MATHEMATICS MIDDLE SCHOOL

Solve the equations using the substitution method:
4x -2y =22
2x + 4y = 6

Answers

Answer 1
Answer: we have that
4x -2y =22------> clear variable y
2y=4x-22--------> y=4x/2-22/2---------> y=2x-11-----> equation 1
2x + 4y = 6------> equation 2

substitute equation 1 in equation 2
2x+4*[2x-11]=6-----> 2x+8x-44=6----> 10x=50------> x=5
then 
y=2x-11----> y=2*5-11----> y=-1

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A student thinks the sum of 4.3 and 8.4 is 12.7 because 4+8 is 12 and 3+4 is 7. The student then adds 3.7 and 2.6, then gets 5.13 because 3+2 is 5 and 6+7 is 13. Identify the mistake in the students procedure and explain why the procedure won't always work.

Answers

The mistake the student made in the second procedure is she tried to solve 3.7+2.6 the same way she solved 4.3+8.4, which that way doesn't always work. You have to understand how decimals work when it comes to adding them. The right way to solve 3.7+2.6 and be sure you are accurate is to line the numbers up. Then add the numbers behind the decimal which is 7+6. That equals 13. So you would out your 3 and carry your 1 over to the number in front of the decimal. So 3+2=5, plus the additional one you had to carry. Your final answer would be 6.3

240 is 60% of what number

Answers

60% * x = 240

60/100 * x = 240

6/10 * x = 240

3/5 x = 240 / : 3/5

x = 240 : 3/5

x = 240 * 5/3

x = 80 * 5

x = 400

Answer:

400


Explanation:

Assume that the number we are looking for is x

We know that:

60% of this number is 240


This means that:

60% * x = 240

0.6x = 240

x = (240)/(0.6)

x = 400


Hope this helps :)

What is 7,298,341 rounded to the nearest 10000

Answers

the answer is 7,300,000
tge answer is definitely 7,300,000

The school theater department made $2,142 and the department sold the same number of tickets each night and each ticket cost $7.How many tickets did the theater department sell each night?

Answers

The answer is $306 in math in division

The nut:

306

why lol:

$2,142div$7 = $306

Show how to write 0.1313... as a fraction.

Answers

Answer:

13/99

Step-by-step explanation:

13/99

you can always just put the recurring part over the corresponding amounts of 9

for example the recurring part  is 2 digits so then there would be 2 9's (99)

idk i hope that makes sense
This should help with the question that you asked

M.s. alonso ordered 4,000 markers for her store. Only 1/10 of them arrived. How many markers did she receive?

Answers

M.s. alonso ordered 4,000 markers for her store. Only 1/10 of them arrived

(1)/(10) of markers arrived

Ordered markers = 4000

she received = (1)/(10) of ordered marker

= (1)/(10) * 4000 = (4000)/(10)= 400

So, M.s. alonso received 400 markers.
She received 400 markers. 

To find this:
.1 x 4000 = 400
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