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3 years ago

HELP PLEASE -ILL GIVE BRILLIANT-

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

Answer:

The cube will fit on the shelf.

Explanation:

If the volume is 10 cubic feet, then the height is around 2.1-2.2 feet high. One foot is 12 inches, so the height in inches is around 25.2-26.4 which is less than 30 inches.

inessss [21]3 years ago

3 0

Answer:

Yes

Step-by-step explanation:

First, find the side length of the cube. The volume of a cube is denoted by: V = s * s * s, where s is the side length. We don't know the side length here, but we do know the volume, so plug that in:

10 = s * s * s

s = ∛10 = 2.2 ft

Convert this to inches by multiplying by 12:

2.2 * 12 = 26.4 inches

Thus, since 26.4 < 30, the cube can fit on the shelf.

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Mrs.Cleaver mixes 1.24 liters of red paint with 3 times of blue paint to obtain purple paint. She divides the paint equally in 5

slamgirl [31]

The amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Further explanation:

Mrs. Cleaver mixes 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint used is calculated as,

${3} \times {1.24}=3.72 \text { liters}$

Therefore, the total paint mixture is the sum of blue paint and red paint.

$\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}$

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}$

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is $\dfrac{3}{4}$ .

Now, as it is known that the fraction of blue paint to the total paint is $\dfrac{3}{4}$ and the amount of paint in a container is $0.992 \text{ liters}$ then the blue paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}$

Thus, the amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

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Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

4 0

3 years ago

Read 2 more answers

To solve by completing the square, what needs to be moved in this equation? x² = 9 - 4x

sashaice [31]

-4x needs to be moved to the other side

5 0

3 years ago

X/6=x/7-5 Please show work thank you so much!!

stiv31 [10]

Step-by-step explanation:

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