Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h. Part A Write the function that models their distance from home as a function of time. f(x) = x + Part B What is a reasonable domain for this situation? ≤ x ≤

Given :

Greg earns a salary of $300 per week plus an additional  6% commission on his sales.

To Find :

If his weekly salary  increases by $50 and his commission increases to 7%  how much will Greg earn if his weekly sales are  $4,000.

Solution :

New weekly salary, S = $( 300 + 50 ) = $350 .

New commission on $4000 sales :

[tex]C=\dfrac{4000\times 7}{100}= \$280[/tex] .

Therefore, total earning T = S + C = $( 350 + 280 ) = $630 .

Hence, this is the required solution.

Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line passing through the origin.

The only straight line graph passing through the origin is the top one

The graph on option A displays a proportional relationship.

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line on the graph is given as:

y = mx + c ____(1)

The graph on option A.

If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.

We will select two points on the graph.

i.e

(2, 2) = (a, b) and (3.3) = (c, d)

Slope:

m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1

Let (2, 2) = (x, y) and putting in (1) we get,

2 = 1 x 2 + c

2 = 2 + c

c = 2 - 2 = 0

c = 0

The slope of the line is 1

The equation of the line is y = x

Thus,

The graph displays a proportional relationship.

Option A is the correct answer.

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Answer:If you’re doing edge I can give you tips.

Step-by-step explanation:

Answer:

what do u need help with

Step-by-step explanation:

calm down! its gonna be all good

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

Answer:

I believe its A. 7/16 inches per hour

Step-by-step explanation:

This is wrong don't put this

Answer:he would miss three times

Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.

Answer: the answer is 72

Step-by-step explanation: add 3+9 in the parenthesis. 3+9=12Then multiply 12 and 6 which is 72

Answer:

nonlinear

Step-by-step explanation:

sorry if im wrong

Answer:

Linear

Have a great day! :)

See attachment for math work and answer.

Answer:

a = 11 , b = 2

Step-by-step explanation:

[tex]\frac{(4-\sqrt{5})(4+\sqrt{5}) }{2\sqrt{11}} = \frac{ \sqrt{a}}{y} \\Hence,\\\frac{4^2-(\sqrt{5})^2 }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{16-5}{2\sqrt{11} } = \frac{ \sqrt{a}}{y}\\\frac{11}{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11}*\sqrt{11} }{2\sqrt{11}} = \frac{ \sqrt{a}}{y}\\\frac{\sqrt{11} }{2} = \frac{ \sqrt{a}}{y}\\a=11,b =2[/tex]

Answer:

$2.69

Step-by-step explanation:

here is with distribution...

1. add all the original prices together

2.50+4.95+6.00=13.45

2. multiply that sum(13.45) by 0.2(0.2 IS THE 20% OFF)

13.45x0.2=2.69

FINAL ANSWER: $2.69

Answer:8x^2-4x-5

Step-by-step explanation:just subtract

Answer:

I got 8x^2-4x-5 but I'm not super sure

Step-by-step explanation:

Answer:

daddy chill

Step-by-step explanation:

what does te guy say?

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3

Answer:

The probability that the next customer will pay with credit card is approximately 0.33

Step-by-step explanation:

The given parameters are;

The number of customers that paid cash = 80 customers

The number of customers that used a debit card = 7 customers

The number of customers that used a credit card = 42 customers

The total number of different payments made = 80 + 7 + 42 = 129 payment

Probability = The number of desired outcome/(The number of possible outcome)

The probability that the next customer will pay with credit card = (The number of customers that used a credit card)/(The total number of different payments made)

∴ The probability that the next customer will pay with credit card = 42/129 ≈ 0.33 to the nearest hundredth.

Answer:

x-intercept= ( 0.9, 0)

y-intercept= (0,-3)

Step-by-step explanation:

Graph out the equation and look for the x and y intercept.

Answer:

653

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 feet *12 inches per foot= 144 inches

144/4=36 stickers

Answer:

We expect 900 students to borrow library books

Step-by-step explanation:

Proportions

If two variables are proportional, then one of them can be obtained as the other times a fixed number.

If x and y are proportional, then:

y=k.x

Where k is the constant of proportionality

The value of k can be obtained by dividing y/x.

That division, also called ratio gives us the proportion to be applied to future calculations.

In Sophia's class, 3 out of 4 students borrowed library books.

This gives us a proportion ratio of 3/4.

If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have

3 / 4 * 1200 = 900 students borrowing library books.

We expect 900 students to borrow library books

Answer:

Domain: (-∞, ∞)

Range: (-∞, -3]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

We know that the parabola will continue indefinitely, hence we use infinity. Our domain would then be from negative infinity to positive infinity, because we can plug in any number x.

We see the from the graph that the y-value is actually restricted. We have a max value of y = -3, and the graph will never go higher than that. Therefore, our range spans from negative infinity to -3.

Step-by-step explanation: The range of a function

is the set of all y values of the function.

The y values on a coordinate system are the up and down values.

Our parabola is expanding infinitely downwards but

it never goes above the y value of -3.

So we say that the range of this function is {y: y ≤ -3}.

The domain is the set of all x values or left and right values.

Since it's expanding infinitely to the left and right,

we say that the domain is the set of all real numbers or R.

Answer:

On Tuesday

591 burgers are sold.

Some are hamburgers and some are cheeseburgers.

59 fewer cheeseburgers sold than hamburgers.

Number of cheeseburgers --> x

Number of hamburgers --> y

x+y= 591 --> x = 591-y

x = y-59

so

591-y = y-59

-2y = -650

y = 325

so

x = 325-59

x =266

The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.

Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:

1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).

2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).

Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:

H + (H - 59) = 591

Now, combine like terms:

2H - 59 = 591

Next, isolate the term with H:

2H = 591 + 59

2H = 650

Now, solve for H:

H = 650 / 2

H = 325

So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:

C = H - 59

C = 325 - 59

C = 266

They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.

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Answer:

Step-by-step explanation:

[tex]\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6[/tex]

Answer:

13/99

Step-by-step explanation:

First convert the expression, turn 13 into 13/1: 13/1 × 1/99

Next you multiply: 13/1 × 1/99 = 13/99

Answer:

Associative Property

Step-by-step explanation:Because it includes grouping of three numbers and the parentheses group around two different numbers

Answer:

(3-21)-(7+6) = -31

Step-by-step explanation:

3-21 = -18 - 13= -31

Answer:

$39

Step-by-step explanation:

Given parameters:

Cost of ingredient  = $9.75

Number of people  = 6 people

Unknown:

How much will it cost to serve 24 people  = ?

Solution:

To solve this problem, let us find the rate of each recipe per person;

 Rate  = [tex]\frac{Number of people }{Cost of ingredient}[/tex]

Insert parameters and solve;

 Rate = [tex]\frac{6}{9.75}[/tex]   = 0.62people/$

For 24 people, it will cost;

  Cost of ingredient  = [tex]\frac{Number of people }{rate}[/tex]  

 Cost of ingredient  = [tex]\frac{24}{0.62}[/tex]   = $39

Answer:

39

Step-by-step explanation:

edu asinment 100 % no flex

Answer:

x = 56°

Step-by-step explanation:

cos(x) = adjacent/hypotenuse

cos(x) = 5/9

      x  = [tex]cos^{-1}[/tex](5/9)

      x  = 56.25°