Answer:
98
Step-by-step explanation:
From the statement of similarity, we can write this proportion.
TV/MV = UV/LV
28/x = 16/56
16x = 28 × 56
x = 7 × 14
x = 98
Answer:
The constant m=-4, and b=33
Step-by-step explanation:
F(x)= MX+b
If f(6)=9 then x=6, m= -4
9= -4(6) + b
9= -24 + b
b= 9 + 24
b= 33
Therefore the constant m, which is the slope is -4 and b which is the intercept is 33
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
You have a 50% chance of getting a blue marble and a 50% chance of getting a yellow marble
Answer:
21
Step-by-step explanation:
Add 34 to both sides.
14x = 11x + 63
Subtract 11x from both sides
3x = 63
Divide both sides by 3
21
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