Explain step by step please thank you!

The ratio of teachers to students in a school district is 2 to 47. The number of teachers in the district is 130, how many students are there?​

Answers

Answer 1

Answer:

Number of students in district = 3,055 students

Step-by-step explanation:

Given:

Ratio [Teachers to students] = 2 : 47

Total number of teachers in district = 130

Find:

Number of students in district

Computation:

Number of students in district = Total number of teachers in district[47/2]

Number of students in district = 130[47/2]

Number of students in district = 65[47]

Number of students in district = 3,055 students


Related Questions

Please help meeeeee!!!!!!!

Answers

Answer:

g

Step-by-step explanation:

3x+1<2+4x

-1<x

Answer:

x > -1

Step-by-step explanation:

3x + 1 < 2 + 4x

-x < 1

x > -1

please help
log(8)10 - log(8) -3x = 1

Answers

Answer: x=2.375937.... sorry I give you the wrong one but here the steps O here x=2.96423 will it can be any one of the two answer I give you now.

Step-by-step explanation: Hope this help :D

Answer:

2.4?

Step-by-step explanation:

There are 45students in class 7. Among them 1/3are girls. find the numbers of girls and boys​

Answers

Answer:

girls are 15 and boys are 30

Answer:

15 girls and 30 boys

Step-by-step explanation:

Given,

No. of students in the class = 45

Fraction of girls = 1/3

Therefore,

No. of girls = 45 × 1/3

= 15

No. of boys = 45 - 15 = 30

Hence,

In class 7 there are 15 girls and 30 boys (Ans)

Work out
1/8
+
3/4
Give your answer in its simplest form.

Answers

3/4 is equivalent to 6/8 when multiplied by 2, so 3/4 X 2 = 6/8.
1/8 + 6/8= 7/8
7 and 8 have no common factors, therefore it is in its simplest term

Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced algebra and physics in a particular high school. From a sample of 40 students, it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both. How many students are enrolled in either algebra or physics?

Algebra Not in Algebra Total
Physics 5 9 14
Not in Physics 24 2 26
Total 29 11 40

Answers

it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both using principle of inclusion-exclusion we can say 38 students are enrolled in either algebra or physics.

How to find the number of students enrolled  in either algebra or physics?

To find how many students are enrolled in either algebra or physics, you can use the principle of inclusion-exclusion, which states that the total number of elements in two sets can be found by adding the number of elements in each set and then subtracting the number of elements that are in both sets.

So, the number of students enrolled in either algebra or physics is:

29 (students enrolled in algebra) + 14 (students enrolled in physics) - 5 (students enrolled in both) = 38

So, 38 students are enrolled in either algebra or physics.

It is important to notice that in the table you provided is a two-way frequency table also known as a contingency table, it shows the relationship between two variables, in this case, Algebra and Physics and the frequencies of each combination.

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What is the value of the expression below when x=2?
8x^2 +6x-8
8x
2
+6x−8

Answers

When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.

What is the value of the expression when x = 2?

Here we need to evaluate the following expression:

8x² + 6x - 8

in x = 2.

Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:

8*2² + 6*2 - 8

8*4 + 12 - 8

8*3 + 12

24 + 12 = 36

When x = 2, the expression is equal to 36.

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What is the area of the rectangle? A.11 square centimeters
B.22 square centimeters
C.28 square centimeters
D.14 square centimeters

Answers

Answer:

28

Step-by-step explanation:

Area of a rectangle = width times length therefore the equation is 7 times 4 = 28.

I need help with these

Answers

Answer:

w=17

Step-by-step explanation:

Distribute -9 into the parenthesis to remove them.

Use the addition property of equality and add -9w to both sides of the equation

use addition property of equality again and add -243 to the opposing side of the equation

Use division property of equality and divide both sides by 9

Thus getting w = 17

What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?

Answers

Answer:

See below

Step-by-step explanation:

I guess if you look at the zeroes/x-intercepts, we got (3,0) and (-7,0) as zeroes.

Additionally, we can calculate the minimum by expanding the function:

[tex](x-3)(x+7)=x^2+4x-21[/tex]

[tex]\displaystyle x=-\frac{b}{2a}=-\frac{4}{2(1)}=-2\\\\f(-2)=(-2)^2+4(2)-21=4+8-21=12-21=-9[/tex]

So the minimum of the function is (-2,-9)

Also, our y-intercept is (0,-21)

One integer is 5 less than another. The sum of their squares is 277

Answers

The equation is x² + y² = 277 and the value of x and y is 9 and 14 respectively

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the two number be x and y

One integer is 5 less than another

So , x = y - 5  

x - y = -5   be equation (1)

And , sum of their squares is 277

So , x² + y² = 277   be equation (2)

On simplifying the equation , we get

( x - y )² = x² + y² - 2xy

Substituting the values in the equation , we get

( -5 )² = 277 - 2xy

2xy = 277 - 25

2xy = 252

And , ( x + y )² = x² + y² + 2xy

Substituting the values in the equation , we get

( x + y )² = 277 + 252

( x + y )² = 529

( x + y ) = 23   be equation (3)

Adding equation (1) and equation (3) , we get

2x = 18

x = 9

So , y = 14

Therefore , the value of x and y is 9 and 14 respectively

Hence , the equations are solved

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За – 29 = 3(a – 3).

Answers

Answer:

No Solutions

Step-by-step explanation:

Hello!

We can solve for a by isolating the variable.

Solve for a:Distribute: 3a - 29 = 3(a) - 3(3)Simplify: 3a - 29 = 3a - 9Subtract 3a from both sides: -29 = -9

Since -29 cannot be equal to -9, there are no solutions for this equation.

Please define the following: Revenue, Cost and Profit VS
Marginal Revenue, Marginal Cost and Marginal Profit.

Answers

The additional expense brought on by reducing the quantity is known as the cost. An additional expense "at the margin" is another name for this. The extra income that results from raising the supply is known as the marginal revenue.

What is Cost and Profit?

Profit is defined as the difference of revenue and cost (determined by deducting cost from revenue. when revenue exceeds operational expenses, the difference between them is called the operating profit.

The additional money "at the margin" is another name for this.The money left over after a corporation pays its bills and expenses is known as its profit. Costs are the out-of-pocket expenditures comes to making, producing, and marketing the company's goods and services.

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A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $12. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $31. Find the cost for each pound of almonds and each pound of jelly beans.

Answers

To find the cost of each pound of almonds, we need to find the difference in the cost of the almonds between the two purchases and divide it by the difference in the number of pounds of almonds. In this case, the difference in the cost of the almonds is $31 - $12 = $19 and the difference in the number of pounds of almonds is 3 - 5 = -2 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/-2 = $-9.50 per pound. This means that the cost of each pound of almonds is $-9.50.

To find the cost of each pound of jelly beans, we can use a similar process. In this case, the difference in the cost of the jelly beans is $31 - $12 = $19 and the difference in the number of pounds of jelly beans is 8 - 2 = 6 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/6 = $3.17 per pound. This means that the cost of each pound of jelly beans is $3.17.

Need help solving this please

Answers

Answer:

30 students

Step-by-step explanation:

First, we need to find exactly how many students went to school by car and how many went on the bus.

To do this, we simply multiply the fraction of students that used each transportation method by the total number of students.

[tex]\# \textrm{ of students by car} = \dfrac{3}{8} \times 240 = \dfrac{3 \times 240}{8} = \dfrac{720}{8} = 90 \textrm{ students}[/tex]

So, 90 students went to school by car.

[tex]\# \textrm{ of students on bus} = \dfrac{6}{12} \times 240 = \dfrac{1}{2} \times 240 = \dfrac{240}{2} = 120 \textrm{ students}[/tex]

So, 120 students went to school on the bus.

The number of students that walked to school is the same as the number of students who didn't go in a car or on the bus, so to find the number of students that walked to school, we can subtract the number of students that went by car and on the bus from the total number of students.

[tex]\# \textrm{ of students that walked} = 240 - 90 - 120 = 30 \textrm{ students}[/tex]

What is the point of intersection when the system of equations below is graphed on the coordinate plane?



(1, –3)
(–1, 3)
(1, 3)
(–1, –3)

Answers

The point of intersection is (–3.5, 0.5) when the system of equations below is graphed on the coordinate plane.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations below

-x + y = 4,

6x + y = -3

As per the given question, the required graph has been attached below.

The point of intersection when the system of equations is graphed on the coordinate plane is (–3.5, 0.5).

This is the point where the two lines cross each other.

Hence, the correct answer would be an option (D).

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The question seems to be incomplete the correct question would be:

What is the point of intersection when the system of equations below is graphed on the coordinate plane? -x+y=4, 6x+y= -3

A. (1, –3)

B. (–1, 3)

C. (1, 3)

D. (–3.5, 0.5)

Write an expression for "3 more than x."

Answers

Answer:

The expression is x + 3 or 3 + x

Step-by-step explanation:

Answer:

The answer is 3>x or x<3

Step-by-step explanation:

hope this helps

On a scale, drawing inches equals 10 miles if the length of the road on the scale is 4 inches which of the following could be used to find the length of the road

Answers

On solving the provided question, we can say that - here in equation 10x + =4 = 2

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

the equation we have is  = 10x + =4 = 2

10x = -2

x = -1/5

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Consider the graph of the function /() = 24
y
5-
4-
3-
2-
1
-3
21
0
2
3
4
5
-1-
-2
-3
-49
-5-
Match each transformation of function fto a feature of the transformed function.
asymptote of y = 2
y-intercept at (0,4)
y-intercept at (0,2)
function decreases as x increases

Answers

9514 1404 393

Answer:

function decreases(0, 2)y = 2(0, 4)

Step-by-step explanation:

-f(x) reflects the graph over the x-axis. Instead of increasing everywhere, it decreases everywhere.

__

2f(x) stretches the graph vertically by a factor of 2. The y-intercept of (0, 1) gets moved to (0, 2)

__

f(x) +2 shifts the graph up 2 units. The horizontal asymptote moves from y=0 to y=2.

__

f(x+2) shifts the graph left 2 units. The point (2, 4) on the original graph gets translated to the y-axis to become the new y-intercept (0, 4).

can anyone help me out with this question

Answers

Answer:

[tex] \sf \: b) \: 45[/tex]

Step-by-step explanation:

The values given are,

→ u = 7

→ d = 10

→ e = 3.2

Now the expression is,

→ 15(d - u)

Evaluating the expression,

→ 15(d - u)

→ 15(10 - 7)

→ 15 × 3

→ 45

Hence, option (b) is correct.

Answer:45

Step-by-step explanation:

15(10-7)

15(3)

multiply and get 45

3p-3p+2s-6s+2q-3q+8r-7r

Is it ok to not put the p in this equation as the 3p is minus

Answers

Answer:

- 4s - q + r

Step-by-step explanation:

that's right. You do not put the p since 3p and -3p cancel out to give zero. I'll solve the question for you:-

⇒3p-3p+2s-6s+2q-3q+8r-7r

add or subtract the like terms(terms having same variables), then out of the two like terms, put the sign of the greater number, for e.g. 2q-3q = -1q

⇒0 - 4s - 1q + 1r

⇒- 4s - q + r Answer

hope that helps...

Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g ⁡ ( x ) = − 18 ⁢ ( 1 3 ) x + 2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function g increases at a faster average rate. C. Both functions are increasing, but function f increases at a faster average rate. D. Only function f is increasing, and only function f is negative.

Answers

The correct comparison between two function is

Both functions are increasing, but function g increases at a faster average rate.

The Correct option is (B).

What is an increasing function?

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

Let us assume

f(x) = [tex]ab^x[/tex]+ c

so, at x=0, f(0)=-10

a +c = -10

Similarly, by satisfying the above table in the f(x)

f(x) = -33/5 [tex](1/11)^x[/tex] - 17/5

and, f'(x) > 0

Thus, f(x) is an increasing function.

Now, g(x) = -18 [tex](1/3)^x[/tex] +2

g'(x) = -18 [tex](1/3)^x[/tex] log(1/3)

as log 1/3 <0

So, g'(x) > 0

Thus, g(x) is an increasing function.

For any x ∈ f(x) and x ∈ g(x), g'(x) > f'(x).

Hence, Both functions are increasing, but function g increases at a faster average rate.

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Which statement best describes the definition of x^m/n and explains why it makes sense?

Answers

I really don’t know

As there are certain steps are there which describes, the definition of f x^m/n re, by  taking the mth root of a number is the same as taking the reciprocal of the exponent, and raising that reciprocality to the power of n is equivalent to raising the original number to the power of n/m.

What is the statement?

Statements are sentences that expressage a fact, idea, or legal opinion. Statements do not ask questions, make requests or give speech act. They are also not utterances.

As there is a second step that follows,

2. This can also be written as x^(mn/m^2) = x^(n/m) which is the same as x to the power of (n/m)

3. This can also be written as x^(mn/m^2) = x^(n/m) which is the same as x to the power of (n/m)

4. The expression (x^(m/n))^(n/m) is the definition of x^mn, which is the mth root of x raised to the power of n. It makes sense because taking the mth root of a number is the same as taking the reciprocal of the exponent, and raising that reciprocal to the power of n is equivalent to raising the original number to the power of n/m.

Therefore, As a result, the complete definition of  x^m/n, are as follows in the above statement.

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The complete statement was.

The expression (x^(m/n))^(n/m) is the definition of x^mn, which is the mth root of x raised to the power of n. It makes sense because taking the mth root of a number is the same as taking the reciprocal of the exponent, and raising that reciprocal to the power of n is equivalent to raising the original number to the power of n/m.

Which of the followinkg is a rational number that is not an integer?
-2
-0.5
0
4

Answers

It’s -0.5 because it an integer has to be whole number hope this helps :)

6 18 years ago Chris was 5 vears old. How old
will he be in 16 years time?​

Answers

If he was 5 years old 18 years ago he would be (5+18) = 23 now. In 16 years he’d be (23+16) = 39 years old

Answer:

he should be 39 y/o

Step-by-step explanation:

you would add the 18 and 5 to get him age now, and then add the 16 years, so his age would be 39. hope this helps

Is this correct, If not tell me what is the correct answer.

Answers

Answer:

its correct

Step-by-step explanation:

Consider the function f (x) = StartLayout Enlarged left-brace first row negative StartFraction x + 5 Over x + 3 EndFraction, x less-than negative 2 second row x cubed + 6, x greater-than-or-equal-to negative 2 EndLayout.

Which statement describes whether the function is continuous at x = –2?

The function is continuous at x = –2 because f(–2) exists.
The function is continuous at x = –2 because Limit as x approaches negative 2 plus f(x) = f(–2).
The function is not continuous at x = –2 because Limit as x approaches negative 2 f(x) ≠ f(–2).
The function is not continuous at x = –2 because Limit as x approaches negative 2 f(x) does not exist.

Answers

Answer:

D

Step-by-step explanation:

Edge

In the diagram for this problem, lines BE and CF are congruent. Arc AB = 48 degrees. Arc BC = 42 degrees. Which measure is the greatest?

Answers

Answer:

arc AB

Step-by-step explanation:

uhhhh 48 is greater than 42

what is the length of the line?
A. Square root 11
B. Square root 61
C.8
D.11

Answers

Answer:

C

Step-by-step explanation:

The answer is. : A

Hope this helps

A trapezoid has interior angle measures of 95°, 97", 85° and X degrees. Find the measure of angle X in the trapezoid. Enter only the number of degrees in the answer
box.
The solution i:

Answers

As a result, you are turning the entire trapezium figure 90 degrees clockwise in order to change the trapezoid LMNQ into L′M′NQ′.

The trapezoid is what?

In American and Canadian English, a trapezoid is a quadrilateral with at least one set of parallel sides. In British and other versions of English, the word is a trapezium. A trapezoid is always a convex quadrilateral in Euclidean geometry. The parallel sides of the trapezoid are referred to as its bases.

Given: When (-7,-2) to L, L becomes L' (-2,7)

You will often obtain a rotation of 90 degrees clockwise or 270 degrees counterclockwise around the origin (0,0), as well as a reflection across the x-axis and across the line of symmetry of the image, if you have (x,y) and it becomes (y,-x).

The entire graphic is therefore rotated 90 degrees in a clockwise orientation.

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I am lost and need help asap!

Answers

Answer:

<CED = 58°

Step-by-step explanation:

Let <CED = x

We can obtain the value of x as illustrated below:

<CED + 122 = 180 (angles on a straight line)

x + 122 = 180

Collect like terms

x = 180 – 122

x = 58°

<CED = x

x = 58°

Thus,

<CED = 58°

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