Please use a system of equations to solve this problem. I already know how to solve this, but I want to know how to solve it using a system of equations!!! A writing workshop enrolls novelists and poets in a ratio of 5:3. There are 24 people at the workshop. How many novelists are there and how many poets are there?

Answers

Answer 1

Answer:

[tex]\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }[/tex]

Step-by-step explanation:

hello,

let's note a the number of novelists and

b the number of poets.

we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"

it comes 3a=5b which is the first equation

and we know that a + b = 24 "there are 24 people"

we we have two equations

(1) 3a - 5b = 0

(2) a + b = 24

let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72

let's do 3*(2) - (1) it comes

3a + 3b -3a + 5b = 72 - 0 = 72

so 8b = 72

so b = 9

and then we replace b in (2) it comes

a = 24-9 = 15

hope this helps


Related Questions

If 40 people buy lemonade while at the
food stand, what percent of the people
bought lemonade? Illustrate on the
number line.

Answers

Answer: transforms

Step-by-step explanation:

Help please with questions 1-2
15 points

Answers

Answer:

1)  C)[tex]\sqrt{149}[/tex]

2) A) Yes

Step-by-step explanation:

You are given the function h(t)=t2+2t+1. Find h(−2). h (-2)=

Answers

Answer:

h(-2) = 1

Step-by-step explanation:

h(t)=t^2+2t+1

h(-2) = (-2)^2 +2(-2) +1

       = 4 -4 +1

      = 1

Answer:

-12

Step-by-step explanation:

Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and a box plot to display the same data (both diagrams are shown below). Which display makes it easier to see that the third quartile is 14 degrees C

Answers

Answer:

A box plot would make it easier to see that the third quartile is 14 degrees C.

Step-by-step explanation:

On a box plot, the right end of the box gives the exact value of the third quartile. On a dot plot, you would have to identify the value based on the number of dots shown.

Answer:

Box plot and dot plot

Step-by-step explanation:

Because I checked.

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Peace out

ONE HUNDRED POINTS AND BRAINIEST! The table shows the grades earned by students in Mr. Rawson class on a math test.
Test grades
---------------------------------------------------------------
| 75.8 | 80.5 | 85.6 | 90.1 | 78.2 |
---------------------------------------------------------------
| 81.6 | 89.9 | 84.2 | 74.1 | 92.5 |
----------------------------------------------------------------
| 97.3 | 72.2 | 96.5 | 80.8 | 88.3 |
-----------------------------------------------------------------
| 94.0 | 87.9 | 76.9 | 93.7 | 73.5 |
-----------------------------------------------------------------
| 84.5 | 86.1 | 88.3 | 83.7 | 85.4 |
-----------------------------------------------------------------
A. Should the data be shown as a bar graph or a histogram?

B. Make an appropriate graph for the data. Be sure to label your graph.

Answers

Answer:

Histogram

Step-by-step explanation:

A histogram because it's more appropriate to calculate numbers like these. Unfortunally I can't make a whole graph for you tho but if you want an example of histogram this is one

which solid does the net form? picture below
A hexagonal prism
B hexagonal pyramid
C rectangular prism
D rectangular pyramid

Answers

Answer:

B

Step-by-step explanation:

hexagonal pyramid

6 SIDES,

A PYRAMID

Please help with this simple attachment Extremely Easy!

Answers

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]1/12 \times 3/4[/tex]

[tex]3/48[/tex]

[tex]=1/16[/tex]

Answer:

1/16 ft^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

Answers

Answer:

C. f(x) = x4(x – a)(x – b)2

Step-by-step explanation:

just took the test on edge

A function which could represent the above graph is: C. f(x) = x⁴(x - a)(x - b)².

How to interpret the graph?

In Mathematics, the nature of the intercept on a polynomial graph highlights the nature of its multiplicity. Also, the polynomial graph has no single zero (factor) but bounced off the x-axis at three (3) different locations.

This ultimately implies that, the polynomial graph has an even multiplicity at these three (3) points:

x⁴x - a(x - b)²

In conclusion, a function which could represent the above graph is f(x) = x⁴(x - a)(x - b)².

Read more on multiplicity here: https://brainly.com/question/3791218

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Evaluate t - u/v when t = -1, u = -3, and v = 1/2.


P.S. it’s not multiple choice.

Answers

Hi there!

The answer would be 5.

To subtract fractions, find the LCD and then combine.

Hope this helps !

Answer:

5

Step-by-step explanation:

What is the equation of the parabola with focus (-2, 2) and directrix y = -1?

Answers

Answer:

(x+2)^2=6(y-1/2)

Step-by-step explanation:

The function F is defined by f(x) = 3x-5 over x+6 find f(5x)

Answers

Answer:

[tex]\frac{15x-5}{5x+6}[/tex]

Step-by-step explanation:

Given

f(x) = [tex]\frac{3x-5}{x+6}[/tex]

To evaluate f(5x) substitute x = 5x into f(x)

f(5x) = [tex]\frac{3(5x)-5}{5x+6}[/tex] = [tex]\frac{16x-5}{5x+6}[/tex]

Mario earns money mowing his neighbors' lawns.
The revenue for mowing x lawns is (X) = 25x.
Mario's cost for gas and the mower rental is (x) = 6x + 15.
His profit from mowing x lawns is p(x) = (r- c)(X). What is p(x)?
A. p(x) = 31x+15
B. p(x) = 19x - 15
C. p(x) = 19x+ 15
O D. p(x) = 31x- 15
SUBMIT

Answers

Answer:

His profit from mowing x lawns is 19x-15

Step-by-step explanation:

Revenue for mowing x lawns = 25x

Cost for gas and the mower rental = 6x+15

We are supposed to find His profit from mowing x lawns

p(x) denotes His profit from mowing x lawns

Profit = Revenue - Cost

So,p(x)=25x-(6x+15)

p(x)=25x-6x-15

p(x)=19x-15

So, Option B is true

Hence His profit from mowing x lawns is 19x-15

What is the value of x in the equation 2.5-0.25x=-3?
-22
-1.1
1.1
22

Answers

The value of X is 22

look at the attached picture

Hope it will help you

Good luck on your assignment

The value of x in the equation is 22.

What is the value of x?

In order to determine the value of x in the equation, take the following steps:

Combine similar terms: 2.5 + 3 = 0.25xAdd similar terms: 5.5 = 0.25xDivide both sides of the equation by 0.25: 5.5 / 0.25 = 22

To learn more about addition, please check: https://brainly.com/question/349488

Marie dreamed of chocolate, but it lacked $10. Vaso also dreamed of a chocolate, but he lacked $1. Children decided to buy at least one chocolate for two, but they still need $1. What is the cost of the chocolate?

Answers

Answer:

10$

Step-by-step explanation:

math

Answer:

10

Step-by-step explanation:

because i know

8. If Rocky Massimo's credit card has a $1,329.64 balance and he charged $528.44 in new purchases, what is the new
balance?
A $1,972.32
B $1,867.45
C$896.45
D$1,858.08
NEED ANSWERS

Answers

Answer:

D: $1,858.08

Step-by-step explanation:

if u add $1,329.64 and $528.44 then you get $1,858.08

At a cafe

2 teas + 1 coffee​ cost= £3.40

1 tea and 4 coffees cost=£7.30

Work out the cost of 1 tea and the cost of 1 coffee?


Step by step explanation​, pleaseeeee

Answers

Answer:

cost of 1 tea= £1.08

cost of 1 coffee= £1.24

Step-by-step explanation:

Please see the attached picture for full solution

The pieces on a chessboard are either white or black. Of the pieces remaining on a chessboard, the probability of randomly picking a white piece is 5/12 What is the probability of randomly picking a black piece?

A. 5/12
B. 1/2
C. 7/12
D. 2/3

Answers

7/12

12/12 is the total

So 12/12 minus 5/12 is 7/12

Correct me if I am wrong

What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, to the nearest tenths place?

Answers

Answer:

Step-by-step explanation:

volume of cylinder =[tex]\pi r^{2} h[/tex]

=3.14 * 2*2*8

=3.14*32

=100.48 cubic in

hope it helps .....

The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.

Calculation of the volume:

Since the height of 8in and a base radius of 2in,

So here the following formula should be used

We know that

Volume of the cyclinder

[tex]= \pi r^2h\\\\= 3.14\times 2\times 2\times 8\\\\[/tex]

= 100.48 cubic inches.

hence, The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.

Learn more about volume here: https://brainly.com/question/14010084

(1.3 x 10-2) (0.05) = ?

Answers

Answer:

=0.065x10−0.1

Step-by-step explanation:

(1.3x10−2)(0.05)

=(1.3x10+−2)(0.05)

=(1.3x10)(0.05)+(−2)(0.05)

=0.065x10−0.1

Answer: 0.55

Step-by-step explanation:

1.3 x 10= 13

13-2= 11

11  x 0.05= 0.55

BOOM! math.

Please help with this

Answers

Answer:

The answer would be D

Step-by-step explanation:

Answer:

D

The triangle moved 6 units right and one unit up.

Solve the inequality for x. –8x + 16 > –72 A) x 7 D) x > 11

Answers

Answer:

x < 11

Step-by-step explanation:

–8x + 16 > –72

Let's transfer the components which do not contain x to the right side and change sign of these components

-8x > -72 - 16

Now, we simplify the right side

-8x > -88

We then multiply both sides by (-1/8) and change the greater symbol to smaller symbol

(-1/8)*(-8)x < (-1/8)*(-88)

Finally, we simplify both sides to solve this inequality

x < 11

Hope this helps!

Which expression can be used to convert 100 USD to Japanese yen?

100usd[99.30487yen/1usd]


100usd[1usd/99.30487yen]


100usd[0.01007yen/1usd


100usd[99.30487usd/1yen]


Answers

Answer:

a. 100usd{99.30487yen/1usd}


Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.

What is the volume of the box?

192in³
275in³
37512 in³
425in³

Answers

425 cubic inches

Multiple the base (12.5) by the width (8.5) by the height (4)

Answer:

425 in.^3

Step-by-step explanation:

volume = length * width * height

Change all mixed numerals into decimals.

volume = 12.5 in. * 8.5 in. * 4 in.

Now use a calculator to multiply the three numbers together.

volume = 425 in.^3

3√81\125 simplyfy these

Answers

Answer:

[tex]\frac{27}{125}[/tex] or 0.216

Step-by-step explanation:

Assuming you meant 3 × (√81) ÷ 125 =

3 × 9 ÷ 125 =

27 ÷ 125 = [tex]\frac{27}{125}[/tex] = 0.216

A bolt is to be made 2.0 cm long with a tolerance of 4%. Set up an equation to solve for the shortest and longest bolt length. Show your original equation and the process used to find the shortest and longest bolt length.

Answers

Answer:

The equations are:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

Step-by-step explanation:

The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between [tex]2 + \frac{4}{100}*2[/tex] and [tex]2 - \frac{4}{100}*2[/tex] are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

Given: 22 and 24 are vertical angles
Prove: Z2 Z4

Answers

Answer:

Where is the picture?  Also, Im kinda confused

Step-by-step explanation:

Which of the following are solutions to the equation below?
Check all that apply.
6x2 - 2x + 36 = 5x2 + 10x
O A. 18
B. 4
C. 6
D. -6
O E. -3
F. -4

Answers

Answer:

B. 4

Step-by-step explanation:

Rearrange the equation so that is in the form (ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

Now, factor the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

The solutions to the equation are 4 and 9.  The correct answer choice is B.

Answer:

The answer B.4

Step-by-step explanation:

Arrange the equation so that is in the form

(ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

Which formula could be used to find the volume of a cube with side length equal to s?

s cubed
(6) (s squared)
s squared
(6) (s cubed)

Answers

Answer:

s cubed

Step-by-step explanation:

Formula for volume of a cube is side ^3

The volume of cube with side length s is s cubed.

What is cube?

A cube is a region of space formed by six identical square faces joined along their edges.

What is the formula for the volume of cube?

The volume of cube is defined as the total number of cubic units occupied by a cube.

The Formula for the volume of cube is given by

[tex]v = a^{3}[/tex]

Where, v is the volume of cube

and, a is the side of cube.

According to the given question we have

The side length of cube is s.

Therefore, the formula for finding the volume of cube is given by

volume of cube = [tex]s^{3}[/tex]

Hence, the volume of cube with side length s is s cubed.

Learn more about the volume of cube here:

https://brainly.com/question/27770332

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Oscar walked at the same rate for 10.5 miles. He
completed his walk in 3 hours. What was Oscar's
rate, in miles per hour, during his walk?

Answers

Answer:

Oscar walked at the same rate for distance D =  10.5 miles.

He  completed his walk in time T = 3 hours.

=>Oscar's rate, in miles per hour, during his walk:

R = D/T = 10.5/3 = 3.5 (mile/hour)

Hope this helps!

:)

10.5 divided by 3 = 3.5 (rate)

If you have how many miles he walked and the time he completed it in; you can just divide the miles by the time to get the rate of how fast he walked those miles. This is because you have an overall mile rate and time you just need to figure out how many miles per hour which is why you divide. Think of it as a ratio 10.5:3 vs 3.5:1. Try to get the right side of the ration down to 1 by dividing both sides by the right side.


Hope this helps, sorry I’m bad at explaining

Paul is looking at a detailed plan showing the layout of the extension with the new equipment, He knows the new oven will be 1.5 meters wide and on the plan it measures 7.5 centimeters.

What scale is used on the plan?

Answers

Answer:

Scale = 1/200 = 1 : 200

Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.

Step-by-step explanation:

Scale is the ratio of the original object to the drawn plan.

Scale = plan : original

Scale = plan length ÷ original length

Plan length = 7.5 centimeters

Original length = 1.5 meters = 1,500 centimeters

Substituting the values;

Scale = 7.5/1500 = 1/200

Scale = 1 : 200

Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.

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