The 240 ninth-graders at a high school are divided into homeroom groups of 10 or 12 students. This equation models the
situation, where x represents the number of 10-student groups and y represents the number of 12-student groups:
10x +12y = 240.
? Question
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
The x-intercept is located at ( ,0).
The y-intercept is located at (0, )
The slope of the line represented by this equation is[ ]

Answers

Answer 1

Answer: The X intercept is located at (24,0) The Y intercept is located at (0,20)

The slope of the line represented by this equation is -5/6

Step-by-step explanation:

Answer 2

The x-intercept is located at (24, 0).

The y-intercept is located at (0, 20)

The slope of the line represented by this equation is (-5/6).

We have,

Equation:

10x + 12y = 240

This can be written in the slope-intercept form.

y = mx + c

Where m is the slope and c is the y-intercept.

Now,

10x + 12y = 240

12y = 240 - 10x

12y = -10x + 240

y = (-10/12)x + 240/12

y = (-5/6)x + 20

Now,

The y-intercept is 20.

This is when x = 0.

And,

The x-intercept is when y = 0.

0 = (-5/6)x + 20

(5/6)x = 20

x = 4 x 6

x = 24

And,

The slope is (-5/6)

Thus,

The x-intercept is located at (24, 0).

The y-intercept is located at (0, 20)

The slope of the line represented by this equation is (-5/6).

Learn more about the equation of a line here:

https://brainly.com/question/23087740

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Related Questions

b)simplify the expression
7x2 + 4x – 2 + 8x2 – 9x – 5

Answers

Answer:

=25x-7

Step-by-step explanation:

How to solve this problem because I have no clue in what I’m doing here plz help

Answers

Answer:

Step-by-step explanation:

Be cool

#6: At the end of March, a computer company has a net worth of
-$18,684. By the end of December of the same year, the company's net
worth had increased by $34,712. What was the company's net worth at
the end of December? *
$16,028
$-16,028
$53,396
-$53,396

Answers

Answer:

$16,028

Step-by-step explanation:

take $34,712 and add -$ 18,684

Which numbers are rational?
-8 , 6 , 0 , 19/8 , 4.35 , 7/4

Answers

Answer:

-8, 6, 0, 19/8, 4.35, 7/4 all of them

Step-by-step explanation:

hope this helps! :)

Help plsssss!!!!!!!!!!!!!

Answers

Answer:

The second option

Step-by-step explanation:

GIVING BRAINLIEST!!!!

How many solutions exist for the given equation?

1/2(x+12)=4x-1 (1/2 is one half)


zero

one

two

infinitely many

Answers

Answer:

Two

Step-by-step explanation:

there is TWO sulotions!!!

What is the slope of the two points (-2,7) and (4,-8)

Answers

Answer:

-15/6

Step-by-step explanation:

If you look at the first number in each point, the x coordinate, you see the 2nd point is 6 forward from the 1st point. Now the 2nd number is the y coordinate, and you can see it goes down 15 from the 1st coordinate. So y/x is the slope.

Answer: -2 1/2

Step-by-step explanation:

Slope= Yb-Ya/Xb-Xa

In this case= (-8-7)/(4- -2)

This equals -15/6

Simply to -2 1/2

Which correctly applies the distributive property to show an equivalent expression to (–2.1)(3.4)? (2)(3) – (0.1)(0.4) (–2)(3) + (–0.1)(0.4) (2.1)(3) – (2.1)(0.4) (–2.1)(3) + (–2.1)(0.4)

Answers

Answer:

d i hope

Step-by-step explanation:

good

Answer:

I think it is c

Step-by-step explanation:

hope this helps

Find the measures of the sides of triangle DEF, then classify it by its sides. YOU MUST SHOW WORK TO GET CREDIT!

D(-2, 3), E(5, 5), F(-4, 10)

Answers

Answer:

FE = 10.30

ED = 7.62

FD = 7.28

Step-by-step explanation:

First, use coordinate system to draw a square that each angle of triangle reach the sides of the square, then use Pythagoras theory to find the length of the sides(c^2=a^2+b^2)

FE = root(9^2+5^2) = root(106) = 10.30

ED = root(3^2+7^2) = root(58) = 7.62

FD = root(2^2+7^2) = root(53) = 7.28

4) Find the LCM of 20 and 9​

Answers

180 is the least common multiple.

Answer:

least common multiple is 180

Bobby and his brother had 3/4 of a pizza leftover after dinner. Their father came home and are 1/2 of the leftover pizza .how much pizza did their father eat

Answers

Answer:

3/8 of the pizza

Step-by-step explanation:

3/4*reciprocal of 2

3/4*1/2

3/8

3/8

3/4÷1/2= 0.375

0.375= 3/8

A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep it out , and then pull out another one .

What is the probability of getting a yellow rock and then a n orange rock ?

Answers

Answer:

[tex]Probability = \frac{7}{253}[/tex]

Step-by-step explanation:

Given

[tex]Orange = 7[/tex]

[tex]Green = 6[/tex]

[tex]White = 1[/tex]

[tex]Black = 7[/tex]

[tex]Yellow = 2[/tex]

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

[tex]P(Yellow) = \frac{n(Yellow)}{Total}[/tex]

[tex]P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}[/tex]

[tex]P(Yellow) = \frac{2}{23}[/tex]

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

[tex]P(Orange) = \frac{n(Orange)}{Total - 1}[/tex]

[tex]P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}[/tex]

[tex]P(Orange) = \frac{7}{22}[/tex]

The required probability is calculated as thus:

[tex]Probability = P(Yellow) * P(Orange)[/tex]

[tex]Probability = \frac{2}{23} * \frac{7}{22}[/tex]

[tex]Probability = \frac{14}{506}[/tex]

[tex]Probability = \frac{7}{253}[/tex]

Answerr plsss. whooop whoop

Answers

The answer is 75 (:

How do you solve this absolute value equation ?

|x + 7| = 3x - 5

Answers

Hope this helps :) X=6

Answer:

x=6

Step-by-step explanation:

x+7=3x-5

add 5 to both sides

x+12=3x

subtract x from both sides

12=2x

divide by 2 on both sides

6=x

Determine the zeros or roots of each function or equation. You can use the quadratic equation if you need to.

f(x)=-8x^2+2x+1

Answers

-1/4, 1/2

step by step explanation:

PICTURE PROVIDED JUST TELL ME IF IT IS A FUNCTION AND WHY

Answers

Answer:

This is a function because the Y values do not repeat.

What value of x makes this equation true? 2(4x-3) - 8= 4+2x​

Answers

Answer:

What value of x makes this equation true? 2(4x-3) - 8= 4+2x​  HERE YOU GO!!

Step-by-step explanation:

We need to eliminate one of the variables to solve the other.

 

4x+5y = 8

2x-3y = 18

I will multiply the second equation by -2.

 

-2*(2x-3y = 18)

-4x + 6y = -36 and then add the two equations

 

4x + 5y = 8

-4x + 6y = -36

+ adding here

11y = -24

y = -24/11

substitute x in one of the equations to find y.

2x-3y=18

2x - (3*-24/11) = 18

2x = 126/11

x = 126/22

what is the total area of the three triangle ?​

Answers

Answer b. 13 square units

Given: -4x + 2y = 8
Prove: y = 4 + 2x​

Answers

Answer:

Step-by-step explanation:

-4x+2y=8

2y=8+4x

y=[tex]\frac{8+4x}{2}[/tex]

y=[tex]\frac{2(4+2x)}{2}[/tex]

y=4+2x  

proved

help pleaseeeeee thanks .


is-2 a solution of the inequality -2x+5__> 9 ?

Answers

Answer:

Yes

Step-by-step explanation:

-2 plugged into x would give you 4 then 4 + 5 is 9

Please answer this (:

Answers

Answer:

= -1 1/6

Step-by-step explanation:

Hope this helps (:

Look at the attachment

Pls I really need help

Answers

Answer:

Greater

Step-by-step explanation:

Greater
Because if you do 86,500 minus 26,375 then you get 60, 125 which is greater than 60,000

REFLECT - How many triangles and how many rectangles are in a net for a right triangular
prism? How do you know?

Answers

Answer:

2 triangles and 3 rectangles

Step-by-step explanation:

Because all triangular prisms have 2 triangle faces and 3 rectangle faces

I’m unsure on this one

State the domain of f•g. Then find f•g, including any additional restrictions necessary on the domain of the composition

Answers

Answer:

Answer is option A

Step-by-step explanation:

The required function [f o g(x)] is -7/√(x + 3).

The domain of the function  [f o g(x)] > - 3.

What is a function?

A function is  the relation between two sets. The first one is called domain and the second one is called range.

Given, f(x) = - 7/x

g(x) = √(x + 3)

Therefore, f o g(x)

= f[g(x)]

= f[√(x + 3)]

= -7/√(x + 3)

Now, the domain of f o g(x) > - 3.

Learn more about a function here: https://brainly.com/question/12396459

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PLEASE HELP MEEE!! 10 points

Answers

Answer:

Slope=3/2

Slope=rise/run

Graphing this you go up 3 and to the right 2

Y-intercept= 9

Slope intercept form= 3/2x+9

which means the y-intercept is 9

(x/x+1) - (2x+1)? how do i do this people?

Answers

Answer:

x=1

Step-by-step explanation:

Suppose that a recent poll found that 50 ​% of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral​ values, complete parts​ (a) through​ (e) below.

Answers

Answer: 3.75

Step-by-step explanation:

P=0.50, n=15

np= 0.5x15 gives 7.5

n(1-p)= 15x(1-0.5)=7.5

Both are greater than 5

Then Mean, u=np;15x0.5=7.5

Standard deviation, √np(1-p)

15x0.5(0.5)= 3.75

Which of the following expressions is modeled on the number line?

Answers

Answer:

2 x 3

Step-by-step explanation:

Since it starts at and goes right twice in intervals of 3, you can conlude that the answer would be 2 x 3 because it corresponds with the previous numbers stated.

5x + 8 - 7x = -4x + 1
Choose 1 answer:
А
No solutions
Exactly one solution
Infinitely many solutions

Answers

Step-by-step explanation:

5x+8-7x=4x+1

5x+7x-4x=8+1

8x=9

Which of these ordered pairs is a solution of 3x−y=12? Choose all that apply.

Answers

Answer:

(0,-12)

Step-by-step explanation:

so you can get a app to graph it or graph it your self but that is the answer

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