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2 years ago

5

The level of water in a bathtub rises 5 inches in 2 hours. What represents the rate of change of the water level with respect to

time?

2 answers:

nika2105 [10]2 years ago

8 0

You're looking for displacement meaning the change in the water level but also according to that specific time.
5/2= 2.5

loris [4]2 years ago

6 0

Increase of water level at the rate of 2.5 inches per hour.

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The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fi

Ira Lisetskai [31]

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

7 0

2 years ago

A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an

Mkey [24]

Answer:

<u>120 pens and 200 pencils.</u>

<u></u>

Explanation:

You can set a system of two equations.

<u>1. Variables</u>

<u />

x: number of pens
y: number of pencils

<u>2. Cost</u>

<em>each pen costs</em> $1, then x pens costs: x
<em>each pencil costs</em> $0.5, then y pencil costs: 0.5y

Then, the total cost is: x + 0.5y

The cost of the whole purchase was $ 220, then the first equation is:

x + 0.5y = 220 ↔ equation (1)

<u>3. </u><em><u>There were 80 more pencils than pens</u></em>

Then:

pencils = 80 + pens

↓ ↓

y = 80 + x ↔ equation (2)

<u>4. Solve the system</u>

i) Substitute the equation (2) into the equation (1):

x + 0.5(80 + x) = 220

ii) Solve

x + 40 + 0.5x = 220

1.5x = 180

x = 180/1.5

x = 120 pens

iii) Substitute x = 120 into the equation (2)

y = 80 + 120

y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

6 0

2 years ago

A and B have certain number of mangoes. A says to B, " If you give me 10 of your mangoes, I will have twice as many as left with

Stella [2.4K]

Answer:

A had 22 mangoes, B had 26 mangoes

Step-by-step explanation:

We can write the following system:

A + 10 = 2(B - 10) -- Equation 1

3(A - 10) = B + 10 -- Equation 2

A + 10 = 2B - 20 → A = 2B - 30 -- Equation 3 (Simplify Equation 1)

3(2B - 30 - 10) = B + 10 -- Equation 4 (Substitute 3 into 2)

3(2B - 40) = B + 10

6B - 120 = B + 10

5B = 130

B = 26 -- (Solve for B in Equation 4)

A = 2 * 26 - 30 = 22 -- (Substitute B = 26 into Equation 3)

7 0

2 years ago

Select the correct answer from each drop-down menu.

kompoz [17]

Answer: B has greater spread than A.

Step-by-step explanation:

Since we have given that

Set A: {38, 12, 23, 48, 55, 16, 18}

Range of A = Highest - Lowest

Range of A = 55 - 12

Range of A = 43

Set B:{44, 13, 24, 12, 56}

Range of B = Highest - Lowest

Range of B = 56 - 12

Range of B = 44

Since Range of B is more than range of A.

Hence, B has greater spread than A.

6 0

2 years ago

You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. Remember, Area = Length × Width. If ea

pochemuha

Answer:

402.9 $

Step-by-step explanation:

first you must turn foot into yards "every 3 foot = 1 yard"

3.33 , 4

then we will use the area=length x width formula

3.33 x 4 = 13.32 square yards

the cost of the carpet is

13.32 x 30.25 = 402.9$

4 0

2 years ago