Which division expression represents paiges speed in miles per minute

torisob [31]

~54: 1,2,3,6,9,27~

~2,754:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,
306,459, 918,1377,2754~

~27: 1,3,9,27~

GCF: 27

Your answer would be for the GCF would be 27

6 0

3 years ago

When solving an ______, use inverse operations to undo the operations.

s2008m [1.1K]

Answer:

equation

Step-by-step explanation:

Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry. Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on.

[RevyBreeze]

3 0

2 years ago

Read 2 more answers

Sam is fencing in his property. The length is 12 feet less than twice the width. If the total amount of fence needed is 216 feet

DaniilM [7]

Answer:

L = 68 ft

Step-by-step explanation:

To find the perimeter of something you need to add up all the sides

In this case I am assuming Sam's property is a square/rectangle

Which means the formula for the perimeter is P = 2L + 2W

If L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l

216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us
216 = 4W - 24 + 2W → combing like terms gives us
216 = 6W - 24 → adding 24 to both sides gives us
240 = 6W → dividing both sides by 6 gives us
40 ft = W

With the width being solved, we can now plug that value into our length equation

L = 2(40) - 12 → distributing the 2 to the 40 gives us
L = 80 - 12 → combing like terms give us
L = 68 ft

3 0

3 years ago

Use the continuous compound interest formula to find the indicated value. A=90,000; P=65,452; r=9.1%; t=? t=years (Do not round

Butoxors [25]

$\bf \qquad \textit{Simple Interest Earned}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &90,000\\
P=\textit{original amount}\to& \$65,452\\
r=rate\to 9.1\%\to \frac{9.1}{100}\to &0.091\\
t=years
\end{cases}$

$\bf 90000=65452e^{0.091t}\implies \cfrac{90000}{65452}=e^{0.091t}\implies \cfrac{22500}{16363}=e^{0.091t}
\\\\\\
\textit{taking \underline{ln} to both sides}\qquad ln\left( \cfrac{22500}{16363} \right)=ln\left( e^{0.091t} \right)
\\\\\\
ln\left( \cfrac{22500}{16363} \right)=0.091t\implies 
\cfrac{ln\left( \frac{22500}{16363} \right)}{0.091}=t$

7 0

3 years ago

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 15 f

dezoksy [38]

Answer:

21 ft

Step-by-step explanation:

We are given that the support post is 10 ft tall.

Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.

By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

So, by the previous Theorem, we get:

$\frac{25}{10} =\frac{10}{x} \\25x=100\\x=100:25\\x=4$

We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is $25-4=21$ ft.

3 0

3 years ago