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IgorLugansk [536]
3 years ago
5

Mr. Gold had 4 times more cars than motorcycles in his garage. After he bought 4 more cars and sold 4 motorcycles, there were 8

times more cars than motorcycles. How many cars and motorcycles were there in garage?
Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer: 36 cars and 9 motorcycles


Step-by-step explanation:

  1. It's given that he has x motorcycles to 4x cars
  2. After he bought the cars and sold the motorcycles, he had 4x+4 cars to x-4 motorcycles
  3. Since after this selling/buying, he has 8 times more cars than motorcycles, you can write the equation 4x+4=8(x-4)
  4. Once you solve you get 36 cars and 9 motorcycles
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Micah places a mirror on the ground 24 feet from the base of a tree. He walks
irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground  

And he is 9 feet from the image in the mirror.  

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}

\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}

Hence, the height of the tree is 8 feet

6 0
3 years ago
Each hat cost $9. Each scarf cost $4 less than each hat. What is the total for 7 hats and 9 scarves? Write a number sentence for
Sladkaya [172]
9xh = total cost of the hat 
9 per hat - 4 = $5 each scarf

h = hat 
s = scarf
(9xh) + (5x s)
(9x7) + (5x9) = 108
8 0
3 years ago
Read 2 more answers
Someone please help me
Gre4nikov [31]

Answer:

true

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that is the answers in order, hope that helps!!

6 0
3 years ago
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What is 9.56 in simplest fraction form?
guapka [62]
9/56 is already in its simplest form. You CANNOT make it more reduced than this
4 0
3 years ago
Can someone help me D: thanks in advance :D
max2010maxim [7]

Answer:

3) 27 cubed

4) 72 cubed

5) 125 cubed

8) 27 cubed. 3 is the length, 3 is the width, and 3 is the height.

9) 72 cubed. 6 is the length, 3 is the width, and 4 is the height.

10) 125 cubed. 5 is the length, 5 is the width, and 5 is the height.

Step-by-step explanation

Here's what to show if your teacher requires for you to show your work.

3) 3 x 3 x 3 = 27

4) 6 x 3 x 4 = 72

5) 5 x 5 x 5 = 125

8) 3 x 3 x 3 = 27

9) 6 x 3 x 4 = 72

10) 5 x 5 x 5 = 125

These are the ones I'd suggest putting the up and down form on.

10) and 5) Also put 5 x 5 = 25.          4) and 9) Also put 6 x 3 = 18.

     <em>2                                                        3</em>

     25                                                      18

  <u>x  5 </u>                                                     <u>x 4  </u>

   125                                                      72

Hoped this answered everything! Feel free to ask me if there's something I missed! :)

4 0
2 years ago
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