The given equations are:
1) 2y = -x + 9
⇒ x = 9-2y
2) 3x - 6y = -15
⇒3x = 6y - 15
x = 2y - 5
Equating the values of x, we get:
9 - 2y = 2y - 5
9 + 5 = 4y
14 = 4y
y = 3.5
Using this value of y in equation 1 we get:
x = 9 - 2(3.5) = 2
So, the solution set is (2, 3.5)
Y 10x - 13 should be right
Answer:
if she cannot spend more than $40, she will spend .3 on each cupcake
Step-by-step explanation:
when you divide 12 by 40, you get .3 and to check if it is true, you can multiply .3 x 40 and you will get 12 hope you get it right, and have a good day :)
Answer:
EBM = +-54.126
Step-by-step explanation:
In this question we have confidence interval to be 80%
The formula to solve this is in the attachment.
Bar X = 1460
Z-alpha/2 = 1.282
Sd = standard deviation = 198 employees
n = 22 departments
After we have inserted all values in to the formula we have:
1460 +-(1.282*198/√22)
= 1460+-(54.12604)
= (1405.87, 1514.126)
The error bounded mean EBM
= +-z-alpha/2 x (sd/√n)
= 1.282 x 198/√22
= 1.282 x 42.22
EBM = +-54.126
Answer:
The distance bicycle tire travels is <u>1946.8 cm</u>.
Step-by-step explanation:
Given:
Diameter of bicycle tire = 62 cm.
The bicycle tire travels in 10 revolutions.
Now, to find the distance the bicycle tire travels in 10 revolutions.
Diameter = 62 cm.
Radius (r) = 
So, we get the circumference first by putting formula:


Thus, we get the <u><em>circumference of tire 194.68 cm.</em></u>
<u><em>Number of revolutions the tire travels = 10.</em></u>
Now, to get the distance the bicycle tire travels we multiply circumference of tire by number of revolutions the tire travels:

Therefore, the distance bicycle tire travels is 1946.8 cm.