The cost for an order of 100 kilograms of steel bars is $230. The cost for an order of 150 kilograms of steel bars is $320. Write an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x). Show or explain how you found your equation.

Answers

Answer 1

Answer:

y = 9x/5 + 50

Step-by-step explanation:

We are represent the information as coordinate (x,y)

If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)

Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;

(150, 320)

Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope;

m = y2-y1/x2-x1

m = 320-230/150-100

m = 90/50

m = 9/5

Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c

230 = 9/5(100)+c

230 = 9(20)+c

230 = 180 + c

c = 230-180

c = 50

Get the required equation

y = mx+c

y = 9/5 x + 50

Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50


Related Questions

Daniela got 78% on her last history test. If there were 50 questions on the test , how many did she get correct

Answers

Answer:

39.

Step-by-step explanation:

78% of 50 is 39. To calculate x% of a number y, we use the following rule: x% of y = (x / 100) × y.

James wants to buy some CDs that cost $14 each and a DVD that costs $23. He has $65. Write an equation (in the Show your work area) and solve to find how many CDs he can buy. Include "CD" in your answer.

Answers

Answer:

3

Step-by-step explanation:

65-23= 42

42/14= 3

Answer:

14x+23 =65 x=3CDs

Step-by-step explanation:

So for any question where you need to write your own equation, it is first necessary that you determine what each number in the problem means in order to determine where they should go. James has $65 so the equation needs to be set equal to 65. The problem says he wants to buy a DVD for $23 so that would be a constant $23 spent regardsless of how many CDs he buys. We are trying to use the equation to determine how many CDs James can buy so the number of CDs is the x value at $14 each which would be 14x in the equation. so the equation would be the 14x for the unknown number of CDs, plus 23 for the constant DVD that James would buy set equal to the $65 he can use to buy everything.

To solve the equation, you must now isolate for x. To start, cancel out the +23 on the left side by subtracting 23 from both sides. This will leave 14x=42. You must then cancel the 14 by dividing both sides by 14 leaving your answer of x=3CDs.

I hope this helps.

4 across + 23 across =

Answers

Answer:

27 across

Step-by-step explanation:

4 + 23 = 27

Factor 72x−18xy
Find the Factor of 72x-18xy

Answers

Answer:

4x and (1-y)

Step-by-step explanation:

4x(1-y)

this is my answer

The factors of the expression are 18x and 4-y

Given the expression 72x - 18xy

Find the factor of each term:

72x = 18 * 4 * x

18xy = 18 * x * y

Since 18x is common to both terms, hence the factored form is expressed as:

72x - 18xy = 18x (4 - y)

The factors of the expression are 18x and 4-y

Learn more on factors here: https://brainly.com/question/24539261


I need help asap
Less then 5 minutes

Answers

Answer:

um well he would be well rested so he would score higher than others but I'm not sure on the exact number maybe around 90-100

How much interest is earned in two years in a investment of 2,000 and the interest rate is 3%

Answers

Answer: $1,140

Step-by-step explanation:

2000 x .03 = 60

60 x 24 months = $1,140

3x−6 = 9
please answer








i lost 1000 points and 10 brainliest because someone reported and got all my answers taken down. smh

Answers

the answer is 5 because you have to add 6+9=15 then divide 3x and 15 and that makes x=5

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3x - 6 = 9

Step 2: Solve for x

Add 6 to both sides:                    3x = 15Divide 3 on both sides:                x = 5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(5) - 6 = 9Multiply:                               15 - 6 = 9Subtract:                              9 = 9

Here we see that 9 does indeed equal 9.

∴ x = 5 is the solution to the equation.

Can I get help solve to find X?

Answers

Answer:  x = 14

==========================================

Explanation:

The same tickmarks on each side of the triangle tells us that all three sides are the same length. This triangle is equilateral.

All equilateral triangles have each of their three angles at 60 degrees (they are considered equiangular). This is because 60+60+60 = 180.

Set 2x+32 equal to 60 and solve for x

2x+32 = 60

2x = 60-32

2x = 28

x = 28/2

x = 14

As a check,

2x+32 = 2*14+32 = 28+32 = 60

which helps confirm the answer.

all you need is in the photo
please answer fast​

Answers

The statement “five-ninths” implies that it is equivalent to 5/9 or five-ninths and only B mentions the compatible answer.

Have a good day/evening/night.

Polina the Polar Bear sat on an ice floe in the Arctic Ocean, north of Alaska. Polina was waiting for her mother, Bearnice, to return hwith some tasty seal blubber for lunch. Bearnice was hunting, waiting for seals to come up for air through holes in the ice, the same way Polar Bears have hunted in the winter for centuries. Except this year there was one big difference.

A lot more of the ice had melted last summer, and this winter it hadn’t refrozen as usual. A combination of warmer weather and changes in water and air currents was making the ocean warmer than anyone could remember, and Bearnice had to swim farther every day to find a good hunting spot.

As Polina waited for her mother to bring food back to her floe, the ice shrank bit by bit until she was sitting on very thin ice. As Polina waited helplessly, the furry white cub heard a deep voice coming from the direction of the sea.

“Hellooo little bear,” it said. Polina had never heard such a deep voice. She lifted her tired head to look out over the water, and was surprised that the voice seemed to come from a dark ice floe just offshore.

"No, wait!" It had a huge eyeball that was looking directly at her. It wasn’t an ice floe — it was the largest whale Polina had ever seen. It was also the first whale that had ever spoken to her.

“They call me Farswimmer,”said the whale, “because I travel all over the world, having adventures and learning new things. What brings you here alone, Polar Bear?” Farswimmer was very old, and he had seen many changes in his years of exploring the oceans. He certainly knew more about the world than most polar bears.

Farswimmer seemed like a nice whale, but Polina remembered Bearnice, her mother, and how she hadn’t come back from hunting.

Farswimmer blew a tall spout to distract Polina and stop her from crying.

When Polina told the whale her own story, he said, “I’m headed north anyway. You could ride on my back, and we can look for your mother. Are you ready for an adventure?” The next morning, Farswimmer and Polina charted their course and took off. Polina rode Farswimmer’s back and sometimes floated behind him, holding his tail. She also stood on his back and pretended she was surfing. It was a blast.

They took a break on an ice floe. Soon, they saw something in the distance that looked like another ice floe, but just to be sure, Farswimmer left Polina on the ice and swam to the floating object.

It wasn’t an object. It was an animal. Farswimmer used his fat nose to push the animal to Polina’s icy raft. When they got closer, Polina saw a familiar face.

“Mommy,” she yelped. Bearnice was very tired, but the sound of her cub’s voice made her happy. She opened her arms and the two embraced each other in a big bear hug.

Read the passage on the left to answer the following questions:
1)
What is the main conflict in this story?
A) Farswimmer cannot find Polina's mother.
B) Polina's mother is unable to find any seals to feed Polina.
C) Bearnice decides that she wants to let her daughter live alone.
D) The ice is melting around Polina, and her mother hasn't returned.
2)
Which statement best describes the relationship Polina the Polar Bear and the whale Farswimmer?
A) Polina is angry at Farswimmer for being so large and scary.
B) Farswimmer has no interest in helping Polina find her mother.
C) The whale Farswimmer is kind and helpful to frightened Polina.
D) Polina is in love with Farswimmer the whale and wants to run away with her.
3)
How is Farswimmer characterized in this story?
A) as an unhappy and mean whale
B) as a kind and wise old whale
C) as an indifferent, cruel creature
D) as a simple-minded, innocent creature
4)
Which BEST describes the characters in this story?
A) Farswimmer is old and Polina is young. They can both talk.
B) Farswimmer and Beatrice are both old. They can both talk.
C) Farswimmer and Polina are both young and can both talk.
D) All three are young and can talk.
5)
What is the setting of this story?
A) a warm Mediterranean sea
B) the endless ice of Antarctica
C) an Eskimo village in the snow

Answers

C) Farswimmer's dialogue reveals him to be a generous, kindly, old whale.

Find the missing values in the ratio table.
for every 81 girls, there are 72 boys

Answers

Answer:

its d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We know that for every 81 girls, there are 72 boys so how do u get 81? You'd have to multpify 9x9 = 81 and 8x8= 72 so the ratio is 8:9

NEED HELP ASAP PLEASE!!!!!!!!!

Answers

Answer:

1) m=-7/5

2) m=-7/5

3) parallel

Step-by-step explanation:

the first part:

graph the points and then find the slope

m=-7/5

the second part:

slope= m in y=mx+b

m=-7/5

the last part:

they are parallel because they have the same slope

Answer:

slope of two points is m=-7/5

SLOPE OF THE EQUATION GIVEN -7/5

PARALELL

Step-by-step explanation:

PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!

Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)

Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)

Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)

Part D: f(x) = 4x - 3. Find f(5) (2 points)

Answers

Hey I just want you know that I was going on a question about the next week of the following day and I am not going on vacation yet I will have a good day at work and I)7 be 88

Ducklings cost $15 each. Chicks cost $12 each. You have $60 to spend on poultry

Answers

Answer:

If your question is how much money you have after you purchase a duckling and a chick, your answer would be $33. It seems to me like you posted the question without finishing it. I'm guessing you were about to mention how many ducklings and chicks you were going to buy and how much money you would have leftover for the poultry.

Step-by-step explanation:

To solve your problem you must add what you're buying and then subtract from your original amount.

For example: if you want one duckling and one chick and you would like to know how much money you have leftover to buy poultry. $15 + $12= $27 dollars in all. Then, you will subtract $27 dollars from $60, this way you know how much money you will have left in order to buy the poultry. $60 - $27= $33.

Probability 1 There is a chance of a spinner landing on blue. Which statement is true? A lis unlikely that the spinner lands on blue. B. It is likely that the spinner lands on blue. C. It is impossible for the spinner to land on blue. D. It is certain that the spingerlands on blue.​

Answers

Answer:

B makes most sense.

Step-by-step explanation:

WHAT IS 5+5+5+5?WHAT IS 5+5+5+5?

Answers

Answer:

Step-by-step explanation:

20?

Answer: 20

Explanation:

5x4=20

Brian bought 54 tangerines. He gave away 2/3 of them and ate 1/6 of the remainder. How many tangerines did he have left?

Answers

Answer:

6

Step-by-step explanation:

2/3 of 54 is 36. 1/6 of 36 is 6.

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer

the answer would be

D(5,-2).

Answer:

D(-6, 1)

Step-by-step explanation:

To determine the solution we can start by calculating the slope of AB;

A(-1, 4), B(2, -5)

m = -5 - 4 / 2 - (-1) = -9 / 3  = -3

Then CD, if to be perpendicular, should have the 'negative reciprocal' of the slope of AB. In other words it should have a slope of 1/3. We are given point C as (3, 4) so let's take each of the given options for point D, and find the slope using the two points. If the slope is 1/3rd then that  is the correct option.

Now I already know the answer, so instead of going through all the options I will just check the slope with the correct answer choice. You will find the slope to be 1/3rd;

C(3, 4), D(-6, 1)

m = 1 - 4/- 6 - 3  = -3/-9 = 1/3rd

Correct, as you can see

So your solution is option c

What is the slope passing through the points (6,5) and (5,3)

Answers

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 5)

Point (5, 3)

Step 2: Find slope m

Substitute [SF]:                    [tex]m=\frac{3-5}{5-6}[/tex]Subtract:                              [tex]m=\frac{-2}{-1}[/tex]Divide:                                 [tex]m=2[/tex]

Cody's Cafe uses 1 7/10 bags of coffee every day. How many days will 6 4/5 bags of coffee last?

Answers

Answer:

64/5 bags=128/17 days

Step-by-step explanation:

soln:

given,

17/10 bags=1 day

64/5 bags= ?

we know,

1 bag=10/15 day

so,

64/5 bags=10/15*64/5

•°•64/5 bags=128/17 days

I need help on this problem!

Answers

Answer:

Blank 1: 1

Blank 2: -19

Blank 3: 4

Blank 4: 96

Step-by-step explanation:

-1+4=3

3/3=1

3(-5)-4=-19

8+4=12

12/3=4

3(100)-4=96

What is the value of s ?
Please help
No guessing

Answers

Answer:

s = 17

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

where a = 8

           b = 15

           c = s (which is unknown)

plugin values into the formula:

a² + b² = c²

8² + 15² = s²

s = √(64 + 225)

s = √289

s = 17

Help and I’ll give brainliest

Answers

Answer:

They purchased 11 Packets

Step-by-step explanation:

C=11p + 30

I need help with this question. Thank you so much!

Answers

Pretty sure it’s going to be D.

Answer:

D. -5

Step-by-step explanation:

Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8

Answers

i think it’s answer 8

i don't how to do this problem 2(x−2)−4x−5= 29

Answers

Answer:

= − 1 9

Step-by-step explanation:

Factor the following expression completely 16x^2-49

Answers

Answer:

(4x+7)(4x-7)

Step-by-step explanation:

also please explain
m=?
b=?
equation=?

Answers

Answer:

Decimal form: y = -3x + 1

Exact form: y = -3x + 1

m (slope)= -3

b= 1

A peach pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one slice of pie that contained exactly 5 peaches, what wqs the angle measure of the slice to the nearest tenth of a degree?

Answers

Answer:

138.5°

Step-by-step explanation:

A peach pie is in the form of a circle. The sum of angles in a pie is equal to 360°.

Since there are 13 peaches evenly distributed, therefore each peach occupies 360/13 degrees.

Joe ate one slice of pie that contained exactly 5 peaches, hence:

Angle measure of slice = (number of peaches in the slice / total number of peaches) * 360°

Angle measure of slice = (5 / 13) * 360°

Angle measure of slice = 138.5°


Y-3 = -(x-2)
in slope intercept form. Please show work.

Answers

Answer:
Y=-x+5

Write in slope-intercept form,
y=mx+b
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