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True [87]
3 years ago
13

Solve the system of equations

Mathematics
1 answer:
Rashid [163]3 years ago
7 0
Using substitution:

13(y+6)-6y=22
13y+78-6y=22
7y+78=22
/// -78 -78
7y=-56
÷7 ÷7
y=-8

x=y+6
x=-8+6
x=-2

So, x equals -2 and y equals -8.
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Of the 600 workers at a factory, 8.5% belong to a union. how many workers are in the union?
Mazyrski [523]
51 workers are in the union
3 0
4 years ago
Read 2 more answers
A relative frequency table is made from data in a frequency table. What is the value of g in the relative frequency table? Round
Paraphin [41]

I've attached the image of this question.

Answer:

g = 33%

Step-by-step explanation:

To solve this;

The values in the ends of the rows are found by adding together the two previous cells.

Thus;

For the first row, we would add the value in cell AC to the value in AD to get the value in the corresponding column named "Total".  This means we add 20% +g to get 53%;

Thus;

20% + g = 53%

Subtract 20% from each side to give;

g = 53% - 20%

g = 33%

7 0
3 years ago
A crew of loggers cleared 1/2 acre of lumber in 4 days. How long will it take the same crew to clear 2 3/4 acres of lumber?
krok68 [10]
Set up a proportion of acres to days. 1/2 acre is to 4 days as 2 3/4 acres is to x days.

x= # days to clear 2 3/4 acres
2 3/4 to improper fraction= 11/4

(1/2)/4 = (11/4)/x
cross multiply

(1/2 * x) = (4 * 11/4)
on the right, the 4 "cancels out"

1/2x= 11
divide both sides by 1/2

x= 11 ÷ 1/2
to divide fractions, multiply by reciprocal/inverse of 1/2

x= 11 * 2/1
x= 22 days

ANSWER: It would take 22 days to clear 2 3/4 acres.

Hope this helps! :)
6 0
4 years ago
Read 2 more answers
Round to the nearest 10th
german

Answer:

look below

Step-by-step explanation:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

5 0
3 years ago
Someone help please thank you
mojhsa [17]

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

f(x)=8x-5\text{ and } g(x)=9-2x

And we want to find:

(f\circ g)(x)\text{ and } (g\circ f)(x)

1)

Recall that:

(f\circ g)(x)

is the same as:

=f(g(x))

Thus, we can substitute g(x):

=f(9-2x)

And substitute that into f(x):

f(x)=8x-5\\f(9-2x)=8(9-2x)-5

Distribute:

=72-16x-5

Subtract and simplify:

=67-16x\\=-16x+67

Thus:

(f\circ g)(x)=-16x+67

2)

Similarly:

(g\circ f)(x)=g(f(x))

Substitute f(x):

g(f(x))=g(8x-5)

Substitute:

g(8x-5)=9-2(8x-5)

Distribute:

=9-16x+10

Simplify:

=-16x+19

Therefore:

(g\circ f)(x)=-16x+19

4 0
4 years ago
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