Answer:
Shirt-$19
Cap-$24
Step-by-step explanation:
5s+1c=119
1s+1c=43
1c=43-1s
substitute:
5s+(43-1s)=119
5s+43-1s=119
4s=119-43
4s=76
1s=19
substitute:
1c=43-(19)
1c=24
Answer:
m∠X= 22°
Step-by-step explanation:
In ΔVWX:
m∠V=(7x−1) ∘
m∠W=(4x+16) ∘ ,
m∠X=(3x−17) ∘ . Find M∠X.
Step 1
We find the variable x
The sum of angles in a triangle is 180°
Hence,
ΔVWX = m∠V + m∠W +m∠X
180° = (7x - 1)° + (4x + 16)° + (3x - 17)°
180° = 7x - 1 + 4x + 16 + 3x - 17
180° = 7x + 4x + 3x - 1 + 16 - 17
180° = 14x -2
Collect like terms
180° + 2 = 14x
182° = 14x
x = 182°/14
x = 13°
Step 2
We find m∠X
m∠X = (3x−17) ∘
x = 13
m∠X = (3 × 13 − 17)°
m∠X = (39 − 17)°
m∠X = 22°
Answer:
The pair (0,3) is not a solution to the equation
Step-by-step explanation:
This can be proved by simply replacing the x and y variables in the equation by the x and y values of the pair, and checking if the equation renders a true statement:
By replacing x and y with their values in the pair (0,3), that is x=0 and y=3, in the equation y = 5 - 2x we get:
3 = 5 - 2 (0)
3 = 5 - 0
3 = 5
which is NOT a true statement.
On the other hand, the other two pairs (2,1) and (1,3) render true statements:
1 = 5 - 2 (2)
1 = 5 - 4
1 = 1
and
3 = 5 - 2 (1)
3 = 5 - 2
3 = 3
Answer:
Step-by-step explanation:
<u>Total cost of nuts, including the discount and the tax:</u>
- (0.1 + 0.13 + 0.26)*20*[(100- 30)/100]*[(100 + 5.25)/100] = 7.22 (rounded)
<u>Total cost of bolts, including the discount and the tax:</u>
- (0.45 + 0.52 + 0.63+0.93)*35*[(100- 45)/100]*[(100 + 5.25)/100] = 51.26 (rounded)
<u>Total amount Carl paid:</u>
Correct choice is B
X - 2y= 14
x - 3y= - 11 | * ( -1)
x - 2y = 14
-x + 3y= 11
----------------
/ y= 25
x - 2*25= 14
x - 50 =14
x= 14+50
x=64
