Which equation is an identity?A. 7m – 2 = 8m + 4 – m
B. 8y + 9 = 8y – 3
C. 11 – (2v + 3) = –2v – 8
D. 5w + 8 – w = 6w – 2(w – 4)
Answers
Let: 1 = m = y = v = w
A. 7m – 2 = 8m + 4 – m
7(1) – 2 = 8(1) + 4 – (1)
5 =/= 11
B. 8y + 9 = 8y – 3
8(1) + 9 = 8(1) - 3
17 =/= 5
C. 11 – (2v + 3) = –2v – 8
11 - (2(1) + 3) = -2(1) - 8
6 =/= -10
D. 5w + 8 – w = 6w – 2(w – 4)
5(1) + 8 -1 = 6(1) - 2(1 - 4)
12 = 12
Therefore, the choice D is the identity.
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Write y=2x^2-4x+12 in vertex form
Answers
Answer:
(8 × 10) + (10 × 10) = 80 + 100 = 180 minutes
Step-by-step explanation:
It is given that, Jack reads his book for 8 minutes before school and 10 minutes after school.
No of days between Monday to Friday = 5
No of days between Monday to Friday in 2 weeks = 10
We need to find how many minutes Jack reads his book in two weeks.
For 10 days, before school = (8 × 10) min = 80 minutes
For 10 days, after school = (10 × 10) min = 100 minutes
It means, total time will be :
T = (8 × 10) min + (10 × 10) min
T = 80 + 100
T = 180 minutes
Hence, the correct option is (C).
Answers
1 foot=12 inches
12 feet times 12=144 inches
144+5=149 inches
160>149
it cannot pass through it is too high
Answers
Contractionary fiscal policy calls for a decrease in government spending and an increase in taxes. This is used as a macroeconomic tool to slow down an economy by a country’s central bank or finance ministry. Contractionary fiscal policy reduces the money supply and ultimately the country’s spending.
3x ^2 +20x+12
Answers
b $90
c$100
d$110
Answers
Answer:
Cost for the 5 gift cards = $20
Step-by-step explanation:
In the given graph,
y axis shows the "total cost" in dollars
x axis shows the "number of gift cards"
According to the graph:
Cost of 1 card = $20
Cost of 2 cards = $40
Cost of 3 cards = $60
Cost of 4 cards = $80
We see that that relation represents the linear relation.
So, cost of 5 cards = 5*$20 = $100
That's the final answer.
I hope it will helps you.
so your answer is C.) $100
Answers
Answer:
number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).
Step-by-step explanation:
Given the ratio of nurses to doctors is 9:2, we can express this as:
Number of nurses (9x) : Number of doctors (2x)
Now, you've mentioned that the total number of nurses and doctors employed at the hospital is 77n. So, we can set up an equation:
9x + 2x = 77n
Combine like terms:
11x = 77n
Now, to find the number of nurses (9x) and the number of doctors (2x), we need to divide both sides by 11:
9x = (77n) / 11
9x = 7n
Now, we can solve for x:
x = (7n) / 9
So, the number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).
In summary:
- Number of nurses = 7n
- Number of doctors = (14n/9)
solved by MG