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pentagon [3]
3 years ago
11

Amy mixed together 2.4 gal. of Brand A fruit drink and 5.6 gal. of apple juice. Find the percent of fruit juice in Brand A if th

e mixture contained 82% fruit juice.
A) 70% B) 20%
C) 35% D) 40%
Mathematics
1 answer:
stellarik [79]3 years ago
5 0

Answer:

D

Step-by-step explanation:

The fruit punch has 2.4 gallons but x %

Apple juice has 5.6 gallons but 100 % or 1

The total mixture would then have 8 gallons and 82 %.

2.4+5.6=8

8×0.82 = 6.56

Then you would do 2.4x + 5.6(1) = 6.56

2.4x + 5.6 = 6.56

2.4x = 0.96

0.96/2.4 = 0.4 = 40%

Therefore, Brand A has 40% fruit juice

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Planes X and Y and points C, D, E, and F are shown.
valentinak56 [21]

Answer:

6

Step-by-step explanation:

8 0
3 years ago
To ensure he never eats the whole cake, Bobby only decides to eat half of what’s left for each serving. If 2/3 of the cake are l
siniylev [52]
1st serving: 2/3 * 1/2 = 2/6 or 1/3
2nd serving: 1/3 * 1/2 = 1/6
3rd serving: 1/6 * 1/2 = 1/12
4th serving: 1/12 * 1/2 = 1/24
5th serving: 1/24 * 1/2 = 1/48

1/3 + 1/6 + 1/12 + 1/24 + 1/48 
1/3 * 16/16 = 16/48
1/6 * 8/8 = 8/48
1/12 * 4/4 = 4/48
1/24 * 2/2 = 2/48
1/48 * 1/1 = 1/48

16/48 + 8/48 + 4/48 + 2/48 + 1/48 = 31/48

Bobby ate 31/48 of the cake in total.
4 0
3 years ago
In triangle JKL, tan(b°) = 3/4 and cos(b°) =4/5. If triangle JKL is dilated by a scale factor of 1/2, what is sin(b°)?
zysi [14]

Answer:

\sin (b^\circ)=\dfrac{3}{5}.

Step-by-step explanation:

It is given that,

\tan (b^\circ)=\dfrac{3}{4}

\cos (b^\circ)=\dfrac{4}{5}

If a figure is dilated, then the image is similar to the figure. It means the corresponding angles of figure and image are congruent.  

So, the value of sin(b°) after dilation is equal to the value of sin(b°) before dilation.

We know that,

\dfrac{\sin \theta}{\cos \theta}=\tan \theta

\dfrac{\sin (b^\circ)}{\cos (b^\circ)}=\tan (b^\circ)

\sin (b^\circ)=\tan (b^\circ)\times \cos (b^\circ)

\sin (b^\circ)=\dfrac{3}{4}\times \dfrac{4}{5}

\sin (b^\circ)=\dfrac{3}{5}

Therefore, \sin (b^\circ)=\dfrac{3}{5}.

5 0
4 years ago
The probability of choosing a penny from the 1980s from the bag of pennies without looking is 3/40. Which term best describes th
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Unlikely describes this probability
5 0
3 years ago
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To turn a decimal into a percent, what do you multiply by? 
astra-53 [7]

Answer:

Multiply by 100 to convert a number from decimal to percent then add a percent sign %.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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