Answer:

Step-by-step explanation:
9 = −1 + 4a
+ 1 + 1
_________
![\displaystyle \frac{10}{4} = \frac{4a}{4} \\ \\ 2\frac{1}{2} = a \\ \\ \\ 3[2\frac{1}{2}] + 4[2\frac{1}{2}] + 9 + 5 = 7\frac{1}{2} + 10 + 9 + 5 = 31\frac{1}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B10%7D%7B4%7D%20%3D%20%5Cfrac%7B4a%7D%7B4%7D%20%5C%5C%20%5C%5C%202%5Cfrac%7B1%7D%7B2%7D%20%3D%20a%20%5C%5C%20%5C%5C%20%5C%5C%203%5B2%5Cfrac%7B1%7D%7B2%7D%5D%20%2B%204%5B2%5Cfrac%7B1%7D%7B2%7D%5D%20%2B%209%20%2B%205%20%3D%207%5Cfrac%7B1%7D%7B2%7D%20%2B%2010%20%2B%209%20%2B%205%20%3D%2031%5Cfrac%7B1%7D%7B2%7D)
I am joyous to assist you anytime.
Answer:
x ≤ 30
Step-by-step explanation:
≤ is less than or equal to which means it is less than or is 30 but no greater than 30 hence the "at most"
7.397 will round to 7.40 and 7.388 will round to 7.39
Answer:
4x - 8
Step-by-step explanation:
Let x be the number
- "The product of a number and four" means 4x
- "Eight less than the product of a number and four" means 4x - 8
I hope this helps!
Answer:
8 quarters and 14 dimes
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
•
is an equation representing the total number of coins
•
is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get
. We now substitute this for d in the second equation.
After simplifying, we subtract 2.2 across and divide by the coefficient of q.
We now know of the 22 coins that 8 are quarters. To find the number of dimes, we subtract 8 from 22 to get 14 dimes.