MATHEMATICS MIDDLE SCHOOL

Use the substitution method to solve. 2x+y=20
-5y=-6x+12
( , )
please help, also give a step by step on how to solve this and ill mark brainliest

Answers

Answer 1

Answer:

Answer:

x = 7, y = 6

Step-by-step explanation:

solve for y for the first equation

2x + y = 20

-2x -2x , eliminate 2x

y = 20-2x

now that we have found y, substitute the y in for the second equation

-5y = -6x + 12

-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5

-100+10x = -6x + 12, we multiplied everything from the parathesis by -5

+100 + 100, eliminate -100

10x = -6x + 112

+6x +6x , eliminate 6x

16x = 112 , solve for x

x = 7

then y = 20 - 2x = 20 - 2*7 = 6

check:

2 * 7 + 6 = 20

20 = 20

-5 * 6 = -6 * 7 + 12

-30 = -42 + 12

-30 = -30

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48 is what percent of 300?And explain the answer for a 6th grader to understand.

Answers

16%. All you do is divide 48 by 300 which would give you 0.16. then to change a decimal to a percentage you move the decimal point to the right of the number twice. then just add the percentage sign

A fence is shown on a blueprint and has a sides of leg the 17cm,18cm,18cm and 19cm.If themail scale on the blueprintis2cm:7cm,what is the total length of the fence?please tell me how did you get it.

Answers

ok so 2cm on the blueprint is actually 7cm in real life
2:7=1:3.5
for every cm on the map, it is 3.5 times that in real life

so total legnths
17 times 3.5+18 times 3.5+18 times 3.5+19 times 3.5=
59.5+63+63+66.5=
252

answer is 252cm

The answer is 252 cm. You divide each number by two and then multiply what ever that is by 7. ( since the ratio is 2:7)

A boy weighs 55 pounds. How much does he weigh in kilograms?

Answers

Final answer:

To convert weights from pounds to kilograms, multiply the weight in pounds by 0.4536. Therefore, a boy who weighs 55 pounds weighs approximately 24.948 kilograms.

Explanation:

To convert the boy's weight from pounds to kilograms, we need to know the conversion factor. 1 pound (lb) is equivalent to approximately 0.4536 kilograms (kg).

Hence, if a boy weighs 55 pounds, his weight in kilograms will be calculated as:

55 pounds * 0.4536 kg/pound = 24.948 kg.

So, the boy weighs approximately 24.948 kg. Note that our final answer is rounded to the third decimal place for precision.

Learn more about Weight conversion here:

brainly.com/question/11429990

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He weight 24.94 kilograms

or 25 kilograms

I hope that's help !

If m varies directly with x 2 , and m = 10 when x = −4, find the value of m when x = 3

Answers

If it is directly proportional, then:

m = kx
10 = k x -4
k = -2.5

m = 3 x -2.5
m= 7.5

Hope I helped!

8 students are painting 2 boards for a project the students want to divide the work equally.How much the board should each student paint?

Answers

ok well if you have 8 students and 2 boards divide the students by 2.
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now, if each student wanted to paint part of a board and there are four students then divide 1 by 4
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4 students can paint one board

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(zoom out to see full pic)