 20% off those prices would be to see which matched with $15.20 :) pls give me brainliest

Answer:

Step-by-step explanation:

Because 20% of 15.20 is 3.04.

Then, 3.04+15.20= C) $18.24

Your answer would be C) $18.24

Use properties to find the sum or product 8×51