What is the length h of the right triangle, rounded to the nearest tenth?

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

Step-by-step explanation:

You can find the amount of students each vehicle can carry by representing the two scenarios in equations.

You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.

High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.

High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.

Now, represent these in equations:

[tex]v+6b = 372\\4v + 12b = 780[/tex]

We can use substitution to solve this system:

[tex]v + 6b = 372[/tex] can be rewritten as [tex]v = 372 - 6b[/tex] after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":

[tex]4(372-6b) + 12b = 780\\1488 - 24b + 12b = 780\\1488 - 12b = 780\\-12b = -708\\b = 59[/tex]

After solving for b, you can then substitute the new value of b into the other equation to find the value of v:

[tex]v + 6(59) = 372\\v + 354 = 372\\v = 18[/tex]

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

Answer:

             Van: 18,  Bus: 59

Step-by-step explanation:

b   - number of students that bus can carry

v   - number of students that van can carry

6•b + 1•v = 372     -  students from A

6b + v = 372    ⇒  v = 372 - 6b

12•b + 4•v = 780     -   students from B

12b + 4(372 - 6b) = 780

12b + 1488 - 24b = 780

- 12x = - 708

   b = 59    

v = 372 - 6•59 = 372 - 354 = 18

Answer:

(squareroot2^2) times 27 (1/2)

Step-by-step explanation:

Answer:3z^2/9

Step-by-step explanation:

Answer:

14/38

21/57

Step-by-step explanation:

You just multiply by 2/2 and 3/3

Answer:

14/38

21/57

Step-by-step explanation:

7×2/19×2

= 14/38

7×3/19×3

= 21/57

These are rational numbers because they can be expressed in fractions.

Answer:

Hay 160 maneras

Step-by-step explanation:

Para calcular de cuántas maneras se puede seleccionar x elementos de un grupo de n elementos podemos usar la siguiente fórmula:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

Si vas a elegir 3 personas de entre 6 matrimonios y dos miembros de la misma pareja no pueden ser elegidos, entonces podemos decir que se está eligiendo 3 matrimonios y en cada matrimonio se está eligiendo un representante.

Entonces, podemos calcular de cuántas maneras se puede escoger 3 matrimonios de los 6, así:

[tex]6C3=\frac{6!}{3!(6-3)!}=20[/tex]

Adicionalmente, para cada uno de los 3 matrimonios hay 2 opciones para ser representantes. Esto significa que hay [tex]2^3[/tex] maneras de escoger representantes en cada una de las 20 formas calculadas anteriormente.

Por lo tanto se puede formar el grupo de 3 personas de 160 maneras diferentes:

[tex]20*2^3=160[/tex]

Answer:

The correct options are;

A. 120

B. 34

Step-by-step explanation:

The given parameters are;

Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order

Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows

When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other  digits is 24

Arrangement,                                              Number of ways

1, 2, 3, 4, 5, 6,                                               24

1, 4, 2,                                                            18

1, 4, 5, 2,                                                        12

1, 4, 5, 6, 2,                                                     6

4, 1, 2,                                                             18

4, 1, 5, 2,                                                         12

4, 1, 5, 6,                                                         6

4, 5, 1, 2,                                                         12

4, 5, 1, 4, 2                                                      6

4, 6, 5,                                                            6

Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways

The correct option is A. 120

2. The dimensions of the original rectangle = L by W

The dimensions of the lager rectangle = 1.5·L by 2·W

1.5·L × 2·W = 30

Given that L > W

∴ L×W = 30/(1.5 × 2) = 30/3 = 10

The possible integers that have a product of 10 are;

1 × 10 and 5 × 2

Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4

Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23

Therefore, the largest possible rectangle is 34

The correct option is B. 34.

Answer:

The correct options are;

A. 120

B. 34

Step-by-step explanation:

The given parameters are;

Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order

Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows

When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other  digits is 24

Arrangement,                                              Number of ways

1, 2, 3, 4, 5, 6,                                               24

1, 4, 2,                                                            18

1, 4, 5, 2,                                                        12

1, 4, 5, 6, 2,                                                     6

4, 1, 2,                                                             18

4, 1, 5, 2,                                                         12

4, 1, 5, 6,                                                         6

4, 5, 1, 2,                                                         12

4, 5, 1, 4, 2                                                      6

4, 6, 5,                                                            6

Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways

The correct option is A. 120

2. The dimensions of the original rectangle = L by W

The dimensions of the lager rectangle = 1.5·L by 2·W

1.5·L × 2·W = 30

Given that L > W

∴ L×W = 30/(1.5 × 2) = 30/3 = 10

The possible integers that have a product of 10 are;

1 × 10 and 5 × 2

Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4

Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23

Therefore, the largest possible rectangle is 34

The correct option is B. 34.

Answer:

3/4

Step-by-step explanation:

The slope of the line is given by

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

   = (6-3)/(0 - -4)

  = (6-3)/( 0+4)

   3/4

Hi there! Hopefully this helps!

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

Question A answer: 2.

To find the median, you simply need to order the set from lowest to highest and finding the exact middle. So it should look like this:

0, 1, 2, 3, 4. So 2 is the median, therefore 2 is the answer to Question A.

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

Question B answer: 2

To find the mean, you have to add all of the numbers together and then you have to divide by the number of items in the set. There are 5 numbers in the set so it should look like this:

0 + 1 + 2 + 3 + 4 = 10.  

Since there 5 numbers in the set, we need to divide by 5.

10 / 5 = 2.

Therefore, 2 is also the answer to Question B.

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

Edit: Whoops, sorry for the explanation...

Answer:

Question a answer: 2

Question b answer: 2

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

√(49/81)

Distribute the square root to both the numerator and denominator.

√49/√81

Solve the square root.

√49 = 7

√81 = 9

7/9

The solution to the square root of 49 divided by 81 is equal to 7/9.

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce that the following mathematical expression would represent the "the quotient for square root of 49 divided by 81;"

Expression: [tex]\sqrt{\frac{49}{81}}= \frac{7}{9}[/tex]

Expression: 7/9

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Answer:

[tex]\boxed{GJ = 76 \ degrees}[/tex]

Step-by-step explanation:

According to Angles of intersecting chords theorem:

∠GAJ = [tex]\frac{1}{2} (BD+GJ)[/tex]

Where ∠GAJ = 50 , BD = 24 and GJ = ?

50 = [tex]\frac{1}{2} (24+GJ)[/tex]

Multiplying both sides by 2

100 = 24 + GJ

GJ = 100-24

GJ = 76 degrees

Answer:

The first unit price ($0.30/balloon) beats the second ($0.32/balloon).

Step-by-step explanation:

4 packages of 15 balloons for $18 works out to 1 package of 15 balloons for $18/4, or $4.50.  That'd be

$4.50

---------------- = $0.30/balloon.

15 balloons

Next:  5 packages of 10 for $16 works out to 1 package of 10 for $16/5, or

1 package of 10 for $3.20.  That'd be

  $3.20

----------------- = $0.32/balloon

10 balloons

The first unit price ($0.30/balloon) beats the second ($0.32/balloon).

If Bella understands the math involved in finding unit costs and actually does the work prior to buying anything, then I'm comfortable with her buying habits.

Both deals are almost same.

We have a girl Bella who is buying balloons for a back to school celebration. She sees there are 4 packages of 15 balloons for $18 and 5 packages of 10 balloons for $16.

We want to know which is a better deal with appropriate reason. We have to morally investigate on the basis of our thinking whether or not Bella's buying habits are good or not.

The cost of 1 balloon will be =  [tex]\frac{x}{n}[/tex]  (in dollars)

Now, according to question -

Case 1 :

The total number of balloons are 15 x 4 = 60 balloons.

The cost of these 60 balloons is $ 18.

Cost of 1 balloon = [tex]\frac{18}{60}[/tex] = $ 0.3

Case 2 :

The total number of balloons are 10 x 5 = 50 balloons.

The cost of these 60 balloons is $ 16.

Cost of 1 balloon = [tex]\frac{16}{50}[/tex] = $ 0.32

It can be concluded that the both deals are almost same and i think that it is okay to spend a bit amount of money for a back to school party.

To solve more questions on unitary method, visit the link below -

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Answer:

[tex] \frac{2xz + 3xy}{5yz} \: seconds[/tex]

solution,

[tex]time = \frac{distance}{speed} [/tex]

Let race be X meters.

Total time taken:

[tex] \frac{40 \: percent \: of \: x}{y \: metre\: per \: second} + \frac{60 \: percent \: of \: x}{z \: metre \: per \: second} \\ = \frac{40}{100} \times \frac{x}{y} + \frac{60}{100} \times \frac{x}{z} \\ = \frac{2}{5} \times \frac{x}{y} + \frac{3}{5} \times \frac{x}{z} \\ = \frac{1}{5} ( \frac{2x}{y} + \frac{3x}{z} ) \\ = \frac{x}{5} ( \frac{2z + 3y}{yz} ) \\ = \frac{2xz + 3xy}{5yz} \: seconds[/tex]

hope this helps...

Good luck on your assignment...

Answer:

t= 0.2x (2/y + 3/z)

Step-by-step explanation:

Distance:

40% of the race= 0.4x

60% of the race= 0.6x

Speed:

y m/s at first part and z m/s at second part

Time:

time= distance/speed, it also consists on 2 parts due to different speed

t= 0.4x/y + 0.6x/z

or

t= 0.2x (2/y + 3/z) seconds is the answer

Answer: √5

- you’re welcome

Answer:

[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

well we use the distance formula

[tex]\sqrt{(4^{2}+(-4)^2 )+(3^2+(-3)^2)}\\ =\sqrt{32+18} \\=\sqrt{50}\\ =5\sqrt{2}[/tex]

so that's the length of the radius

The length of the radius of a circle whose center is at (3,4) and passes through (-3,-4) is given by 10 units.

Radius of circle is the fixed distance between center and any point lies on the circumference of the circle.

Two distance between two points (a,b) and (c,d) is given by [tex]=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Here in the given problen we have to find the length of the radius of a circle whose center is at the point (3,4) and passes through the point (-3,-4).

So basically we have to find the length between the points (3,4) and (-3,-4).

The radius of circle is given by

[tex]=\sqrt{(-3-3)^2+(-4-4)^2}[/tex]

[tex]=\sqrt{(-6)^2+(-8)^2}[/tex]

[tex]=\sqrt{36+64}=\sqrt{100}=10[/tex]

Hence the length of the radius of the circle is given by 10 units.

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Answer:

f(x) = x² - 6x

g(x) = (x³)² = x^6

( f o g) x

Wherever you see x in f(x) replace it by g(x)

That's

( f o g)(x) = (x^6)² - 6(x^6)

= x^12 - 6x^6

Hope this helps

Answer:

the value of n will be the range

Step-by-step explanation:

lets just give an example of (9,n) and you had to find the value its actually simple

9 is the domain

n is the range

a part of ordered pair function

got it?

Answer:

Step-by-step explanation:

Let the three numbers be a-d, a, a+d being a series in AP.

The sum of the three numbers is 24 = a-d+ a+ a+d = 3a

Thus a = 8.

Now a-d-1, a-2, a+d form a GP. It means, the common ratios should be equal or the middle term should be the Geometric Mean of the first and third terms, or

(a-d-1)(a+d) = (a-2)^2 or

(8-d-1)(8+d) = (8-2)^2, or

(7-d)(8+d) = 36, or

56 -8d +7d -d^2 = 36, or

56 -8d +7d -d^2 - 36 = 0, or

d^2 +d -20 = 0

(d+5)(d-4) = 0

Thus d = -5 or 4

So the AP is 13,8,3 or 4,8,12

Check: 13,8,3 in AP becomes (13–1), (8–2), 3 = 12, 6, 3 which is a GP with r = (1/2)

4,8,12 in AP becomes (4–1), (8–2), 12 = 3, 6, 12 which is a GP with r =2

Answer:

this should help I guess pls tell me if it was wrong

Answer:

c. Corriente eléctrica.

Step-by-step explanation:

Cuando un campo magnético cambia en intensidad y alrededor de esa región se encuentra un conductor eléctrico, tal cambio en la intensidad induce una corriente eléctrica en ese conductor. Ese es el principio de los generadores de corriente o generadores eléctricos.  

Este principio es conocido como la Ley de Faraday de Inducción Electromagnética, estudiada por Michael Faraday (1791-1867) y es parte fundamental de la Teoría Electromagnética.

En líneas generales, este principio de Faraday y el hecho de que la variación de un campo eléctrico genere un campo magnético, principio descubierto por Hans Christian Oersted (1777-1851), y que sostiene que la variación de la corriente eléctrica en un conductor genere alrededor de éste un campo magnético (principio de los electroimanes), son complementarios y podría decirse que son los pilares de la Teoría Clásica del Electromagnetismo, cuyas leyes están descritas matemáticamente en las ecuaciones de Maxwell, llamadas así por James Clerk Maxwell (1831-1879), quien se basó principalmente en los resultados de Faraday para formularlas.

Answer: -1/1

Step-by-step explanation: The fraction, -1/1 or just -1, passes through the transactional point through the slope of the line, y=3x+5.

Answer:

5 units apart.

Step-by-step explanation:

You can figure this out by:

a- You can count the squares in between the two points.

                                               OR

b- You would find the absolute value of both the x  values and add them together to see the overall length from each other that they are.

So when you complete either one of these tactics you would get an answer of  5 units apart.

Answer:

1/2

Step-by-step explanation:

Here you utilize the formula of slope which is  m  = y2-y1/x2 -x1

(-1,5) (1,6)

(x1, y1) ( x2, y2)

m = ( 6-5)/ (1-(-1))

= 1/(1+1)

= 1/2

Answer:

1/2

Step-by-step explanation:

Answer: Linear

Step-by-step explanation:

Answer

Step-by-step explanation:

Materials

Water Bottles or Pop Bottles

Glow Sticks

Foam Sheets

Pipe Cleaners

Googly Eyes

Tissue Paper

Mod Podge

Hot Glue Gun

Instructions

Cut your tissue paper into strips and brush a layer of Mod Podge onto the center of your bottle.

Put the tissue paper strips onto the Mod Podge, wrapping it around the bottle. Brush on another layer of Mod Podge.

Once it's dry, wrap three pipe cleaners around the bottle and twist to form legs.

Cut 2 wings out of the foam and glue it to the top.

Place your glow stick inside the bottle.

Attach your googly eyes and twist another pipe cleaner around the neck of the bottle to form the antenna.

Answer:

5,6

Step-by-step explanation:

integers are set of positive and negative numbers. It does not have fraction in it.

Example.

.....- 4, -3, -2, -1,0, 1,2,3 ............

Thus we see integers are series of numbers with difference of 1.

Thus, if one integer is a

then next will be a+1

Given that

smaller of two consecutive integers is added to five times the larger the result is 35

larger integer = a+1

5 time larger integer = 5(a+1) = 5a +5

according to given situation

a+ 5a +5 = 35

6a = 35 - 5 = 30

=> a = 30/6 = 5

Thus, integers are

a = 5

a+1 = 5+1 = 6

Answer:

27

Step-by-step explanation:

76-49= 27

Answer:

the range is 27

Step-by-step explanation:

The range is the largest number minus the smallest number

76 - 49 =27

The answer would be x =7/5 because you would need to multiply everything by two. Then you would add 4+3 and you would end up with 5x = 7. After that, you need to divided both answers by five

Please Mark brainliest

Answer:

The answer is x=7/5

Step-by-step explanation:

because you have to multiply everything by 2 the add 4+3 and you end up with 5x=7 then divide both sides by 5

Step-by-step explanation:

84 = 2(l+b)

L+b = 84 / 2

L+b = 42

There fore..

Length is 42 and breadth is 42 - 8

Answer:

[tex] F(x) = |x|[/tex]

And we need to apply some transformations. The first part is hift 8 units left. And we need to do this:

[tex] F(x) = |x+8|[/tex]

Then we need to apply the second transformation Shift 3 units down. and we can do this:

[tex] F(x) = |x+8|-3[/tex]

Step-by-step explanation:

For this case we have the following function given:

[tex] F(x) = |x|[/tex]

And we need to apply some transformations. The first part is hift 8 units left. And we need to do this:

[tex] F(x) = |x+8|[/tex]

Then we need to apply the second transformation Shift 3 units down. and we can do this:

[tex] F(x) = |x+8|-3[/tex]

Answer:

100 degrees

Answer above is correct

180-80=100

The measure of the other supplementary angle is 100 degrees.

A supplementary angle are angles that add up to 180 degrees. For example 150 and 30 degrees are supplementary angles. This is because the sum of 150 and 30 degrees is 180 degrees.

In order to determine the valueof angle b, subtract 80 from 180.

Measure of angle b = 180 - 80 = 100

To learn more about supplementary angles, please check: https://brainly.com/question/2766460

Answer:

segment IG ≅ segment LJ

Step-by-step explanation:

Please refer to the attached image as per the triangles as given in the question statement.

[tex]\triangle HGI, \triangle JKL[/tex]

[tex]G\left(-3,1\right),\ H\left(-1,1\right),\ I\left(-2,3\right)[/tex]

[tex]J\left(3,3\right),K\left(1,3\right),L\left(2,1\right)[/tex]

Given that:

[tex]HI\cong KL[/tex] and

[tex]\angle I \cong \angle L[/tex]

SAS congruence between two triangles states that two triangles are congruent if two corresponding sides and the angle between the two sides are congruent.

We are given that one angle and one sides are congruent in the given triangles.

We need to prove that other sides that makes this angle are also congruent.

To show the triangles are congruent i.e. [tex]\triangle GHI \cong \triangle JKL[/tex] by SAS congruence we need to prove that

segment IG ≅ segment LJ

Let us use Distance formula  to find IG and LJ:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]IG =\sqrt{(-2+3)^2+(3-1)^2} =\sqrt5\ units[/tex]

[tex]LJ =\sqrt{(2-3)^2+(1-3)^2} =\sqrt5\ units[/tex]

Hence, segment IG ≅ segment LJ

[tex]\therefore[/tex] ΔGHI ≅ ΔJKL by SAS