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ella [17]
2 years ago
9

You get paid ​​\$14.50$14.50​ an hour at your job and the newest video game costs ​\$85.00$85.00​. Find the inequality that repr

esents the number of hours you will need to work in order to afford the video game. Use xx​ as the variable.
Mathematics
1 answer:
Zielflug [23.3K]2 years ago
3 0

Answer:

14.50x > 85

Step-by-step explanation:

14.50x > 85

divide both sides by 14.5

x>85/14.5 = 5.86 hours

x has to be greater than 5.86 hours

You might be interested in
1<br> Find the value of the variables.<br> b<br> 30°<br> a<br> 12<br> 60°<br> a-<br> b =
Andrew [12]

Answer:

a=6

b=10.39

Step-by-step explanation:

a=sin 30x12 or a=cos60x12

a=6

b=cos 30x12 or b=sin60x12

b=10.39

4 0
3 years ago
If O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6 , find the values of x and y for which LMNO must be a paralle
posledela

Answer:

x=12\\y=\frac{13}{3}


Step-by-step explanation:

For it to be a parallelogram, opposite sides have to be of same length.

  • OL = NM, and
  • ON = LM

Using the expressions given, we can make 2 equations:

<u>Equation 1:</u>

OL=NM\\3y-6=x-5\\-x+3y=1


<u>Equation 2:</u>

ON=LM\\8x-8=7x+4\\


<em>Solving equation 2, we have x:</em>

8x-8=7x+4\\8x-7x=4+8\\x=12

<em>Plugging this value of x into equation 1, we can solve for y:</em>

-x+3y=1\\-(12)+3y=1\\-12+3y=1\\3y=13\\y=\frac{13}{3}

So,

x=12\\y=\frac{13}{3}



7 0
3 years ago
A farmer borrowed $7200 for 3 months at 10% interest. How much interest will the farmer pay on the loan?
zhuklara [117]
He will pay the 10% of $7200, and that is calculated like so:
(10%)(7200)
= (10/100)(7200)
= (1/10)(7200)
= 720
therefore he will pay $720
8 0
3 years ago
Algebra 1
SVETLANKA909090 [29]

Answer:

-3/7

Step-by-step explanation:

slope = (y2-y1)/ (x2-x1) = 4-1/3-10 = 3/-7

8 0
3 years ago
In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know
elena-14-01-66 [18.8K]

Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, \bar{x} = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

H_{0}: \mu = 101.5\\H_A: \mu> 101.5

We use One-tailed(right) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.

P-value can be calculated with the standard normal table.

P-value = 0.0368

P-value is lower than the significance level.

4 0
3 years ago
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