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Answer:

each van carries 7 students

each bus carries 60 students

Step-by-step explanation:

let v = # students in a van

let b = # students in a bus

system of equations:

13v + 2b = 211

4v + 4b = 268

I multiplied the 1st equation by -2 to eliminate the 'b' terms

 -26v - 4b = -422

+ 4v  + 4b = 268

-22v = -154

v = 7

substitute  '7' for 'v':

4(7) + 4b = 268

28 + 4b = 268

4b = 240

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

Step-by-step explanation:

Let v = number of students in each van.

Let b = number of students in each bus.

High School A:

13v + 2b = 211

High School B:

4v + 4b = 268

The system of equations is

13v + 2b = 211

4v + 4b = 268

We will solve this system of equation with the addition method.

Write the first equation as it is. Divide both sides of the first equation by 2 and write it below the first equation. Then add the equations.

        13v + 2b = 211

(+)     -2v - 2b = -134

----------------------------

        11v         = 77

Divide both sides by 11.

v = 7

Substitute 7 for v in the first original equation and solve for b.

13v + 2b = 211

13(7) + 2b = 211

91 + 2b = 211

Subtract 91 from both sides.

2b = 120

Divide both sides by 2.

b = 60

Answer:

13v + 2b = 211

4v + 4b = 268

#students each VAN can carry:   7

#students each BUS can carry: 60

Volume = (edge)^3

Let V = Volume of cube

V = 1_1/2 • 2 • 1_1/2

V = 9/2

Answer: 4.5

:) 1.5 x 1.5 x 2 = 4.5

Answer:

The answer is B

Step-by-step explanation:

Divide the distance by the time.

Answer:

I DUNNO

Step-by-step explanation:

Answer:

0.52

Step-by-step explanation:

2/100=0.02, and 5/10=0.5. 0.5+0.02=0.52

Answer:

7x-10

ye that's it

Answer:

7x−25 is the awnser !! Your welvome

Answer:

£8297.29

Step-by-step explanation:

£22 000 x 0.85 to the power of 6=£8297.29

Answer:

p = 2y - 2e

Step-by-step explanation:

Eliminate the fraction by multiplying all terms by 2:

2( y−p/2=e) = 2y - p = 2e

Now subtract 2e from both sides, obtaining:  2y - 2e = 0.

Finally, add p to both sides:  p = 2y - 2e

Answer:

Step-by-step explanation:

1.5 , 3 , 4.5 , 6  ............

This is an arithmetic sequence. Each term is obtained by adding 1.5 to the previous term.

First term = 1.5

Common difference = second term - first term

                                 = 3 - 1.5 = 1.5

Check:

Second term = 1.5 + 15 = 3

Third term = 3 + 1.5 = 4.5

Fourth term = 4.5 + 1.5 = 6

Answer:

[tex]\huge\boxed{3b-1}[/tex]

Step-by-step explanation:

[tex]\text{Combine like terms.}\\\\\\b+4+2b-5\\\\b+2b+4-5\\\\3b-1\\\\\text{The expression could not be simplified further.}\\\\\\\boxed{\text{The correct answer should be: } 3b-1}[/tex]

Hope this helps.

Answer:

y = 6(sq rt 3)

x = 18

Step-by-step explanation:

y = (0.5)(12)(sq rt 3) = 6(sq rt 3)

x = (0.866)(12)(sq rt 3) = (10.392)(sq rt 3) = sq rt 324

reduced

x = 18

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of x and y is 18 and 6√3 units respectively.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Let the side with label x be the base of the triangle and y be the perpendicular.

As the length of the base is x while the angle is 30°, and the length of the hypotenuse is 12√3, therefore, the value of x can be written as,

[tex]Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos (30^o)=\dfrac{x}{12\sqrt3}\\\\\\Cos (30^o) \times {12\sqrt3}={x}\\\\x = {12\sqrt3} \times \dfrac{{\sqrt3}}{2}\\\\x = 18[/tex]

Now, as we know that the length of the perpendicular side is y, therefore, the value of y can be written as,

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Sin (30^o)=\dfrac{y}{12\sqrt3}\\\\\\Sin (30^o) \times {12\sqrt3} ={y}\\\\\\y = \dfrac{1}{2} \times 12\sqrt3\\\\\\y = 6\sqrt3[/tex]

Hence, the value of x and y is 18 and 6√3 units respectively.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

Answer:

Step-by-step explanation:

The sum of these angles must equal 360 degrees.

x+63+55=360

x+118=360

x=242

Answer:

its A

Step-by-step explanation:

TRUST!

Answer:

Im not joing to give the answer because i have something simaler that im working on and im almost done but thats why i cant give it because i dont know it yet but i do know how to solve it.

Step-by-step explanation:

You multiply all the numbers once and then thats your answer!

Answer:

[tex]2\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24} \\= \sqrt{4} * \sqrt{6}\\= 2\sqrt{6}[/tex]

First find surface area.

I will skip the exact explanation and just go to it because well its the same concept as the prism.

π*6^2*2+6*2π*4

=72π+48π

=120π

Now we need to take 3.14 for pi getting about

120*3.14=376.8 square foot.

Now the total is 14318.4 dollars, so what's left is simple division.

14318.4/376.8=38

The metal cost 38 dollars per square feet :P

Answer:

y=-2/5x +8

Step-by-step explanation:

use y=mx+b      look at where the line intercepts with the y-axis and that is at 8 so that is your b. Then find two points and count how many down or up it is to get from the higher up point (i usually use the one that intercepts at the y-axis) to same line as the other point, in this case thats down two. Then count how many to the right it is and in this case it is 5. so since it went down thats -2 over 5 so then you just fill that into the y=mx+b   and you should get   y=-2/5x+8

Hope this helped!

ps. if this was right can you make it brainliest? thanks!

Is this your question?

-7(4-1r) = 14

-28+7r=14

7r=32

r=32/7

Answer:

LO  is parallel to MN

Step-by-step explanation:

Here we have a parallelogram, and we want to identify two segments that are parallel.

We can see that ON is parallel to LM

And LO is parallel to MN

Because this is a parallelogram (we know this because there is a 90° angle at N), the opposite sides are parallel.

So from this, we can see that sides ON and LM are opposite, then ON is parallel to LM

With the same reasoning, LO is parallel to MN.

If you want to learn more, you can read:

https://brainly.com/question/16701300

Answer:

56 cards

Step-by-step explanation:

If 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.

7x8=56

56 is the answer because if 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.

Step-by-step explanation:

why is my brainly sux lol due dude.ex

Answer:

The largest factor that can be pulled out of that expression is 20x, giving you 20x(x² - 2x + 4)

Step-by-step explanation:

20x³ - 40x² + 80x

= 20x(x² - 2x + 4)

Answer:

True

Step-by-step explanation:

At least that's what wiki says

Answer:

8%

Step-by-step explanation:

100% = 200apples

x = 16 apples

1600% apples = 200 apples x

200 apples. 200 apples

x = 8%

Answer:

8%

Step-by-step explanation:

200 x 0.08 = 16

Answer:

14in

Step-by-step explanation:

basta ganun hirap nun

Answer:

C. Biased, because she only asked students on honor roll.

Step-by-step explanation:

Since Mrs. Gilbert's goal was to find how many students that spent >4 hours and not how many students that earned Honor Roll that spent >4 hours, the data is biased. Choose C.