For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?

Answers

Answer 1
Answer:

Answer:

The equation is 1/2c + 1 = 6

The answer to this equation is 10.

Step-by-step explanation:

Anderson earns $1 more, so you would put '+1' in the equation. Since it says 'half of Carey's hourly rate', you would put 1/2c in the equation. $6 is the total, so that would go on the other side of the equation, thus creating the final equation 1/2c + 1 =6.

Answer 2
Answer: Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2
So, 6=1+c/2
      12=2+c
c=$10
Carey earns $10 hourly

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Answers

Answer:

The answer is D.384

Step-by-step explanation:

A company will pay Becky $120 for her first sale. For each sale after that, they will pay her an extra $31.50 per sale. How many sales will Becky have to make to earn at least $2000?

Answers

Final answer:

Through the establishment and solution of a linear equation, we can calculate that Becky needs to make 62 total sales to earn at least $2000.

Explanation:

This problem is a case of a linear function in Mathematics, specifically about understanding how to construct and solve a linear equation. First, Becky earns $120 on her first sale. Then, each subsequent sale after the first one earns her an additional $31.50. We set up the equation $120 + $31.50(x - 1) >= $2000, where x is the number of total sales she must make. After solving that equation for x, you'll get around 61.57, but since she can't sell a fraction of a product, we'll round that up to 62. Thus, Becky needs to make 62 sales to earn at least $2000.

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Answer:

About 60 sales.

Step-by-step explanation:

Consider a set of 7500 scores on a national test whose score is known to be distributed normally with a mean of 510 and a standard deviation of 85. About how many scores greater than 600 would we expect to find?

Answers

\mathbb P(X>600)=\mathbb P\left((X-510)/(85)>(600-510)/(85)\right)=\mathbb P(Z>1.059)\approx0.145

So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see 0.145*7500\approx10.86 scores above 600.

Final answer:

First, calculate the z-score for 600 using the provided mean and standard deviation. The result, approximately 1.059, indicates that it lies roughly one standard deviation above the mean. Approximately 15.87% of scores in a normal distribution are more than 1 standard deviation greater than the mean, so we would expect about 15.87% of 7500, or 1190 scores, to be greater than 600.

Explanation:

The question is asking about a phenomenon in statistics called the normal distribution, which is a type of continuous probability distribution often seen in natural parameters such as heights, weights, or scores, as in this case. To find how many scores are greater than 600, we first need to calculate the z-score, which measures how many standard deviations an element is from the mean.

The z-score formula is Z = (X - μ)/σ, where X is the score, μ is the mean, and σ is the standard deviation. In this case, X = 600, μ = 510, and σ = 85. So, Z = (600 - 510)/85 ≈ 1.059.

For a normal distribution, about 15.87% of the data falls more than 1 standard deviation greater than the mean. So, we would expect about 15.87% of 7500 scores to be greater than 600. That means, approximately 1190 scores would be greater than 600.

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JOSIE MAKES FRUIT PUNCH BY MIXING FRUIT JUICE AND LEMONADE IN THE RATIO 1:3 SHE NEEDS 24 LITRES OF PUNCH FOR A PARTYHOW MUCH FRUIT JUICE DOES SHE NEED?
FRUIT JUICE:
LEMONADE:
(IN LITRES)

Answers


the answer is as following:

Fruit juice:6

Lemonade:18

the answer has to equal 1/3 so the answer is 6 for fruit juice and 18 for lemonade

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school chili cook off contest.All the pans of cornbread are square.A pan of cornbread cost $12.The costumers can buy and fractional part of a pan of cornbread and pay that fraction of $12.For example, 1/2 of a full pan cost 1/2 of $12.What questions or question do you think could be part of this problem?

What operation do you think you would use to solve this problem?why?

Answers

A possible question could be: Maria only wants 1/4 of a pan of cornbread. How much will she have to pay?
Answer: 3 dollars.
Possible equation: 1/4p = x; where p = 12 and x = amount to be payed.

Alex's carpet cleaning service charges $12 dollarsper job and $0.10 per foot of vacuuming.
Alex earned $52. How many feet did he vacuum?
y= rate • + constant

Answers

40 ft

explanation

52-12= 40