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2 years ago

10

A coach spends a total of $435 to buy a uniform and a soccer ball for each of the 15 players on the team. The cost of each socce

r ball is 8$
Which equation can be used to find the cost of each uniform?

1 answer:

ale4655 [162]2 years ago

3 0

15 players times the uniforms(x) and the cost of the ball equals the total spent 15(x+8)=435

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Liam rented a pedal board for 5.5 hours and paid a total of $93.75. What is an equation in point-slope form that

ExtremeBDS [4]

Answer: if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a pedal board for x hours. liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

Step-by-step explanation:

yeah that’s all

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4 years ago

Suppose speeds of vehicles traveling on a highway have an unknown distribution with mean 63 and standard deviation 4 miles per h

Mashutka [201]

Answer:

The standard deviation for the sample mean distribution=0.603

Step-by-step explanation:

We are given that

Mean, $\mu=63$

Standard deviation, $\sigma=4$

n=44

We have to find the standard deviation for the sample mean distribution using Central Limit Theorem for Means.

Standard deviation for the sample mean distribution

$\sigma_x=\frac{\sigma}{\sqrt{n}}$

Using the formula

$\sigma_x=\frac{4}{\sqrt{44}}$

$\sigma_x=\frac{4}{\sqrt{2\times 2\times 11}}$

$\sigma_x=\frac{4}{2\sqrt{11}}$

$\sigma_x=\frac{2}{\sqrt{11}}$

$\sigma_x=0.603$

Hence, the standard deviation for the sample mean distribution=0.603

6 0

3 years ago

6 children and 2 adults are going to the circus, children tickets are on sale, half the price of adult tickets totaling $54. How

inna [77]

Answer:

Price of 1 child ticket is $5.4

Price of 1 adult ticket is $10.8

Step-by-step explanation:

Given:-

6 children and 2 adults are going for circus.

Children ticket is half the price of adult ticket.

Total ticketing cost =$54

To find:-

Cost of 1 child ticket=?

Cost of 1 Adult ticket=?

Solution:-

Let price of 1 child ticket be x and price of 1 adult ticket be y,

therefore from the given data we get 2 equations,

$6x+2y=54$ -----------------------------------(1)

$x=\frac{1}{2} y$ --------------------------------(2)

Now, substituting the value of x from equation 2 in equation 1,

$6x+2y=54$

$6(\frac{1}{2} y)+2y=54$

$\frac{6}{2}y+2y=54$

$3y+2y=54$

$5y=54$

$\therefore y=\frac{54}{5}$

$\therefore y =10.8$ ------------------------(3)

Now, substituting the value of y from equation 3 in equation 2,

$x=\frac{1}{2} y$

$\therefore x=\frac{1}{2} \times 10.8$ ------------(from equation 3)

$\therefore x=\frac{10.8}{2}$

$\therefore x=5.4$ ----------------------(4)

As, x is price of 1 child ticket and y is price of 1 adult ticket,

Therefore price of 1 child ticket is $5.4 and price of 1 adult ticket is $10.8

7 0

3 years ago

Create a numeric vector called age whose elements contain the ages of three people you know, where the names of each element cor

erik [133]

Answer:

age<-c(20,30,40)

names(age)<-c ("ELI", "ALI", "JON")age

## ELI ALI JON

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Step-by-step explanation:

The above given vector named age consists of three elements. Each element consists of ages of three people, ELI, ALI and JON, such that 20 corresponds to ELI, 30 to ALI and 40 to JON.

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3 years ago

Traveling with the current, a boat covers a distance 1.5 times greater than traveling against the current in the same amount of

jeka94

Let the speed of the current equal c
and the speed of the boat in still water equal b.

b + c = 1.5 (b - c)
b + c = 1.5b - 1.5c
0.5b = 2.5c
b = 5c

The speed of the current is 1.5 mph so
b = 5 * 1.5 = 7.5 mph

4 0

3 years ago