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alekssr [168]
3 years ago
14

What value of x makes this equation true? Pl help fast thank you

Mathematics
2 answers:
shtirl [24]3 years ago
6 0

Answer:

D. 27

Step-by-step explanation:

If you plug in the variable and solve it is equal on both sides. EX.

1. 27/3 -3 = 27/9 +3

2. 9-3 = 3+3

3. 6 = 6

Vesna [10]3 years ago
6 0

Answer:

X = 27

you multiply both sides and get 3x-27=x+27

then you move the terms and you get 3x-x=27+27 then calculate and get 2x=54 then divide and you get x==27

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QUESTION 4 of 10: Your average weekly take home wage is $615. You take a one-week paid vacation and a second week unpaid vacati
Anastasy [175]

Answer:

$45

Step-by-step explanation:

Here we need to calculate the income of this year.

We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:

51 * $615 = $31,365

So, our surplus will be our income minus our expenses:

Surplus = $31,365 - $31,320 = $45

Our cash surplus is $45

6 0
3 years ago
Read 2 more answers
Jamie has a half-sheet cake. If she has six friends, how much will each one get?
sesenic [268]

Answer:

<h2>The answer is </h2><h2>B. 1/12</h2>

Step-by-step explanation:

step one:

From the problem state, we can actually conclude that Jamie wants to share the half sheet of cake among her 6 friends

step two:

we can express this problem mathematically as

=\frac{1}{\frac{2}{6} }

we can inverse the denominator and use a multiplication sign instead

\\\\= \frac{1}{2}*\frac{1}{6}

multiplying both denominators we have

\\\\= \frac{1}{12}

The answer is B 1/12

8 0
3 years ago
Jensen Tire &amp; Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel align
sasho [114]

Answer:

Step-by-step explanation:

Hello!

The given data corresponds to the variables

Y:  Annual Maintenance  Expense ($100s)

X: Weekly Usage  (hours)

n= 10

∑X= 253; ∑X²= 7347; \frac{}{X}= ∑X/n= 253/10= 25.3 Hours

∑Y= 346.50; ∑Y²= 13010.75; \frac{}{Y}= ∑Y/n= 346.50/10= 34.65 $100s

∑XY= 9668.5

a)

To estimate the slope and y-intercept you have to apply the following formulas:

b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{9668.5-\frac{253*346.5}{10} }{7347-\frac{(253)^2}{10} }= 0.95

a= \frac{}{Y} -b\frac{}{X} = 34.65-0.95*25.3= 10.53

^Y= a + bX

^Y= 10.53 + 0.95X

b)

H₀: β = 0

H₁: β ≠ 0

α:0.05

F= \frac{MS_{Reg}}{MS_{Error}} ~~F_{Df_{Reg}; Df_{Error}}

F= 47.62

p-value: 0.0001

To decide using the p-value you have to compare it against the level of significance:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The decision is to reject the null hypothesis.

At a 5% significance level you can conclude that the average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

b= 0.95 $100s/hours is the variation of the estimated average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

a= 10.53 $ 100s is the value of the average annual maintenance expense of the computer wheel alignment and balancing machine when the weekly usage is zero.

c)

The value that determines the % of the variability of the dependent variable that is explained by the response variable is the coefficient of determination. You can calculate it manually using the formula:

R^2 = \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]} = \frac{0.95^2[7347-\frac{(253)^2}{10} ]}{[13010.75-\frac{(346.50)^2}{10} ]} = 0.86

This means that 86% of the variability of the annual maintenance expense of the computer wheel alignment and balancing machine is explained by the weekly usage under the estimated model ^Y= 10.53 + 0.95X

d)

Without usage, you'd expect the annual maintenance expense to be $1053

If used 100 hours weekly the expected maintenance expense will be 10.53+0.95*100= 105.53 $100s⇒ $10553

If used 1000 hours weekly the expected maintenance expense will be $96053

It is recommendable to purchase the contract only if the weekly usage of the computer is greater than 100 hours weekly.

4 0
3 years ago
Four friends bought an extra-large $12 popcorn. Each person bought their own drink. The total cost of the food can be represente
Sav [38]

Answer:

True

Step-by-step explanation:

This equation correctly represents the total cost of the food that the friends ended up paying for the popcorn and sodas. In this expression, the cost of each individual soda is represented by the variable x which is multiplied by 4 since each one of the four friend's purchased their own soda. After making this multiplication process that product is added to the initial $12 that they all spent together on the popcorn.

4 0
2 years ago
What are we talking about here?
aleksklad [387]

Answer:

Step-by-step explanation:

Your total income from gambling: $75

Your total expenses related to gambling: $140

Which answer is correct?

Ol won $

OI lost $ 65

8 0
3 years ago
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