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3 years ago

7

Nikki spent $59.29 on clothing. She bought 3 shirts and a pair of pants. The pair of pants cost $21.79. If each shirt cost the s

ame amount, how much did each shirt cost?

1 answer:

7nadin3 [17]3 years ago

4 0

The amount she had after the pants is $37.50
the you take $37.50 divide it by 3 and you get $12.50 so each shirt would cost $12.50

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Calculate 8 ∙ 10-4 divided by 2 ∙ 102. (box after the "10" in answer is for the exponent.). ∙ 10

Korolek [52]

Given problem: $\frac{8*10^{-4}}{2*10^2}$ .

Solution: We can see that first we have 8 and 2 numbers in front of 10's powers.

So, we need to simplify 8 over 2 first.

If we divide 8 by 2, we get 4.

Now, let us work on 10's and their powers.

$10^{-4}$ is being divided by $10^{2}.$

We can apply quotient rule of exponents remaining part.

According to quotient rule of exponents, $\frac{a^m}{a^n}=a^{m-n}$

If we apply same rule, we need to subtract exponents of 10's.

$\frac{10^{-4}}{10^2}=10^{-4-(-2)}$

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3 years ago

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3 years ago

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Evaluate the expression 2ab^3 + 6a^3 - 4ab^2 when a = 2 and b = 4.

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The answer is A) 176

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3 years ago

$6x + $15 ≤ $70<br><br><br> I have no idea- xd

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Answer:

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3 years ago

Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest

Fantom [35]

Answer:

$0.66$

Step-by-step explanation:

GIVEN: Suppose that in a certain county $37\%$ of voters are registered as Democrats, $29\%$ as Republicans, $7\%$ as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be $100x$ .

voters registered as Democrats $=37\%=\frac{37}{100}\times100x$

$=37x$

voters registered as Republicans $=29\%=\frac{29}{100}\times100x$

$=29x$

voters registered as Green party $=7\%=\frac{7}{100}\times100x$

$=7x$

Probability that first call will be to Democrats $P(A)=\frac{\text{total democrats}}{\text{total voters}}$

$=\frac{37x}{100x}=0.37$

Probability that first call will be to Republican $P(B)=\frac{\text{total republicans}}{\text{total voters}}$

$=\frac{29x}{100x}=0.29$

probability that the first call will be to either a Democrat or a Republican

$=P(A)+P(B)$

$=0.37+0.29$

$=0.66$

Hence the probability that the first call will be to either a Democrat or a Republican is $0.66$

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4 years ago