Answer:
The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5
Step-by-step explanation:
Let
x ------> the number of pounds of apples
(x-2) -----> the number of pounds of grapes
we know that
Solve for x
so
therefore
The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5
<u>Annotation</u>General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.
One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)
The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)
Plug the d-v-t relationship to the second equationd₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262
Plug the v₁ as (v₂+5) from the first equation2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.Find the velocity of the first car, use the first equationv₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.
Answer


<h2>
Answer:</h2><h2>(i) Total expenses = $ 300</h2><h2>(ii) Net income(savings) = $ 0</h2>
Step-by-step explanation:
Total income earned by Sam = $ 300
(i) Expense calculation,
Clothes expense = 30 % = 30 % (300) = $ 90
Food and snacks expense = 23 % = 23 % (300) = $ 69
Cell phone expense = 14% = 14% (300) = $ 42
Transportation expense = 10% = 10% (300) = $ 30
Gym expense = 10% = $ 30
Movies expense = 8% = 8% (300) = $ 24
Apps expense = 5% = 5% (300) = $ 15
Total expenses = (90 + 69 + 42 + 30 + 30 + 24 + 15) = $ 300
(ii) Sam's net income is the profir earned after his expense.
Net income = 300 - 300 = $ 0
Answer: The answer is 20
Step-by-step explanation: If all interior angles are 162o , polygon has 20 sides.