A printer prints 5 photos each minute. Let P be the number of photos printed in M minutes. Write an equation relating P to M. Then graph your equation using the axes below.

Answer:

Explanation:

The surface area of a sphere is calculated using the formula:

Given that the radius of a certain spherical planet, r = 2460 km

The price of the house is $29900

At first you paid 20% of that price, to calculate how much the down payment was you have to do as follows:

The down payment was $59800 and there are $299000-$59800=$239200 left to pay.

From this $239200 you have to calculate the interest rate:

$239200*0.0425= $10166 → this represents the total interest rate you'll pay

This is a 30 year loan, which means you'll pay

30*12=360

for 360 months

Divide the principal payment $239200 by 360 to calculate the monthly fee:

Do the same with the total interest rate:

Monthly you'll pay $664.44 plus $28.24 of interest, that adds up for a total of $692.68

Find the probability that the respondent will choose "somewhat likely". Divide the number of respondents who chose the option by the total number of respondents.

Since we need to find the probability of the complement of "somewhat likely", subtract the obtained probability from 1.

Let regular coffee be x and decaffeinated be y. If they served 5 coffees in all, and

Answer:

(-3/5, 4/5)

Explanation:

Given the system of equations:

First, we substitute y=2x+2 into the first equation to obtain:

We solve the derived quadratic equation for x,

We then solve for the corresponding values of y using any of the equations.

Therefore, the solutions o this system are:

(-1,0) and (-3/5, 4/5).

The other solution is (-3/5, 4/5).

We can draw each line by assuming that x = 0 and y = 0 and solve each case.

In the first equation, we have the following:

notice that we have a pair of coordinate points (0,-2) and (-2,0). These two points will be useful when we draw the line.

Next, for the second equation we have:

in this case we have the points (0,2) and (-2/3,0). Now, if we draw both lines on the coordinate plane we get the following:

notice that both lines intersect on the point (-1,-1). Thus, the solution of the system of equations is the point (-1,-1)

Given the function:

we can find f(3) by making x = 3 and solving for the term f. In this case, we have the following:

therefore, f(3) = -60

We start by calculating the difference between the expected measured value and the value measured by Gary:

8.4 ft - 5.6 ft = 2.8 ft

Now we estimate what 2.8 ft is of the actual measurement 8.4 ft. That is:

2.8 / 8.4 = 0.33333... this is written in percent form as: 33.33%

This is the percent error.

From the given cooridnate values, we can see that the linear regression model is given by:

the line

If a and b denote the slope and y-intercept then , by comparing with the given solution, we can note that the slope (a) is incorrect. It must be 2.5 instead of -2.5. Therefore, the answer is option D

Consider the triangle PAM and triangle PBM.

Hence it is proved that,

t = P/r

The given equation is:

P = rt

To solve for t by dividing both sides by r

Therefore:

We want to determine the 40 percent of 70, so we have to multiply 70 by 40%:

Answer: X= -5/7

Step-by-step explanation:

4(-5x-6)=4(9x+4)

-20x-24=4(9x+4)

-20x-24=4(9x+4)

-20x-24=36x+16

Then add 24 to both sides:

Hello there. To solve this question, we'll have to remember some properties about percents.

We start with percent of increase: it is the difference between how much a thing is from another and 100%.

Now, to calculate this amount, we take the ratio of the numbers. In this case, the cost of a pound of nails.

Knowing it increased from $2.03 to $2.19, we calculate:

2.19/2.03 = 1.079

Multiply by 100% to find its amount in percent

1.079 * 100% = 107.9%

Now, we simply take the difference:

107.9% - 100% = 7.9%

Rounding this percent to the nearest whole-number percent, we get:

8%

..

SOLUTION

The sequence progresses by the addition of 1 to both numberator and denominator.

The next number is 4/6.

From the information given, the number of outcomes from 20 trials are

Red = 7

Yellow = 6

Blue = 7

From the outcomes, since the number of outcomes for red and blue are equal, it means that the number of red and blue faces would be the same. The only option where they are the same is the last option. Since the total number of faces is 6, the remaining face which is yellow is possibly 2. Thus, the correct option is

The cube has 2 red faces, 2 blue faces and 2 yellow faces

Explanation

we will begin by finding the mean and median of the data set

The mean is simply the average of the set, which will be

The median is

Thus, we have the median as 5

To check which is a better measure, we will have to check the skewness

The skew value is 1.51

This means it is positively skewed

Thus

If the distribution is positively skewed then the mean is greater than the median which is in turn greater than the mode.

Therefore, the answer is

Given:

A card is selected from a standard deck of cards.

Required:

We need to find the probability of selecting a King or an even card.

Explanation:

The sample space =the total number of cards = 52.

Let A be an event of selection a king.

The number of cards that is king = 4.

The favourable outcomes =The number of the card king

The probability of selecting a king

Let B be an event of selection an even card.

There are 5 even values (2,4,6,8,10) and 4 of each in the deck.

The number of cards that is even card=20.

The favourable outcomes =The number of the even card

The probability of selecting an even card

The probability of selecting a King or an even card is

Final answer:

The probability of selecting a King or an even card 6/13.

Answer:

1 1/2 quarts of water

Explanation:

If she drinks 1/4 quart of water for every mile, in 6 miles, she will drink 6 times 1/4 quart of water, so

Now, we can simplify the fraction dividing the numerator and denominator by 2

Now to convert 3/2 to a mixed number, let's divide 3 by 2

Since 1 is the quotient and 1 is the remainder, the mixed number is

So, the answer is;

1 1/2 quarts of water.

Answer:

50km

Step-by-step explanation:

We know that every minute we travel .5 km....  

[tex]\frac{1 min}{.50 km}[/tex]

But we want to know how far we traveled in 25 mins

[tex]\frac{25 mins}{? km}[/tex]    

So we go and do....

[tex]\frac{1 min}{.50 km} * \frac{25 mins}{? km}[/tex]

Then we have to divide 25 by .50

[tex]\frac{25 mins}{.50 km}[/tex]

Which Gives us

50 so he traveled 50km

Answer:

12.5km

Step-by-step explanation:

Hey! Let's help you with your question here!

We can begin by figuring out what we know!

What we don't know is the distance traveled based on the given time. Now, what do we do? Well, we already know that the bicycle is traveling at a distance of .50km per minute and it takes us 25 minutes to get to the library. All we need to do here is take the distance per minute and multiply it by the total amount of minutes it takes to reach the destination. It would look something like this:

[tex]=(0.50km/s)*25[/tex]

[tex]=0.50*25[/tex]

[tex]=12.5[/tex]

Therefore, we can see that if we travel at a distance of .50km/min for 25 total minutes, we get a final distance of 12.5km.

see the attached figure to better understand the problem

the angle between the two vectors is x and the vertex is R

Here,

P = 600

t = 6

n = 1 (annually)

r = 11% = 0.11

Applying the fromula to calculate compound interest we have,

The answer is 1122.248.

SOLUTION

Don'te is sitting on the bus on the way home from school and is thinking about the fact that he has three homework assignments to do tonight.

The table below shows his estimated probabilities of completing 0, 1, 2, or all 3 of the

assignments.

Number of Homework

Assignments Completed Probability

0 1/ 6

1 2/ 9

2 5/18

3 1/ 3

What is the probability he will NOT do exactly 1 assignment?

1/ 6 + 5 / 18 + 1/ 3 = 7 / 9 ................. OPTION B

The given slope is:

And the point:

we label the coordinates as follows:

And now, we use the slope-point formula, which is:

substituting the known values of slope m and the point:

We need to solve this for y to find the slope intercept form (which is y=mx+b):

The slope-intercept form is:

y = -6x - 40

The quotient of ;

We have given that

Given that R is the midpoint so

Hence

BY SSS

We have the next equation

then we need to isolate the n

the value of n is 5

In the question, it is given that the average salary is $39,500.

In consideration of the first statement

(a) , last year, some of their clients had a starting of atleast $39500 ...this is true

(b) they have mentioned the case of last two years, this is also incorrect.

( c )if the client has lesser than $39,500 salary, and the average salary is $39,500 , then average will be less than $39,500, then statement a is not true..

(d) Last year at least one of their clients had a starting salary of more than $42,000., this is more than the average , but could be true, but it is false as $42000 will be more than the average of $39,500

(e) Last year at least one of their clients had a starting salary of exactly $39,500. ... this is not true, as exactly would not allow the $39,500 to be any less.

• So correct options would be A

Solution

Given a triangle FDH with E, G and H the midpoints of the sides of the triangle

Considering the figure EGHK,

Line EG is parallel and equal to line KH

Line, EK is parallel and equal to line GH

This is a feature of a parallelogram i.e two pair of opposite sides of a parallelogram are parallel and equal

∠GEK is equal to ∠GHK and ∠EGH is equal to ∠EKH

This is a feature of a parallelogram i.e