Answer:
y = -4
Step-by-step explanation:
3y - 2(5y - 7) = -9y + 6 (Given)
3y - 10y + 14 = -9y + 6 (Distribute)
-7y + 14 = -9y + 6 (Add like terms)
2y + 14 = 6 (Add 9y on both sides)
2y = -8 (Subtract 14 on both sides)
y = -4 (Divide 2 on both sides)
You can check by substituting the solution for y:
3(-4) - 2(5(-4) - 7) = -9(-4) + 6
-12 - 2(-20 - 7) = 36 + 6
-12 - 2(-27) = 42
-12 + 54 = 42
42 = 42
Answer:
Step-by-step explanation:
2.1 or 2 1/10
Answer:
At the restaurant you only have $30 to spend on dinner.
=> 8% sales tax is applied in your bill.
=> And need to leave a 20% tip.
Now, let’s find out how much will be the most expensive item you can order
Let us solve for the 8% tax first
=> 30 dollars * 8%
=> 30 dollars *.08 = 2.4 dollars
Then let’s solve the 20% tip
=> 30 dollars * .20 = 6 dollars
Solve
=> 2.4 + 6.00 = 8.4 dollars
=> 30 dollars – 8.4 dollars = 21.6 dollars
Thus, you can only spend around 22 dollars to be able not to exceed at your 30 dollars budget.
= 127/60
= 2 7/60
Check out this website called calculator soup and it will give you the answer and show you how to do it mash fractions once you get there and then mash adding and subtracting fractions and you can add or subtract up to ten fractions
Answer:
- 0.25q +0.10d = 4.20
- q = 2d
Step-by-step explanation:
Let q represent the number of quarters, and d represent the number of dimes.
0.25q +0.10d = 4.20 . . . . . the value of the coins
q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.
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<em>Additional comment</em>
Using substitution, the equation simplifies to ...
0.60d = 4.20
d = 7
q = 14
Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.
