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pochemuha
3 years ago
11

Solve systems by substitution method x + y = 12 3x - y = 20

Mathematics
1 answer:
labwork [276]3 years ago
3 0

Step-by-step explanation:

x+y=12

3×+y=20

×=12-y

3 (12-y)+y=20

36-3y+y=20

36-4y=20

-4y=20-36

-4y= -16

y =16÷4

y=4

×+y=12

×+4=12

×=12-4

×=8

therefoer;y=4,x=8

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(6 + 7) + 8 = 21
Travka [436]

Answer: 6+(7+8)=21

Step-by-step explanation:

1. By definition, the associative property of addition is:

(a+b)+c=a+(b+c)

This property says that you can group the numbers in different ways and you will obtain the same result.

2. Therefore, if you have the following expression:

(6+7)+8=21

You apply  the Asociative property of addition by regrouping the numbers as following:

6+(7+8)=21

3. Then, you can conclude that the correct option is B.



4 0
2 years ago
Which line has a slope of 1 and a y-intercept of 2?
Vedmedyk [2.9K]

Answer:

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Step-by-step explanation:

3 0
2 years ago
1.3.33 Question Help A certain triangle has a perimeter of 3078 mi. The shortest side measures 71 mi less than the middle side,
maksim [4K]

Answer:

the shortest side is 855 miles long.

Step-by-step explanation:

a + b + c = 3078 miles

a = b - 71

c = b + 371

=>

(b-71) + b + (b+371) = 3078

3b + 300 = 3078

3b = 2778

b = 926 miles

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c = 926 + 371 = 1297 miles

8 0
2 years ago
A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have mea
Burka [1]

Answer:

x = 14.

Step-by-step explanation:

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So 5x = 70

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6 0
3 years ago
Read 2 more answers
Sam's total expenses last month were $1840. What was his total variable cost for last
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Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

\text{Total variable cost}=\$1000+\$200+\$300=\$1500

Therefore, total variable cost for last month is $1500.

5 0
2 years ago
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