Ms. Smith’s class raised $525.50 to go on a field trip. They rented a bus for $300 and budgeted $22.75 per student for meals. They will spend all the money they raised.

Write and solve an equation that models this situation and could be used to determine the number of students that can go on this trip.

Answer:

[tex] 2 \frac{3}{5} [/tex]

Step-by-step explanation:

13 = 5 + 5 + 3

[tex] \dfrac{13}{5} = [/tex]

[tex] = \dfrac{5 + 5 + 3}{5} [/tex]

[tex] = \dfrac{5}{5} + \dfrac{5}{5} + \dfrac{3}{5} [/tex]

[tex] = 1 + 1 + \dfrac{3}{5} [/tex]

[tex] = 2 \frac{3}{5} [/tex]

Answer:

[tex]2\frac{3}{5}[/tex]

The fraction consists of two numbers and a fraction bar: 13/5 The number above the bar is called numerator: 13 The number below the bar is called denominator: 5 The fraction bar means that the two numbers are dividing themselves. To get fraction's value divide the numerator by the denominator: Value = 13 ÷ 5

To calculate the greatest common factor, GCF: 1. Build the prime factorizations of the numerator and denominator. 2. Multiply all the common prime factors, by the lowest exponents. Factor both the numerator and denominator, break them down to prime factors: Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 13 is a prime number, it cannot be factored into other prime factors; 5 is a prime number, it cannot be factored into other prime factors; * Positive integers that are only dividing by themselves and 1 are called prime numbers. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself. Multiply all the common prime factors, by the lowest exponents. But, the numerator and denominator have no common factors. gcf (13; 5) = 1Fraction 13/5 is a positive improper fraction (numerator > denominator).Mixed number = a whole number and a proper fraction, of the same sign. Proper fraction = numerator smaller than denominator.

13 ÷ 5 = 2 and remainder = 3 =>

13 = 2 × 5 + 3 =>

13/5 =

(2 × 5 + 3) / 5 =

2 + 3/5 =

2 3/5

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $1,800

Number of periods (t)= 6 months

Monthly interest rate (r)= 0.144/12= 0.012

To calculate the interest to be paid and the total amount due, we need to use the following formula:

I= P*r*t

I= 1,800*6*0.012

I= $129.6

Total amount= $1,929.6

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Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

[tex]=(3x-1)-(x+2)[/tex]

Simplify. Distribute:

[tex]=(3x-1)+(-x-2)[/tex]

Rearrange:

[tex]=(3x-x)+(-1-2)[/tex]

Therefore:

[tex](f-g)(x)=2x-3[/tex]

Answer:

what grade r u in?

Step-by-step explanation:

Subtract 229 and 164 its 65 so thats your answer .

Answer:

37.46

Step-by-step explanation:

I think not sure tho

Answer:

[tex]t=7.85 years[/tex]

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

[tex]\frac{dP}{dt}=aP[/tex]

Where a is proportional constant, P the population variable, and t the time.

[tex]\frac{dP}{P}=adt[/tex]

Integrating each side of the equation.

[tex]\int \frac{dP}{P}=\int adt[/tex]

[tex]ln(P)=at+c[/tex]

[tex]P=e^{at+c}[/tex]

[tex]P=e^{c}e^{at}=Ce^{at}[/tex]

To find C we need to use the initial condiction, it means evaluae P at t=0.

[tex]P_{0}=Ce^{0}=C[/tex]

[tex]P=P_{0}e^{at}[/tex]

Now, we use the sentence  the population has doubled in 5 years.

[tex]2P_{0}=P_{0}e^{a5}[/tex]

We can find "a" in this condition.

[tex]2=e^{a5}[/tex]

[tex]ln(2)=a5[/tex]

[tex]a=\frac{ln(2)}{5}[/tex]

[tex]a=0.14[/tex]

Finally, let's find how long will it take to triple.

[tex]3P_{0}=P_{0}e^{0.14t}[/tex]

[tex]3=e^{0.14t}[/tex]

[tex]t=\frac{ln(3)}{0.14}[/tex]

[tex]t=7.85 years[/tex]

I hope it helps you!

9514 1404 393

Answer:

  336 cm^2

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...

  A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2

Answer:

-25+? = -5

cross -5 over and it the negative sign would turn to postive sign

-25+(5)=?

Therefore answer = 20

To confirm this answer

-25+20= -5

Answer:

c

Step-by-step explanation:

divide 1/5,280 and then multiply that by 6,600

Answer:

the answer is c

Step-by-step explanation:

multiply 6,600 by 1 and that will give you 6,600 again

after that you divide 6,600 and 5,280 that will get you 1.25

if you think I'm wrong just do it on the calculator it will give you 1.25

have a nice day!!

Answer:

See below.

Step-by-step explanation:

The y-intercept is the point where the line passes the y-axis. In this instance, that is at the point (0, 3).

The roots are the x-intercepts are the points where the line crosses the x-axis. In this instance, the roots are x = -3 and x = -1.

The turning point is the vertex of the equation. In this instance, the vertex is on the point (-2, -1).

Answer:

B

Step-by-step explanation:

x+2+10 is 13 which is the beginning of the perimeter

Answer:

$455

Step-by-step explanation:

To find the answer, divide 260 by 4 to find the cost of one night. This gets us 65. Now, we multiply 65 by 7 to get 455. This means it costs $455 for 7 nights.

Answer:

$455

Step-by-step explanation:

260 divided by 4 is 64

64 times 7 is 455

Answer:

Step-by-step explanation:

Answer: 150 sandwhiches

Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30

Answer:

56.52ft³ is the answer hope this helps

Answer:

3rd option hope this helps.

Step-by-step explanation:

Step-by-step explanation:

i assume this is the question you asked me to look at.

Well, angle 116° and y are supplementary angles

therefore,116°+y=180°

y=180°-116°=64°

Now to find x

x+y+125+72=360°

x+64+125+72=360

x+261=360

x=360-261=99°

The measure of x° is  99° and the measure of y° is 64°.

What is quadrilateral?

A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.

From the given figure,

116°+y°=180° (Sum of adjacent angles is 180°)

y°=180°-116°

y°=64°

Sum of interior angles of quadrilateral is 360°.

Here, x°+y°+72°+125°=360°

x°+64°+72°+125°=360°

x°+261°=360°

x°=99°

Therefore, the measure of x° is  99° and the measure of y° is 64°.

Learn more about the quadrilaterals here:

https://brainly.com/question/29934440.

#SPJ2

Answer:

A

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.

Answer:

B

Step-by-step explanation: i took the test on docs/forms

Answer: (3, 6)

Step-by-step explanation:

3x + y = 15

y = 2x

Using substitution:

3x + 2x = 15

5x = 15

x = 15/5

x = 3

y = 2x

y = 2 * 3

y = 6

x = 3

y = 6

= (3, 6)

Answer:

21.74

Step-by-step explanation:

Answer:

First one is the graph second one is the equation

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

as graphed

Answer:

O A = Bx H and A = L + L + W + W.

Step-by-step explanation:

Answer: The answer is y=2x-2

Step-by-step explanation: Slope intercept form is y=mx+b. m= the slope and b=the y-intercept (the point on the y axis that the line crosses). The slope using rise/run is -2/1 making m=2 and the point on the y axis where the line intercepts is -2.

Answer:

put the short hand at nine

Step-by-step explanation:

put the long hand and 10 minutes

Answer:

you can draw on your notebook and draw the clock

Answer:

x ≥ -64

Step-by-step explanation:

"3/4ths of a number is greater than or equal to -48"

3/4 of a number ≥ -48

Let's say the number is x.

(3/4)x ≥ -48

Multiply both sides by 4.

3x ≥ -192

Divide both sides by 3.

x ≥ -64

Answer:

437.999 + 0.001 = 438

Step-by-step explanation: