Answer:
![\boxed{\sf 27 \ and \ 29}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%2027%20%5C%20and%20%5C%2029%7D)
Step-by-step explanation:
Let the first consecutive odd integer be
.
Let the second consecutive odd integer be
.
The sum of the two numbers is 56.
![\sf x+x+2=56](https://tex.z-dn.net/?f=%5Csf%20x%2Bx%2B2%3D56)
![\sf 2x+2=56](https://tex.z-dn.net/?f=%5Csf%202x%2B2%3D56)
![\sf 2x=54](https://tex.z-dn.net/?f=%5Csf%202x%3D54)
![\sf x=27](https://tex.z-dn.net/?f=%5Csf%20x%3D27)
Put x as 27 for the second consecutive odd integer.
![\sf 27+2=29](https://tex.z-dn.net/?f=%5Csf%2027%2B2%3D29)
The two numbers are 27 and 29.
Answer: there are 70 dimes and 40 quarters.
Step-by-step explanation:
A dime is 10 cents
A nickel is 5 cents
A quarter is 25 cents
Let x represent the number of dimes at the bottom.
Let y represent the number of quarters at the bottom.
The city park employee collected 1,850 cents in nickels, dimes, and quarters at the bottom of a wishing well. If there were 30 nickels, it means that
10x + 25y + 30 × 5 = 1850
10x + 25y = 1850 - 150
10x + 25y = 1700- - - - - - - - -1
There is a combined total of 110 dimes and quarters. It means that
x + y = 110
Substituting x = 110 - y into equation 1, it becomes
10(110 - y) + 25y = 1700
1100 - 10y + 25y = 1700
1100 + 15y = 1700
15y = 1700 - 1100
15y = 600
y = 600/15
y = 40
x = 110 - y = 110 - 40
x = 70
Alright, lets get started.
Jen picked three fourth in half an hour.
Half an hour means 30 minutes.
At the same rate, how many she can pick in 2 hours.
2 hours means
minutes
Now,
In 30minutes, Jen can pick = ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
In 1 minute, Jen can pick = ![\frac{3}{4} *\frac{1}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A%5Cfrac%7B1%7D%7B30%7D)
In 120 minutes, Jen can pick = ![\frac{3}{4} *\frac{1}{30} * 120 = 3](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A%5Cfrac%7B1%7D%7B30%7D%20%2A%20120%20%3D%203)
Hence Jen can pick complete 3 in 2 hours of time.
So the answer is 3 : Answer
Hope it will help :)
Answer
x = 44
Step-by-step explanation:
![\frac{x}{4} -3=8\\\frac{x}{4}-3+3=8+3\\\frac{x}{4}=11\\\frac{x}{4} *4=11*4\\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%20-3%3D8%5C%5C%5Cfrac%7Bx%7D%7B4%7D-3%2B3%3D8%2B3%5C%5C%5Cfrac%7Bx%7D%7B4%7D%3D11%5C%5C%5Cfrac%7Bx%7D%7B4%7D%20%2A4%3D11%2A4%5C%5C)
x=44
hope it's helpful
THANK YOU.