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Alex17521 [72]
3 years ago
9

A store sells a 28oz. Bottle of shampoo for $1.96. It also sells a 22 oz. bottle of shampoo for $1.32. Which bottle is the bette

r deal?
Mathematics
1 answer:
garri49 [273]3 years ago
4 0

Answer:

22 oz. bottle

Step-by-step explanation:

To be able to find which of the bottles of shampoo has a better deal, we first need to find out how much they cost per ounce.

We take the price and divide it to the number of ounces in the bottle.

For the 28oz bottle:

\dfrac{1.96}{28}=$0.07 per ounce.

For the 22oz bottle:

\dfrac{1.32}{22}=$0.06 per ounce.

Now that we have the value for a single ounce from each bottle, we can simply see that we get more from the 22oz bottle than the 28oz bottle.

To explain it further, let's try to find out how much the price will be if the 22oz bottle was a 28oz bottle.

To get the value we need to multiply the price per ounce by 28 to find out if it is a better deal.

0.06 x 28 = $1.68

Even if the 22oz bottle was a 28oz bottle, we would still get a better deal from that brand.

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Solve the inequality. –6 < 2x – 4 < 4
Darya [45]

Answer:

–1 < x < 4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−6<2x−4<4

−6+4<2x−4+4<4+4(Add 4 to all parts)

−2<2x<8

(−2 /2) < (2x /2 )<  (8 /2)

(Divide all parts by 2)

−1<x<4

6 0
3 years ago
Write an equation for a line parallel to y=−4x+5 and passing through the point (4,-21)
Sindrei [870]

Answer:

Y=-4x-5

Step-by-step explanation:

-21=-4(4)+b

-21=-16+b

b=-5

y=-4x-5

3 0
3 years ago
Read 2 more answers
The lines below are perpendicular. If the green line has a slope of 3/4 what is the slope of the red line? Enter your answer as
krek1111 [17]

Answer:

-4/3

Step-by-step explanation:

m1m2=-1

so 3/4*X= -1

3X=-4

x= -4/3

5 0
3 years ago
Which line is the line of reflection?<br><br>A. a<br>B. b<br>C. c<br>D. d
Leto [7]
The line of reflection is b

You can see it much easier if take away all the clutter. Redraw the diagram and take way a d and especially c.

You should be left with only line b and the two triangles. You can see it much easier if you do that. Then just look at the parallel lines of the triangles. They are right across from each other. 
6 0
3 years ago
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Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day. At the same rates two Nissans, four Fords, and thr
Sindrei [870]

Answer:

The rental rate for the Fords is of $12 per day.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a Nissan.

y is the cost of a Ford.

z is the cost of a Chevrolet.

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.

This means that:

3x + 2y + 4z = 106

Two Nissans, four Fords, and three Chevrolets cost $107 per day

This means that:

2x + 4y + 3z = 107

Four Nissans, three Fords, and two Chevrolets cost $102 per day.

This means that:

4x + 3y + 2z = 102

From the first equation:

4z = 106 - 3x - 2y

2z = 53 - 1.5x - y

z = 26.5 - 0.75x - 0.5y

Replacing into the third equation:

4x + 3y + 53 - 1.5x - y = 102

2.5x + 2y = 49

From the second equation:

2x + 4y + 3z = 107

2x = 107 - 4y - 3z

x = 53.5 - 2y - 1.5z

x = 53.5 - 2y - 1.5(26.5 - 0.75x - 0.5y)

x - 1.125x = 53.5 - 2y - 39.75 + 0.75y

-0.125x = 13.75 - 1.25y

0.125x = 1.25y - 13.75

x = \frac{1.25y - 13.75}{0.125}

x = 10y - 110

Find the rental rate for the Fords.

We have to find y, so:

2.5x + 2y = 49

2.5(10y - 110) + 2y = 49

25y - 275 + 2y = 49

27y = 324

y = \frac{324}{27}

y = 12

The rental rate for the Fords is of $12 per day.

3 0
3 years ago
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