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gulaghasi [49]
4 years ago
14

Can you please help me answer this problem

Mathematics
1 answer:
sweet-ann [11.9K]4 years ago
7 0
You need to find "dollars per hour". So you need to know the total dollars and the total hours.

You already know the total dollars ... it's 54.

What are the total hours ?    2-1/2  plus  4-1/4  .  Can you add those ?

Once you add up the total hours, divide ($54) divided by (total hours).

The quotient is the number of dollars she earns for each hour she works.
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~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}

8^x\cdot \cfrac{1}{4^{x-1}}=\cfrac{1}{32}\implies 8^x\cdot \cfrac{1}{4^x4^{-1}}=\cfrac{1}{32}\implies \cfrac{8^x}{4^x4^{-1}}=\cfrac{1}{32} \implies \cfrac{8^x}{4^x}\cdot \cfrac{1}{4^{-1}}=\cfrac{1}{32} \\\\\\ \left( \cfrac{8}{4} \right)^x\cdot 4=\cfrac{1}{32}\implies 2^x\cdot 2^2=\cfrac{1}{32}\implies 2^x\cdot 2^2=\cfrac{1}{2^5}\implies 2^{x+2}=2^{-5} \\\\\\ x+2=-5\implies x=-7

6 0
2 years ago
Read 2 more answers
Write the equation of the line in point-slope form<br><br> Slope= -1/5<br> Y-intercept= -3
Levart [38]

Answer: Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept

Step-by-step explanation:

To find the slope, you need to plug into the slope formula (y2-y1)/(x2-x1) using 2 coordinate points (x1,y1) and (x2,y2).

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3 years ago
Check the functions whose inverses are also functions.
Trava [24]

Answer:

b and c

Step-by-step explanation:

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Select all the fractions that are greater than 1/2
skad [1K]
10/7 7/13 3/5 is probably some of the answer
7 0
3 years ago
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. M
jolli1 [7]

Answer:

i. No, Maurice statement is wrong.

ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.

Step-by-step explanation:

Stephan's piece of wood measures; 18 inches in length and 12 inches in width.

Since the piece of wood has a shape of a rectangle,

the area of the piece of wood = length × width

                                                = 18 × 12

                                               = 216 square inches

According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.

The base has the shape of a square, so that;

    the area of the base = length × width =

                                      = 1012 ×1012

                                     = 1024144 squared inches

This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has. and 16 more users found this answer helpful

THANKS

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6 0
3 years ago
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