The points scored on a test for a sample of 39 students are summarized in the following table

Step 1

Given;

Step 2

Answer:

let M be the money, hence, she saved

To find how many participants out of 100 are running for a cause we can use the next proportion:

Solving for x:

Commision = $1110.20

Selling= $7930

x is the commission rate

Then we isolate the x

ANSWER

The commission rate is 14%

Answer:

Explanation:

The angles 4 and 8 are equal; therefore,

Subtracting x from both sides gives

Subtracting 20 from both sides gives

Finally, dividing both sides by 2 gives

With the value of x in hand, we now find the measure of angle 8.

Hence, the measure of angle 8 is 110.

Answer:

The speed of the boat is 9 miles/hour and the speed of the current is 3 miles/hour

Explanation:

Let's call x the speed of the boat and y the speed of the current.

The distance traveled is equal to the speed times the time, so the boat traveled 36 miles in three hours and we can write the following equation

(x + y)3 = 36

3(x + y) = 36

because when the boat traveled downstream, the total speed is the sum of x and y.

On the other hand, the boat traveled 30 miles upstream in 5 hours, so

(x - y)5 = 30

5(x - y) = 30

Therefore, the system of equations is

3(x + y) = 36

5(x - y) = 30

Solving the first equation for x, we get

Now, we can replace this expression on the second equation as follows

Then, the value of x is

x = 12 - y

x = 12 - 3

x = 9

So, the speed of the boat is 9 miles/hour and the speed of the current is 3 miles/hour

HJ=25

JK=25

HK=50

Explanation

Step 1

J is the midpoint, it means

Step 2

replace andsolve for x

Step 3

finally replace the valure of X to find HJ and JK

I hope this helps you

According to the given data we have the following equation:

2x + 1 x + 3y = 10

There are two types of variables in the equation above.

The variable x and the variable y

In order to calculate the difference of the values of the two variables we would make the following:

First we would sum elements of variable x

variable x=2x + 1x=3x

variable y=3y

Therefore, the difference of the values=3x-3y=0

So, The right answer would be A, the value is 0.

Answer:Hay 500 calorías en una Big Burger.

Step-by-step explanation:

En una semana (7 días), Mark come 7 sándwiches de huevo, que son 1750 calorías. Reste la cantidad total de calorías que consumió por la cantidad de calorías consumidas a través de sándwiches de huevo; 5250-1750=3500. 3500 es el número total de calorías que Mark consumió al comer una Big Burger todos los días durante 7 días. Divide 3500 entre 7 = 500. Hay 500 calorías en una Big Burger.

Answer:

$6370

Explanation:

The simple interest formula gives us the final amount A given the principal amount P:

where r is the interest rate and t is the time interval.

Now in our case we have

P = 2800

r = 4.25/100

t = 30 years

therefore, the above formula gives

which simplifies to give

Hence, the account balance after 30 years will be $6370.

Let's begin by listing out the information given to us:

1st term = 359, 2nd term = 352, 3rd term = 345

This is an Arithmetic Progression (A.P.)

Since the line in red is common to both triangles and segments PM and ON are parallel, then the angles in purple are congruent and so are the angles in green. So they are congruent by ASA

Given:

length: 4.2 cm

width: 7 cm

height: 15 cm

Required:

volume = ____ cm3

Explanation:

volume of prism=

Required answer:

1 hour = $7

Number of hours = Amount/7

Therefore, 259/7 = 37 hours

Solution: Sue worked for 37 hours last week.

Answer:

Table 3

Explanation:

A linear function has a constant slope.

To determine if the table represents a linear function, find the slope for two different pairs of points.

Table 1

Using the points (1,-2), (2,-6)

Using the points (2,-6), (3,-2)

The slopes are not the same, thus, the function is not linear.

Table 3

Using the points (1,-2), (2,-10)

Using the points (2,-10), (3,-18)

The slopes are the same, thus, the function is linear.

Table 3 is the correct option.

Explanation

Given the donors as

The total number of donors are

Therefore, the percent of donors at the bronze or silver level is

Answer:

Given:

The graph of

Required:

What are the possible value(s) of k?

Explanation:

You want to find the value the value of k such that the y coordinate of the vertex is 0.

The x coordinate, h , of the vertex is found, using the following equation:

Answer:

So, values of k are above.

For this case we can set uo an equation given by:

Where y represent the final cost. x the number of Gig used and for this case we can set up the following equation:

And solving for x we got:

And the final answer for this case woudl be 4 Gig of data used

34. The equation is given as

Solving the equation by expanding and simplifying.

Use the identity,

Hence the answer is

Given in the question:

a.) Random guesses are made for six multiple-choice questions.

b.) There are five choices for each question.

c.) There are n equals six trials each with the probability of success (correct) given by P equals 0.20.

We will be using the Binomial Probability Formula:

Where,

n = Number of trials = 6

P = Probability of success = 0.20

X = Correct answers

Let's evaluate the definition of binomial probability at k = 0 since we are tasked to find the probability of no correct answers.

Therefore, the probability of no correct answers is 0.262 or 26.20%.

Let's take two points so that we can get the equation of the line which goes through those points. P1 (-9, -2), P2 (3, -17):

So, y is the line which goes through the first and last points of the chart.

To proof that the rest of points go through the line as well, we will evalute each point

Since the evaluation of these points don't correspond to the values of the chart we can assure that the relationship is not linear

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

50^x = 17

Step 02:

exponential equation:

1. Apply logarithms to both sides of the equality.

2. Apply properties of logarithms.

3. Apply the algebraic rules to find the value of x.

The answer is:

x = (log 17) / (log 50)

Let us solve the given system of equations by using the elimination method.

Question 1:

Add these two equations so that the y variable cancels out

So, the value of x can be found now

Substitute the value x into any of the two equations to find the value of y.

Therefore, the solution of this system is x = -9 and y = 4

Given data:

The given table is shown.

The expression for the probability of that a randomly selected injured skater was not age 12 and was not wearing roller skates is,

From the diana table we can conclude:

She's reading 6 pages per day.

Since:

Keith is also reading 6 pages per day.

We will have the following:

a) His parents spent:

So they spent $19.94.

b) They will spent the following in rental:

So, the hourly rate $18.75.

c) We will determine the amount spent:

So, it would be $18.04.

Using the formula:

We get:

162°C is equal to 323.6 F

The volume of the pool is

a cubic foot is 0.037 cubic yards.

thus

but a cubic yard of dirt costs $12, and we need 162.8 cubic yards.

that would cost