Answer:
At 53 mph, he traveled for 1.5 hours
At 58 mph, he traveled for 2 hours
Step-by-step explanation:
Mathematically;
distance = speed * time
let the time for the first part of the trip be x hours and the second part be y hours
Total hours is 3.5
So therefore;
x + y = 3.5 ••••••••(i)
Now let’s work with the rate
53 mph for x hours = 53 * x = 53x miles
58 mph for y hours = 58 * y = 58y miles
Adding both;
53x + 58y = 195.5 miles ••••••••(ii)
We have two equations to solve simultaneously
From i, x = 3.5 - y
insert into ii
53(3.5-y) + 58y = 195.5
185.5 - 53y + 58y = 195.5
5y = 195.5-185.5
5y = 10
y = 10/5
y = 2 hours
x = 3.5 - y
x = 3.5 - 2
x = 1.5 hours
Let, number of sold Pizza = x
Number of sold sub-sandwiches = x+13
So, equation would be: 6x + 4(x+13) = 262
6x + 4x+52 = 262
10x = 210
x = 210/10
x = 21 (Number of Pizza)
z+13 = 34 (Number of Sub-sandwiches)
Hope this helps!
Answer: 0.074
Step-by-step explanation:
Given : The total number of U.S. adults in the sample = 800
The number of U.S. adults dine out at a restaurant more than once a week = 216
The probability for an adult dine out more than once per week :-
If another person is selected without replacement ,then
Total adults left = 799
Total adults left who dine out at a restaurant more than once a week = 217
The probability for the second person dine out more than once per week :-
Now, the probability that both adults dine out more than once per week :-
No matter what the indices are just follow the law of indices for division:
xᵃ ÷ xᵇ = xᵃ - ᵇ. Most importantly the base x must be the same.
c² ÷ c³ = c² -³ = c^(-1) = 1/c
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Answer:
2:5
Step-by-step explanation:
8:20 divided by 4 on bothe sides would equal 2:5
