A group of students are going on a field trip. if the group takes 3 vans and 1 car, 22 students can be transported. if the group takes 2 vans and 4 cars, 28 students can be transported. write and solve a system of equations to represent the situation. fill in the blanks to indicate the number if students that can fit in each van and car?

Answer:

x = {1/3, 0}

Step-by-step explanation:

•Triangle 1

#Find CD first use tan formula

tan(∅) = opposite / adjuscent

tan(45) = CD / 5

CD = 5 × tan(45)

CD = 5

•Triangle 2

#Now you can find AC use Pythagoras theorem (c = AC)

a² + b² = c²

4² + 5² = c²

16 + 25 = c²

41 = c²

c = √41

c = 6.4

so, AC is 6.4

#Give me brainliest ok? im tired writing all of this

Answer:

0 = 0 =>  Infinitely many solutions

Step-by-step explanation:

Answer:

Figure it out

Step-by-step explanation:

Answer:

Top left

Step-by-step explanation:

Look at the numbers it's going through. The x axis is the one going side to side, y is up and down

Answer

x=7

Step-by-step explanation:

I honestly forgot how to explain but my logic is that 43+137+137+43=360

so, x would equal 7

Answer:

47

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x−3(−44−23)=13

Step 1: Simplify both sides of the equation.

−4x+201=13

Step 2: Subtract 201 from both sides.

−4x+201−201=13−201

−4x=−188

Step 3: Divide both sides by -4.

−4x

−4

=

−188

−4

x=47

Answer:

10 cups

Step-by-step explanation:

4x2=8. 8+ the 2 cups in the beginning would be 10 cups.

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x+16=−18

Step 1: Subtract 16 from both sides.

x+16−16=−18−16

x=−34

Answer:

x=−34

Answer:

y= -3/4x-3

Step-by-step explanation:

m= -3/4

y-int.= -3

Answer:

Slope is 4/5

Step-by-step explanation:

The two points are (3,3) and (-2,-1)

The slope formula is Y2-y1 / x2-x1

So substituting in

-1-3/ -2 -3

-4/-5 = 4/5

You can check it by "walking" up 5 and over to the right 4 on the graph and see that it works.

Answer:

.0235294117647

Step-by-step explanation:

Answer:

0.02352941176

Step-by-step explanation:

the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:

24(5/6)x + 24(2) = 24(7/8)

the denominators will cancel out so you have:

4(5x) + 48 = 3(7)

do the multiplication:

20x + 48 = 21

fractions have been eliminated, and if you want to continue to solve:

20x = -27

x = -27/20

Answer:

(x-20)(x+3)

Step-by-step explanation:

Answer:

( x − 20)( x + 3)

Step-by-step explanation:

i did the test

Answer:

F and C

Step-by-step explanation:

None needed :)

F and C is the correct answer to the question

Answer:

f(x)=-5sin (1/3x)-2

Step-by-step explanation:

The formula of the function, where x is entered in radians is f(x) =  [tex]5sin(\frac{\pi x}{2})-2[/tex]

A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function

Given,

Midline is at (0,-2)

minimum point at [tex](\frac{3\pi }{2},-7)[/tex]

Therefore, the function is line with amplitude = -2-(-7)=5

No phase shift as intersection at 0.

Vertical shift is -2

Then,

f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Learn more about Sinusoidal function here

https://brainly.com/question/12060967

#SPJ2

Tax= $ 7,173.5

Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to

$ 77,100.

Tax for $ 31,850 is $ 4,386

Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over

25 % of $ 11,150= $ 2,787.5

Total Tax= $ 4386 + $ 2787.5= $ 7,173.5

Answer:

80p

if you are adding 4p every time you add a drink you will be adding 7  drinks therefore you have to do (7x4p) this will equal 28p then you have to add 28p to 52p

Hope this helps

Answer:

A  

0.8 foot × 1.2 feet

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

A line with an undefined slope will be a vertical line.

This means the equation of the line will be in x = form, because the line will only go through one x value.

Since the given point has the x value of 9, this means the line will only go through that value.

So, the equation of the line will be x = 9

Answer:

20(y-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

As per above info we get following equations:

Substitute s and solve for d:

Get rid of fraction by multiplying all terms by 3d(d + 2):

Find s:

The answer is

Answer:

If by the 7x2 you mean 7x² it will be

10x²-13x+2

Respuesta. La probabilidad de sacar um 3 seria de 16.66% osea un sexto ,de sacar un numero par es de tres sexto osea del 50% y de sacar un numero impar es de tres sexto osea 50% igual ke los pares y de sacar un numero menor k 7 es de 6 sobre 6 osea 100%.

El valor uno corresponde al suceso seguro: lanzamos un dado al aire y la probabilidad de que salga cualquier número del 1 al 6 es igual a uno (100%). El resto de sucesos tendrá probabilidades entre cero y uno: que será tanto mayor cuanto más probable sea que dicho suceso tenga lugar.

Answer:

5.1* 10-¹

Hope it helps thank you

Answer:

5.1 x 10^-1

Step-by-step explanation:

Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.

Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.

Answer:

the lengths of sides are 8 and 6.

Step-by-step explanation:

Let us denote side lengths of the parallelogram as x and y.  

Then first condition can be written as x/y=3/4.

Second condition can be written as 2x+2y=28.

We can multiply both sides of the first equation by y and get x=(3y)/4.

Now we have x expressed in terms of y. It is convenient because we can substitute x in the second equation:

2(3y/4)+2y=28  

And we can solve it for y.

1.5y+2y=28

3.5y=28

y=8

What is left is to find x. We may use the expression for x again: x=(3*8)/4=6

Ans: the lengths of sides are 8 and 6.