MATHEMATICS MIDDLE SCHOOL

Algebra
5x-2y=1
2x+y=4

Answers

Answer 1
Answer:

Answer:

(1,1)

Step-by-step explanation:

5x-2y=1

2x+y=4

Im gonna use substitution but you could also use elimination

2x+y=4

-2x     -2x

y=-2x+4

replace y in the first equation with the second equation

5x-2(-2x+4)=1

distribute -2

5x+4x-8=1

add

9x-8=1

   +8  +8

9x=9

divide both sides by 9

x=1

then put x in for the equation fo your choice im gonna use the second one

2(1)+y=4

2+y=4

-2    -2

y=1

Hope this helps :))

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34 + 6x = 2 + 4(4x - 7)

Answers

x = 6

distribute the bracket on the right side of the equation and simplify

34 + 6x = 2 + 16x - 28

34 + 6x = 16x - 26 ( subtract 16x from both sides )

34 - 10x = - 26 ( subtract 34 from both sides )

- 10x = - 60 ( divide both sides by - 10 )

x = 6
So basically it's a lot of collecting like terms, but x=6

Paolo pays $244 for 5 identical calculators. About how much does Paolo pay for one calculator?

Answers

About $50 because if you round 244 to 250 (because 250 is easier to dived into 5 and is close to 244). Then you dived 250 into 5 which equals 50.
so you are going to add and it will be 30 for your answer

Please please help 1-5

Answers

Answer:

1. 12 bags for total cost of 119.88

2. Yes. You'll make $180.12 for your labor.

3. Other tools, transportation, weather delay etc.

4. $28.02

5. Yes

Step-by-step explanation:

Begin by finding the area of the field. The field is a rectangle and measures 360 by 160. The area is A = l*w = 360*160 = 57,600 square feet. One bag of fertilizer will cover 5000 square feet. Divide 57,600 by 5000 to find the number of bags needed. You'll need 11.52 bags or rounded 12 bags.

Since each bag costs $9.99, multiply 12 by $9.99 to get the total cost for the fertilizer. The cost is $119.88. If the athletic department pays you $300. You'll make 300 - 119.88 = 180.12 for your labor. This is a good profit.

If you have to purchase another tool for $40, then the cost increases to 159.88. This decreases your profit to 180.12 - 40 = 140.12. Divide your profit 140.12 by the 5 hours you work to find how much you earn per hour. You earn $28.02 per hour.

Yes, I would take the job, since $28.02 is well above minimum wage.

Two pay as you go which company offered the best deal

Answers

Crakberry.com

and

Uswitch.com


I hope that's help !

Simplify 11^3 ÷ 11^3 · 11^3

Answers

Answer:

1,331 or 11^3

Step-by-step explanation:

11^3, 11^3 ÷ 11^3 cancels out so it is 1(11^3)

You and a friend baked 400 cupcakes together. if your friend baked 60% of the cupcakes, how many cupcakes did you bake?

Answers

160 cupcakes

If your friend baked 60% of 400 total, that means that the remaining amount of cupcakes that you baked is 100% – 60% = 40%. So, we must find 40% of 400

To do this, first we must convert 40% into decimal form. We can do this by dividing it by 100:    40 ÷ 100 = 0.4

Then, "of" usually means multiplication. In this case, it does, so to find 40% of 400, we must calculate 0.4 • 400

0.4 • 400 = 160, so you baked 160 cupcakes
Your friend baked 60% so (60/100) x 400 = 240

400 - 240 = 160
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