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ss7ja [257]
3 years ago
10

Bridget needs an actor actor is offering her services for an initial $250 in addition to $50 per day to be is offering her servi

ces for an initial $200-$60 per day when will the two actors charge the same amount of money
Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0
Confusing but this is the scenario

actor a is charging 250+50x where x=number of days
actor b is charging 200+60x (guessing that you meant to put + because a - sign wouldn't make sense)

so when are they equal?
set them equal to each other
250+50x=200+60x
subtract 50x from both sides
250=200+10x
subtract 200 from both sides
50=10x
divide both sides by 10
5=x

at 5 days, they will charge the same ammount
You might be interested in
A carton has a length of fraction 2 and 1 over 6 feet, width of fraction 1 and 1 over 5 feet, and height of fraction 2 and 1 ove
ozzi

Answer:

6 1/2 cubic feet

Step-by-step explanation:

A carton has a length of 2 1/6 feet

The width is 1 1/5 feet

The height is 2 1/2 feet

Therefore the volume of the carton can be calculated as follows

= length × width × height

= 2 1/6 × 1 1/5 × 2 1/2

= 13/6 × 6/5 × 5/2

= 390/60

= 13/2

= 6 1/2 cubic feet

Hence the volume of the carton is 6 1/2 cubic feet

3 0
3 years ago
There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f
Ann [662]

Answer:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

The estimated population proportion for this case is:

\hat p = \frac{350}{500}=0.7

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0
3 years ago
What is (43/7÷ x+32/9) ÷25/6=4/3
Fittoniya [83]

The value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

<h3>How to solve for x in the equation?</h3>

The equation is given as:

(43/7 ÷ x + 32/9) ÷ 25/6 = 4/3

Rewrite as a product

(43/7 ÷ x + 32/9) x 6/25 = 4/3

Multiply both sides of the equation by 25/6

(43/7 ÷ x + 32/9)= 4/3 x 25/6

Evaluate the product

(43/7 ÷ x + 32/9)= 50/9

Rewrite the equation as:

43/7x + 32/9= 50/9

Subtract 32/9 from both sides

43/7x = 2

Multiply both sides by 7x

14x = 43

Divide by 14

x =43/14

Hence, the value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

Read more about equations at:

brainly.com/question/2972832

#SPJ1

3 0
2 years ago
Find the perimeter and area of length 3cm and width 5 cm
Anni [7]
L = 5 and w = 3

Perimeter = 2(l + w)
P = 2(5 + 3)
P = 2(8)
P = 16 cm


Area = l*w
Area = 5*3
Area = 15 cm^2
4 0
3 years ago
An amusement park charges an admission fee of 30 dollars per person. The cost, C (in dollars), of admission for a group of p peo
Nuetrik [128]
All you have to do here is multiply 30 by the number of people
so..

cost = 30 \times 2
cost = 60

7 0
3 years ago
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