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slega [8]
2 years ago
13

Write the sum of the numbers as the product of their GCF and another sum.

Mathematics
1 answer:
8090 [49]2 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

1. Find the GCF of 40 and 44:

40=\underline{2\cdot 2}\cdot 2\cdot 5\\ \\44=\underline{2\cdot 2}\cdot 2\cdot 11\\ \\GCF(40,44)=2\cdot 2=4

So,

40+44=4\cdot 10+4\cdot 11=4\cdot (10+11)

2. Find the GCF of 13 and 52:

13=\underline{13}\\ \\52=2\cdot 2\cdot \underline{13}\\ \\GCF(13,52)=13

So,

13+52=13\cdot 1+13\cdot 4=13\cdot (1+4)

3. Find the GCF of 15 and 81:

15=\underline{3}\cdot 5\\ \\81=\underline{3}\cdot 3\cdot 3\cdot 3\\ \\GCF(15,81)=3

So,

15+81=3\cdot 5+3\cdot 27=3\cdot (5+27)

4. Find the GCF of 64 and 28:

64=\underline{2\cdot 2}\cdot 2\cdot 2\cdot 2\cdot 2\\ \\28=\underline{2\cdot 2}\cdot 7\\ \\GCF(64,28)=2\cdot 2=4

So,

64+28=4\cdot 16+4\cdot 7=4\cdot (16+7)

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3 years ago
The mold for a cone has a diameter of 4 inches in 6 inches tall what is the volume of the cone mold to the nearest 10th
anygoal [31]

Hey there!

The formula for the volume of a cone is V=\pi r^{2} \frac{h}{3}.

In this cone, we have the given information:

  • Its diameter is 4 inches
  • Its height is 6 inches

The information we need for this formula is the radius and height.

We already have the height, but not the radius.

Fortunately, we can easily get it by dividing the diameter by 2.

4 \div 2 = 2

So, the radius is 2.

Let 3.14 be \pi.

Plug in each value into the equation. V = 3.14 \times 2^{2} \times \frac{6}{3}

Simplify the exponent and fraction.

V = 3.14 \times 4 \times 2

Multiply the three numbers together.

V = 25.12

But wait! We have to round this to the nearest tenth.

When rounding, we look at the place value one less than the one we are rounding to. Since we are rounding to the nearest tenth, we look at the hundredths place, which is the digit 2.

Since 2 is less than 5, we round down to 25.1.

This is the volume of a cube, and it is measured in inches, so the unit we will use is in^{3}.

So, your <u>final answer</u> is 25.1 in^{3}!

Hope this helps!

8 0
2 years ago
Point R is on line segment QS. Given QS= 5x-2, QR= 3x-6, and RS=4x-2, determine the numerical length of RS.
pashok25 [27]

Answer:

The numerical length of RS is 10 units

Step-by-step explanation:

* <em>Lets explain How to solve the problem</em>

- Point R is on line segment QS

- The length of QS is (5x - 2)

- The length of QR is (3x - 6)

- The length of RS is (4x - 2)

- <em>The length of QS is the sum of the lengths of QR and RS</em>

∵ QS = QR + RS

∴ (5x - 2) = (3x - 6) + (4x - 2)

- Simplify the right hand side by adding like terms

∴ 5x - 2 = (3x + 4x) + (-6 + -2)

∴ 5x - 2 = 7x + -8 ⇒ (+)(-) = (-)

∴ 5x - 2 = 7x - 8

- Add 8 for both sides

∴ 5x + 6 = 7x

- Subtract 5x from both sides

∴ 6 = 2x

- Divide both sides by 2

∴ x = 3

- <em>To find the length of RS substitute the value of x in its expression</em>

∵ RS = 4x - 2

∵ x = 3

∴ RS = 4(3) - 2 = 12 - 2 = 10

∴ The numerical length of RS is 10 units

8 0
3 years ago
What are the domain and range of the function
Marina86 [1]

Answer:

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Range are all the possible Y values on a graph

Step-by-step explanation:

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5 0
2 years ago
X/8+6=32 <br><br><br><br><br>this is a problem from my math homework please help me solve it!
Whitepunk [10]
X/8=32-6
x/8=26 Do cross product
x=8*26
x=208
7 0
3 years ago
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