Which function graph represents the following scenario?

The number of students per classroom can be represented by the equation y = 22x.

Question 9 options:

Answer:

x= -6

Step-by-step explanation:

x/2+3=x+6

We have to isolate the variable.

x/2+3=x+6

-x       -x

-x/2+3=6

      -3  -3

-x/2=3

-0.5x=3 To get to the answer we need to get to x. To get to x from -0.5x we multiply each side by -2

x=-6

2.9% of the people in Antonie's middle school have an extra rib

Ribs are curved bones that are located in the chest, they help to protect the delicate organs in that part of the body.

About 2 in every 400 people have an extra rib

There are 580 people in Antoine's middle school

The number of people with an extra rib cage can be calculated as follows

= 580 × 2/400

= 1160/400

= 2.9

Hence 2.9% people have an extra rib cage.

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Step-by-step explanation:

9y - 5 + 9y - 1 = 9y + 9y - 5 - 1

= (9 + 9)y - 6

= 18y - 6

Answer:

The value of x = 17

Step-by-step explanation:

=> 4x + 2 = 70°

=> 4x = 70 - 2

=> 4x = 68

=> x = 68/4

=> x = 17

Answer:150 ounces

Step-by-step explanation:

The volume of the right rectangular prism = 2.4 ft³

A cube is a three dimensional shape that has equal edges and sides. The volume of a cube is calculated as:

Volume = a³, where a is the side length of the cube.

Given:

Side length of one cube (a) = 1/5 ft

Volume of one cube = (1/5)³ = 1/125 ft³

The right rectangular prism has 300 of these cube. Therefore:

Volume of the right rectangular prism = 300 × 1/125

Volume of the right rectangular prism = 300/125

Volume of the right rectangular prism = 2.4 ft³

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The solution for x in the equation is x  = 2

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation is given as

x + 4 = 6

Subtract 4 from both sides of the equation

So, we have

x + 4 - 4 = 6 - 4

Evaluate the like terms

So, we have

x  = 2

Hence, the solution for x in the equation is x  = 2

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The correct options applied for the question are-

B.The solution's exponent is -12.

C.The solution's coefficient ≥ 1 but < than 10.

D 3.0×10⁻¹² is the quotient.

As, per the given question,

The equation stated can be written as;

= (9.6×10⁻⁸)/(3.2×10⁴)

Use the power rule of exponents;

= (9.6×10⁻⁸×10⁻⁴)/(3.2)

Add both the power of base 10 with sign as the same base is there.

= ((9.6×10⁻⁸⁻⁴)/(3.2)

= (9.6×10⁻¹²)/(3.2)

Divide the numerator by 3.2

= 3.0×10⁻¹²

The following conclusions are possible:

B.The solution's power of ten is -12, which is the difference of the original exponential function.

C.The coefficient is 3, which is greater than one but less than ten.

D. 3.0×10⁻¹² is the quotient.

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The complete question is-

What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction

A.The coefficient of the solution is 6.4, the difference of the original coefficients.

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 × 10-12

E.The solution is a very large number.

Answer: ur mom

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Commission = Rate of commission * Total sales

So, Rate of commission = Commission/Total sales

x = Rate of commission

x = 480/3000

x = 0.16

x as percentage = 0.16 * 100

x as percentage = 16%

Answer:

B

Step-by-step explanation:

I am not sure what kind of help you need here. the answer is kind of obvious, already revealed by the names of the lines (AB and CB). they meet or intersect at their joined point B.

Answer:

is there more??? i don't have a enough info

Step-by-step explanation:

Write the number as a fraction of 1 (one):

Simultaneously multiply the numerator and denominator by 10 as many times as the digits after the comma (separation between the integer part and the fractional part of the number):

Since we have 3 numbers after the comma, multiply the numerator and denominator by 1000. So,

Note that multiplying by 10 is the same as moving the decimal point one place to the right.

Once this fraction is irreducible, that is, it is in reduced form, we can no longer simplify it. The answer is the previous fraction.

Answer:

x = 1/9

Step-by-step explanation:

8x¹ - x +4 can be also written as 7x + 4 or 7x = -4

And 3x + 5 can be written as 3x = -5

So,

7x = -4

-(3x = -5)

4x = 1

x = 1/9

The linear equation that gives the cost C (in dollars) for j jerseys is [tex]C = 23j_{1} + 19.80j_{2}[/tex].

From the question, the linear equation that gives the cost C (in dollars) for j jerseys can be derived as follows:

[tex]C = 23j_{1} + 19.80j_{2} ............................. (1)[/tex]

Where:

C = total cost of the two jersey

Cost per unit of sports jerseys with $345 cost = $345 / 15 = $23

Cost per unit of jerseys with $495 cost = $495 / $19.80

[tex]j_{1}[/tex] = units of sports jerseys with $345 cost

[tex]j_{2}[/tex] = units of jerseys with $495 cost

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Answer:

5 4/29

Step-by-step explanation:

Rewrite as 298/58 and do the math

Answer:

$2.92 per gallon of gas

Step-by-step explanation:

divide $46.72 and 16

$46.72 ÷ 16 gallons of gas = $2.92

$2.92 per gallon of gas

The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

Bowling alley A;

Their charges per game is $4 per game

Charges to rent shoes is $3.75

If number of games is x, then we have;

Total Cost = 3.75 + 4x

Bowling alley B;

Their charges per game is $4.50 per game

Charges to rent shoes is $2.50

If number of games is x, then we have;

Total Cost = 2.5 + 4.5x

Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;

2.5 + 4.5x > 3.75 + 4x

Rearrange to get like terms gives;

4.5x - 4x > 3.75 - 2.5

0.4x > 1.25

x > 1.25/0.4

x > 3.125

Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

B)  Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;

3.75 + 4.5x > 2.5 + 4.5x

This means that the total cost will now always be greater at Bowling alley A

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29 parcels can be made from 290 magazines and books

The given parameters are

1 parcel = 6 magazines and 4 books

This can be rewritten as:

1 parcel = 10 magazines and books

For 290 magazines and books, we  have

x = 290 magazines and books

This means that

x = 290 magazines and books

1 parcel = 10 magazines and books

Cross multiply

x * 10 = 290 * 1

This gives

x = 29

Hence, 29 parcels can be made from 290 magazines and books

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Answer:

$62.93

Step-by-step explanation:

Convert 7% to a decimal and multiply by the price:  

$899.00 x .07 = $62.93

Answer: i=-1.75

Step-by-step explanation:

3i - 6 = 7i + 1

3i-3i-6=7i-3i+1

-6=4i+1

-6-1=4i+1-1

4i=-7

i=-7/4

i=-1.75

Answer:

10.

Step-by-step explanation:

Add them together.

Answer:

2 + 1 + 7 = 10

Step-by-step explanation:

This is actually easy.

The quotient of A = - 210 and B = - 15 is 14.

The Euclid's Division Lemma says when a number 'a' is divided by a number 'b' gives the quotient to be 'q' and the remainder to be 'r' then the following relation -> a = bq + r exists, where 0 ≤ r < b.

Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]

Given two numbers A = - 210 and B = - 15

The resultant quotient when A is divided by B can be calculated using Euclid's division lemma. Initially, we will assume remainder [r] = 0.

If the quotient is in decimals, we will change the remainder according to it else if the quotient is a whole number, the remainder will remain 0.

Using Euclid's division lemma -

Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]

- 210 = - 15 x q + 0

- 210 = - 15 x q

q = - 210 / - 15 = 14

Since, the quotient is a whole number, the remainder will remain zero.

Therefore, the quotient of A = - 210 and B = - 15 is 14.

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The amount due at maturity on Andres Michael's loan of interest rate of 3.75% is $20,431.75

What is effective monthly loan interest rate?

The loan effective monthly interest rate can be determined as the annual interest rate of 3.75% divided by 12 since there are 12 months in a year

effective monthly interest rate=3.75%/12

effective monthly interest rate=0.003125

loan balance after 4 months=$24,440*(1+0.003125)^4- $4,410

loan balance after 4 months=$20,336.94

loan balance after 12 months=$20,336.94*(1+0.003125)^8-$2,590

loan balance after 12 months=$18,260.96

balance at the 4 year(after another 36 months)=$18,260.96*(1+0.003125)^36

balance at the 4 year(after another 36 months)=$20,431.75

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Answer:

15.1

Step-by-step explanation:

Answer:

(2, -4)

Step-by-step explanation:

The rotation of an object turns the object around a fixed point called the center of rotation.  

A rotation of 90° counterclockwise means:

A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.

The rule for a counterclockwise rotation of 90° about the origin is:

(x, y) → (-y, x)

Therefore:

(-4, -2) → (2, -4)

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Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

Conjecture: Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

Conjecture: Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

Conjecture: Each term is a cube. To find the nth term, cube n.

4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Conjecture: Each term is the next consecutive prime number.

5. Correct as is

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

Conjecture: Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

We add 5 to each number

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

Divide each number by 2

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

We have to cube n:

n³ = consecutive number cubed

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

We must add the two previous numbers to get the next term:

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89

Answer:

so the answer goes as stated in the picture my advice is to always work from the middle then subtract outwards

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\\ 10\overline{|\smallspace170}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace7\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace7\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]