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natita [175]
4 years ago
15

Each blue cube represents one cubic unit of volume. What is the volume of the large box? A) 20 cubic units B) 48 cubic units C)

288 cubic units D) 384 cubic units
Mathematics
1 answer:
konstantin123 [22]4 years ago
5 0

Answer:

The volume of the large box is 384 cubic units

Step-by-step explanation:

Here, we have;

The number of cubes along the base of the front of the large box (width) = 8 cubes

The number of cubes along the base of the side of the large box (length) = 8 cubes

The number of cubes along the right  side of the front of the large box (the box height)  = 6 cubes

The volume of the large box = Length × Width × Height

∴ The volume of the large box = 8 cubes × 8 cubes × 6 cubes = 384 cubic units.

The volume of the large box = 384 cubic units.

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Manny can assemble a computer by himself in 50 minutes. Lucy does the same job in 45 minutes. How long will it take to assemble
jonny [76]
Manny can assemble a computer in 50 minutes. That means, in a minute Manny does \frac{1}{50} job.

Lucy can assemble a computer in 45 minutes. That means, in a minute Lucy does \frac{1}{45} job.

If they are working together, in a minute they will do:
\dfrac{1}{50} + \dfrac{1}{45}
= \dfrac{9}{450} + \dfrac{10}{450} \text{(equalize the denominator)}
=\dfrac{19}{450}
In a minute they will do \frac{19}{450} job

To finish the job they will do it in \frac{450}{19} minutes or about 24 minutes.
5 0
4 years ago
A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle
Natali [406]

Answer:

\sqrt{514} cm, 8cm, are both options

Step-by-step explanation:

For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm

But if 17cm is the longest side then:

a^2+15^2=17^2\\8^2+15^2=17^2\\a=8cm

Hope this helps!

4 0
3 years ago
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sladkih [1.3K]

Answer:

10.

Step-by-step explanation:

9e + 4 = -5e + 14 + 13e

9e + 5e - 13e = 14 - 4

e = 10

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3 years ago
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6.7 more than 5 times a number is 20
IrinaK [193]
Subtract 6.7 from 20. This is 13.3. Divide 13.3/5 is 2.66. That is the answer
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3 years ago
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16y2 – 64<br> What is the answer to this problem
Elodia [21]

Answer:

448 is the answer to 16y2 – 64.

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3 years ago
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