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sammy [17]
2 years ago
14

You want to create a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. The c

osts at two studios are shown.
The cost in studio A is, Vase: 10 dollars and 49 cents; Studio fee: 8 dollars per hour. Cost in studio B is, Vase: 14 dollars and 99 cents; Studio fee: 6 dollars and 50 cents per hour.

a. After how many hours are the total costs the same at both studios?
Mathematics
1 answer:
nikdorinn [45]2 years ago
5 0

for 3 hours, both studios charge the same amount.

<h3>After how many hours are the total costs the same at both studios?</h3>

The cost equation for studio A is:

A(x) = 10.49 + 8*x

The cost equation for studio B is:

A(x) = 14.99 + 6.5*x

The cost will be the same when A(x) = B(x), then we just need to solve the linear equation:

10.49 + 8*x = 14.99 + 6.5*x

8x - 6.5x = 14.99 - 10.49

x = (14.99 - 10.49)/(8 - 6.5) = 3

This means that for 3 hours, both studios charge the same amount.

if you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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In the equation, 7 (3a+12)=168 , what are some of the steps that should be taken to solve for x? Select all that apply.
Svetradugi [14.3K]

7(3a + 12) = 168 ← ( divide both sides by 7 )

3a + 12 = 24 ← ( subtract 12 from both sides )

3a = 12 ← ( divide both sides by 3 )

a = 4

OR

distribute the parenthesis by 7

21a + 84 = 168 ← ( subtract 84 from both sides )

21a = 84 ← ( divide both sides by 21 )

a = 4


5 0
3 years ago
Sociology graduates, upon entering the workforce are normally distributed and earn a mean salary of $30,000 with a standard devi
GrogVix [38]

Answer:

0.62% probability that randomly chosen salary exceeds $40,000

Step-by-step explanation:

Problems of normally distributed distributions are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 30000, \sigma = 4000

What is the probability that randomly chosen salary exceeds $40,000

This is 1 subtracted by the pvalue of Z when X = 40000. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40000 - 30000}{4000}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938 = 0.0062

0.62% probability that randomly chosen salary exceeds $40,000

7 0
3 years ago
HEEEEEELLLLLLPPPPPPP MEEEEEEEEEE
N76 [4]

Answer:

y=6

Step-by-step explanation:

-4 + 3y =14

3y= 18

y=6

8 0
3 years ago
Read 2 more answers
What is 52,327 rounded to the nearest ten thousand
NNADVOKAT [17]

Answer:

50,000

Step-by-step explanation:

5 0
3 years ago
When we’re writing, we can use a thesaurus to find a different word with the same meaning to present an idea. How can we find di
SashulF [63]

Algebraic expressions are expressions that are represented by variables and constants

The different ways to present algebraic expressions without changing their meaning is by using an equivalent expression

<h3>How to write an algebraic expression differently</h3>

To rewrite an algebraic expression without changing its meaning, we simply rewrite the expression using an equivalent expression.

Assume the expression is:

2x + 3

Another way to write the above expression is:

3 + 2x

This is so because both expressions are equivalent

Hence, the different ways to present algebraic expressions is by using an equivalent expression

Read more about equivalent expressions at:

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4 0
2 years ago
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