A 12 oz bottle of shampoo last 16 weeks. How long would you expect an 18 oz bottle to last

1 answer:

3 0

If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.

Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:

12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24

It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)

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Find m<1 A: 69 B: 71 C: 86 D: 111

Studentka2010 [4]

The correct answer is: [A]: "69° " .
______________________________________________________
m∠1 = 69° .
______________________________________________________
Explanation:
_____________________________________________________

180 - (39 + 30) = 180 - 69 = 111. This is the measurement of the third angle in the triangle. Note that all angles in a triangle add up to 180° . All triangles have 3 (three) sides and 3 (three) angles.

To find m∠1 :
_____________________________________________________
The only single angle that exists that is supplementary to ∠1 is 69.

So: m∠1 = 180 - 111 = 69 . (Note: since all angles on a straight line are supplementary angles; and supplementary angles add up to 180° .
_______________________________________________________
The answer is: 69° .

m∠1 = 69° .
_______________________________________________________

8 0

4 years ago

Please help me with this (i attached photos to cause less confusion) Thanks :) 25 Points!!!

navik [9.2K]

Answer:

See below

Step-by-step explanation:

The first two questions are slope = 0

a horizontal line has zero slope

slope = rise/run = 0 / run = 0

Greatest y value is + 4 from x = 3 to 4

the least y value is -3 fro x = -4 to -3

4 0

2 years ago

Read 2 more answers

Are any of these equivalent to 3/8 ? 2/7 8/3 9/24 5/18

Ad libitum [116K]

Answer:

9/24 is

Step-by-step explanation:

Yup

-BaconSoup the scientist LOL

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3 years ago

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Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all

Evgesh-ka [11]

Answer:

y = 3x + 5

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of points A and B into the formula and simplify:

$m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3$

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.

3) Using slope-intercept format, represented by the equation $y = mx + b$ , write the equation of the line. Remember that the number in place of $m$ , or the coefficient of the x-term, is the slope. So, substitute 3 for $m$ . Also, remember that $b$ represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer: