Answer:
See below ↓
Step-by-step explanation:
14.
- Between two lines m ║ n, the ∦ cuts through them forming two angles
- As it forms a line, the sum of the angles is 180°
- 3x + 47 + x + 7 = 180
- 4x + 54 = 180
- 4x = 126
- x = 126/4 = 63/2 = 31.5
15.
- Alternate exterior angles on a transversal are equal
- 5x = 2x + 78
- 3x = 78
- x = 26
Answer:
x=4
Step-by-step explanation:
4x - 3 = 2x + 5
4x - 2x = 5 + 3
2x = 8
x = 8/2
x = 4
Answer:
16x+36
Step-by-step explanation:
4(4x + 9)
16x+36
The constant in an equation would be the number multiplied to x,
In the equation y - 6.7x, the constant would be 6.7
Answer:
Style A sold 15 pairs while Style B sold 13 pairs
Step-by-step explanation:
Let the number of Style A pairs be A.
Let the number of Style B pairs be B.
The store sold 28 pairs of cross-trainer shoes for a total of $2,220 and Style A sold for $70 per pair while Style B sold for $90 per pair.
This implies 2 things:
A + B = 28 ________________ (1)
and
(70*A) + (90*B) = 2220
=> 70A + 90B = 2220 ________(2)
We now have two simultaneous equations:
A + B = 28 ________________ (1)
70A + 90B = 2220 __________(2)
From (1):
A = 28 - B ________________ (3)
Put (3) in (2):
70(28 - B) + 90B = 2220
1960 - 70B + 90B = 2220
1960 + 20B = 2220
Collecting like terms:
20B = 2220 - 1960
20B = 260
B = 260 / 20
B = 13
Therefore:
A = 28 - 13 = 15
Style A sold 15 pairs while Style B sold 13 pairs.
