Answer:
$16.80 per hour.
Step-by-step explanation:
So you got 420 dollars earned last week. Jerry worked for 25 hours and if you divide.
You’d find the unit rate which is 420/25 and get 16.8.
$16.80 per hour.
1. 12000(1 - n/5) = 2,400
12000 - 2400n = 2400
- 2400n + 12000 - 12000 = 2400 - 12000
- 2400 = - 9600
n = 4, After 4 years the scanner will be replaced.
2. Let x represents Michael age in years now.
Now 4years later
Michael x x + 4
John x - 17 (x - 17) + 4
x + 4 + x - 17 + 4 = 49
x + 4 + x - 13 = 49
2x - 9 = 49
2x - 9 + 9 = 49 + 9
2x = 58
(1/2)(2x) = (1/2)(58)
x = 29, Michaels age is 29
3. Brady speed 1 Rate(mph) Time(hours) Distance(miles)
17 t 17 t
Brady speed 2 22 4 - t 22(4 - t)total distance
The total distance he rode 17t + 22(4 - t) = 70
The total distance = 70 miles
showing work:
17t + 22(4 - t) = 70
17t + 88 - 22t = 70
- 5t + 88 = 70
- 5t + 88 - 88 = 70 - 88
- 5t = - 18
t = 3.6, Brady rode 17(mph) for 3.6(hrs).
4. t = the price of 1 shirt
4t - 39.58 = 52.22
4t - 39.58 = 52.22 + 39.58
4t + 0 = 91.80
(1/4)(4t) = (1/4)(91.80)
t = 22.95, price of 1 shirt was $22.95
5. Let M represent number of months.
3.5m + 90 = 132
3.5m + 90 - 90 = 132 - 90
3.5m = 42
(1/3.5)(3.5m) = (1/3.5)(42)
m = 12, the boy will grow 132cm tall, 12 months from now
6. Let N represent given number
n + 1/6n + (2 1/2)n + 7 = 12 1/2
n ( 1 + 1/6 + 5/2) + 7 = 12 1/2
n(6/6 + 1/6 + 15/6) + 7 = 12 1/2
n(22/6 + 7 - 7 = 12 1/2
11/3n + 7 - 7 = 12 1/2 - 7
11/3n + 0 = 5 1/2
11/3n = 5 1/2
3/11.11/3 = 3/11.11/2
1n = 3/2
n = 1 1/2, is the number
7. let X represents the first number, then 33 - x represents the other # since their sum is 33
X - (33 - x) = 2
X + ( - (33 - x)) = 2
X + ( -33) + X = 2
2x + (- 33) = 2
2x + (- 33) + 33 = 2 + 33
2x + 0 = 35
1/2 * 2x = 1/2 * 35
1x = 35/2
x = 17 1/2
33 - x = 33 - (17 1/2) = 15 1/2
{17 1/2, 15 1/2}
8. Let T represents number of tokens in machine A. Then 1/2T represents the number of tokens in machine B, and 3/4T represents the number of tokens in machine C.
T + 1/2T + 3/4T = 18,324
9/4T = 18, 324
T = 8, 144
Machine A took 8,144T, Machine B 4,072T, Machine C 6,108T
9. Let Z represents the cost of a pencil in dollars. Then, the cost of a pen in dollars is Z + 0.11
250(Z + Z + 0.11) = 42.5
250(2Z + 0.11) = 42.5
500Z + 27.5 = 42.5
500Z + 27.5 + ( - 27.5) = 42.5 + ( -27.5)
500Z + 0 = 15
500Z = 15
500Z/500 + 15/500
Z = $0.03, a pencil costs, and a pens cost $0.14
10. Let R represents speed in mph of faster car, Then r - 7 represents speed in mph of slow car.
5 1/2(r) + 5 1/2(r - 7) = 599.5
5 1/2(r + r - 7) = 599.5
5 1/2(2r - 7) = 599.5
11/2 (2r - 7) = 599.5
2/11 * 11/2 (2r - 7) = 2/11 * 599.5
1 * (2r - 7) = 1199/11
2r - 7 = 109
2r - 7 + 7 = 109 + 7
2r + 0 = 116
2r = 116
1/2 * 2r = 1/2 * 116
1r = 58
r =58
Faster car average speed is 58mph
Slower car average speed is 51mph
Distance = rate * time
d = 51 * 5 1/2
d = 51 * 11/2
d = 280.5
Slower car travel 280.5 miles in 5 1/2hrs
d = 58 * 5 1/2
d = 58 * 11/2
d = 319 or 599.5 - 280.5 = 319
Faster car travel 319 miles in 5 1/2 hrs
The slower car travels 280.5 miles in 5 1/2hrs. remainder of trips for both vehicle is 38.5 miles, because, 319 - 280.5 = 38.5
distance = rate * time
38.5 = 51 (t)
1/51(38.5) = 1/51(51)(t)
38.5/51 = 1t
77/102 = t, This time is in hours. To convert to minutes, multiply by 60 minutes per hour
77/102 * 60 = 77/51 * 30 = 2310/51 = 45, The slower car will arrive at about 45 minutes after the first car.
Hope this helps!!!
Next time please ask for help in chunks!! Try for yourself.. this is a lot...
Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
Answer:
The length of the trip is 1.5
Step-by-step explanation:
5÷100×30=1.5
Answer:
8.2% of 500 = 41
Step-by-step explanation:
Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. ...
Divide the first digit. ...
Divide the first two digits. ...
Enter the first digit of the quotient.
