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Reil [10]
3 years ago
13

The track team needs new uniforms. The students plan to sell plush toy tigers (the school mascot) for $5 each. The students find

three companies online that sell stuffed mascots. Company A sells 12 tigers for $33.24. Company B sells 16 tigers for $44.80. Company C charges $41.10 for 15 tigers. Which company has the best buy?
Mathematics
1 answer:
sasho [114]3 years ago
8 0

Answer:

Company C

Step-by-step explanation:

Company A sells 12 tigers for $33.24.

Cost per tiger = $33.34 / 12

= $2.78

Company B sells 16 tigers for $44.80. Company

Cost per tiger = $44.80 / 16

= $2.8

C charges $41.10 for 15 tigers.

Cost per tiger = $41.10 / 15

= $2.74

The company that has the best buy is company C that charges $2.74 per tiger

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How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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7 0
2 years ago
F(x) = 2x2 + 12x + 1<br> Determine the vertex
Gnom [1K]

Answer:

Step-by-step explanation:

The vertex would be the highest/lowest point so lets factor this first

when we factor we get

2(x^2+6x+8)

2(x+4) (x+2)

Using zero product property we find the 2 x values and x intercepts are

-4 and -2

the middle point of these points is -3

Substitute -3 for x and solve

2(-3+4) (-3+2)

2 * 1 *  -1

2*-1

-2

(-3,-2) is the vertex

5 0
3 years ago
Which is bigger 3/11 or 3/12​
mr_godi [17]

Answer:

3/11

Step-by-step explanation:pls mark me brainliest

7 0
2 years ago
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Find the slope of the line passing through the points (-5,6) and (-5,-5)
Leviafan [203]

Hi there! :) :D

Step-by-step explanation:

SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}

\frac{(-5)-6}{(-5)-(-5)}=\frac{-11}{0}

<u><em>Undefined.</em></u>

<u><em>Therefore, the slope is -11/0</em></u>

<u><em>Final answer is -11/0</em></u>

Hope this helps!

Thanks!

Have a nice day! :)

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HELPPPPPPP 20 c rule
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Answer:

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