Answer:
Step-by-step explanation:
let the speed of one plane=x
speed of other plane=x+80
time=4 hrs
then 4x+4(x+80)=3800
4x+4x+320=3800
8x=3800-320
or 8x=3480
x=435
speed of one plane=435 m/h
speed of other plane=435+80=515 m/h
2.
Let he walks x hrs
then he take a taxi for 2-x hrs
4x+(2-x)50=31
4x+100-50x=31
-46x=-69

so he walks 3/2 hrs=1.5 hrs
travels by taxi=2-1.5=0.5 hrs
distance traveled by taxi=0.5×50=25 miles
Answer:
The diner served 45 regular sodas
Step-by-step explanation:
90% of 50 is 45 so the answer is 45
Answer:
20 grams
Step-by-step explanation:
Let x be the total allowance of fat
16 grams is 80% of his total allowance
x * 80% = 16
Change percent to a decimal
x *.8 = 16
Divide each side by .9
.8x/.8 = 16/.8
x = 20
Answer: 175
Step-by-step explanation: total = x + 5y dollars and dollars = 300 so
x + 5y = 300 then since we know y = 200 we can substitute that
x + 5(200) = 300 then subtract x from 200
x + 5(200 - x) = 300 now solve for x
x + 5(200) + 5(-x) = 300 we know 5 times 200 is 1000
x + 1000 - 5x = 300 then subtract 5x - x = -4x
-4x + 1000 = 300 switch around 1000 and 300
-4x = 300 - 1000 subtract 300 - 1000 = -700
-4x = -700 multiply
x = -700/(-4) then finish up and solve
x = 175
hope this helps please mark brainliest if you can
Answer:
Check Explanation.
Step-by-step explanation:
The sample will be a representative of the entire build us in the city.
For a sample size 35, 3 have fire code violations, hence, the proportion of houses with fire code violations = (3/35) = 0.0857 = 8.57 %
The uncertainty in the estimate is given in the form of standard error.
Standard error = √[(p(1-p)/n]
n = sample size = 35, p = 0.0857, 1 - p = 0.9143
Standard error of the sample = √(0.0857×0.9143/35) = 0.1616
In terms of the population, (0.1616/35) = 0.00462
Proportion of buildings with fire code violations = (8.57 ± 0.462) %