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snow_tiger [21]
3 years ago
15

All 136 students in the Math Club went on a field trip. Some students rode in vans which hold 8

Mathematics
1 answer:
IrinaK [193]3 years ago
5 0
Answer: 3 buses, 2 vans
Explanation: let x be number of buses, y be number of vans,
136= 40x+8y
5=x+y
Use simultaneous equation,
136-8(5)= 40x +8y - 8(x+y)
96= 32x
x = 3
When x=3, y= 2
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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
There are two factors of -36 such that one factor is 11 less than half of the other factor choose all the pairs of these factors
Amanda [17]

Answer with explanation:

Factors of  -36 are

      =\pm 1, \pm 2,\pm 3,\pm 4, \pm 6, \pm 9, \pm 12, \pm 18, \pm 36

It is given that , among the factors of , -36 , one factor is 11 less than half of the other factor.

If you will take,  =\pm 1,\pm 3,\pm 4, \pm 9,, then you can find such pairs.

Pairs are= (3,-4), (9, -1),(-1, -6),

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Answer:

Step-by-step explanation:

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3 years ago
Julie had $20.00 in her pocket. She spent $7.40. About what percent of her money does she still have?
posledela

63%


First, we have to take 20.00 - 7.40 which gets us 12.60.


Then, we use the formula where we put the 12.60 on top of a fraction bar, and the 20.00 on bottom.

We do 12.60 x 100 which makes 1260.


Lastly, we divide that by the 20.00 which gets us 63.


So, Julie has 63% of her money left.


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