The statements that are correct are A and E. A because the y-intercept for y=5x+12 is 12 and the table of values it is 5. E is correct because the rate of change for the table of values is 24 and y=5x+12, it is 5.
Answer:
d. May
Step-by-step explanation:
Working through the chain, we have ...
Feb = 1.10×Jan
Mar = 0.85×Feb = 0.935×Jan
Apr = 1.20×Mar = 1.122×Jan
May = 0.90×Apr = 1.0098×Jan
Jun = 1.05×May = 1.06029×Jan
The multiplier that is closest to 1 is 1.0098, so May has sales closest to January.
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The percentage increase or decrease can be converted to a multiplier by adding it to 1. If p% is the percentage change, then adding it to an original value looks like ...
original + p% × original = original × (1 +p%) . . . . . . . distributive property
And p% translates to a decimal number by replacing % with /100 or ×0.01.
10% increase: original × (1 + 10/100) = original × 1.10
15% decrease: original × (1 - 15/100) = original × 0.85
7 - 4 ( d - 3) = 23
7 - 4d + 12 = 23
Subtract 12 from both sides,
7 - 4d = 11
Subtract 7 to both sides
- 4d = 4
Divide -4 to both sides
d = -1
Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.
Answer: 100 adult tickets must be sold.
Step-by-step explanation:
step 1
let x represent Adults
AND y represent children
Since the theater seats 250 people we have that
x+y = 250..... equation 1
Also price for Adult ticket = $11
and price children ticket =$8
With total sales at $2,300, we have that
11x + 8y= 2300----- equation 2
Step 2
Making y subject in equation 1
' x+y = 250
y= 250-x
Putting y= 250- x in equation 2
11x + 8(250-x)= 2300
11x +2000-8x= 2300
11x -8x = 2300-2000
3x= 300
x 300/3
x= 100.
To find y
x+y = 250
100+y=250
y=250-100
y=150
Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300
Answer:
5 + x + 5 + x + x
Step-by-step explanation:
We are given 4 expressions and we have to determine which expressions shows a sum of five terms.
We use the process of elimination:
5(x + 5)
=5x+25 (distributing 5)
This contains sum of only two terms, <u>eliminate</u>.
5x
It contains only 1 term, <u>eliminate</u>.
5 + x + 5 + x + x
It contains 5 terms 5,x,5,x and x, <u>KEEP</u>!
5.
Only contains 1 term, <u>eliminate</u>.
With this said, were left with:
5 + x + 5 + x + x
Which is the correct answer! :)
