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3 years ago

7+5(x−3)=22 can you help, please?

Mathematics

2 answers:

larisa [96]3 years ago

7 0

22-(7+5) = 10
10-3 = 7
X=7

OLga [1]3 years ago

5 0

First, you want to get the parenthesis out of the equation. To do that, you have to distribute the 5 to get 7+5x-15=22.

Next you want to join like terms by saying -8+5x=22

After that, we want to get the plain numbers together so we add 8 to 22 to get 5x=30.

We want to get the x alone so we divide 30 by 5 to get x=6.

Hope this helped!

You might be interested in

find two consecutive even numbers such that the sum of 3 times the smaller and 5 times the larger is 106

VARVARA [1.3K]

To find that you would do (such that x is the unknown) 3x+5(x+2)=106
and if you do this you will find that x=12

so the two numbers you are looking for are 12 and 14

4 0

3 years ago

A soccer team is saving money to buy new uniforms. The total cost for the uniforms is $88.74. There are 9 players on the team, a

Paul [167]

Answer: A

Step-by-step explanation: $88.74÷9=$9.86

$88.74 is the total amount

9 players, and each player has to pay the same amount

we have to divide it evenly in 9 pieces, so we divide $88.74 into 9 groups which then equals $9.86

Hope this helps!

7 0

3 years ago

(Sec. 8.4) In a sample of 165 students at an Australian university that introduced the use of plagiarism-detection software in a

marusya05 [52]

Answer:

$z=\frac{0.667 -0.5}{\sqrt{\frac{0.5(1-0.5)}{165}}}=4.29$

The p value for this case is given by:

$p_v =P(z>4.29)=8.93x10^{-6}$

Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.

Step-by-step explanation:

Information given

n=165 represent the random sample selected

55 represent the students indicated a belief that such software unfairly targets students

X =165-55= 110 represent students who NOT belief that such software unfairly targets students

$\hat p=\frac{110}{165}=0.667$ estimated proportion of students who NOT belief that such software unfairly targets students

$p_o=0.5$ is the value that we want to check

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if the majority of students at the university do not believe that it unfairly targets them, and the system of hypothesis are:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

The statistic for this case is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

After replace we got:

$z=\frac{0.667 -0.5}{\sqrt{\frac{0.5(1-0.5)}{165}}}=4.29$

The p value for this case is given by:

$p_v =P(z>4.29)=8.93x10^{-6}$

Since the p value is lower than the significance level we have enough evidence to conclude that the true proportion is significantly higher than 0.5 at 5% of significance.

7 0

3 years ago

Select all the equations that are true. 24 x − 8 = 8 ( 3 x − 1 ) 24 x − 8 = 8 ( 3 x − 1 ) 6 m − 15 = 3 ( 2 m − 5 ) 6 m − 15 = 3

galina1969 [7]

Answer:

$24x - 8 = 8 ( 3 x - 1 )$