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liraira [26]
2 years ago
11

Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can

she buy?
A)17 bottles
B)20 bottles
C)23 bottles
D)24 bottles
Mathematics
1 answer:
shepuryov [24]2 years ago
5 0
B) 20
$71.00<span>÷$3.55=20</span>
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Given EP = FP and GQ = FQ, what is the perimeter of ΔEFG?
eduard

x is  \frac{2y + 1}{2y - 3}

<u>Explanation:</u>

Given:

EP = FP

GQ = FQ

Since the sides are equal, the ΔFPQ and ΔFEG are similar.

According to the property of similarity:

\frac{FP}{PE} =\frac{FQ}{QG}

On substituting the value:

\frac{2x}{4y+2} = \frac{3x-1}{4y + 4} \\\\2x ( 4y + 4) = (3x-1)(4y+2)\\\\8xy + 8x = 12xy + 6x - 4y - 2\\\\4xy - 6x - 4y - 2 = 0\\\\2xy - 3x - 2y - 1 = 0\\\\2xy - 3x = 2y + 1\\\\x(2y - 3) = 2y +1\\\\x = \frac{2y+1}{2y-3}

Perimeter will be sum of all the sides. If y is known then substitute the value and then find the perimeter.

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2 years ago
The manager at a movie theater collects data on comedy and action movie attendance to
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Answer:42%

Step-by-step explanation:

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A claim is made that expression 1 and expression 2 are equivalent. A student is asked to provide proof that the claim is true.
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Answer:

The answer is B

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2 years ago
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How do you this question? Please help.
dangina [55]
N - Nicholes money
M - Marys money

(1) N + M = 4800 ⇒ N = 4800 - M
(2) N - 800 = M - 2/5M ⇒ N - 800 = 3/5M

subtitute (1) to (2)

4800 - M - 800 = 3/5M
4000 - M = 3/5M
-M - 3/5M = -4000
-8/5M = -4000  |multiply both sides by (-5/8)
M = 2500

subtitute the value of M to (1)

N = 4800 - 2500
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Answer: Mary had at first $2500. (Nichole: $2300).
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2 years ago
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Slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the line. Since we weren't given the y-intercept, one way to solve this problem is substitute the slope for the variable m and then the x and y values from the ordered pair to solve for b.

y = mx + b

y = 3x + b

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Now, we can simplify by computing the multiplication on the right side of the equation.

-4 = 27 + b

Finally, we can find the value for b by subtracting 27 from both sides of the equation to get:

-31 = b

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Therefore, your answer is y = 3x - 31.

Hope this helps!

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