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solmaris [256]
3 years ago
11

Trent wants to buy 2 packs of trading cards for 3 dollars each. The trading card packs that Trent normally buys tend to come in

packs of 6, 10, 12, or 15 cards. After selecting 2 packs, Trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. Trent uses this information to write the equations below in order to compare c, the number of cards in each pack.
Mathematics
1 answer:
Monica [59]3 years ago
6 0
43 I think because you add 6 and 10 and 12 and 15 you will get 43

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Point G is the centroid of triangle ABC. AG = (5x+4) units and GF= (3x-1) units. What is A F?
Vika [28.1K]
<span>Because G is the centroid of the triangle, therefore AG = 2GF
That is, 5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
A.F = AG + GF = 34 + 17 = 51
Answer: 51</span>
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Y_Kistochka [10]
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Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally in
otez555 [7]

The amount of blue paint in each container is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Further explanation:

The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint is calculated as,

{3} \times {1.24}=3.72 \text { liters}

Therefore, the total amount of paint mixture is the sum of blue paint and red paint.

\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is \dfrac{3}{4}.  

Now, as it is known that the fraction of blue paint to the total paint is \dfrac{3}{4} and the amount of paint in a container is 0.992 \text{ liters} then the blue paint in one container is calculated as,

\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}

Thus, the amount of blue paint in each of the five containers is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Learn more:  

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

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Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

3 0
3 years ago
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What is the question
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