A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours?
A y = 55x + 190
B y = 55x + 45
C y = 45x + 190
D y = 45x + 55

Answers

Answer 1

Answer:

D. y = 45x + 55

Step-by-step explanation:

If a computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment, we can say that;

when c1 = $190, t1 = 3

when c2 = $370, t2 = 7

c is the amount charged

t is the time taken

First thug is to get the slope;

slope = c2-c1/t2-t1

slope = 370-190/7-3

slope = 180/4

slope = 45

Next is to get the intercept by substituting m = 45 and (190, 3) into the standard form of the equation y = mx+c as shown;

190 = 45(3)+c

190 = 135+c

c = 190-135

c = 55

Substitute into the standard form of the equation;

y = mx+c

y = 45x + 55

Hence option D is correct


Related Questions

Write each phrase as an expression. 8 increased by a number x

Answers

Answer:

8x (i think is the answer)

Step-by-step explanation:

because the starting number is 8

and is being multiplied by unknown number (x)

Simon wants to build a cube-shaped storage container that holds 125 cubic feet of water for some frogs he recently purchased.Using the formula, V=s3, where represents the volume of the container and represents its side length, find the length of one side of the container.

Answers

Answer:

Length of one side of the container = 5 feet

Step-by-step explanation:

Given:

V = s³

Where,

V = volume of the container

s = side length of the container

V = 125 cubic feet

Find s?

V = s³

125 = s³

Find the cube root of both sides

3√125 = 3√s³

5 = s

s = 5 feet

Length of one side of the container = 5 feet

Divide using partial products 52/5 =

Answers

Answer:

um.. ok    the answer is 10 remainder 2

Step-by-step explanation:

5 goes into 52

10 times

Answer:

10.4

Step-by-step explanation:

A movie theater runs its films continuously. One movie runs for 85 minutes and a second runs for 110 minutes. The theater has a 5-minute intermission after each​ movie, at which point the movie is shown again. If both movies start at​ noon, when will the two movies start again at the same​ time?

Answers

Answer:

10:30PM on the next day

Step-by-step explanation:

First movie = 85mins

intermission = 5mins

  Total time = 90mins which is 1:30PM

so the first movie will start again at  1:30PM, which is at the interval of 90minutes and it will run continuously.

Similarly the second movie is 110 minutes long + 5mins intermission which is 115minutes

Time = 1:55PM

so the second movie starts again at 1:55PM and runs continuously at an interval of 115minutes.

We are interested to find when both the movie will start again at the same time, this will be least common multiple of 90 and 115.

LCM of 90,115 = 2070

Therefore after 2070minutes movie will start again at the same time.

2070mins = 34hours and 30 minutes

adding this with noon

10:30PM on the next day.

 

find the value of x

Answers

Answer:

79 degrees

Step-by-step explanation:

Quadrilaterals have a total of 360 degrees. They already gave you three of them so you just have to add all the given degrees and subtract it by 360. 101+124+56=281 ; 360-281=79

five less than three times a number is 1. What is the number?

Answers

Answer: 3 times a number can be written as 3x.

Five less than 3x means you must subtract 5 from 3x.

the word "is" means equals,

so 3x-5=10

Step-by-step explanation:

since it is given that 3 times a number less than five is 1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2

Complete each of the following statements given z = 1 - 2i and w = -3 + 5i

Answers

The answers would be z + w = -2 + 3i, z - w = 4 - 7i, and w - z = 4 + 7i after adding and subtracting two complex numbers.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that:

The complex numbers are:

z = 1 - 2i and w = -3 + 5i

z + w = 1 - 2i - 3 + 5i

z + w = -2 + 3i

z - w = 1 - 2i + 3 - 5i

z - w = 4 - 7i

w - z = 4 + 7i

Thus, the answers would be z + w = -2 + 3i, z - w = 4 - 7i, and w - z = 4 + 7i after adding and subtracting two complex numbers.

Learn more about the complex number here:

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Answer:

3

4

7

Step-by-step explanation:

got it right on edge

what is the equation of the line that passes through the points (2, 7) and is parallel to the line y= 4x+3

Answers

Answer:

y=4x+1

Step-by-step explanation:

7=4(2)+c

c=1

y=4x+1

Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15? Jada's family bought 50 tacos for a party and paid $72. Were Jada's tacos the same price as Noah's tacos?

Answers

Answer:

-Noah could buy 10 tacos for $15.

-Jada's tacos were not the same price as Noah's tacos.

Step-by-step explanation:

You can use a rule of three to find the amount of tacos that Noah could buy with $15:

$6  →  4

$15 →  x

x=(15*4)/6=10

At this rate, Noah could buy 10 tacos for $15.

Now, to find out if Jada's tacos were the same price as Noah's tacos, you have to find the price per taco in each case by dividing the amount paid by the number of tacos bought:

Noah: 15/10=1.5

Jada: 72/50=1.44

According to this, Jada's tacos were not the same price as Noah's tacos.

ANSWER THIS EMMEDIATELY
I WILL MARK BRAINLEIST ANSWER... ;-;​

Answers

(0.3) (2,-1) (5,-7) (8, -19) please double check this before you write it down

1 point
3. A city had a population of 150,000 people in 1990. The population
growth of the city is represented by the equation p = 5t + 150, where p is
the population in thousands and t is the time in years since 1990. In what
year will the population have doubled? *
1993
2000
2020
2030
4. What type of correlation is represented by the data in the scatter plot? *
1 point

Answers

300 = 5t + 150
150 = 5t
30 = t
1990+ 30 = 2020




Which of the following number lines represents the solution to the compound inequality 2x+ 9 <3 or -3x +4<(or equal to) -11 ?

Answers

i’m pretty sure it’s d

Question 2 (2 points)
(08.06)
Using the graph below, calculate the average rate of change for f(x) from x = 0 to x=2.

a: x=-4
b: x=-2
c: x= 2
d: x= 4

Answers

Answer:

Option (D)

Step-by-step explanation:

Formula to get the average rate of change of the function f(x) between two points x = a and b is,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

We have to calculate the average rate of change between x = 0 and x = 2.

From the graph attached,

f(0) = -2

f(2) = 6

Therefore, average rate of change = [tex]\frac{6-(-2)}{2-0}[/tex]

                                                          = [tex]\frac{8}{2}[/tex]

                                                          = 4

Option (D) will be the correct option.

Al Jebra is ordering his new bicycle from Brenda's Bike Boutique. Al knows that he wants the Grand Touring model which has 14 choices for the color, and comes with or without a sidecar, with or without phone mount. How many unique versions of the Grand Touring bike are available?

Answers

Answer:

the number of unique versions of the Grand Touring bike is 56

Step-by-step explanation:

The computation of the number of unique versions of the Grand Touring bike is shown below:

Here there are 14 color choices

Now each color could be with or without phone mount so it would be

= 14 × 2

= 28

And, each model could be sidecar or without sidecar so it would be

= 28 × 2

= 56

Hence, the number of unique versions of the Grand Touring bike is 56

(GR.7MATH)

Can somebody plz answer all of these correctly.. I’m a little confused :)
(OnLy answer if u done it before)
WILL MARK BRAINLIEST)

Answers

Answer:

kkajjjssnensi

Step-by-step explanation:

hdhdb

jakakke

jjwjne

kakam

Answer:

31. -12, -2

32. 6, -3

33. -4, 4

34. 8, 1

35. -6, 2

36. -3, 2

37. -6, -5

38. 8, -9

39. 7, 0

Step-by-step explanation:

31. -12 + -2 = ‐14 and -12 x -2 = 24

32. 6 + -3 = 3 and 6 x -3 = -18

33. -4 + 4 = 0 and -4 × 4 = -16

34. 8 + 1 = 9 and 8 x 1 =8

35. -6 + 2 = -4 and -6 x 2 = -12

36. -3 + 2 = -1 and -3 x 2 = -6

37. -6 + -5 = -11 and -6 x -5 = 30

38. 8 + -9 = -1 and 8 x -9 = -72

39. 7 + 0 = 7 and 7 x 0 = 0

Peter bought 8 lemons for $6. Each lemon was the same price.
What was the cost of 1 lemon?

Answers

Answer:

The price for 1 lemon is $0.75

Step-by-step explanation:

8x=$6

8x/8=6/8

x=$0.75

Figure H was reflected across line L resulting in figure H'. Describe a translation that would map figure H' back onto Figure H

Answers

Answer:

Reflecting it over line L again

Step-by-step explanation:

This is too simple to explain in detail,

if you flip it over, flip it over again.

please help me with this ​

Answers

Answer:

y = [tex](x - 2)^{2}[/tex]

Step-by-step explanation:

the graph shows the vertex is (2,0); which means it is

y = [tex](x - 2)^{2}[/tex] which show 2 units to the right on the x-axis and staying at y=0

You started a savings account with $125. Every month, you deposit $55 into your savings account. What is the linear equation that represents this relationship? y=55x−125y is equal to 55 x minus 125 y=125x+55y is equal to 125 x plus 55 y=55x+125y is equal to 55 x plus 125 y=125x−55

Answers

Answer:

Step-by-step explanation:

Given Initial deposit = $125

If each moth $55 is being deposit, the balance each month will form an AP as shown;

125, 180, 235...

The nth term of the AP is expressed as;

y = a + (x-1)d

a is the first term = 125

d is the common difference = 180- 125 = 235-180 = 55

Substitute

y = 125 + (x-1)55

y =125+55x-55

y = 70+55x

y = 55x + 70

The principal of a large high school wants to learn about student opinion regarding remote learning versus in person learning. Each of the following methods introduces a possible source of bias. Name the type of bias . a. The principle selects a random sample of students from those who signed up for remote learning. b. The student emails a random sample of 100 students, but only 28 students respond . c. The principal surveys the first 50 students that submit their learning preference for the upcoming school year.

Answers

Answer:

Step-by-step explanation:

the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.

Bias occurs when a particular portion of the population is given more weight or have a higher priority during sample selection which in turn affects the outcome and result of our result as it won't be representative of the population. The type of bias introduced in the scenarios above are :

Selection bias Non - response bias Undercoverage bias

Selection bias occurs when only a particular faction of the population is used rather than the entire population during sample selection. Rather than making selection from the entire students, only those who signed for remote learning were sampled.

Non - response bias occurs when a large portion of the selected sample fail to participate in a survey. With only 28% response and 72% non - responsive. Non - response bias has creeped in.

Undercoverage bias is usually associated with convenience sampling as the selection made might fail to randomly cover the entire population.

Hence, selection, non - response and Undercoverage bias are present in the selection made by the principal.

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In the figure above, lines l and m are parallel and lines s and t are parallel if the measure of <1 is 35, what is the measure of 2

Answers

Answer: 145

Step-by-step explanation:

145 degrees

The measure of angle ∠2 in the triangle is 145.

Option D is the correct answer.

We have,

From the figure,

The s and t lines are parallel.

The l and m lines are parallel.

Now,

∠1 and ∠a are corresponding angles.

∠b and ∠a are corresponding angles.

This means,

∠1 = ∠a = ∠b = 35

Now,

∠2 and ∠b add up to a straight angle.

This means,

∠2 + ∠b = 180

∠2 + 35 = 180

∠2 = 180 - 35

∠2 = 145

Thus,

The measure of angle ∠2 is 145.

Learn more about corresponding angles here:

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trying this again not sure if it went through the first time

Answers

The picture is really blurry for me. I can't read it...

What is the definition of a relation?
An association between two sets of data
Ordered pairs where each x-value is paired with only one y-value
The rules applied to a number
A set of data with a defined rule

Answers

Answer:

i did not understant your question

i think u want the definition of relation

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation. A function is a type of relation.

Step-by-step explanation:

plssssssssssss markkkk meee brainlist

A relation is a collection of Ordered pairs where each x-value is paired with only one y-value.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of x for which [y] exists.

Given is the graph of a equation

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x, y) is in the relation.

Therefore, a relation is a collection of Ordered pairs where each x-value is paired with only one y-value.

To solve more questions on functions and relations, visit the link below -

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Find the distance between the points (3, 9) and (-9, -7).

Answers

Answer:

20

I hope this helps!

In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars

Answers

Answer:

7/8

Step-by-step explanation:

In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars?

To solve the above, we add all the fractions together.

= Incisors + Premolars + Molars

= 3/8 + 1/4 + 1/4

Least Common Denominator = 8

= (3 × 1 + 2× 1 + 2 × 1)/8

= 3 + 2 + 2/8

= 7/8

Hence, the fraction of all the teeth are incisors, premolars, and molars is 7/8

25 POINTS!!!
Need Help! Find x, y, and z!
x³+y³+z³=k

Answers

Answer: N/A

Step-by-step explanation: you would need K in order to find the value of X,Y,Z

Answer:

If k = 99

then

x = 8

y = 27

z = 64

Step-by-step explanation:

You have to use a different number for each letter so you can but in any combination the answer just has to make sense as in you added up x, y, and z to get k.

What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275? step by step how to get +1.09

get marked the brainliest

Answers

mu = 1100 = population mean

sigma = 275 = population standard deviation

x = 1400 = raw score

z = z score

z = (x-mu)/sigma

z = (1400-1100)/(275)

z = 300/275

z = 1.0909090909091 approximately

z = 1.09

Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).

The positive z score is due to Paula's raw score being above the mean.

4x = 28, then x=.......................

Answers

Answer:

x=7

Step-by-step explanation:

28/4=7 or 4*7=28. you just multiply or divide to find your answer

Skylar mowed 16 lawns in 12 hours. What was her rate of mowing in lawns per hour?

Answers

16 / 12 = 1.3333
Answer: she mowed 1 1/3 lawns per hour.

1pt. A roller coaster car is released from a standing start at the top of a 20.0-m hill. The car rolls down the hill to a point 10.0 m
above the ground, then up a second hill to 15.0 m, and then down again to point X at 8.00 m above the ground. Use what
you know about the sum of the kinetic and potential energies to find the car's speed at X.
A. 11.7 m/s
B. 12.5 m/s
• C. 15.3 m/s
D. 19.8 m/s






who can help me get 2 brinliest

Answers

Answer:

b 12.5

Step-by-step explanation:

-20 with 10 then -8

love you josh

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Find the word that acts as either a predicate noun or predicate adjective in the sentence. Then tell which of the two it is.Your work is almost always neat. The sentence to the left, the word___ is a predicate___.A.is A.nounB.work B.adjectiveC.neatD.veryE.always Explain at least three ways in which a mutation in an individual's DNA could occur, and describe at least 2 effects a mutation could have on an individual's traits what can you infer about what Nellie Bly is like as a reporter and a person?write a reponse in which you describe Nellie based on what you learn about her from the passage, John Wilkes Booth's assassination plan was for more than Lincoln. Check the other men that his plan included. Classify the following triangle by its side lengths: HELP PLSSWhat is the slope of the line that passes through the points (-2, -5) and (6, 7)? How many solutions does the equation below have?2x7+19=6x4x+12A.Infinitely many solutionsB.No solutionC.1 solutionD.2 solutions What 10 x 13x 5 x6 x8 x9 x9 x0 Marit Brunsell deposited $50,000 at Bank of America at 8% interest compound quarterly. What is the effective rate (APY) to the nearest hundredth percent? Please write a cer for this Question: What do you believe was the biggest hardship for Native Americans due to the enactment of The Dawes Act? How did American soldiers react to the liberation of concentration camps? Return-from-trap instruction returns into the calling user program while simultaneously reducing the privilege level back to ________ Select one: a. User mode b. Kernel mode c. OS mode d. CPU mode Solve for x in the equation4*+2=1 The vertices of a rectangle are R(5, 5), S(1, 5), T(1, 1), and U(5, 1). After translation, R' is the point (11, 11). Find the translation rule and coordinates of U'. Little Billy lay down in his racecar-shaped bed and tried to sleep. Suddenly, the shutters of his window began to rattle and the knob of his bedroom door started twitching. Billy sat up. The door flew open and the ghost of the house's previous owner floated in, his clothing in rags, his face covered in scars, his shoulders hunched from the many chains draped over his torso. "I must have vengeance!" the ghost declared. "Well, go have vengeance somewhere else tonight," said Billy, as he sighed. "I have school tomorrow." He plopped back down, covered up, and went to sleep. Which statement best explains how the plot of the story helps develop the main character? Mis amigos y yo ____________________ enfermos.a.estamos b.somosPlease select the best answer from the choices provided A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product? PLEASE HELP ME !When did whale ancestors begin living full time in the water?A) before they nursed under waterB) after they began eating a carnivorous dietC) before they evolved gillsD) after they lost their hind legs 17. Las magnitudes de valor en que se intercambian los productos del trabajo cambian constantemente, independiente de los actos de los sujetos del intercambio, lo que da origen a un fenmeno especial En qu consiste ese fenmeno? When did high school educationbecome more widespread in theUnited States?