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Ksenya-84 [330]
3 years ago
9

A children's birthday party at an indoor play center costs $50 to rent the space and $6.25 per child. Gina wants to spend no mor

e than $100 on her son's fourth birthday party. Write an inequality for the number of children who can attend the birthday party, and solve the inequality.
A) 50 + 6.25x 100; x>8
B) 50 + 6.25x 100; x 8
D) 50 + 6.25x 100; x<8
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

100>50 +6.25x, subtract 50 from both sides

50>6.25x, divide both sides by 6.25

8>x or x<8

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Inverse f(x)=-5x-30?
Nat2105 [25]

Answer:

- 150

Step-by-step explanation:

5×-30?-----) -150 is the answer

4 0
3 years ago
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Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.
liubo4ka [24]

Answer:

10 weeks

Step-by-step explanation:

20x+50=250

First subtract 50 from both sides, which gives you 20x=200

then divide 20 from both sides which gives you x=10

3 0
3 years ago
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
Dvinal [7]

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

3 0
3 years ago
A table is on sale for 26 % off. The sale price is $ 333 . What is the original price?
Svetllana [295]

Answer:

$450

Step-by-step explanation:

The sale price is computed from ...

... sale price = original price - discount

where ...

... discount = (original price) × 26%

Putting these together, we get ...

... sale price = (original price) - 0.26×(original price)

... sale price = (original price) × (1 - 0.26) = 0.74×(original price)

Dividing by 0.74, we find ...

... original price = (sale price)/0.74

... $333/0.74 = $450 = original price

6 0
3 years ago
An amount of $23,000 is borrowed for 11 years at 6.75% interest, compounded annually. If the loan is paid in full at the end of
Pavel [41]

Answer:

Given that,

An amount of $23,000 is borrowed for 11 years at 6.75% interest, compounded annually.

To find the Amount paid back after 11 years.

Explanation:

we know that,

The formula to find the,

Amount after n years of interest rate r% compounded annually is,

A=P(1+\frac{r}{100})^n

where P is the initial amount.

Here, we have that,

P=$23,000

r=6.75

n=11

Substitute the values we get,

A=23000(1+\frac{6.75}{100})^{11}

Solving this we get,

A=23000(1+0.0675)^{11}A=23000(1.0675)^{11}A=23000(2.05138)A=47181.805

Round to the nearest dollar.

A=47181.805\approx47182

Answer is: Amount paid back is $47182 after 11 years

7 0
1 year ago
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