The answer is D.
350 multiplied by 6 is equal to 2100
350 * 0.5 (30 minutes) is equal to 175
2100 + 175 = 2275
ΔQTR and ΔSTP are similar triangles. The corresponding sides of similar triangles are the same length.
TR = PT
TS = QT
Input the algebraic expression to make an equation system
PT = TR
y = 2x - 1 <em>(first equation)</em>
TS = QT
6x + 13 = 5y
6x - 5y = -13 <span><em>(second equation)</em>
</span>Using subtitution method, subtitute y with 2x - 1 from first equation into the second equation, to find the value of x
6x - 5y = -13
6x - 5(2x - 1) = 13
6x - 10x + 5 = 13
-4x + 5 = 13
-4x = 13 - 5
-4x = 8
x = 8/-4
x = -2
Find y with subtituting x with -2 in the first equation
y = 2x - 1
y = 2(-2) - 1
y = -4 - 1
y = -5
Answer:
x = -2
y = -5
Answer:
4.8 liters
Step-by-step explanation:
o=orange juice c=cranberry juice
Punch = 4/5o + 1/6c it means that any quantity of punch will have the same proportion of the two ingredients
now, you know that 1 liter can be written as 6/6 liters, so to get those 6/6 you multiply 1/6 by 6
for the proportion to remain valid, you must multiply by 6 also the other ingredient so (4/5)*6 = 24/5 of a liter of orange juice per liter of cranberry juice and 24/5 = 4.8 liters
2x + 7y + 3x - 4y
Collect all the like terms:
2x + 3x = 5x
7y - 4y = 3y
And you end up with 5x + 3y as your final answer :)
Answer:
6 Chickens
Step-by-step explanation:
Let H represent the number of horses and C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:
2C + 4 H = 32 (Eq. 1)
Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:
C + H = 11 (Eq. 2)
From Eq. 2, solve for the number of chickens:
C + H = 11
C = 11 - H (Eq. 3)
Substituting Eq. 3 in Eq. 1, the number of horses can be determined:
2 C + 4 H = 32
2 ( 11 − H ) + 4 H = 32
22 − 2 H + 4 H = 32
2H = 32 − 22
2 H = 10
H = 5 Eq.4
Putting Eq.4 in Eq.1
2C + 4*5 = 32
2C = 32 - 20
2C = 12
C = 12/2
C = 6
