Answer:
Barney 145 3 Days 310 Miles
Mary 250 5 Days 600 Miles
A) 3 D + 310 M = 145
B) 5 D + 600 M = 250
Multiplying A) by -5/3
A) -5 D - 516.6666M = -241.66666666
B) 5D + 600M = 250
Adding A) and B)
83.3333 M = 8.3333333333
M = .10 per mile
3 D = 114
Daily Rate = 38 dollars per day
Step-by-step explanation:
Let's set up an equation.
so we know the answer is -13.
1/3 of a number (our variable) can be written as 1/3n.
8 less than that would be subtracting 1/3n by 8
so we have -13 = 1/3n - 8.
To solve:
Add 8 to both sides: -5 = 1/3n
Multiply both sides by 3 (to cancel fraction): -15 = n
You can check by plugging -15 into the equation we made.
Answer:
5 folders and 5 pens = yes
6 pens and 6 erasers = yes
1 pen and 4 notebooks = no
3 folders and 7 erasers = no
4 folders and 2 notebooks = yes
Step-by-step explanation:
Max total = $10
(5 folders x 1.29) + (5 pens x 0.70)
6.45 + 3.50 = 9.95
(6 pens x 0.70) + (6 erasers x 0.89)
4.20 + 5.34 = 9.54
(1 pen × 0.70) + (4 notebooks × 2.35)
0.70 + 9.40 = 10.10
(3 folders × 1.29) + (7 erasers × 0.89)
3.98 + 6.23 = 10.21
(4 folders × 1.29) + (2 notebooks × 2.35)
5.16 + 4.70 = 9.86
This can be solved by making an equivalent ratio.
The original ratio is what we know, 15 inches of wire for 90 cents.
In a ratio of inches of wire:cents, this would be 15:90.
Now for the equivalent ratio.
We don't know the number in the inches place but we do know it for the cents place.
Let's use x to represent inches of wire.
x:48 is our new ratio, and we need to find x.
Since x:48 and 15:90 are equivalent, that means the same thing that was done to 90 to get 48 has to be done to 15 to get the value of x, since the same thing must be applied to both sides.
We can find what 90 was divided by (which is what we'll have to divide 15 by) by dividing 90 by 48.
90 / 48 = 1.875
This means 48 • 1.875 = 90 and x • 1.875 = 15.
Since we don't know x though, we can isolate it by dividing both sides by 1.875.
x • 1.875 = 15
x • 1.875 / 1.875 = x
15 / 1.875 = 8
So x is 8.
Answer:
While you can be 15 inches of wire for 90 cents, you can buy 8 inches of wire for 48 cents at the same rate.
1200 as you would round it down to 100 a week so you would do 100x12
