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serg [7]
3 years ago
14

Doug has $12 to spend on popcorn and peanuts. The peanuts are $4 each and popcorn is $2 each Write a linear equation that descri

bes the amount of peanuts , , and popcorn yhe can buy if he spends all of his money?
Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0
Popcorn=x
peanuts=y
2x+4y=12
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Which angles are linear pairs? Check all that apply
dangina [55]

Answer:

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

8 0
3 years ago
Use synthetic division and the remainder theorem to find p(a) = 2x3 -x2 + 10x; = a = 1/2
sergey [27]

Answer:

p(1/2) = 5

Step-by-step explanation:

Find the value of p(1/2) if p(x) = 2x^3 -x^2 + 10x

Set up synthetic div.:

1/2   )   2   -1    10   0

                1      0    5

       ------------------------

           2   0    10     5

The remainder is 5, so we conclude that p(x) = 2x^3 -x^2 + 10x = 5 when x = 1/2.

8 0
3 years ago
The sun casts a shadow from a flag pole. The height of the flag pole is three time the lenght of its shadow. The distance betwee
Alex73 [517]

Answer:

The height of the flag pole will be = 18.96 ft.

Step-by-step explanation:

See the attached diagram.

AB is the flag pole and the length of the shadow is AC.

Now, Δ ABC is a right triangle and has AB = 3x ft., BC = 20 ft. and AC = x ft.

So, applying Pythagoras theorem ,

AB² + AC² = BC²

⇒ (3x)² + x² = 20²

⇒ 10x² = 400

⇒ x² = 40

⇒ x = 6.32 ft. (Approx.)

So, the height of the flag pole will be = 3x = 3 × 6.32 = 18.96 ft. (Answer)

6 0
3 years ago
Read 2 more answers
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3 + 5 = 8 
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4 0
3 years ago
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natita [175]
Eliminate y by writing the bottom equation into the top one:

-1/2x - 4 - 3x = 3
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x = -2

y= -1/2 * -2 - 4 = -3
5 0
3 years ago
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