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3 years ago

A water truck is filling a swimming pool. The equation that represents this

Mathematics

1 answer:

Luda [366]3 years ago

8 0

Answer:

a. false

b. true

c. true

d. true

e. false

Step-by-step explanation:

a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.

b. True. A graph of a proportional relationship is a straight line through the origin.

c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.

d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.

e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.

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Shipping rates for Company A and Company B are shown in the tables below. Which company has shipping rates that you can represen

meriva

Company B; the ratios of cost to weight are equivalent.

Step-by-step explanation:

Step 1:

In the equation, $y=kx$ k is the constant of proportionality.

If the values are in accordance with $y=kx$ , the values of k will be constant for all the values.

So we determine the values of k for both the companies and see which has a constant k.

If $y=kx, k = \frac{y}{x}$ . In these tables, y is the total cost and x is the weight in lbs.

Step 2:

For company A,

when $y=10.55, x=1, k = \frac{10.55}{1} = 10.55,$

when $y=10.85, x=2, k = \frac{10.85}{2} = 5.425,$

when $y=11.15, x=3, k = \frac{11.15}{3} = 3.71666.$

For company B,

when $y=2.75, x=1, k = \frac2.75}{1} = 2.75,$

when $y=5.50, x=2, k = \frac{5.50}{2} = 2.75,$

when $y=8.25, x=3, k = \frac{8.25}{3} = 2.75.$

So company B has a constant value of $k=2.75$ .

3 0

3 years ago

The length of a rectangle is 6 more than twice its width. The

Whitepunk [10]

Answer:

The answer is option (C). The width of the rectangle=6 inches

Step-by-step explanation:

<em>Step 1: Determine the dimensions of the rectangle</em>

width=w

length=w+6

<em>Step 2: Determine the perimeter of the rectangle</em>

P=2(L+W)

where;

P=perimeter

L=length

W=width

In our case;

P=36 inches

L=w+6

w=w

replacing;

2(w+w+6)=36

2(2 w+6)=36

4 w+12=36

4 w=36-12=24

4 w=24

w=24/4=6

W=6 inches

L=6+6=12 inches

The width of the rectangle=6 inches

4 0

4 years ago

5\2,3 and 3\2,8 find the distance

pochemuha

Answer:

√26 ≈ 5.1 units

Step-by-step explanation:

√(x₂ - x₁)² + (y₂ - y₁)²

√(3/2 - 5/2)² + (8 - 3)²

√(-1)² + (5)²

√1 + 25

√26

4 0

4 years ago

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Zigmanuir [339]

Answer:

5050 = 225f + 125p

If p = 17 this month, then, f = 13

Step-by-step explanation:

Kiri owns a coworking space that has two primary types of memberships, full time and part-time. In order to pay her bills each month (rent on the building, electricity, internet, and so on) she needs to make $5050. Full-time memberships (f) cost $225 per month, and part-time memberships (p) cost $125 per month.

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Total cost = $5050

cost of full-time memberships = $225

number of full time members = f

cost of part-time memberships = $125

number of part-time members = p

Total cost = cost of full-time memberships * number of full time members + cost of part-time memberships * number of part-time members

5050 = 225f + 125p

If p = 17 this month,

5050 = 225f + 125p

5050 = 225f + 125(17)

5050 = 225f + 2,125

5050 - 2,125 = 225f

2,925 = 225f

f = 2,925/225

f = 13

number of full time members = f = 13

If p = 17 this month, then, f = 13

5 0

3 years ago

Jake bought 4.08 pounds of apples. He knows that 1.19 pounds are Gala apples and the rest are Cameo apples. How many pounds of C

Mama L [17]

Answer:

2.89

Step-by-step explanation:

4.08-1.19 = 2.89

you just do simple subtraction

7 0

3 years ago

Read 2 more answers