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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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Click on the solution set below until the correct one is displayed.
Snowcat [4.5K]

Answer: Second Option

(Point in Quadrant I)

Step-by-step explanation:

The solution to a system of linear equations is the point where the two lines intersect.

Note that in this case we have two lines with different slope . By definition, if two lines have different slopes and are contained in the same plane, then there will always be an intersection between them at some point in the plane.

Looking at the image, you can see that the lines get closer as x and y increase. Then they will intercept in the first quadrant.

8 0
3 years ago
Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and
trasher [3.6K]

Answer:

XY is 4 units.              

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

BC = 36.4 units

YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}

Putting the given values, we have,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}

Thus, the length of XY is 4 units.

8 0
2 years ago
Match each pair of points to the equation of the line that is parallel to the line passing through the points
julsineya [31]
The answer is(4 -3.5x-15)hope this can help
4 0
3 years ago
Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
sammy [17]

Answer:

<h2>(f.g)x =  {x}^{2}  + 24x + 140</h2>

Step-by-step explanation:

given \\ f(x) = x ^{2}  + 10x + 21 \: and \: g(x) = x + 7

as \: we \: know \: (f.g)x \: is \: same \: as

f(g(x))

so \:

f(x + 7) = ( x + 7) ^{2}  + 10(x + 7) + 21

f(x + 7) =  {x}^{2}  + 14x + 49 + 10x + 70 + 21

f(x + 7) = x^{2}  + 24x + 140

therefore

(f.g)x =  {x}^{2}  + 24x + 140

3 0
3 years ago
ASAP PLZZZ I NEED HELP
son4ous [18]

Answer:

994.5

Step-by-step explanation:

First, you need to figure out how many people are actually attending the event. It says that there are 50% more so we are going to have to add 56% of 150 to 150.

150 x 0.56 = 84

150 + 84 = 234

Now, we have to multiply this by 4.25, because this is the cost of the food per person.

234 x 4.25 = 994.5

3 0
3 years ago
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