Your answer that you ask for will be two
Answer:
3x + 6y = 64.50________equation 1
9x + 8y = 106.00_______equation 2
Price of a bag of popcorn is $3(300 cents) WHILE the price of one drink is $8.75(875 cents)
Step-by-step explanation:
The question here says that Kayden and Carter go to the movie theater and purchase refreshments for their friends.
Kayden spends a total of $64.50 on 3 bags of popcorn and 6 drinks.
Carter spends a total of $106.00 on 9 bags of popcorn and 8 drinks.
Now let's assume that the price of each bag of popcorn is X and the price of one drink as Y
It means that
3x + 6y = 64.50________equation 1
9x + 8y = 106.00_______equation 2
Make "x" the subject of the formula in equation 1
3x = 64.50 - 6y
X = (64.50 - 6y)/3
Apply the above in equation 2 and we have
9[ (64.50 - 6y)/3] + 8y = 106
9(21.5 - 2y) +8y = 106
193.5 - 18y + 8y = 106
193.5 - 10y = 106
Y= (193.5 - 106)/10
Y= $8.75 (price of one drink)
Now substitute Y = 8.75 in equation 1
3x + 6y = 64.50
3x + 6(8.75) = 64.50
3X = 64.50 - 52.5
X = 12/3
X = 3
Answer:
F. 5:4
Step-by-step explanation:
Solve for a and c to find the ratio of a to c:
- 2a = 3b
- a = 3/2(b)
- 6b = 5c
- c = 6/5(b)
Now, we can use the value of a and c to find the ratio of a to c:
- (3/2(b))/(6/5(b))
- 3b/2 × 5/6b
- 15b/12b
- 5/4
F. 5:4 is the correct answer
Answer:
-4u+4
Step-by-step explanation:
Answer:
B - 150 yd
Step-by-step explanation:
Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; <em>a² + b² = c².</em>
In this case, let's label the the missing side A, the height B, and the hypotenuse C.
<em>X² + 15² = 25²</em>
Then you must figure out what 15² and 25².
<em>15² = 225</em>
<em>25² = 625</em>
The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².
<em>625 - 225 = 400. </em>
Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.
<em>√400 = 20.</em>
<u>The missing length of the triangle is 20 yards. </u>
Now it's just a matter of finding the area by using the formula;
<em>A = </em>
Or,
<em>(20 × 15) ÷ 2 = 150.</em>
<u>And there's your answer. Don't forget to add the units.</u>
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<h2>
Hope this helped.</h2>
