m∠3 = 180 - m∠8 = 180 - 123 = 57
m∠1 = m∠3 = 57°
Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
When an exponent is outside the parenthesis, you multiply them.
13*19=247
“C” 2^247 is the answer.
I hope this helps!
~kaikers
Answer:
The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
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Step-by-step explanation:
Given
Required
Find all zeros of the f(x)
If then:
And is a factor
Divide f(x) by x - 8
Expand the numerator
Rewrite as:
Factorize
Expand
Factorize
Multiply both sides by x - 8
<em>Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)</em>
Answer:
13. B) You pull a green tile from a bag of tiles, return it, and then pull a yellow tile.
14. A) 1/2.
How this helps you! (:
-Hamilton1757