Answer:
a) 63°
b) 127°
Step-by-step explanation:
Complements are 90° while supplements are 180°.
So you need to find the complement of 27°. So, 90-27=63
To find the supplement, it is 180-53=127
Answer:
the answer is D
Step-by-step explanation:
the graph has a negative correlation
Answer:
x = 13
Step-by-step explanation:
For this problem, we will simply uses properties of addition and multiplication to isolate the x variable for the following equation.
4x - 7 = 45
Now consider the following. First, we must isolate the x term by adding 7 to both sides.
4x - 7 = 45
4x -7 +7 = 45 +7
4x = 52
Second, let's further isolate x by multiplying both sides by 1/4 to create a coefficient of 1 Infront of the x variable.
4x = 52
(1/4) * 4x = 52 * (1/4)
x = 13
Hence, we have solved the equation 4x-7=45 where x=13.
Cheers.
Answer: 20 oranges and 5 mangoes
Step-by-step explanation:
Define the following:
x = number of oranges
y = number of mangoes
Make the following system of equations:
x + y = 25
0.35x + 1.00y = 12.00
Solve for x:
y = 25 - x
⇒ 0.35x + 1.00(25 - x) = 12.00
⇒ 0.35x + 25 - x = 12.00
⇒ -0.65x = -13.00
⇒ x = 20
Solve for y:
20 + y = 25
y = 5
∴ 20 oranges and 5 mangoes were purchased.
40x - 24 - 33x - 77 = 102
40x - 33x = 102 + 24 + 77
7x = 203
x = 29