Write a unit rate for the situation.
Situation: 87 students in 3 classrooms
Unit rate:
students per classroom

Answer:

your answer is [tex]27/60[/tex] and [tex]7/60[/tex]

The angle ∠C is 130° by the alternative angles.

Given that,

In the figure we have a diagram.

We have to find the angle c.

The angles created on the opposing side of the transversal with regard to both straight lines when two straight lines are cut by it are referred to as alternative angles. Therefore, the angles that are on the opposing sides of the transversal and have distinct vertices are those.

We know that,

By alternative angles

∠M=∠C

So,

130°=∠C

Therefore, The angle ∠C is 130° by the alternative angles.

To learn more about angle visit: https://brainly.com/question/28451077

#SPJ1

The equivalent expression that represents the amount Anna can better understand how her money is invested is 5000(1+0.0005)^12t.

The correct answer option is option c.

Based on the expression given, Anna's investment is compounded monthly.

The formula for calculating future value:

FV = P (1 + r)^(nm)

Where,

5000(1.0005)^12t

Given options:

a) 5000(1.0005^12)^t

False

b) 5025^12t

False

c) 5000(1+0.0005)^12t

= 5,000(1.0005)^12t

True

d) 5000(1.0005^t)^12

False

e) (5000+2.5)^12t

False

f) 5000(1+0.06/12)^12t

= 5000(1 + 0.005)^12t

= 5000(1.005)^12t

False

In conclusion, the expression equivalent to Anna's investment is 5000(1+0.0005)^12t

Learn more on compound interest:

https://brainly.com/question/27212464

#SPJ1

The ratio of a : b in the given expression is 16:3  .

In the question ,

it is given that

the algebraic expression is (a+3b)/5 = (a-2b)/2

we have to find the ratio of a:b ,

in order to find the ratio,

we cross multiplying ,

On cross multiplying , we get

2 * (a+3b) = 5 * (a-2b)

2a + 6b = 5a - 10b

5a - 2a = 10b + 6b

3a = 16b

dividing both sides by b ,

a/b = 16/3

a:b = 16:3

Therefore , The ratio of a : b in the given expression is 16:3 .

The given question is incomplete , the complete question is

What is the ratio of a:b in the expression (a+3b)/5 = (a-2b)/2  ?

Learn more about Ratio here

https://brainly.com/question/19617266

#SPJ1

Step-by-step explanation:

only limited sense.

first of all, directly it does not make any sense. we can only send integer number of students on a field trip. not half-persons.

therefore, 29.5 students for a single field trip calculation does not make sense.

but : we could want to use the same function to calculate or analyze the costs of multiple field trips by using things like mean values of students participating. there fractions as student numbers make sense.

(x,y) = (8,20), (6,24), and (10,17).are three alternative combinations of pumpkins and squash that Latisha may buy to depict the circumstance.

Latisha's total wealth is $17.

More than 10 veggies are the number of vegetables that Latisha wants to purchase.

A pumpkin costs $5.50.

An autumn squash costs $3.50.

Let n pumpkins purchased equal x.

Purchased number of autumn squash = y

There are three alternative squash and pumpkin combination that Latisha might buy to symbolize the circumstance.

With x acting as the independent variable, we may identify many y's.

x ( Pumpkin)                   y(Autumn squash) (integral value)

    8                                                                20

    6                                                                24

   10                                                              17

Learn more about Combination here

https://brainly.com/question/28720645

#SPJ4

The length of the diagonal for the given rectangular book using Pythagoras' theorem will be 5.8.

A rectangle is a geometrical figure in which opposite sides are equal.

Area of rectangle = length × width.

The angle between any two consecutive sides will be 90 degrees.

As per the given rectangle with dimensions 3 × 5.

The rectangle has been attached below,

The length of the diagonal using Pythagoras' theorem is,

x = √(3² + 5²)

x = √34 = 5.8

Hence "The length of the diagonal for the given rectangular book using Pythagoras' theorem will be 5.8".

For more about rectangles,

https://brainly.com/question/15019502

#SPJ1

The amount a container would take to spray 1 entire lawn is 7 litres.

Given that a container with 3½ liters of weed killer can spray 1/2 of a lawn.

We want to find the amount of liters to take a spray 1 entire lawn.

3½ liters of weed killer can spray 1/2,

liters take to spray 1 lawn is 3½/1/2=7 liters

Hence, the amount of liters it would take to spray 1 entire lawn when a container with 3½ liters of weed killer can spray of a lawn is 7 liters.

Learn more about the liters from here brainly.com/question/28057522

#SPJ9

The following are features of the parabola shown in the diagram:

Vertex:  (2, -1)

Axis of symmetry: x = 2

The parabola opens downward.

The vertex of a graph is the coordinates of the point where the tip of the parabola lies at.

What is the Axis of Symmetry of a Parabola?

The axis of symmetry of a parabola passes through the vertex and is it expressed as the x-coordinate of the vertex of the parabola.

The tip of the parabola shown in the image above is at (2, -1), and the parabola as can be seen opens downward.

Therefore:

The vertex of the parabola is (2, -1)

The axis of symmetry would be expressed as x = 2. The parabola opens downward as well.

Learn more about vertex of parabola on:

https://brainly.com/question/25035467

#SPJ1

Answer:

Step-by-step explanation:

yes Saab do

By probability , 7 is degrees of freedom are there .

Describe probability using an example?

825 Observations and 8 categories .

Degree of freedom = k - 1

     df = 8 - 1

     df = 7

Learn more about probability

brainly.com/question/11234923

#SPJ4

The graph the system of linear equations on a coordinate plane is added as an attachment

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y=4/3x+4

3y=-2x-6

Rewrite the equations in the system of equations as follows:

So, we have the following representation

y = 4/3x + 4

3y = -2x - 6

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (-3, 0)

This means that the solution to the system of equations is (-3, 0)

See attachment for the graph of the system of equations

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

The relationship between variables p and q is given by p = kq. Also, the value of the variable p when q = 16 is 6 and when p = 2.4, the variable q is 6.4.

Mathematically, a proportional relationship can be represented with the following mathematical expression:

p = kq

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = p/q

Constant of proportionality (k) = 4.5/12

Constant of proportionality (k) = 0.375.

When q = 16, the variable p is given by:

p = kq

p = 0.375 × 16

p = 6.

When p = 2.4, the variable q is given by:

q = p/k

q = 2.4/0.375

q = 6.4

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

0.08891% percent of people have a blood pressure reading greater than 145.

acc to our question-

Hence, 0.08891% percent of people have a blood pressure reading greater than 145.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

He ran 42.1 kilometers.

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet. The act or process of transforming something into a different condition or form is known as conversion. to convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.

Given,

A marathon is a 26.2-mile race that commemorates the run made by a greek soldier, pheidippides, that took place in 490 bce.

1 mile = 1.609

Converting miles into kilometer:

26.2 miles

= 26.2 × 1.609

= 42.1

He ran 42.1 kilometers.

To learn more about conversion, visit:

https://brainly.com/question/1822263

#SPJ4

From the coefficients of the quadratic equation and the vertex of the parabola, it was found that the graph again crosses the x-axis  in x=7.

The standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

For solving the quadratic function, you should find the discriminant: Δ=b²-4ac and then use this variable in the formula: [tex]\frac{-b \pm \sqrt{\Delta} }{2a}[/tex] .

The given equation is a quadratic function because have a degree equal to 2. Therefore, the graph is represented by a parabola. The vertex of the parabola is given by the coordinates(xv= -b/2a, yv= -Δ/4a).

From the given figure, it is possible to see that:

For x= -1, you have y=0, then:

ax²+bx+c=0 -> x=-1

a (-1)²-b+c=0

a*1-b+c=0

a-b+c=0 (1)

For y= 2, you have x=0, then:

ax²+bx+c=0

a*0²+b*0+c=2

0+0+c=2

c=2 (2)

As, a-b+c=0 (1) and c=2 (2), you have:

a-b+c=0

a-b+2=0

a-b=-2 (3)

Now, you should use the information about the xv.

[tex]x_v=\frac{-b}{2a} =3[/tex]

-b=6a

b=-6a

From equation 3, you will find the coefficient a .

a-b=-2 (3)

a-(-6a)= -2

a +6a =-2

7a= -2

a=-2/7

If a= -2/7, from equation 3 you can find the coefficient b.

b=-6a = -6* (-2/7)=12/7

Thus, the quadratic equation of the plot is: ax²+bx+c

[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex]

Now, you should find the roots for the found equation :[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex].

[tex]x_{1,\:2}=\frac{-12\pm \sqrt{12^2-4\left(-2\right)\cdot \:14}}{2\left(-2\right)}[/tex]

[tex]x_1=\frac{-12+16}{2\left(-2\right)}=-1,\:x_2=\frac{-12-16}{2\left(-2\right)}=7[/tex]

Read more about the quadratic function here:

brainly.com/question/1497716#

#SPJ1

Answer:

The answer is w= -1

Step-by-step explanation:

4w + 2 + 0.6w = -3.4w - 6

4.6w + 2 = -3.4w - 6

8w + 2 = -6

8w = -8

w = -1

The expression represents the amount of total money. Then the total late fee Camilla owes will be $2.1.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Camilla borrows a book from the library for d days.

The library charges a late fee 0.10 dollars per day that the book is late.

If Camilla returns the book more than 21 days after she borrowed it.

Then the expression will be 0.10d.

The total amount is given as

Total amount = 0.10 d

Total amount = 0.10 x 21

Total amount = $2.1

learn More about of Algebra here

https://brainly.com/question/11841980

#SPJ4

The average daily change  in temperature will be 3 degrees The temperature dropped to 24 degrees in 8 days

Since we know an average could be a single number taken as an agent of a list of numbers, as a rule, the whole of the numbers divided by how numerous numbers are within the list. We are said the temperature dropped to 24 degrees in the  8 days

So the average of it  will be =24 /8  = 3, which  means the temperature needed to drop for at least 3 degrees in order to get the sum  of 28  in 8 days.

To know more about temperature refer  to the link https://brainly.com/question/11464844?referrer=searchResults.

#SPJ4

Answer:

x=5

y=-2

Step-by-step explanation:

even though this looks like they want you to do it elimination ima do substation cause I like that better

2x-y=12

   +y. +y

2x=12+y

-12    -12

2x-12=y

Now we can fill in y

3x+4(2x-12)=7

3x+8x-48=7

11x-48=7

   +48. +48

11x=55

/11. /11

x=5

fill in X to find y

2(5)-y=12

10-y=12

-10. -10

-y=2

y=-2

hopes this helps please mark brainliest

Answer:

$1925

Step-by-step explanation:

So your problem is $55,000 x 3.5%

You can rewrite this as:

55,000 x 3.5/100 or 55,000 x 35/1000

Now multiply. I will remove the /1000 for now.

55,000x35=1925000

Now, divide 1925000 by 1000.

1925/1000=$1,925

The value of x for the given parallelogram is 4.8 cm.

According to the question,

We have the following information:

We have a parallelogram with base x cm, height 2.5 cm and area 12 square centimeters.

(More to know: in a parallelogram, the opposite sides are equal and parallel to each other. Opposite angles of parallelogram are equal and the sum of consecutive angles is 180°.)

We know that the following formula is used to find the area of the parallelogram:

Area of parallelogram = Base*height

x*2.5 = 12

x = 12/2.5

x = 4.8 cm

Hence, the value of x is 4.8 cm.

To know more about parallelogram here

https://brainly.com/question/14091538

#SPJ1

We can actually deduce here that the statement, "base of an isosceles triangle can be right angles" is false.

An isosceles triangle is actually known to be a triangle which has two sides equal and opposite angles of the sides also equal. In other words, an isosceles triangle must have at least two equal triangles.

Some of the properties of an isosceles triangle are:

We see here that the base of an isosceles triangle cannot be a right angles. It is still to have one side as a right angle but not the two sides as right angles.

The complete question is:

True or false: Base angles of an isosceles triangle can be right angles.

Learn more about isosceles triangle on https://brainly.com/question/25812711

#SPJ1

The equation 22+(d-1)0.5 = 30 may be used to determine how many days it will take the plant to reach a height of 30 cm. The value of d is 17, and it stands for the number of days.

There are two definitions for an arithmetic sequence. It is a series where the differences between every two succeeding terms are identical or each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term.

The following details are available to us:

A 22 cm tall basil plant that is gaining half a centimeter daily was purchased by Matteo.

We now have the arithmetic progression shown below with the common difference, indicated by the letter d:

22, 22.5, 23, 23.5, ...

The formula for calculating the nth term:

When an is the first term, a(n) = a+(n-1)d.

A) 22+(d-1)0.5 = 30

B) The plant still needs to develop 8 cm, as there is a difference of 8 cm between 30 and 22.

C) D's value:

22+(d-1)0.5 = 30

To know more about an arithmetic sequence, visit:

https://brainly.com/question/15456604

#SPJ13

The function g(-1) has its value to be (c) g(-1) =  1

The definition of the function is given as

g(x)=x³+6x² + 12x+8

Rewrite the above function properly

So, we have the following representation

g(x) = x³ + 6x² + 12x + 8

To find the function g(-1), we set the value of x in the equation g(x) = x³ + 6x² + 12x + 8 to -1

This is represented by

Calculate g(x), when x = -1

Substitute -1 for x in the equation g(x) = x³ + 6x² + 12x + 8

So, we have the following equation

g(-1) = (-1)³ + 6(-1)² + 12(-1) + 8

Evaluate the exponents

This gives

g(-1) = -1 + 6(1) + 12(-1) + 8

Evaluate the products

This gives

g(-1) = -1 + 6 - 12 + 8

Evaluate the sum

g(-1) =  1

Hence, the value of the function is g(-1) =  1

Read more about functions at

brainly.com/question/10687170

#SPJ1

⇒ ∠AOC+∠AOE+∠EOD=180°(angles on a straight line are supplementary)

16°+90°+2y=180°

[tex]106+2y=180\\2y=180-106\\2y=74\\\frac{2y}{2} =\frac{74}{2} \\y=37[/tex]

∴y=37°

∠AOC+∠COF∠BOF=180°(angles on a straight line are supplementary)

16°+90°+4x=180

[tex]106+4x=180\\4x=180-106\\4x=74\\\frac{4x}{4} =\frac{74}{4} \\x=18.5[/tex]

∴x=18.5°

The sides of similar triangles are proportional, therefore, the true equation would be: FG/CD = EG/BD.

Two similar triangles have corresponding angle measures that are congruent to each other, but have corresponding side lengths that are proportional to each other.

Similar triangles have the same shape but their sizes are different.

Given that angles C and F are congruent, and angles D and G are congruent, therefore triangle BCD is similar to triangle EFG based on the AA similarity theorem.

Therefore, the corresponding side lengths of both triangles will be proportional, which means that the following equation would be true:

FG/CD = EG/BD

Learn more about proportional sides of similar triangles on:

https://brainly.com/question/14327552

#SPJ1

[tex]{ \green{ \sf{G = \sqrt{ ab}}}}[/tex]

[tex]{ \green{ \sf{G = \sqrt{ (ab³)(a³b)}}}}[/tex]

[tex]{ \green{ \sf{G = \sqrt{ a⁴b⁴}}}}[/tex]

[tex]{ \red{ \boxed{ \pink{ \sf{G = \sqrt{ a².b²}}}}}}[/tex]

Answer:

Yes it is

Step-by-step explanation:

Every new number is 3 less than the last number

n-3

Answer:

Yes, -3

Step-by-step explanation:

An arithmetic sequence is when the numbers in the sequence are subtracted or added by the same value everytime to get the next number. (NOT multiplied or divided, if it's that then it's a geometric sequence)

from 36 to 33, we can see the change is -3
from 33 to 30, it's also -3
from 30 to 37, it's also -3

The common difference is the difference between the two consecutive terms in the sequence, which is -3

Since it's subtracting or adding by the same value everytime to obtain the next value, this sequence is an arithmetic sequence, and the common difference is -3