Answer:
$20
Step-by-step explanation:
15/3=5 which means that for every guest attending Carla's retirement party it must cost her $5 each.
Therefore if 4 guests come to the party it must mean 4(5) which is 20.
Hence $20
Answer: Stacey now bakes 36 cinnamon bagels.
Step-by-step explanation:
Given: Each morning, Stacey makes 20 cinnamon bagels.
She has increased the number she bakes each morning by 80%.
Number of cinnamon bagels Stacey bake = 20+80% of 20
= 20+ (0.80)x 20 [To remove % , divide number by 100, So 80%=0.08]
= 20+16 [(0.80)x 20=16 ]
= 36
Hence, Stacey now bakes 36 cinnamon bagels.
Answer:
f(g(0)) = 45
Step-by-step explanation:
to evaluate f(g(0)) , evaluate g(0) then substitute the value obtained into f(x)
g(0) = - 3(0) - 3 = 0 - 3 = - 3 , then
f(- 3) = 2(- 3)² - 5(- 3) + 12
= 2(9) + 15 + 12
= 18 + 27
= 45
Looking at the figure, we can see that both triangles are right triangles. Therefore, we can apply pythagorean theorems. A right triangle contains a hypotenuse, which is the longest side. In the figure, that would be sides with length 4 and 12. The equation for this is:
c = √(^2 + b^2) , where c is the hypotenuse and a and b are the other shorter sides
To determine z:
4 = √(z^2 + 3^2)
z = 2.65
To determine x:
12 = √(x^2 + 6^2)
x = 10.39
Answer:
Step-by-step explanation:
7x - 8(2x - 3) + 2 = 8
Expand bracket and Minus 2 on both sides
7x - 16x + 24 = 6
Minus 24 on both sides, and simplify the "x's"
-9x = -18
Divide by -9 on both sides
x = 2