MATHEMATICS MIDDLE SCHOOL

1/3x+y=4
explain your answer Please!

Answers

Answer 1

Answer:

Answer:

$y=-(1)/(3) x+ 4$

Step-by-step explanation:

You just have to subtract 1/3x on both sides of the equation to cancel the 1/3x on the left.

Answer 2

Answer: Combine 1/3 and x

Subtract y from both sides x/3 =4-y

Multiple both sides by 3 3• x/3 =3•(4-y)

Simplify both sides
X=12-3y

Reorder
X=-3y+12

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On Monday, 220 students went on a trip to the zoo. All 4 buses were filled and 8 students had to travel in cars. How many students were in each class and what is the algebraic equation to this?
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Hi, I need this question number 50. answered. (Don't mine the little numbers near the graph!) Please and Thank you

Numbers 15-16 triangles, "Identify similar figures and find missing lengths"

Answers

15.
Rectangles A and B are not similar, because 3/2.5 is 1.2, while 5/4.5 is about 1.1. This means that the two rectangles cannot be increased or decreased by any scale factors to equal each other. Rectangles A and C are not similar, because 3/10 is 0.3, while 5/18 is about 2.8. Rectangles B and C, however, are similar, because 2.5/10 is 0.25, and 4.5/18 is 0.25 as well. This means that Rectangle B can be increased using a scale factor of 4 to make it equal to Rectangle C.

16.
Yes. All squares are similar because, by definition, all the sides of a square are the same. This means that there is only one value to consider when finding out whether or not another square is similar to it. All numbers are divisible by another number, even if the quotient is a decimal, meaning that all squares are similar.

Danielle earns a 7.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $750 per week. How much did she earn last week if she sold $4,000 in electronic merchandise? Round to the nearest cent. I look on the answer key and it was 1,076.25. But can somebody explain why or the step?

Answers

Percentage of commission earned by Danielle on everything she sells = 7.25%
Amount of money she earns as the base salary per week = $750
Amount of money for which she sold electronics merchandise in a week = $4000
Then
Amount of commission receiver by her = 4000 * (7.25/100)
   = 40 * 7.25
   = 290
So she earns a commission of $290 by selling electronics merchandise in a week.
Then
Total amount of money earned by Danielle = (750 + 290) dollars
   = 1040 dollars
Then Danielle earned a total of $1040 in last week. The answer that you have given is not correct. Please check the procedure.

Emma conducted an experiment in which she rolled a six-sided, fair number cube 300 times. How many times would you predict she rolled a 6?

Answers

A number cube has six sides. The probability of landing on any of the numbers is equal. The theoretical probability of rolling a 6 is 1/6. I expect a 6 to be rolled (1/6)(300), or 50 of 300 times

50 because there are 6 sides and 300 roles, if its equal of course. ;)!

Find the area of the figure

Answers

cut it up

1 trapezoid on top
2 paralellograms on bottom

area of trapezoid=1/2(b1+b2) times h
trapezoid bases are 17 and 7+7
height=8
area=1/2(17+14) times 8
area=124

area of 2 trapezoids
base=14
height=6
area=base times height
14*6=84
times 2 because we have 2 of them
168

add
124+168=292m^2

A tent has the shape of a triangular prism. The triangular end of the tent has a base that is 8 feet long and a height of 7 feet. The tent is 12 feet long from front to back.What is the volume of the tent?

_____ cubic feet