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shepuryov [24]
3 years ago
10

paulo has a certain amount of money.if he spends $600,then he has 1forth of the original amount left.

Mathematics
1 answer:
k0ka [10]3 years ago
6 0
Original amount was $2400
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Rewrite the expression as a single power with a negative exponent
goblinko [34]

~\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] ~\dotfill\\\\ \left(\cfrac{1}{3}\cdot \cfrac{1}{3}\cdot \cfrac{1}{3}\cdot \cfrac{1}{3} \right)^2\implies \left[ \left( \cfrac{1}{3} \right)^4 \right]^2\implies \left( \cfrac{1^4}{3^4} \right)^2 \\\\\\ \left( \cfrac{1^{4\cdot 2}}{3^{4\cdot 2}} \right) \implies \cfrac{1}{3^8} \implies 3^{-8}

let's recall that  

\begin{array}{llll} 1^1&=&1\\ 1^{10}&=&1\\ 1^{1,000}&=&1\\ 1^{1,000,000,000}&=&1\\ 1^{1,000,000,000,000}&=&1\\ \end{array}

8 0
2 years ago
Of the choices below, what is the best estimate of the speed of the milk van?
galben [10]

Answer:

A. 77 kilometers per hour

Step-by-step explanation:

Speeds of vehicles are normally calculated in kilometers per hour, meters per hour is too small the measurement and millimeters is even smaller.

7 0
3 years ago
Solve the equation 0.5p -3.45= -1.2.​
ddd [48]

Answer:

4.5

Step-by-step explanation:

0.5p-3.45=-1.2

add 3.45 to -1.2 which would leave the equation to look like

0.5p=2.25

then divide 0.5 to both sides cancelling 0.5 leaving the answer to be

p=4.5

6 0
3 years ago
All tubes of watercolor paint at an art supply store have the the same price. An artist has a coupon for $0.50 off each tube of
BlackZzzverrR [31]

Let us assume the regular price of each tube of paint = r.

0.50 off each tube.

New price of each tube = r - 0.50.

She buy 6 tubes.

Total price of 6 tubes = 6×(r-0.50).

We are given total price = $84.30 .

Therefore, we can setup an equation

6×(r-0.50) = 84.30.

Distributing 6 over (r-0.50), we get

6r - 3.0 = 84.30

Adding 3.0 on both sides, we get

6r - 3.0+3.0 = 84.30+3.0

6r = 87.30

Dividing both sides by 6, we get

6r/6 = 87.30/6

r = 14.55

<h3>Therefore, required equation is 6(r-0.50) = 84.30 and the regular price of each tube of paint is $14.55.</h3>
5 0
3 years ago
Which statements are true about polygons? Select three options.
Assoli18 [71]

Answer:

A polygon is any 2-dimensional shape formed with straight lines.

Step-by-step explanation:

5 0
3 years ago
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