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aleksandr82 [10.1K]
3 years ago
12

If the slope of a line is 1/2 and the y-intercept is 6, what is the x-intercept of the same line?

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

The slope of a line is the ratio of the change in y to the change in x. The slope of the given line is 1/2 = -6/-12. That is, when y changes by -6 to go from 6 to zero, x will change by -12 to go from 0 to -12.

The x-intercept is (-12, 0).

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George and Paul use a metal alloy that is 18.1% copper to make jewelry. How many ounces of an alloy that is 14% copper must be m
ella [17]

Answer:

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

Step-by-step explanation:

Each ounce of the 14% copper contains 0.14 ounce of pure copper.

Each ounce of the 23% copper contains 0.23 ounce of pure copper.

Each ounce of the 18.1% copper contains 0.181 ounce of pure copper.

Use x ounces of the 14% and y ounces of the 23% to make 90 ounces of 18.1% alloy.

x+y  = 90

y = 90-x

0.14x + 0.23y = 0.181·90

0.14x + 0.23(90-x) = 16.29

0.14x + 20.7 - 0.23x = 16.29

-0.09x + 20.7 = 16.29

4.41 = 0.09x

x = 49

y = 90-x = 41

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

7 0
3 years ago
A store had 300 empty shelves. Each shelf could hold 20 cans. What is the total number of cans the shelves could hold?
Debora [2.8K]

Answer:

it can hold 6000 cans

Step-by-step explanation:

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3 0
3 years ago
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To the nearest degree what is the measure of each exterior angle of a regular dodecagon
malfutka [58]

Answer:

30^{\circ}

Step-by-step explanation:

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that a regular dodecagon is a 12 sided regular polygon with each side equal.

We know that measure of each angle of n-sided regular polygon can be found using formula:

\text{Each exterior angle}=\frac{360^{\circ}}{n}

Upon substituting n=12 in above formula, we will get:

\text{Each exterior angle of a regular dodecagon}=\frac{360^{\circ}}{12}

\text{Each exterior angle of a regular dodecagon}=30^{\circ}

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

3 0
3 years ago
A 100-meter sprint is a race using only the straight side of a race track. A 400-meter stick is a race that makes one complete a
Mamont248 [21]

Answer

Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.

Step-by-step explanation:

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5 1
2 years ago
PLEASE HELP WILL MARK BRAINLIEST!
goldenfox [79]

Answer:

Step-by-step explanation:

12000(1+\frac{.12}{4})^{4*45}=2454040.31463\\=2454040

7 0
2 years ago
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