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motikmotik
3 years ago
9

Solve and check. All steps must be shown. 5x + 15 = 75 - 25x

Mathematics
2 answers:
Misha Larkins [42]3 years ago
8 0

Answer:

= 2

Step-by-step explanation:5x+15=75-25x

We move all terms to the left:

5x+15-(75-25x)=0

We add all the numbers together, and all the variables

5x-(-25x+75)+15=0

We get rid of parentheses

5x+25x-75+15=0

We add all the numbers together, and all the variables

30x-60=0

We move all terms containing x to the left, all other terms to the right

30x=60

x=60/30

x=2

GaryK [48]3 years ago
6 0

Answer:

X = 3

Step-by-step explanation:

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3 years ago
Given the function f(x) = 2^x, find the value of f^−1(32).
klio [65]
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Steps to find inverse of f(x) are shown below in the image.

So f^{-1}(32) = \frac{ln(32)}{ln(2)}=5

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An interior angle and an exterior angle are adjacent. The exterior angle measures 113°. What is the measure of the interior angl
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3 years ago
Read 2 more answers
Adrian makes $36.50 per day plus tips. His average tip is 17% of the total amount of money customers spend. Which equation could
quester [9]

Answer:

For this case we know that the fixed cost is $36.50 and the variable cost is 17% of the total amount of money customers spend, let's asusme that this variable is x. And we can create a model like this one:

y = mx +b

Where y represent the income and x the the total amount of money customers would need to spend. For this case the value for b = 36.50 and the slope m would be 0.17 since if we convert the % into a fraction we got 0.17. So then the best option is:

150 = 36.5 +0.17x

D. 150 = 36.50 + 0.17x

Step-by-step explanation:

For this case we know that the fixed cost is $36.50 and the variable cost is 17% of the total amount of money customers spend, let's asusme that this variable is x. And we can create a model like this one:

y = mx +b

Where y represent the income and x the the total amount of money customers would need to spend. For this case the value for b = 36.50 and the slope would be 0.17 since if we convert the % into a fraction we got 0.17. So then the best option is:

150 = 36.5 +0.17x

D. 150 = 36.50 + 0.17x

3 0
3 years ago
Tom has $10 that he wants to use to buy pens and pencils. However, he does not want to buy more pens than pencils. A pen costs $
Olin [163]
Number of pencils x

number of pens y

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x ≤ y

Draw the line 3x + y = 10 .[it passes by (0,10) and (-10/3,0)

Draw the line y=x [it passes by (0,0), (1,1), (2,2) etc]

Then the solution is the points with integer x and y, that belong to the segment of the line 3x +y = 10 between the x-axis and the line y=x. Those points are (1,7) , (2,4), (3, 1).



 
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3 years ago
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