MATHEMATICS MIDDLE SCHOOL

- Students at a school went on a trip. The given equation models the total costof the trip, where x is the number of students who went on the trip.
18x = 900
How many students went on the trip?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

18x=900

divide 900 by 18 and you get x which equals 50

you can check your answer by multiplying 18x50=900

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A 100 LB bag of animal feed is 40% oats. How many pounds of oats must be added to this feed to produce a mixture which is 50% oats?

Answers

10 oats must be added to make it 50% of oats in the animal feed

Find the solution of this system of equations -x-4y=37 -2x-4y=-53

Answers

Answer:

Final answer is x=90, $y=-(127)/(4)$

Step-by-step explanation:

Given equations are:

-x-4y=37 ...(i)

-2x-4y=-53 ...(ii)

multiply (ii) by -1

2x+4y=53 ...(iii)

Add (i) and (iii)

x=90

plug value of x=90 into (i)

-x-4y=37

-90-4y=37

-4y=37+90

-4y=127

$y=-(127)/(4)$

Hence final answer is x=90, $y=-(127)/(4)$

Answer:

X=90, y =-127/4

Step-by-step explanation:

Subtract the second equation from the first and you get X+ 0y= 90. Replace x=90 in either equation and you get y= -127/4.

Given a cylinder with a surface area of 2532 cm (squared) and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.A. 36 cm
B. 282.6 cm
C. 45
D. 10

Answers

Answer:

A. 36.4cm = h

Step-by-step explanation:

A=2πrh+2πr² This is the equation to find the surface area of a cylinder

2532 = 2π(9)h + 2π(9)² Multiply

2532 = 18πh + 2π(81) Multiply

2532 = 56.55h + 162π Multiply

2532 = 56.55h + 508.94

-508.94 - 508.94 Subtract 508.94 from both sides

2023.06 = 56.55h Divide both sides by 56.55

36.4cm = h

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Diagram does not make sence

6 divided by 2/5 in a diagram

Answers

Answer:

I got 15.

Step-by-step explanation:

I used a calculator and 6 / (2/5) = 15

I got 15 too. 6 ÷ (2 ÷ 5) = 15

The inchworm moves 1⁄5 inch per hour. How far will the inchworm have moved after 6 hours?

Answers

The inchworm will move 3 inches in 6 hours. This because half an inch an hour is the same as say 6 hours divide by 1/2 or 2, which is 3 inches.

Final answer:

The inchworm, moving at a speed of 1/5 inch per hour, will move a distance of 1.2 inches after 6 hours, calculated by multiplying its speed by the given time.

Explanation:

This question is about basic multiplication in mathematics. When dealing with a problem like this, the first step is to understand that the distance an object travels is equal to its speed multiplied by the time it travels.

The inchworm in this case moves at a speed of 1/5 inch per hour. Therefore, to find out the total distance it travels over a certain amount of time, we simply multiply this speed by the time. Here the time is given as 6 hours.

So, we get: Distance = (1/5 inch per hour)x(6 hours) = 6/5 inches or 1.2 inches. Therefore, the inchworm will have moved 1.2 inches after 6 hours.