Answer:
Each pencil costs 20 cents
Step-by-step explanation:
2.40 - 1 = 1.40
1.40/7 = 0.2
Answer:
Irrational, because it is non-terminating and non-repeating!
Answer:
102.3
Step-by-step explanation:
a_38 = -5
difference d= -2.9
We use general formula

WE make the formula for a_38 th term
Plug in 38 for n

Now plug in -2.9 for d and -5 for a_38


Now add 107.3 on both sides
102.3 = a_1
option A is correct
Answer:
y = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = 
sin45° =
= 
Multiply both sides by y
y × sin45° = 9, that is
y ×
= 9
Multiply both sides by 
y = 9
Answer:
x + 1
y = 9
Step-by-step explanation:
In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....
y = 7x + 2
(plug in the y value and get the following ….)
-x + 10 = 7x + 2
(now just solve the following equation)
-x + 10 + x = 7x + 2 + x
10 = 8x + 2
10 - 2 = 8x + 2 - 2
8 = 8x
8/8 = 8x/8
1 = x
Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....
y = 7x + 2
y = 7(1) + 2
y = 7 + 2
y = 9