Answer:
x = 3
Step-by-step explanation:
Because the endpoints of the segment with length 12.5 are the midpoints of the sides of the large trapezoid, the length of that segments, 12.5, is the average of the lengths of the top and bottom lengths of the large trapezoid.
(3x + 1 + 15)/2 = 12.5
Multiply both sides by 2.
3x + 16 = 25
3x = 9
x = 3
Answer:
D. y + 4 = 2(x - 3) is your answer.
Step-by-step explanation:
What you have to do first is find the slope.
4 and -4 are y's. -1 and 3 are x's.
-4 - 4 / -1 - 3 = 2.
Your slope is 2.
D. y + 4 = 2(x - 3) is your answer.
Answer:
67
Step-by-step explanation:
Answer:
16.25 mL
Step-by-step explanation:
Since we are mixing from the syrup in the inventory, we can say that the syrup in the inventory must be equal to that in the final solution. Thus, we will use the dilution equation to solve for the Initial volume;
Dilution equation is;
V₁C₁ = V₂C₂
Where;
V₁ is initial volume
C₁ is initial concentration or initial molarity
V₂ is final volume
C₂ is final concentration of final molarity
We are given;
C₁ = 80% = 0.8
C₂ = 60% = 0.6
V₂ = 65 mL
Making V₁ the subject in the dilution equation, we have;
V₁ = (V₂C₂)/C₁
V₁ = (65 × 0.6)/0.8
V₁ = 48.75 mL of inventory syrup
Since we have 48.75 mL of inventory syrup and the dilute solution is 65 ml, then the volume of soda solution required = 65mL - 48.75 mL = 16.25 mL
PEMDAS
3 ( x - 7 ) = 9 ( 4x + 5 )
3x - 21 = 36x + 45
-36
-33x - 21 = 45
+21
-33x = 66
------ ------
-33 -33
x = -2
Your answer should be -2
I hope this helps!
