Answer:
Step-by-step explanation:
Speed - s, Distance - d, Time - t
Equation of time is:
Given,
Total time is the sum of time values to and from the town:
It is given that,
→ s1= 32 miles/h
→ s2 = 38 miles/h
Now t1 + t2 is,
→ 42 min
→ 42/60 hours
→ 7/10 hours
The formula we use,
→ Time = Distance/Speed
→ t = d/s
Then the total time is the,
Sum of time values to and from the town.
→ d/32 + d/38 = 7/10
→ d/16 + d/19 = 7/5
→ d{(1/16) + (1/19)} = 7/5
→ d(16 + 19) = (7/5) × (16 × 19)
→ 35d = 425.6
→ d = 425.6/35
→ d = 12.16
Hence, the distance is 12.16 miles.
Answer:
12 pieces
Step-by-step explanation:
80 pieces of candy
1/4 is 25% or 20 pieces of candy
10% would be 8 pieces of candy
subtract the two. Your answer is 12
Answer:
He had 14 more pieces
Step-by-step explanation:
So 80/4 is 20 pieces. So we know John has 20. Now she has 60 left since 80-20 is 60. Now 10 percent of 60 would be 6 pieces. We can subtract 6 from 20 to find out how many more pieces John had. 20-6 is 14. So John had 14 more than Lisa
Answer:
Probability of getting sum less than
10 = \frac{30}{36}= \frac{5}{6}
Probability of getting a multiple of 3= \frac{20}{36}= \frac{5}{9}
(A) P(B|A)= \frac{P(B∩A)}{P(A)} = \frac{15/36}{30/36}= \frac{15}{30}=0.5
(B)P(A|B)= \frac{P(A∩B)}{P(B)}= \frac{15/36}{5/9}=0.75
(C) {A∩B} = {3, 6, 9, 12, 15, 18}
(D) {A} = {1, 2, 3, 4, 5 ,6, 7, 8, 9}
-Hope this helps-
Please answer
Answer:
True
Step-by-step explanation:
Substitute for T and evaluate:
10 -3 ≥ 2
7 ≥ 2 . . . . . . . true; T=10 is a member of the solution set
#2 If the m<4 is 110 degrees, what is m<1 ? (Give number value only.) *
#3 If e || f and a || b, what is the value of y. *
A) 87
B) 88
C) 91
D) 92
Answer:
1. y = 80°
2. m<1 = 70°
3. y = 92°
Step-by-step explanation:
1. Since lines c and b are parallel lines cut across by transversal a, therefore:
y = 80° (alternate exterior angles are congruent)
2. m<1 is the supplement of m<4, because the angle that forms a linear pair with <1, corresponds with <4.
Therefore: m<1 = 180° - 110° = 70°
3. First, find the value of x.
(x + 1)° + (x - 3)° = 180° (supplementary)
x + 1 + x - 3 = 180°
2x - 2 = 180°
2x = 180 + 2 (addition property of equality)
2x = 182
x = 182/2 (division property of equality)
x = 91
(x + 1)° = y° (alternate interior angles are congruent)
Substitute x = 91
91 + 1 = y
92° = y
Answer:
26 degrees
Step-by-step explanation:
2 angles must equal to 180 of they share the same side/line so,
180-154=26