Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
- 3x - 5y = - 7 → (1)
- 4x + 5y = 14 → (2)
Add the 2 equations term by term to eliminate y , that is
- 7x + 0 = 7
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
- 3(- 1) - 5y = - 7
3 - 5y = - 7 ( subtract 3 from both sides )
- 5y = - 10 ( divide both sides by - 5 )
y = 2
solution is (- 1, 2 )
Answer:
3 cups of water
Step-by-step explanation:
Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits?
Expand 1/2 to 2/4, if there is 1 1/2 cups of corn grits, that means that 1/4 cups of corn grits was used 6 times, 1/2x6=3. He will need 3 cups of water
The probability that both items will be Harry Potter themed is 1/8.
<u>Step-by-step explanation:</u>
Total Number of pajama pants n(P) =8
Total number of slippers n(S)= 3
Number of Harry Potter themed Pajama pants n(H.P)=3
Number of Harry Potter themed slippers n(H.S)=1
We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.
If two events A and B are independent, then the probability of A and B is given by
P(A and B)=P(A)*P(B)
Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.





Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8
Answer:

Step-by-step explanation:
The scientific notation:

We have:

Use


Answer:
Chloe received $11 as change if she gave the clerk $50
Step-by-step explanation:
We are given that Chloe purchased a sweater that cost $24, and a shirt that cost 5/8 times as much as the sweater.
Cost of sweater = $24
Cost of shirt =
So, Total cost of shirt and sweater = 24+15=39
Now She gave $50 to clerk
So, Change received by her = 50-39=11
So, Chloe received $11 as change if she gave the clerk $50