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grin007 [14]
3 years ago
13

Jenna can paint the shed in 2 hours. Juan can paint it in 1.5 hours. • Jenna says is they work together the job will take 1/2+1/

1.5=1^1/2 hours. • Juan says if they work together the job will take 2+1.5/2=1^3/4 hours. Determine if either Jenna or Juan is correct. Explain your reasoning with numbers and words.
Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
8 0

Answer:

There is a formula for this:

[Worker 1 Time * Worker 2 Time] / [Worker 1 Time + Worker 2 Time]

[2 * 1.5] / [2 + 1.5] = 3.0 / 3.5

= 0.8571428571 Hours =

51.43 minutes

Both Jenna and Juan are INCORRECT.

Step-by-step explanation:

Nostrana [21]3 years ago
7 0

Answer:

Step-by-step explanation:

1 job / 2 hours + 1 job / 1.5 hours = 1 job / x  When they work together.

1/2 + 1/1.5 = 1/x                Basic Equation. Change to decimal form

0.5 + 0.6666 = 1/x          Add like terms on the left

1.1666666 = 1/x              Multiply by x on both sides.

1.1666667 x = 1               Divide by 1.16666667

x = 1 / 1.166667               Do the division.

x = 0.8571428              

x = 6/7 of an hour.

This kind of question will <em>always</em> produce an answer that is less than the smallest number.

So the answer must be smaller than 2 hours or 1.5 hours.

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Molly had a $12 gift card to download music. She bought 8 songs that each cost the same amount. Write a variable equation, then
inn [45]

Answer:

1.Equation ----- 8x=12

2. x=1.5

3. cost of a single song is $1.5

4.$12 gift card will download 8 songs

Step-by-step explanation:

The amount of money the gift card holds is $12

Number of songs bought= 8 songs

Let the cost of a single song to be =$x

The cost of 8 songs will be =$x × 8=$ 8x

So the 8 songs will all cost $12

This means; $ 8x = $12

Equation------ 8x=12

Finding cost of a single song

8x=12------------------divide by 8 both sides

x=12/8------------------simplify

x=3/2 = $ 1.5

Checking for solution

if a single song costs $1.5 , who many songs can a gift card with $12 download?

Here we divide $12 by $1.5 = $12/$1.5= 8 songs------------correct number of songs as mentioned in the question.

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3 years ago
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3 years ago
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MAXImum [283]
1. 0.25. This is because if you have -18.75 and then you add 20 to it you would be left with 0.25.
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2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou
jenyasd209 [6]

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

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subtracting,

60 y = 450

y = 7.5

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3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

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