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mario62 [17]
2 years ago
14

Can you find the y variable? ​

Mathematics
1 answer:
ELEN [110]2 years ago
3 0

Answer:

\large\boxed{y=27}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

\dfrac{AD}{DC}=\dfrac{DC}{DB}

We have:

AD=12,\ DC=18,\ DB=y

Substitute:

\dfrac{12}{18}=\dfrac{18}{y}             <em>cross multiply</em>

12y=(18)(18)

12y=324            <em>divide both sides by 12</em>

y=27

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Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is x dollar and cost of one popcorn is y dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50  and  total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)

Multiplying equation (1) by -3 , we will get.....

-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)

Now, adding equation (2) and equation (3) , we will get ............

5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75

Plugging this y=3.75 into equation (1) ......

2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75


6 0
3 years ago
Find the gcf of 200 and 72
Aleks04 [339]

To get the Greates Common Factor (GCF) of 72 and 200 we need to factor each value first and then we choose all the copies of factors and multiply them:

<span><span>72:   22233  </span><span>200:   222  55</span><span>GCF:   222    </span></span>

The Greatest Common Factor (GCF) is:   2 x 2 x 2 = 8

Answer: 8
3 0
3 years ago
Is 2/5 greater than 2/3? ​
liubo4ka [24]

Answer:

no because 2/3 is greater

5 0
2 years ago
Read 2 more answers
In a​ triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle is 80 de
Furkat [3]
1st angle = 2 * 2nd angle
3rd angle = 2nd angle + 80

1st angle = 2x 

2nd angle  = x
3rd angle = 80 + x


2x + x + 80 + x = 180
4x = 100
x = 25

1st angle = 50
2nd angle = 25
3rd angle = 105



3 0
3 years ago
3x+75.00 / 15. What is x? Show how
Anna007 [38]

Answer:  3x+5

Step-by-step explanation:

3x+75/15=

1/15x(45x+75)=

1/15x15(3x+5)=

3x+5

5 0
2 years ago
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