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).
Answer:
1/8 of the original sum still remains.
Step-by-step explanation:
If you spend 3/4 of what you have, you have 1/4 left.
Now you spend 1/2 of that 1/4, so basically divide 1/4 by 2. When dividing fractions you can multiply the fraction by the reciprocal of the other fraction.
÷ 
= * 
= 1/8
So I think 1/8 of the original sum still remains.
Hope this helped, please mark brainliest if possible. Have a nice day.
Answer:
<u>44 cows and 36 ducks.</u>
Step-by-step explanation:
x is ducks and y is cows.
Assuming both have 1 head each, we can write:
x + y = 80.
Let's assume each x(cow) has 4 legs and each y(duck) has two legs.
Then we can add the numbers of legs:
2x + 4y = 248 legs
Now rearrange x + y = 80 to:
x = 80-y
and substitute:
2x + 4y = 248 legs
2(80-y) + 4y = 248 legs
160 - 2y + 4y = 248 legs
2y = 88 legs
<u>y = 44 [There are 44 cows]</u>
Use this value to find the number of ducks:
x + y = 80
44 + y = 80
<u>y = 36 [There are 36 ducks]</u>
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Check:
Do 44 cows and 36 ducks have a total of 248 legs?
4*44 + 2*36 = 248 ?
176 + 72 = 248?
<u>YES</u>
Answer:
42 inches cubed
Step-by-step explanation:
The volume of a rectangular prism is base times height.
In this case the base is 14 and the height is 3
(14)(3)=42
Answer: yards = 7.5. FeeT =21.75 inches=261
Step-by-step explanation:
