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. How many students can fit in each van?

Answer:

Yes, PQR ~ TSV with a scale of 1 : [tex]\sqrt{3}[/tex]

Step-by-step explanation:

Yes the triangles are congruent for the statement given in option C

The scale 1 : [tex]\sqrt{3}[/tex] shows that the side lengths are proportional

PQ/TS = QR/SV

3[tex]\sqrt{3}[/tex]/6/[tex]\sqrt{3}[/tex] and that's simplified as 1/[tex]\sqrt{3}[/tex]

Answer:

B' - (3,1)

C' - (3,8)

D' - (6,-1)

Step-by-step explanation:

Part A: 23

Part B: 13

Part C: Median for the males

Mean for the females

Part D: The day the movie premiered

Process to arrive at the above answers

The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month

The known parameters

The 5 number summary in a are;

[tex]\begin{array}{lcc}\mathbf{Summary}&\mathbf{Males}&\mathbf{Females}\\\\Minimum &0&0\\First \ Quartile, \ Q_1&2&5\\Second \ Quartile, \ median, Q_2&20&7\\Third \ Quartile, Q_3&25&10\\Maximum &50&18\\Outlier&&46\end{array}[/tex]

Part A: The Inter Quartile Range, IQR = Q₃ - Q₁

For the males, we have, IQR = 25 - 2 = 23

Part B: The difference between the median values for the males and females is given as follows;

Difference between median = Q₂ Males - Q₂ Females

∴ Difference between median = 20 - 7 = 13

The difference between the median values for the males and females = 13

Part C:

The distribution of the data for the males is skewed left, with almost all the data in the first half

The better measure of center for the skewed data is the median, given

that three quarter of the data have values that are less than half of the

range of values in the data set, and that the median is close to the third

quartile, the mean will be located further towards the minimum value of

the data than the median

The distribution of the data for the females consists of the interquartile

range located approximately in the middle between the max and the min

values with the median being close to the first quartile, therefore, the

mean will be a better measure of center as it will be located further from

the first quartile and closer midway in the IQR

Part D;

The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered

Learn more about box plots here;

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Answer:

y^3+9y^2+27y+27

Step-by-step explanation:

Step 1: Start by understanding FOIL. First. Outer. Inner. Last.

Step 2: In this case we have three sets of parenthesis not 2. So we have to do the same thing but multiply 2 (y+3) sets by y and 3 instead of only multiplying y and 3 by one set.

Step 3: So we get y^3+6y^2+9y+3y^2+18y+27.

This simplifies to y^3+9y^2+27y+27

[tex]\\ \sf\longmapsto -5x+x+9=-4x+12[/tex]

[tex]\\ \sf\longmapsto -4x+9=-4x+12[/tex]

[tex]\\ \sf\longmapsto -4x+4x=12-9[/tex]

[tex]\\ \sf\longmapsto 0=3[/tex]

[tex]\\ \sf\longmapsto \Phi[/tex]

Answer:

i dont know

Step-by-step explanation:

ask sssniperwelperer562

THIS MIGHT NOT BE RIGHT CAUSE I'M SICK

Answer:

4%

Step-by-step explanation:

(8700 - 7500)/4 = 300

300/7500 = .04

Answer:

x=12

Step-by-step explanation:

LM + MN = LN

2x-16 + x-9 = 11

Combine like terms

3x-25=11

Add 25 to each side

3x-25+25 = 11+25

3x = 36

Divide by 3

3x/3=36/3

x = 12

Answer:

122

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior agnles

32+90 =x

122 =x

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

[tex] \bf \large \hookrightarrow \: \: x \: = \: 32 \degree \: + \: 90 \degree [/tex]

[tex]\bf \large \hookrightarrow \: \: x \: = \: 122 \degree[/tex]

Answer

25mm of rain fell each second

Step-by-step explanation:

we know that 500 mm fell in 20 minutes

so, we have to divide 500 by 20 giving us the amount of rain that fell each minute:

500/20 = 25

therefore, 25mm of rain fell each minute

hope this helped:)

Answer:

25 mm per minute

Step-by-step explanation:

Take the amount of rain and divide by the number of minutes

500/20

25 mm per minute

Answer:

89.1

Step-by-step explanation:

As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.

(If im wrong ill edit the answer.)

Explanation:

The notation [tex]a_1 = 10[/tex] says that the first term is 10.

The notation [tex]a_n = a_{n-1}+3[/tex] is the recursive rule that says "to find the nth term, we add 3 to the previous term". So we add 3 to each term to get the next one.

This sequence is arithmetic due to the common difference d = 3.

Answer:

Step-by-step explanation:

a1=10

a_{n}=a_{n-1}+3

n=2

[tex]a_{2}=a_{1}+3=10+3=13\\n=3\\a_{3}=a_{2}+3=13+3=16\\n=4\\a_{4}=a_{3}+3=16+3=19\\first~four~terms~are\\10,13,16,19[/tex]

Answer:

C. 2(x-3) (x-4)

Step-by-step explanation:

From my solution

The given expression is divisible by 2 all through

so 2 is factorised and then the other expression: x²-7x+12

can be factorised as a quadratic equation

-7x is same as -3x-4x

Also, [-3 * -4 = 12]

Answer:

720kWh

Step-by-step explanation:

36/.05=720

Step-by-step explanation:

0.15 as a Fraction in simplest form to convert 0.15 to a fraction and simplify to the lowest form.

Working:

0.15 = 15/100

So the simplest form is :

0.15 = 3/20

Answer:

16

Step-by-step explanation:

First use the Pythagorean theorem a^2+b^2=c^2.

12^2+b^2=20^2. Solve the exponents: 144+b^2=400. Then, subtract the 144 from 400. That would be 256. Therefore b^2=256. Then you find the square root of 256=16.

Step-by-step explanation:

using pythogoras theory

hyp^2=opp^2+adj^2

you have been given the hyp and the opp so lets make the unknown x

20^2=12^2+x^2

400 =144+x^2

make x the subject of the formula

400-144=x^2

266=x^2

x=the square root of 266

Answer:

28.

      megabyte- [tex]10^6[/tex]

      terabyte- [tex]10^{12}[/tex]

      gigabyte- [tex]10^9[/tex]

       For [tex]10^6, 10^9, 10^{12},[/tex] and [tex]10^{15}[/tex], put the 1, and add the exponent # of 0s.

29.

       The cube is 6×6×6   or    216 in. It would be 6³, because the 6 is multiplied 3 times.

30.

 a. 10

 b. 5120

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

Question 28

megabyte: 10⁶

terabyte: 10¹²

gigabyte: 10⁹

Question 29

6³

Question 30

a. 20

b. 5,120

Answer:

C

Step-by-step explanation:

5a + 18 < -27

5a < -45

a < -9

Graph C matches the solution set of this inequality.

Answer:

x=19°

Step-by-step explanation:

Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.

Right angles always add up to 90°.

So, Angle 1 add Angle 2 equals 90°.

4x+9+x-14=90°

Collect the like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

9-14= -5

Form an equation:

5x-5=90°

Do inverse operations to isolate x.

90+5=95°

95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).

So, x=19°

Hope this helps :)

Answer:

B. 11

Step-by-step explanation:

3  7  11  14  16  16  18  21  22  23  27

Answer:

1)-4x+4

2) C

3)E

4)A

Step-by-step explanation:

Hope it helps

Answer:  [tex]\sqrt{2}[/tex]

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

Explanation:

Rewrite each trig function terms of sine and/or cosine. Then use the unit circle to find that,

[tex]\cot(90^{\circ})\cos(45^{\circ}) + \sec(45^{\circ})\\\\\frac{\cos(90^{\circ})}{\sin(90^{\circ})}\cos(45^{\circ}) + \frac{1}{\cos(45^{\circ})}\\\\\frac{0}{1}*\frac{\sqrt{2}}{2} + \frac{1}{(\sqrt{2})/2}\\\\\frac{2}{\sqrt{2}}\\\\[/tex]

Now rationalize the denominator

[tex]\frac{2}{\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2*2}}\\\\\frac{2\sqrt{2}}{\sqrt{4}}\\\\\frac{2\sqrt{2}}{2}\\\\\sqrt{2}[/tex]

Which is the exact value of [tex]\sec(45^{\circ})[/tex]

The portion [tex]\cot(90^{\circ})*\cot(45^{\circ})[/tex] evaluates to 0 and goes away.

Answer:426m^2

Step-by-step explanation:

Answer:

The first table

x 3 4 6 1 7 8 1 2

y 5 9 3 2 7 6 4 5

1:-

[tex]\\ \sf \longmapsto 4+8r-6r=6+2r[/tex]

[tex]\\ \sf \longmapsto 4+2r=6+2r[/tex]

[tex]\\ \sf \longmapsto 2r-2r=6-4[/tex]

[tex]\\ \sf \longmapsto 0=2[/tex]

[tex]\\ \sf \longmapsto r=\infty[/tex]

2:-

[tex]\\ \sf \longmapsto 1-3x=-6+7-2x-x[/tex]

[tex]\\ \sf \longmapsto 1-3x=1-3x[/tex]

[tex]\\ \sf \longmapsto 0=0[/tex]

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

The formula is N×x power n-1

5x⁴+0

5x⁴

Answer:

1a. 104

1b. 8x

1c. 13y

1d. xy

1e. 3+y

1f. x+7

1g. x-y

1h. x divided by y

1i. x+3

1j. 3x

1k. y-5

1l. 1/5y

2a. 26

2b. x+9

Answer

A. dilation

Step-by-step explanation:

if we dilate the diagram it will be enlargedd so cannot be proved as congruent

The transformation that can not be used to prove that ABC is congruent will be dilation. The correct option is A.

Transformation a process by which one figure, expression, or function is converted into another one of similar value. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

When the triangle is rotated its original shape and size will not change it only changes its position then the triangle will remain congruent.

When the triangle is reflected it means that its mirror image is formed then the size and shape will again remain unchanged the triangle will be congruent.

When the triangle is translated then also its size will not change only it changes its position. The triangle will be congruent.

When the triangle is dilated it means that the shape of the triangle is increased or decreased then the triangle will not be congruent when it is dilated.

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