Answer:
yes
Step-by-step explanation:
she needs 8 cups and 3 quarts is 12 cups
make denomenators the same
we have
x+4 and 3
times the fraction with x+4 in denomenator with the fraction 3/3
times the fraction with 3 in denomenator with the fraction x+4
we get
since common denoms, can add them to get
that is simplified
Answer:
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Step-by-step explanation:
Let x number of $5, y number of $10 and z number of $20
The number of $5 bills exceeds twice the number of $10 bills by 4.
Therefore, x = 2y + 4
The number of $20 bills is 6 fewer than the number of $10 bills.
Therefore, z = y - 6
A wallet contains $460 in $5, $10, and $20 bills.
Therefore,
5x + 10y + 20z = 460
Substitute x and y into equation
5(2y+4) + 10y + 20(y-6) = 460
10y + 20 + 10y + 20y - 120 = 460
40y - 100 = 460
40y = 460 + 100
40y = 560
y = 14
- Put the value of y into x = 2y + 4 and solve for x
x = 2(14) + 4
x = 32
- Put the value of y into z = y - 6 and solve for z
z = 14 - 6
z = 8
Hence, the each type of bills,
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Using shifting concepts, it is found that the correct option is:
- Vertical stretch, horizontal shift left, vertical shift up.
The original function is:
- The original function was multiplied by 2, hence there was a <em>vertical stretch</em> by a factor of 2.
, hence, there was an horizontal shift left.
- 2 was added to the function, hence, there was a <em>vertical shift up.</em>
To learn more about shifting concepts, you can take a look at brainly.com/question/24465194
Answer:
y=6
Step-by-step explanation:
-6y+15=-21
-6y=-21-15 (it becomes negative on this side.)
-6y=-36 (divide both sides by -6.)
y=6
