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soldi70 [24.7K]
3 years ago
13

A 6-pack of Sprite costs $7.70. How much would an 18-pack of Sprite cost if the costs are proportional?

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
8 0

Answer:

6 pack = $7.70

18 pack=$23.10

77julia77 [94]3 years ago
8 0

Answer:

Step-by-step explanation:

d,

7.70 * 3 = 23.10

because 6 goes into 18 ,times.

or 7.70+7.70+7.70 = 23.10 so D

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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
3 years ago
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason’s sample consiste
Ksenya-84 [330]

Both the sample can be used to make inferences about the population.

The correct option is D.

Given

Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000.

Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population.

<h3>Percentage;</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100.

According to the question

Total number of population = 25000

Percent of a sample of Jason = 0.24%

Percent of the sample of Yolanda's = 0.32%

So, the number of the population according to Jason's sample is given by;

=\dfrac{0.24}{100}\times 25000\\\\=0.24 \times 250\\\\=60

The number of the population according to Yolanda's sample is given by;

=\dfrac{0.32}{100}\times 25000\\\\=0.32 \times 250\\\\=80

Hence, Both the sample can be used to make inferences about the population

To know more about the percentage click the link given below.

brainly.com/question/16216214

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2 years ago
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harkovskaia [24]
Its A. x=4

procedure: 3*equation1 - 2*equation2 ⇒ x=4
8 0
4 years ago
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grigory [225]

Answer:

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Step-by-step explanation:

at 9 on both sides to get m alone

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m= 29

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Answer:

Yes

Step-by-step explanation:

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