MATHEMATICS HIGH SCHOOL

What value or values of x satisfy 2|x+5.3|=4.2a. x can only equal –3.2.
b. x can only equal 7.4.
c. x can equal –3.2 or –7.4.
d. x can equal –3.2 or 7.4.

Answers

Answer 1

Answer:

we have

$2\left|x+5.3\right|=4.2$

Step 1

Find the first solution (case positive)

$2(x+5.3)=4.2$

Eliminate the parenthesis left side

$2x+10.6=4.2$

Subtract $10.6$ both sides

$2x=4.2-10.6$

$2x=-6.4$

Divide by $2$ both sides

$x=-3.2$

Step 2

Find the second solution (case negative)

$2[-(x+5.3)]=4.2$

Eliminate the parenthesis left side

$-2x-10.6=4.2$

Adds $10.6$ both sides

$-2x=4.2+10.6$

$-2x=14.8$

Divide by $-2$ both sides

$x=-7.4$

therefore

the answer is the option C

x can equal –3.2 or –7.4

Answer 2

Answer: We have, /x+5.3/ = 2.1;
Then, x + 5.3 = 2.1 or x + 5.3 = -2.1;
x = 2.1 - 5.3; x = -3.2;
x = -2.1-5.3; x = -7.4;
The correct answer is c.

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Cory’s average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?

Answers

The new average will be 89.55%.

What is an average?

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is given that,

Average score after 8 tests = 91%.

Therefore, Total score of 8 tests = Average score*Number of tests

Total score of 8 tests = 91*8

Total score of 8 tests = 728

Now, Cory scored 78% in 9th test,

So, Total score of 9 tests = Total score of 8 tests + 78

Total score of 9 tests = 728 + 78

Total score of 9 tests = 806

Hence, Average score of 9 test = Total score of 9 tests/9

Average score of 9 test = 806/9

⇒ Average score of 9 test = 89.55%

Hence, the new average will be 89.55%.

More about average :

brainly.com/question/15251642

#SPJ6

add all the scores together and the divided by the number of scores there are

8 tests will be 8x91 = 728

Then add on his latest test result 728+78 = 806

Now divide by the number of tests (9) 806/9 = 89.55555555
89.555%

This is hard for me can anyone help me? 9

Answers

Answer: -12.8x-20y+8.4

Step-by-step explanation: I multiplied the numbers in parentheses by 4.

Can 39/121 be simplified and if so what is it??

Answers

Hi there!

Unfortunately, the beautiful fraction you've given us is simplified enough, and it cannot go any lower than what it is. So basically, you're left with $(39)/(121)$

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

9|-k|=14 absolute value

Answers

I hope this helps? And hope you can read cursive.

Evaluate: f(x) = -2x + 6 for x = 10.

Answers

Answer:

Step-by-step explanation:

f(10) = -2(10) + 6 = -20 + 6 = -14

Answer:

f=- $(x)/(5)$ + $(3)/(5)$

Step-by-step explanation:

12
3
A
5/6
1/8
9 0
11 12
13/14
15
16
In the figure, plly and "||s. Match each pair of congruent angles with the reason for their congruency.
corresponding angles for
parallel lines p and q cut by
the transversalr
corresponding angles for
parallel lines r and s cut by
the transversal a
Vertical Angles Theorem
Linear Pair Theorem
25 213
2125
210 214
213 = 216
corresponding angles for
parallel lines p and q cut by
the transversal s