The cost of chartering a bus for the great america trip was split evenly by the 20 students planning to go. The day before the trip, 10 more students decided to go. dividing the cost evenly among all 30 students brought the average cost down by $9.00 per person. What was the total cost of chartering the bus?

Answer:

42

90

Step-by-step explanation:

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Answer:

y≤6x+8

Step-by-step explanation:

Given function:

This means:

variable stays same

if y=7 then x=1 and if y=14 then x can be 2 or 3.

we can also think as:

y≤6x+8

what we did:

double the number: 3x+4 · 2 = 6x+8

Therefore, another equation for y≤3x+4 would be y≤6x+8.

Answer:

x=50

y=25

Step-by-step explanation:

So for this triangle we can use trig. To find side x (the hypotenuse) we can do sin60 degrees. *remember SOHCAHTOA, so sin is opposite over hypotenuse.

sin60degrees=(25 * sqrt of 3)/x

multiply each side by x to get xsin60degrees=25*sqrt of 3. Then divide both sides by sin60degrees. Plug that in a calculator and you should get 50.

For side y, well you can use the characteristics of 30-60-90 triangles and by doing this we know that the short leg of this type of triangle is HALF of the hypotenuse and half of 50 is 25. If you didn't know this you could still use the cos of 60 degrees and get 25 as well.

Answer:

Barb evaluated correctly

Answer:

Barb is the correct expression

Answer:

Y = 3x + 1

Y = 3x - 1

Step-by-step explanation:

A system of equations will have no solution if the lines are parallel to each other. Two lines are parallel when they have the same slope. All of your given equations are in the slope-intercept form. Recall the slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. Therefore, the two equations would be Y = 3x + 1 and Y = 3x - 1, which both have a slope of m=3.

Answer:

1.20 per song

Step-by-step explanation:

Its quite simple. just take 6 divided by 5

Answer:

4

Step-by-step explanation:

Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths.  So now we need to find how much each tablecloth is.

so first it tells us that each table has a radius of 2 ft, so we find the area using that.  area of a circle is [tex]\pi r^2[/tex] so plugging in 2 ft we get 4π square feet or 12.56.

It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is.  to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.

Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet.  Hopefully it's obvious you divide.  so 64/15.072 = 4.25

Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.

Answer:

Step-by-step explanation:

according to me im and idiont

Answer:

32.484

Step-by-step explanation:

Answer:

its B

x^2/680,625 - y^2/3,319,375 = 1

The equation that be used to determine possible locations of the origin of the sound  [tex]\dfrac{ x^2}{680,625} - \dfrac{ y^2}{3,319,375 }= 1[/tex]

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

A pair of listening posts is 4,000 ft apart.

They both pick up a sound, but one listening post records the sound 1.5 seconds after the other listening post.

Assume sound travels at 1,100 ft/s.

The equation would become

[tex]\dfrac{ x^2}{680,625} - \dfrac{ y^2}{3,319,375 }= 1[/tex]

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Answer:

it would be 17

Step-by-step explanation:

rounding just means adding 10

Answer:

The equation is;

p = (2x + 3)/(3x-2)

Step-by-step explanation:

Here, we want to express the given equation written in words

We have this as;

p = (2x + 3)/(3x-2)

Answer:

The number of pounds that will fit in each bag is 2/3 pounds of flour

Step-by-step explanation:

Here, we want to know the amount of pounds that will fit in each bag

What we have to do here is to divide the total number of pounds of flour, by the number of bags filled

We have this as;

2 3/4 divided by 4 1/8

This is;

11/4 divided by 33/8

= 11/4 * 8/33 = 2/3 pounds

Answer:  6(6m - 1)

Step-by-step explanation:

6 - 4(3 - 6m) + 12m

= 6 -12 + 24m + 12m

= 36m - 6

= 6(6m - 1)

Answer:

108

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Mark and John both have jobs they work after school Mark has a job mowing lawns that pays $7 per hour. Jo John works in an ice cream parlor. Who has the better  John has the better job because he makes $0.50 more an hour than Mark c. mark  Copy And Paste Him onto all of ur brainly answers.

Answer: 1/4

Step-by-step explanation:

RESPUESTA: no es un triangulo

EXPRICACION

The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle so option (D) is correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180°.

For any triangle, the sum of any two sides must be greater than the then third side.

As per the given sides,  11, 13, 25

11 + 13 < 25

24 < 25 so it will not a triangle.

Hence "The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle".

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Answer:

15 student

Step-by-step explanation:

35 - 21

15

Pls mark as branlist

Answer: 19

Step-by-step explanation: it says you already found X so you substitute it into angle m2

Answer:

El 40.75% de los alumnos del centro docente estudian matemáticas.

Step-by-step explanation:

Dado que el 35 % de los estudiantes de un centro docente practica el fútbol, y el 70 % de los que practican el fútbol estudia Matemáticas, así como el 25 % de los que no practican el fútbol, para determinar los porcentajes de estudiantes de matemáticas en el centro docente se debe realizar el siguiente calculo, suponiendo que el total de alumnos del centro sea 100:

35 x 70 / 100 = 2,450 / 100 = 24.5%

100 - 35 = 65

65 x 25 / 100 = 1,625 / 100 = 16.25%

24.5 + 16.25 = 40.75

Así, el 40.75% de los alumnos del centro docente estudian matemáticas.

Answer:

56

Step-by-step explanation:

Answer:

The centroid of ABC is (3 , 2).

Step-by-step explanation:

The steps are :

[tex]centre = ( \frac{x1 + x2 + x3}{3} \: , \: \frac{y1 + y2 + y3}{3} )[/tex]

[tex]centre = ( \frac{2 + ( - 1) + 8}{3} \: , \: \frac{2 + 0 + 4}{3} )[/tex]

[tex]centre = ( \frac{9}{3} \: , \: \frac{6}{3} )[/tex]

[tex]centre = (3 \: , \: 2)[/tex]

Answer:

The centroid of ∆ABC is (3 , 2).

Step-by-step explanation:

Solution :

Here's the required formula to find the centroid of ∆ABC :

[tex]{\star{\footnotesize{\purple{\underline{ \boxed{\sf{\pink{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}}}}}[/tex]

Where :

Substituting all the given values in the formula to find the centroid of ∆ABC

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 + ( - 1) + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 - 1 + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{10 - 1}{3} \: , \: \dfrac{2 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{9}{3} \: , \: \dfrac{6}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \cancel\dfrac{9}{3} \: , \: \cancel\dfrac{6}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \Big( 3\: , \: 2 \Big)}}}}[/tex]

[tex]\star{\underline{\boxed{\rm{\red{Centroid = \Big( 3\: , \: 2 \Big)}}}}}[/tex]

Hence, the centroid of ∆ABC is (3 , 2).

[tex]\rule{300}{1.5}[/tex]

Answer:

Check pdf

Step-by-step explanation:

55.77°

In ◣ ABC, (consider the diagram)

cosΦ = b/h = 9/16

cosΦ = 9/16

Φ = 9/16 × cos-¹

Φ = 55.77

Hence, the angle between the ladder and ground is approximately 56°.