The sum of three numbers is 99. The third number is 3 times the first . The second number is 9 more than the first. What are the numbers?

Answers

Answer 1

Answer: This can be written as x + (x-9) + 3(x-9) = 99

5x - 36 = 99

5x = 135

x = 135/5 = 27

You can now just plug in the value of x for each of the initial terms to get:

n1 = 27

n2 = 18

n3 = 54

Step-by-step explanation:


Related Questions

59+2=?
help i need somebody help not just anybody

Answers

Answer:

59+2=61

Step-by-step explanation:

Please help me!! Thank you

Answers

Answer:

get a smarter person to help i just need my points

Step-by-step explanation:

A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold

3. The car dealership sets a goal for each salesperson to sell at least 12 cars per month. The salesperson
achieves this goal every month for the entire year. What is the minimum amount of money the
salesperson earns for the entire year? Show your work.
I

Answers

Answer:

8 vehicles

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

         Incentive of salesperson is $250 per vehicle sold.

First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

$2000 need to be earned only through incentive, which is $250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle=

8 vehicles need to be sold by salesperson to get total earning as $4400.

What is the median number of this data set 15,33,51,75,51?

Answers

Answer:

51

Step-by-step explanation:

1. The median of a data set is the quantity that's in the middle of the data points. Before looking what number is in the middle, you have to order them from least to greatest.

15, 33, 51, 51, 75

2. Now, when crossing from left to right then left to right again, you end up with 51 in the middle.

Therefore, the median number is 51.

51 the median number is the number directly in the middle of the data set commonly confused with the mean which is the sum of all the Numbers divided by the amount of numbers there are

An entrepreneur wants to rent
a billboard at least 30 feet tall to display an
advertisement for her business. She is 5 feet 6 inches
tall and casts a shadow 7 feet long. At the same
time, a billboard casts a shadow 35 feet long. Is the
billboard tall enough?

Answers

The billboard is 73 ft talk


[tex]f(a) = {a}^{ \frac{1}{2} } + 3a + {a}^{2} [/tex]
[tex]f(x) = \frac{9}{17} {x}^{83} + \sqrt{54 {x}^{97} } + \pi[/tex]
[tex]g(x) = (x - \frac{2}{3} )(x + \frac{3}{4} )[/tex]
which one of the following is a polynomial and which is not, and why?​

Answers

Step-by-step explanation:

g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.

f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree

1. find the measure of each angle

Answers

Step-by-step explanation:

adding both equations together makes the straight line that is QRS. straight lines are 180

you should picture a windshield wiper going side to side and you're trying to see how much farther it has to move until it straightens out at the bottom

(3x-5) + (10x-7) = 180

what is 2 over 5 + 3 over 7=

Answers

Answer:

[tex]\frac{29}{35}[/tex] Is correct answer

Step-by-step explanation:

Step 1: We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 2 by 7, and get 14, then we multiply 5 by 7 and get 35.

Now for the second term. You multiply 3 by 5, and get 15, then multiply 5 by 7 and get 35.

Step 2: Since our denominators match, we can add the numerators.

14 + 15 = 29

That gives us an answer of = [tex]\frac{29}{35}[/tex]

In pic

(Hope this helps can I pls have brainlist (crown)☺️

Mary has 3 more apples than Ted and 3 times as many apples as Alex. How many apples do all three of them have combined if Mary has 24 apples

Answers

Answer:

52

Step-by-step explanation:

24-3=21 21÷3=7 24 + 21 + 7 = 52

Marta made a fruit salad with 30 strawberries and 50 grapes. Assuming each strawberry contains 6 calories and each grape contains 3 calories, and that each of her 5 family members had an equal share of the fruit salad, how many calories did each person consume from the fruit?

66 calories
78 calories
144 calories
330 calories

Answers

Answer:

maybe it's d.

Step-by-step explanation:

because 30*6=180 and 50*3=150

so total of 330 as I observed

Can you help me plz.

Answers

Answer:

Step-by-step explanation:

pls gimme brainliest if im correct

Answer:

7.77, 7[tex]\frac{4}{9}[/tex], 7.4, 7[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

convert the fractions to decimals

[tex]\frac{4}{9}[/tex] = .44 so 7.44

[tex]\frac{3}{4}[/tex] = .25 so 7.25

7.77, 7.44, 7.40, 7.25

they look to already be in order.

have a lovely day <3

Roxanne is using successive approximation to solve this equation.

She started from a graph, where she found the solution to be between and 0. Using the lower and upper bounds from the graph, Roxanne started the first iteration of successive approximation. Where did Roxanne make a mistake, and what was the error?

Answers

Answer:

B. Roxanne made a mistake at step 5. She should have used x - 1/2 as the new upper bound.

Step-by-step explanation:

Based on the successive approximation method, Roxanne made a mistake at step 5. She should have used x = -1/2 as the new upper bound.

What is successive approximation?

In Science, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.

In this scenario, Roxanne started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that Roxanne made a mistake at step 5 because she should have used x = -1/2 as the new upper bound.

Read more on successive approximation here: https://brainly.com/question/9761975

Thembi leaves school at 07:10 to get to school at 07:45. How long does it take her to school and home each week?​

Answers

Its takes 350 minutes

th LEARNING TASK & Equation FIND THE THE EQUATION OF THE LINE, WRITE STANDARD FORM. THE SLOPE is 5 passing through (-1,4).​

Answers

Step-by-step explanation:

to find the equation of a line having the slope use this formula:

[tex]y - yp = m(x - xp)[/tex]

in which:

- yp is the y of the point (so 4);

- m is the slope (so 5);

- xp is the x of the point (so -1)

so:

[tex]y - 4 = 5(x - ( - 1))[/tex]

[tex]y - 4 = 5x + 5[/tex]

[tex]y=5x + 5 + 4[/tex]

[tex]y = 5x + 9[/tex]

There are 32 students in the 6th grade at Garden Valley Middle School. Eight of them have freckles. What is the ratio of 6th graders with freckles to the total number of 6th graders?
A.
1:4
B.
4:1
C.
1:3
D.
3:1

Answers

Answer:

A. 1:4 is the answer of this question

Answer:

a

Step-by-step explanation:

there's a pattern that goes along with the 32 students in the 6th grade. since 8 is a factor (or multiple?) of 32, and 8x4 is 32, we can simplify.

so, 8 is the first multiple of 32 and 32 is the fourth. if we simplify that, we get 1:4.

the answer is 1:4.

According to the Rational Root Theorem, which statement about f(x)=8x3−4x2+6x+3 is true?

Group of answer choices

Any rational root of f(x) is a multiple of 8 divided by a multiple of 3.

Any rational root of f(x) is a factor of 8 divided by a factor of 3.

Any rational root of f(x) is a multiple of 3 divided by a multiple of 8.

Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Answers

The rational root theorem is used to determine the possible roots of a function.

The true statement is: (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

The function is given as:

[tex]\mathbf{f(x) = 8x^3 - 4x^2 + 6x + 3}[/tex]

The possible roots of a function

[tex]\mathbf{f(x) = qx^n + ax^{n-1} +.....+ p}[/tex]

are

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ p}{Factors\ of\ q}}[/tex]

By comparison: p = 3 and q = 8

So, we have:

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ 3}{Factors\ of\ 8}}[/tex]

Hence, the true option is (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Read more about rational root theorem at:

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What is the volume, in cubic cm, of a cube with an edge length of 20cm?

Answers

Answer:

Isn't it 8000 cubic cm sorry if it's wrong

Jayson started with 200 anger units. Each week he lost 7 anger units. Write an equation that models Jayson's anger after t weeks.

Answers

Answer:

200 - 7t

Step-by-step explanation:

In order to make an equation, you have to figure out what needs to be put into it. Because Jason starts off with 200 anger units, that number will be subtracted by whatever amount he loses or gains per week, which would be 7. Then, in order to model the number of weeks, you would multiply the variable t to 7, so that it represents how many weeks Jason is going to lose 7 anger units. Therefore, our final equation should be:

Anger units = 200 - 7t

Hope this helps :)

A die is rolled twice. What is the probability of showing a 4 on both rolls?

Answers

Answer:

1/36

Step-by-step explanation:

So what you have to do is take all the numbers on the dice. Getting a 4 would be a 1 in 6 (1/6) chance, but then you take the risk of rolling again and trying to get another 4. Nothing changes with the amount of sides, so it would just be another 1/6 change to get the 4. Then, you have to multiply the two changes together. SO 1/6 x 1/6 = 1/36. It is a 1/36 chance to role a 4 on both roles.

The probability of an event is a number between  [tex]0[/tex] and [tex]1[/tex]. Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between  [tex]0[/tex] and [tex]1[/tex].

The probability of the first throw  [tex]4[/tex] is [tex]\frac{1}{6}[/tex].

And on the second throw is [tex]\frac{1}{6}[/tex].

For both, the throws probability [tex]4[/tex] would be

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{36}[/tex]

Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].

To know more about probability

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Is 9 a solution to the equation?
3x - 7=20
Yes no

Answers

Answer:

yes

Step-by-step explanation:

because its right i know its right

yes 9 is a solution to the equation. When you substitute 9 for x and solve you get 20=20 which means that 9 is in fact a solution.

Michael can clean the store in 6 hours. Together him and Lebron can clean the same store in 2 hours. How long would it take for Lebron to clean the store alone?

Answers

Answer:

4 hours.

Step-by-step explanation:

The difference between 6 and 2 is 4.

For the simple linear equation below, what is the y-coordinate of the ordered pair when the x-coordinate is -15? y=4/5x Enter your answer in the box.(-15, )​

Answers

Answer:

The answer is -12

Step-by-step explanation:

Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?

Answers

Answer:

Look down :)

Step-by-step explanation:

The two equations must equal 180 degrees. So what you could do it 4x + (2x + 12) = 180

then solve. If this isnt enough information just comment :)

If no I hope this helped

For the two lanes to be parallel, the value of x must be 28 degrees,

The given information states that the same-side interior angles are 4x degrees and (2x + 12) degrees.

For parallel lines, the sum of these angles must equal to 180 degrees.

As per the concept of linear sum,

4x + (2x +12) = 180

Adding the like terms, we get:

(4x + 2x) + 12 = 180

Simplifying, we get:

6x + 12 = 180

Subtract 12 to both sides, and we get:

6x = 180 - 12

Simplifying, we get:

6x = 168

x = 28

Therefore, the value of x is 28 degrees.

To learn more about the parallel lines;

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solve algebraically 2x^2+4x-85 ≤-4x+5

Answers

Answer:

x ≤ -9 and x ≤ 5

Step-by-step explanation:

2x² + 4x - 85 ≤ -4x +5

2x² + 8x - 85 ≤ 5

2x² + 8x - 90 ≤ 0

x² + 8x -180 ≤ 0

(x + 18)(x - 10) ≤ 0

(x + 9)(x - 5) ≤ 0

x + 9 ≤ 0

x ≤ -9

x - 5 ≤ 0

x ≤ 5

Leah hangs 6 posters in a row, each 14 inches wide, on a bedroom wall. There are 4 inches between each poster. For the posters at each end, there are 3 inches between each poster and the end of the wall. What is an appropriate strategy for Leah to use to find the width of the wall?

Answers

Answer:

62 sq in of wall is covered

Step-by-step explanation:

6 x 14 = 84 -22 = 62

this is for the total

4 x 4 = 16

this is for the inches of the inside wall

2 x 3 = 6

this is for the inches of the outside wall

Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Leah must add the widths of all the places and posters to get the breadth of the wall, so the best course of action is:

Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall.

Thus, the appropriate strategy for Leah to use to find the width of the wall is Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.

Learn more about the rectangle here:

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Please help!
In the figure below, P is the midpoint of LM, and Q is the midpoint of MN. Use the Midpoint formula to find the location of point P and point Q.

Answers

Answer:

P= (5.5, 8)

Q=(8.5,5)

Step-by-step explanation:

Coordinates of L: (2,7)

Coordinates of M: (9,9)

Coordinates of N: (8,1)

Midpoint formula is: [tex]\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]

P is the midpoint of LM, so the coordinates of P will be ((2+9)/2,(7+9)/2)

P's coordinates are (5.5, 8)

Q is the midpoint of MN, so the coordinates of Q will be ((9+8)/2,(9+1)/2)

Q's coordinates are (8.5,5)

two less than seven times a number c

btw this is write the phrase as an algebraic expression​

Answers

Answer:

3c-2

Step-by-step explanation:

Hope it helps!!!!!!!

An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 hours. If the pool is [tex]\frac{1}{3}[/tex] filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.


_____________ hours

Answers

Answer:

40 hours

Step-by-step explanation:

Rate of filling is 1/15Rate of draining is 1/20

If both lines are open the rate of filling is:

1/15 - 1/20 = 4/60 - 3/60 = 1/60 per hour

Since tank is 1/3 full we need to fill the remaining 2/3 of it.

Time required:

2/3 : 1/60 = 2/3*60 = 40 hours

what is proportion mean​

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

hope it helps

mark me brainliest pls

What option best describes the relation shown in the mapping diagram below?

Answers

I think c is the answer but plz make me a brainlist plZ plZ plZ plZ plZ always help you
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