The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 6 buses with 564 students. High School B rented and filled 4 vans and 6 buses with 414 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Answer:

(1, 24 )

Step-by-step explanation:

Substitute any value of x into the equation and evaluate for y

x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then

(1, 24 ) is a a solution to the equation

Answer:

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Step-by-step explanation:

Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.

Enjoy your day! :D

Answer:

y= -13 x= -1

Step-by-step explanation:

y=6x+8

y=6(-3)+8

y= -21+8

y=-13

2=6x+8

-8=6x

-6=6x

x= -6/6= -1

Answer: domain and range is the set of values that we are allowed to plug into our function.

Step-by-step explanation:

Answer:

7 : 6 is the ratio

Step-by-step explanation:

14 apples were green and 12 apples were red, so divide both terms by 2.

14 ÷ 2 = 7

12 ÷ 2 = 6

Therefore:

14 : 12 = 7 : 6.

Answer:

x(2x-1)=0

3x-1x=0

2x=0

x=0/2

x=0

Step-by-step explanation:

LCM

first term =3x

=3×x

second term = 4x²y

=2×2×x×x×y

third term =x(x+1)

LCM=x

Answer:

djeuiiuhjjjcjffvgbftvkrfjjjjjrjrjrjjnnrnrf

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

To learn more about a triangle, please check: https://brainly.com/question/9329354

Answer:

5/2

Step-by-step explanation:

Y(2)-Y(1)/ X(2)-X(1)

(27-2)/(1-(-9)

25/10

simplified=5/2

Answer:

8 cans for 9$

Step-by-step explanation:

buy 8 cans for 9$

The 8 cans for $9 is better than six cans for $7.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We need to find better buy six cans for $7 or 8 cans for $9.

Let's find the unit rate of both the quantitites;

six cans for $7

Then one can = 7/6 = 1.16

Therefore, 8 cans for $9.

one can = 9/8 = 1.125

Hence, the  8 cans for $9 is better than six cans for $7.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

Apply the concept of:

a²+b²=c²

1. 5²+4²=c²

  25+16=c²

        c²=41

         c=6.4 (to nearest tenth)

Do the same for the other qns.

Answer:

A

Step-by-step explanation:

Hello there! :)

30*11*11

3,630

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

(–4)(9)

(6)(–6)

(6)(6)(–2)

Step-by-step explanation:

(–4)(–9)(2)

=36(2)

=72, No

(–4)(9)

=-36, Yes

(6)(6)(–2)

=36(-2)

=-72, Yes

(–6)(–6)

=36, No

(6)(–6)

=-36, Yes

Answer:

56 total units

Step-by-step explanation:

Here is what the plane would look like if the figure and points were drawn.

Answer:

Step-by-step explanation:

Plot the points and connect.

Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.

Horizontal sides sum to:

Vertical sides sum to:

The perimeter is:

Answer:

y-5=3(x-1)

Step-by-step explanation:

I hope it helped

Answer:

4s²

Step-by-step explanation:

The area is made up of four squares each of side s . The area of one square will be s*s = s² .

Hence the area of 4 such squares will be 4*s² = 4s²

Your choice is correct .

Answer: shoulb be to the thirs 4/8

Step-by-step explanation:

Answer:  [tex]y < -\frac{1}{2}x+3[/tex]

This is the same as writing y < (-1/2)x+3

==============================================================

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing [tex]y = -\frac{1}{2}x+3[/tex]

We shade below the dashed line to represent the inequality [tex]y < -\frac{1}{2}x+3[/tex]. Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

Answer: where is the question??

what do you need help with?

[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]

[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]

[tex]\\ \sf\longmapsto 5sinx=1[/tex]

[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto sinx=0.2[/tex]

[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]

[tex]\\ \sf\longmapsto x=11.53[/tex]

Answer:

a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

First Triangle, this is a 45-45-90 triangle

so the side are 1-1-√2

so if one of the side is 3, you multiply the above by 3

1*3-1*3-√2*3

therefore, a=3√2

Second triangle

this is a 30-60-90 Triangle

so the sides are x-x√2-2x

for this triangle

x√2=6

x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator

x=6√2/4 --> simplify

x=[tex]\frac{3\sqrt{2}}{2}[/tex]

therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

96 cm^3

Step-by-step explanation:

multiply the three dimensions: 4*6*4=96

Answer:

V=l×W×h

=4cm×6cm×4cm

=96cm cubic

Answer:

Jocelyn = 8 Miles an Hour

Micheal-Anthony = 6 Miles a Hour

Jocelyn Run Faster than Micheal-Anthony.

Step-by-step explanation:

Important information:

Michael-Anthony runs 3 Miles in 20 Minutes.

Jocelyn Runs 4 Miles in 30 Minutes.

Continues at pace for 1 Hour.

Questions that Need to be Answer:

How many miles does each person each person run in an hour?

Who runs faster?

Explanation/Solution:

So, We know that 1 Hour = 60 Minutes and three 20 minutes equal 60 Minutes also known as 1 Hour..

Since, three 20 minutes equal 1 Hour that means

Micheal-Anthony Run 6 Miles a Hour adding the 20 Minutes equal 9 Miles

Hence, Micheal-Anthony Run 9 Miles..

We know that 1 Hour = 60 Minutes and two 30 Minutes equal 60 Minutes also known as 1 Hour..

Since, two 30 Minutes equal 1 Hour that means

Jocelyn Run 8 Miles a Hour adding the 30 Minutes equal 12 Miles

Hence, Jocelyn Run 12 Miles..

For these Reason, You can tell that Jocelyn Run 8 Miles an Hour and Micheal-Anthony Run 6 Miles a Hour and Jocelyn Run Faster than Micheal-Anthony.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{17}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Answer:

3.25

Reasoning:

[tex]\frac{6.5}{2}[/tex]

[tex]3.25[/tex]

Answer:490

Step-by-step explanation: