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2 years ago

10q - 30 is equivalent to _____. 3(q - 10) 10(q - 30) 10(q - 3)

Mathematics

2 answers:

shutvik [7]2 years ago

8 0

10q - 30 = 10 · q - 10 · 3 = 10(q - 3)

liubo4ka [24]2 years ago

5 0

Answer:

$10(q-3)$

Last option is correct.

Step-by-step explanation:

We have been given the expression $10q-30$

The greatest common factor or GCF of the given expression is 10.

Hence, we factored out 10. When we factored out 10, we have to divide all the terms by 10.

$10(\frac{10q}{10}-\frac{30}{10})$

On simplifying, we get

$10(q-3)$

Therefore, the expression $10q-30$ is equivalent to $10(q-3)$

Last option is correct.

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During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?

Mazyrski [523]

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Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

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2 years ago

In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegeta

alukav5142 [94]

Answer:

$Z_{0.05}=1.645$

Step-by-step explanation:

Given :In a recent questionnaire about food, a random sample of 970 adults were asked about whether they prefer eating fruits or vegetables, and 458 reported that they preferred eating vegetables.

To Find :What value of z should be used to calculate a confidence interval with a 95 % confidence level?

Solution:

Confidence level = 95 % i.e.0.95

So, significance level = 5% i.e. 0.05

So, the value of z corresponding to significance level 0.05 should be used to calculate a confidence interval with a 95 % confidence level

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Hence z should be 1.645 to calculate a confidence interval with a 95 % confidence level.

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