MATHEMATICS MIDDLE SCHOOL

Steven has 14 steel balls of equal weight. If he puts 9 of them in one pan of a pan balance and the rest along with a weight of 20 grams in the other pan, the pans balance each other. What is the weight of one steel ball? A) 5 grams B) 14 grams C) 20 grams D) 0.65 grams

Answers

Answer 1
Answer:

Answer:

Option A - 5 grams

Step-by-step explanation:

9 balls in one side

= 5 balls other side with 20 gram

5 + 4 balls one side

= 5 + 20 grams other side

5 + 4 balls

= 5 balls + 20/4

5 gm of I ball weight 9 * 5 = 45

5 * 5 + 20

= 45
Answer 2
Answer:

Answer:

b = 5 grams

Step-by-step explanation:

Let b represent the weight of one ball.

Then 9b = 20 grams + 5b.

Solving for b, subtract 5b from both sides, obtaining 4b = 20 grams.

Then b = the weight of one steel ball = 5 grams.

Check:  Does 9(5 grams) = 20 grams + 5(5 grams)?

              Does 45 grams = 45 grams?  YES

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Which one is bigger 4m or 400dm

Answers

1 m = 10 dm
4 m = 40 dm
40 dm < 400 dm

Answer: 400 dm is bigger.
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Solve the system of equations below.
(x+y=21
2x = 33+ y

Answers

Answer:

(18, 3 )

Step-by-step explanation:

Given the 2 equations

x + y = 21 → (1)

2x = 33 + y → (2)

Rearrange (2) expressing y in terms of x by subtracting 33 from both sides

y = 2x - 33 → (3)

Substitute y = 2x - 33 into (1)

x + 2x - 33 = 21, that is

3x - 33 = 21 ( add 33 to both sides )

3x = 54 ( divide both sides by 3 )

x = 18

Substitute x = 18 into (3) for corresponding value of y

y = (2 × 18) - 33 = 36 - 33 = 3

Solution is (18, 3 )

Answer:

Step-by-step explanation:

x+y = 21 —> (A)

2x = 33 + y — (B)

Form eq B

2x = 33 + y

Or y = 2x - 33

By putting the value of y in equation A

x + 2x -33 = 21

3x = 21 + 33

3x = 54

x = 54/3

x = 18

Now,

y = 2 (18) -33

= 36 - 33

= 3

Thus, s.s ={( 18,3)}

What is a factor of 18 and 30 ?

Answers

1, 2, 3, 6, 18 and 30 :)
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Answers

The answer is 12/32 because its both an even number and my 2nd grade teacher said even numbers are equivalent,
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Two students participated in a fund-raiser. Each sold a combination of pencils and notebooks. The first student sold 2 pencils and 8 notebooks for a total of $17. The second student sold 10 pencils and 3 notebooks for a total of $11. Find the price of each item.Write a system of equations (two equations), and define the variables also.
x=
y=
1)
2)
9 POINTS! Please help!

Answers

2x + 8y = 17
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This year, 40 students tried out for the softball team. Last year, 8 fewer students tried out. What is the percent increase in the number of students who tried out for the softball team?

Answers

The answer is 32% because 40-8=32 or the answer is 8% more

Answer:

The right answer is 25% because

Step-by-step explanation:

1.   40 - 8 = 32

2.  40 - 32 = 8

3.   8 / 32 = 0.25

4.   0.25 x 100 = 25

5.   25 = 25%
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