All categories

2 years ago

William has 15 3/5 quarts of paint. He equally divided the paint into 3 gallon-sized

Mathematics

1 answer:

Vikki [24]2 years ago

4 0

Answer:

He has left 1.3 gallons of paint

Step-by-step explanation:

* Lets explain how to solve the problem

- William has 15 3/5 quarts of paint

- He divided the amount of paint equally into 3 gallon-sized containers

- He used 2 containers

- We need to find how many gallons of paint is left

* Lets use the information above to solve the problem

∵ William has 15 3/5 quarts of paint

∵ 15 3/5 = 15.6 quarts as a decimal

∵ 4 quarts = 1 gallon

∴ 15.6 quarts = 15.6 ÷ 4 = 3.9 gallons

∵ He divided the paint equally into 3 gallon-sized containers

∴ Each container has = 3.9 ÷ 3 = 1.3 gallons

∴ Each container has 1.3 gallons of paint

∵ He used 2 of them

∴ He used ⇒ 2 × 1.3 = 2.6 gallons

∴ The third container is left

∵ The container has 1.3 gallons

∴ He has left 1.3 gallons of paint

You might be interested in

In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.

klio [65]

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12 (answer)

HOPE THIS HELPED ;3

5 0

3 years ago

cuboid of length 24cm and volume 768cm^3 the width and hight are not equal.give a pair of possible values for their length.

Brilliant_brown [7]

Answer:

Possible values of dimensions are (24,16,2) or (24,8,4)

Step-by-step explanation:

We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.

Let us say that the width is x and height is y

Length = 24

Volume of a cuboid = length * width * height

Volume = 768

768=24*x*y

$xy=\frac{768}{24}\\xy=32\\$

xy=32

Now the possible factors of 32

32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can not be more length)

32=2*16

32=4*8

Hence the possible values width are 8, 16 and that of height 4 and 2

Hence the possible values of dimensions are (24,16,2) or (24,8,4)

3 0

3 years ago

How can you use the DISTRIBUTIVE PROPERTY solve the equation: 3(x-4) = 24 ? *

guapka [62]

By using the Distributive Property, you would multiply 3 into the parenthesis (3 · x and 3 · -4)

3(x - 4) = 24

3x - 12 = 24

Then, you would solve like any normal one-step equation.

3x - 12 = 24

+12 +12

__________

3x 36

__ = __

3 3

x = 12, which is your final solution.

If you need any further explanations, please ask me :)

7 0

2 years ago

Read 2 more answers

HELP HELP HELP , I WILL MARK BRAINLIEST!!

Nataly [62]

Answer:

Step-by-step explanation:

3 0

2 years ago

Solve the system of equations.<br> – 9y + 4x – 11 = 0<br> - 3y + 10x + 31 = 0

Kruka [31]

value of x =-4 and value of y=-3

(-4,-3) is the solution of system of equations.

Step-by-step explanation:

We need to solve the system of equations

$-9y + 4x-11 = 0- 3y + 10x + 31 = 0$

Rearranging:

$-9y + 4x = 11\,\,\,eq(1)\\- 3y + 10x=- 31 = 0\,\,\,eq(2)$

Multiply eq(2) with 3 and subtract eq(2) from eq(1)

$-9y + 4x = 11\\-9y+30x=-93\\+\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\-26x=104\\x=\frac{104}{-26}\\x=-4$

Putting value of x = -4 into eq(1)

$-9y + 4x = 11\\-9y+4(-4)=11\\-9y-16=11\\-9y=11+16\\-9y=27\\y=\frac{27}{-9}\\y=-3$

So, value of x =-4 and value of y=-3

(-4,-3) is the solution of system of equations.

Keywords: system of equations.

Learn more about system of equations at:

#learnwithBrainly

5 0

3 years ago