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Artist 52 [7]
2 years ago
12

It takes Kevin 15 minutes to drive 52 miles.

Mathematics
1 answer:
Kaylis [27]2 years ago
5 0

Answer:

C

Step-by-step explanation:

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The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh
postnew [5]

Answer:

  48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

  x/y = 8/9

After the changes in weight, they were equal:

  x+2 = y-4

__

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

  y = x +6 . . . . . . . . . . solve the second equation for y

  x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

  9x = 8(x +6) . . . . . . . multiply by 9(x+6)

  x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0
1 year ago
158÷37 show work need help
denis-greek [22]
Here’s a pic of my work, it shows that the numbers 2,7,0 repeat.

Hope this helps!! :)
8 0
2 years ago
Ten men and ten women are to be put in a row. Find the number of possible rows if Beryl, Carol, and Darryl want to stand next to
enyata [817]

Answer: 6 possibilities.

Carol, Beryl, and Darryl

Carol, Darryl, and Beryl

Darryl, Carol, and Beryl

Darryl, Beryl, and Carol

Beryl, Darryl, and Carol

Beryl, Carol, and Darryl

Hope this helps :)

5 0
2 years ago
The cost to a store for an MP3 player is $60. The selling price is $1.05. A classmate says that the markup is 175% because $105/
Lapatulllka [165]
<span>MP3 player is $60
</span><span>The selling price is $105

</span><span>A classmate says that the markup is 175% because $105/$60=1.75 . Is your classmate correct?

No. IT's not correct

Original price $60
Selling price $105

$105 - $60 = $45

So

45/60 x 100 = 75%

Price is markup 75% from $60 to $105</span>
7 0
3 years ago
Please help me with 8, 9, and 10 thanks! Show work too
Harrizon [31]
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.

8. hypotenuse / (short side) = 25/x = x/9
  x² = 25*9 = 5²×3²
  x = √(5²×3²) = 5*3 = 15

9. (long side) / (short side) = x/7 = 9/x
  x² = 7*9
  x = √(9*7) = 3√7

10. (short side) / (long side) = x/48 = 48/64
  x = 48²/64 = 36
3 0
3 years ago
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