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2 years ago

9

Max decides to use 700 rubber bands to make 8 balls. Is it reasonable to say he would use about 90 rubber bands to make each bal

l? Explain.

1 answer:

topjm [15]2 years ago

7 0

Answer:

he would have used about 87 bands for each ball so if you round to the nearest ten yes it is reasonable to say he used 90 bands per ball

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In 2 hours, 305 cans at a factory can be filled. At that

svet-max [94.6K]

Answer:

The answer is 915

Step-by-step explanation:

Because if you add 305 three times you get the correct answer

hope this helps

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3 years ago

Read 2 more answers

1. A student took 60 minutes to answer a combination of 20 multiple-choice and extended-response questions. She took 2 minutes t

Darina [25.2K]

Answer:

1) m=15 and r =5

2) 4 and 2 ml

3) x= 0.5 and y = -1

Step-by-step explanation:

given that m multiple choice questions and r extended response questions.

Also given that a) m+r = total no of questions =20 ... i and

2m+6r = total time taken = 60 ... ii

b) Divide second equation by 2, m+3r = 30 ... iii

m+r = 20 ... i

Subtract to get 2r =10 or r =5

m = 20-5 = 15

Verify: m+r = 15+5 =20

and 2m+6r = 30+30 = 60 minutes.

Hence verified

--------------------------------------

2) Let a litres of 20% solution and b litres of 50% solution be mixed

a) Then total volume = 6 ml = a+b ... i

Resulting solution = 30% of 6 ml = 1.8 = 0.2a+0.5b ... ii

b) Solve i and ii

b = 6-a: substitute in ii.

0.2a + 3-0.5a = 1.8

Or a = 4 ml and b = 2ml

Verify: Total volume = a+b =6ml and

concentration = 0.2(4)+0.5(2) = 1.8 = 30% of 6 ml.

Thus verified

---------------------------------

3) 2x-3y=4 ...i

2x-5y =6... ii

Because x term has the same coefficient in both the equations, elimination is easier.

i-ii gives 2y =-2 or y =-1

Substitute in i, 2x+3 =4 or x = 0.5

So answer is x = 0.5 and y =1

6 0

3 years ago

Andrew writes the algebraic expression 2s + 2.79 to represent the cost of his lunch. He bought 2 sandwiches and a large drink. I

olga nikolaevna [1]

Variables=S
Coefficients=2
Terms=2, 2.79

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2 years ago

PLEASE HELP! 48 POINTS!<br><br><br><br><br> show your work

kolezko [41]

Answer:

a. 4y =12x the constant of variation is 3

Step-by-step explanation:

The equation for direct variation is y=kx

a. 4y =12x

Divide each side by 4

4y/4 = 12x/4

y = 3x

This is direct variation and the constant is 3

Equations b ,c, d all have a constant added which make them something other than a direct variation

4 0

3 years ago

Read 2 more answers

Solve the system (x-1)²+(y-2)²=2² and y=2x+2.

Likurg_2 [28]

Answer:

(x, y) = (-0.6, 0.8) or (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

(x -1)² +((2x +2) -2)² = 4

x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

(5x² -5x) +(3x -3) = 0

5x(x -1) +3(x -1) = 0

(5x +3)(x -1) = 0

The values of x that make these factors zero are ...

x = -3/5, x = 1

The corresponding values of y are ...

y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

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3 years ago