Answer:
1. C = $100 = .25(m)
2. C = $150
3. 800 = m
Step-by-step explanation:
1. C = $100 (flat fee rate) + .25m
2. c = $100 + .25(200 miles)
↓
c = $100 + 50
↓
c = 150
3. 300 = 100 + .25(m)
-100 -100 (subtract on both sides)
--------------------------------
200 = .25(m)
------------------- (divide by .25 to get m by itself)
.25
Therefore being 800 = m
(x,y)
sub points to see if we get true statemtn
(2,12)
x=2 and y=12
12-5=5(2)
7=10
false
no, (2,12) is not a point
(-2,-5)
x=-2
y=-5
-5-5=5(-2)
-10=-10
true
(-2,-5) is a soltuion
(-2,-5) is the only solution given that works
Answer:20.571
Step-by-step explanation:
x:y = 21: 24=7:8
8x=7y
y=8x/7
When x=18
y=8*18/7
y=20.571
Area of the front and back faces = 2 [ (8.1 x 8.1) + (1/2 x 8.1 x 2.1 ] = 148.23 in²
Area of the right and left faces = 2 [ 11.8 x 8.1 ] = 191.16 in²
Area of the top = 2 [4.6 x 11.8] = 108.56 in²
Total Area = 148.23 in² + 191.16 in² + 108.56 in² = 447.95 in²
Answer: Theo will need to paint about 447.95 in².
Answer:
a) 0.383
b) 0.375
Step-by-step explanation:
a) Calculate each z-score.
z = (x − μ) / σ
z₁ = (112 − 118) / 12 = -0.5
z₂ = (124 − 118) / 12 = 0.5
Use a calculator or z-score table to find the probability.
P(-0.5 < Z < 0.5) = 0.6915 − 0.3085 = 0.383
b) 0.383 × 16 ≈ 6. So the expected proportion would be 6/16 = 0.375.
