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Elis [28]
3 years ago
6

Which choice shows how to find the greatest common factor of 18 and 72 through prime factorization

Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0

\begin{array}{c|c}18&2\\9&3\\3&3\\1\end{array}\\\\18=\boxed2\cdot\boxed3\cdot\boxed3\\\\\begin{array}{c|c}72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\\\\72=2\cdot2\cdot\boxed2\cdot\boxed3\cdot\boxed3\\\\GCF(18,\ 72)=\boxed2\cdot\boxed3\cdot\boxed3=\boxed{\boxed{18}}

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Help me with these two problems? (attatched below)
Inessa [10]
You are given an annual interest rate of 4.2% compounded monthly for 20 years, mortgage amount of $235,000. You are asked to find the monthly payment. You need the compound interest formula to solve this problem. The answer is $1,449.
4 0
3 years ago
An equation is shown below:
Oliga [24]

Answer:

5/2 , 5/-2

Step-by-step explanation:

0ne is :

4+2x-5=4

4+2x=4+5

2x=9-4

x=5/2

anf another is:

4+2x-5=4

4+5-4=-2x

9-4=-2x

5=-2x

5/-2=x

7 0
3 years ago
Given circle O, angle A has a measure of 36° and the radius is 10 cm, find the area of sector BOC.
Fed [463]

Answer:

The area of the sector BOC is A' = 31.4 cm^{2}

Step-by-step explanation:

Radius of the circle = 10 cm = 0.1 m

Angle of sector \theta = 36°

Area of the circle A = \pi r^{2}

A = 3.14 × 0.1^{2} = 0.0314 m^{2}

Now area of the sector BOC is

A' = A (\frac{\theta}{360} )

A' = 0.0314 (\frac{36}{360} )

A' = 0.00314  m^{2} = 31.4 cm^{2}

Therefore the area of the sector BOC is A' = 31.4 cm^{2}

7 0
4 years ago
Bob orders 2 tons of dog food every month, the order must be placed in 50 pound sacks. Each sack costs $11.99. How many 50 pound
Aleksandr-060686 [28]

Answer:

80 sacks for $959.2

Step-by-step explanation:

2 tons = 4000 lbs.

If each sack cost $11.99, and is weighted at 50 pounds than

4000/50 = 80

80 x $11.99 = $959.2

4 0
3 years ago
Find the inverse of the function f(x)= 4x-2
Tju [1.3M]

Answer:

f⁻¹(x) = x/4 + 1/2

Step-by-step explanation:

To find the inverse of a function, switch the x and y variables, then isolate y.

f(x) replaced y, so you can replace it back.

y = 4x - 2

x = 4y - 2   Switched x and y

x + 2 = 4y  Added 2 to both sides

y = x/4 + 2/4    Divided both sides by 4

y = x/4 + 1/2   Simplified

f⁻¹(x) = x/4 + 1/2    Use function notation

4 0
4 years ago
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