Answer:
A = B + 52
Step-by-step explanation:
A is the total amount each week. 52 is the initial amount that she earns each week. Then, B represents the amount of books she sells. So, 15 books can be represented by
A = 15 + 52 = 67
Answer:
x=12
Isosceles triangle
Step-by-step explanation:
The lines on the sides means that the two sides are equal. Two equal sides means that it is an isosceles triangle. The angles at the base must be equal
35 = x+12
Subtract 12 from each side
35-12 = x+12-12
23 = x
The answer is no solution
Answer:
1350m
Step-by-step explanation:
Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.
From the given information,
D= ⅔(E +F) -----(1)
E= ½(D +F) -----(2)
Let's get rid of the fraction so the equations are much easier to work with.
From (1):
3D= 2(E +F) <em>(Multiply both sides by 3)</em>
3D= 2E +2F -----(3) <em>(</em><em>Expand</em><em>)</em>
From (2):
2E= D +F -----(4)
Substitute (4) into (3):
3D= D +F +2F
3D -D= 3F
2D= 3F
Given that Farah ran 360m, F= 360.
2D= 3(360)
2D= 1080
D= 1080 ÷2
D= 540
2E= D +F
2E= 540 +360
2E= 900
E= 900 ÷2
E= 450
Total distance the 3 girls ran
= D +F +E
= 540 +360 +450
= 1350m
Alternatively, you could start by substituting F= 360 to equations (1) and (2).
