C= chair cost
t= table cost
Create two equations with the given information. Solve for one variable in equation one. Substitute that answer in equation two. Then you can solve for the needed information.
3c+2t=$18
5c+6t=$48
3c+2t=18
Subtract 2c from both sides
3c=18-2t
Divide both sides by 3
c=(18-2t)/3
Substitute the value for c in equation two:
5c+6t=$48
5((18-2t)/3)+6t=48
(90-10t)/3+6t=48
Multiply everything by 3 to eliminate fraction
(3)((90-10t)/3)+(3)(6t)=(3)(48)
90-10t+18t=144
90+8t=144
Subtract 90 from both sides
8t=54
Divide both sides by 8
t=$6.75 cost for table
Substitute the t value to solve for c:
3c+2t=18
3c+2(6.75)=18
3c+13.50=18
3c=4.50
c=$1.50 chair cost
Check:
5c+6t=$48
5(1.50)+6(6.75)=48
7.50+40.50=48
48=48
Hope this helps! :) If it does, please mark as brainliest.
Answer:
x = -15/2
Step-by-step explanation:
For this problem, we will simply use equation properties to solve for x.
2x - 5 = -20
2x - 5 + 5 = -20 + 5
2x = -15 ( Add positive 5 to both sides )
2x * (1/2) = -15 * (1/2)
x = -15/2 ( Multiply both sides by 1/2)
Hence, the solution to x is -15 / 2.
Cheers.
This is a two step word problem so first your gonna have to subtract 320-50= 270 then divide to find your final answer so 270 divided by 8 is 33.75
Answer:
Step-by-step explanation:
Additive inverse of (5a² - 4a + 3) should be added to make them zero
(5a² - 4a + 3) + (-5a² + 4a - 3)= <u>5a² - 5a² </u> <u>- 4a + 4a</u> <u>+ 3 - 3</u>
= 0
Answer:
Step-by-step explanation:
The better buy is the one where you get more area of pizza per dollar (area/price).
Since the problem gives diameter, we assume the pizzas are circle-shaped.
Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.
*************************************************************************************
Pizza 1: d = 8 and price is $10
r = 1/2 x d = 4
Area of Pizza 1 = πr² = π(4)² = 16π
*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar
**********************************************************************************
Pizza 2: d = 14 and price is $16
r = 1/2 x d = 7
Area of Pizza 2 = πr² = π(7)² = 49π
*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar
***********************************************************************************
Pizza 2 is the better buy, with more pizza per dollar.
