Answer:
12 bouquets
Step-by-step explanation:
Let there be x number of roses and x number of tulips initially at the store. Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.
If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.
After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:
x - 3y = 30 Equation 1
x - 4y = 18 Equation 2
Subtracting Equation 2 from Equation 1, we get:
x - 3y - (x - 4y) = 30 - 18
x - 3y - x + 4y = 12
y = 12
Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store.
Answer:
Step-by-step explanation:
Collect the like terms!
x-9x+8x+3-3
Now simplify,
-8x+8x+0
0+0
Answer = 0
Answer:
○ -1
Step-by-step explanation:
Looking closely at this piecewise function, when the line on the left-hand side intersects at <em>-</em><em>3</em><em> </em><em>=</em><em> </em><em>y</em><em>,</em><em> </em><em>x</em><em> </em>is -1.
I hope this helps, and as always, I am joyous to assist anyone at any time.
Answer:
Alternate Exterior Angles Theorem
Step-by-step explanation:
By looking, we can see that they are exterior angles. Because 2 parallel lines are cut by a transversal, the angles are congruent.
Answer:
D
Step-by-step explanation:
log₂(x-4) = 4
Undo the log by raising 2 to both sides:
2^(log₂(x-4)) = 2^4
x - 4 = 2^4
x - 4 = 16
x = 20
Answer D.