Answer:
x=14
Step-by-step explanation:
Amount = 3,700 * (1.0475)^9
<span><span>Amount = 3,700 * 1.5184003135
</span>
</span><span>Amount =
</span><span><span><span>5,618.08
</span>
</span>
</span>
f is given as -3
-3 is greater than -4, so use the second equation 3x-5.
replace x with -3 and calculate:
3(-3) - 5 = -9 - 5 = -14
The answer is -14.
Answer: One plain roll is 4 dollars and one shiny roll is 6 dollars.
Step-by-step explanation:
lets start by saying
rolls of plain wrapping paper = x
rolls of shiny wrapping paper = y
Kathryn sold 4 plain rolls and 3 shiny rolls for 34 dollars.
4x+3y=34
Eugene sold 4 plain rolls and 2 shiny rolls for 28 dollars
4x+2y=28
Both equations will look like this.
4x+3y=34
-1(4x+2y)=(28)-1
we can multiply the second equation by -1 to get y alone. (doesn't matter which equation). Once you do that, the positive 4x and the negative 4x cancel out, 3y-2y=1y and 34-28=6. you are left with
1y=6 so one shiny roll is 6 dollars.
now use that price to find the cost of the plain roll.
lets use Kathryn's equation
4x + 3(6)=34
4x + 18= 34
-18 -18
4x=16. Divide by 4 to find cost of one plain roll.
16÷4=4. One plain roll costs 4 dollars.
Lets check. Using Kathryn's equation,
4(4) + 3(6)=34
16+18=34
34=34. We are right.
Answer:
L = 52°
J = 45°
K = 83°
Step-by-step explanation:
J = L - 7
K = 2L - 21
J + K + L = 180°
∴ (L - 7) + (2L - 21) + L = 180
4L - 28 = 180
4L = 208
L = 52°
J = 52 - 7 = 45°
K = 2 x 52 - 21 = 83°
