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oksano4ka [1.4K]
3 years ago
6

Solve for the variable. Show all work. |2x - 3| = 15

Mathematics
1 answer:
Len [333]3 years ago
5 0
2x -3 = 15

Work:
2x -3 +3 = 15+3

2x = 18

2x/2 = 18/2

x=9
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Solve this linear system 28x + 44y = 964.40 21x + 33y = 723.30
Sladkaya [172]

28x + 44y = 964.40

21x + 33y = 723.30

Let's multiply the first equation by 4 and the second by -4

84x + 176y = 3857.6

-84x - 132y = -2893.2

Add the equations together.

0 + 44y = 964.4

Simplify

44y = 964.4

Divide both sides by 44

y = 964.4/44

Since we have the value of y, let's plug 964.4/44 into y for the first equation.

28x + 44(964.4/44) = 964.40

Simplify the left side

28x + 964.4 = 964.4

Subtract 964.4 from both sides

28x = 0

Divide both sides by 0

x = 0

In conclusion,

y = 964.4/44

x = 0

3 0
3 years ago
Here is a list of numbers: 3.9 , 7 , 3.3 , 1 , 1.4 , 1.7 , 2.1 , 3.3 , 5.2 State the median. Give your answer as a decimal.
Ber [7]
<h3>A median.</h3>

The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.

When there are two middle numbers we average them.

We have:

3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2

Let's sort the numbers from the smallest to the largest

1, 1.4, 1.7, 2.1, <u>3.3</u>, 3.3, 3.9, 5.2, 7

<h2>The median is 3.3</h2>
8 0
1 year ago
Read 2 more answers
1. tan a = cot(a + 10°)
Temka [501]

Answer:

a=40+90n

Step-by-step explanation:

Use a cofunction identity on the right hand side or left hand side...

So \tan(a)=\cot(90-a).

We have the equation:

\tan(a)=\cot(a+10)

Make the above replacement:

\cot(90-a)=\cot(a+10)

Since cotangent has period 180 degrees, we can also write this as:

\cot(90-a+180n)=\cot(a+10)

So solving the following will give us a set of solutions for a:

90-a+180n=a+10

Add a on both sides:

90+180n=2a+10

Subtract 10 on both sides:

80+180n=2a

Divide both sides by 2:

40+90n=a

Symmetric property:

a=40+90n

7 0
2 years ago
(-5q^2 + 6q + 7) - (-q^2 + 4q)
beks73 [17]

Steps to solve:

(-5q^2 + 6q + 7) - (-q^2 + 4q)

~Distribute the left side

-5q^2 + 6q + 7 + q^2 - 4q

~Combine like terms

-4q^2 + 2q + 7

Best of Luck!

5 0
3 years ago
Read 2 more answers
making 10 pounds of Apple Jam requires five pounds of Apple how many pounds of Apple are needed to make eight pounds of apple ja
allochka39001 [22]
10lb. of jam needs 5lb. apple, or 2lb. of jam needs 1lb. apple. 
Now we want 8lb. of jam.
Set up a proportion:
2/1=8/x 
Solve for x by cross-multiplying.
2x=8 
x=4 lb. of apple

5 0
3 years ago
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