Answer:
48 minutes
Step-by-step explanation:
Given that;
Rosalinda can line the football field in 80 minutes
Reggie can line the football field in 120 minutes
Lets assume that if they work together, they will take T minutes to line the football field
Hence;
Thus in 1 minute, Rosalina can line 1/80 of the field where as Reggie can line 1/120 of the field
![\frac{1}{T} =\frac{1}{120} +\frac{1}{80} \\\\\frac{1}{T} =\frac{2+3}{240}\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BT%7D%20%3D%5Cfrac%7B1%7D%7B120%7D%20%2B%5Cfrac%7B1%7D%7B80%7D%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7BT%7D%20%3D%5Cfrac%7B2%2B3%7D%7B240%7D%5C%5C%5C%5C)
The sum of the two fractions will represent the size of the field that can be lined in 1 minute.
![\frac{1}{T} =\frac{5}{240} \\\\\frac{1}{T} =\frac{1}{48} \\T= 48](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BT%7D%20%3D%5Cfrac%7B5%7D%7B240%7D%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7BT%7D%20%3D%5Cfrac%7B1%7D%7B48%7D%20%5C%5CT%3D%2048)
The reciprocal of the sum of the two fractions will represent the time taken for both Rosalinda and Reggie to line the field.
Answer ; It will take them 48 minutes for them to line the football field
So we need to find the inequality, Simple!
So we only have 5 dollars. That we cannot change.
But the snadwich, however, we can change how much we buy. But this problem is asking us how many we can buy. So that is an x. So far, we have 2.25x.
Then we have to use the inequality sign 'less than or equal to' because we can buy less or equal to 5 dollars.
So the equation is
![2.25x \leq 5](https://tex.z-dn.net/?f=2.25x%20%5Cleq%205)
Then we solve by isolating the x. We divide 2.25 both sides then we get
Step-by-step explanation:
20x = 4x +16
16x = 16
x=1
multiply the 2 into the absolute value bars. check if there are negatives. if there aren't, bars can be removed. solve as normal
Answer:
1. 6
2.
pennies = 9
nickels = 5
quaters = 5
dimes = 10
Step-by-step explanation:
1.
18/3 = 6
as we know that there are 18 scoops, and 3 per icecream, we can divide the two to get the number of ice creams
2.
5n
#n = #q; #q = 2#d, this is a simple ratio, you just plug in the variables to get
5n = 5q = 10d = 15 coins
24 - 15 = 9 pennies
pennies = 9
nickels = 5
quaters = 5
dimes = 10
Answer:
21 yrs old
Step-by-step explanation:
m= michael age
b=Brandon age
m=b+12
m-17=4(b-17)= 4b-68 --»»m = 4b -51
//put b+12 instead m// b+12=4b-51
3b=63 --»»b=21
Brandon age is 21
Michael age is 33