A factory produces bolts at a constant rate. After 4 hours, 3,200 bolts have been produced. Which graph models a relationship with the same rate?

A Factory Produces Bolts At A Constant Rate. After 4 Hours, 3,200 Bolts Have Been Produced. Which Graph
A Factory Produces Bolts At A Constant Rate. After 4 Hours, 3,200 Bolts Have Been Produced. Which Graph

Answers

Answer 1
Answer is D. Because 3,200 bolts at 4 would be 800 per hour which matches up with the graph
Answer 2

The graph that models the relationship between the factory production and the time is the graph in option D

The number of bolts produced within four hours is 3200

The rate of production is the ratio of the change in the number of bolts produced to the the change in time

Change in the number of bolts produced, ∆y = 3200 bolts

Change in time, ∆t  =  4 hours

Rate of change = ∆y / ∆t

Rate of change = 3200/4

Rate of change = 800 bolts per hour

The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour

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Related Questions

−2p + 23 = 15

What does p =

Answers

Answer:

look at the picture .................

What is the slope of the line that passes through (0, 7) and (3, 10)?

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )

m = [tex]\frac{10-7}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

59 divided by 4=? PLEASE HELP!

Answers

Answer:

14.75

Step-by-step explanation:

56/4 = 14, 3/4 = .75

add them together

Answer: 14.75

Step-by-step explanation: yeah its 14.75  but if you want to simplify it, then its 14.8

which is a proportional relationship
y=x+1
y=3x+3
y=4x
y=8+x

Answers

Answer:

4=4x

Step-by-step explanation:

the formula y=mx+b

corresponds to y=slope+y intercept

all proportional relationships start on the origin so the y-intercept is always 0

the fact that the equation y = 4x doesn't have an intercept shows its proportional this can go with any similar equation like y = 4.5x

Drwa the staright line y = 2x-3

Answers

Answer:

The equation y = 2x - 3 represents a line with a slope of positive 2, and a y-intercept of -3.

Hope it helps :)

You would start at -3 on the number line and then move up 2 units and 1 unit right since your slope is 2/1

Pls help me with this question

Answers

Answer:

were is the qn?

Step-by-step explanation:

Unit 4 linear equations homework 9 parallel and perpendicular lines (day1) activity
Directions if segments AB and CD are parallel,perpendicular, or neither

Answers

The lines that are parallel continuously have equal distances from each

other and perpendicular lines form 90° angle at their intersection.

The correct responses are;

Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel. ║Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherSegment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherThe equations are parallel, ║The equations are perpendicular, ⊥The equations are perpendicular, ⊥The equations are neither parallel or perpendicular

Reasons:

Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel where; Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex]

[tex]\displaystyle \overline{AB} \ and \ \overline{CD} \ are \ perpendicular\ where; \ Slope \ of \ \overline{AB} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex]

[tex]1. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{13 - 3}{-2 - 0}} = \frac{10}{-2} = -5[/tex]

[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{3 - 0}{10 - (-5)} = \frac{1}{5}[/tex]

[tex]\displaystyle \mathbf{Slope \ of \ \overline{AB}} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]2. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{7- 1}{3 - (-6)}} = \frac{6}{9} =\frac{2}{3}[/tex]

[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{-5 - (-1)}{-6 - 0} = \frac{-4}{-6}=\frac{2}{3}[/tex]

Slope of [tex]\mathbf{\overline{AB}}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel

[tex]3. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{ \frac{2- 4}{-6 - (-2)} = \frac{-2}{-4}} =\frac{1}{2}[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{11 - (-7)}{-1 - 5} = \frac{18}{-6}=-3[/tex]

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular

[tex]4. \ \displaystyle Slope \ of \ \overline{AB} = \frac{8- 3}{-3 - 2} = \frac{5}{-5} =-1[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{6 - 2}{-4 - (-8)} = \frac{4}{4}=1[/tex]

[tex]\displaystyle Slope \ of \ \overline{AB} = \mathbf{-\frac{1}{Slope \ of \ \overline{CD}}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]5. \ \displaystyle Slope \ of \ \overline{AB} = \frac{-1 - 2}{-8 - (-4)} = \frac{-3}{-4} =\frac{3}{4}[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-3 - 6}{0 - 12}} = \frac{-9}{-12}=\frac{3}{4}[/tex]

Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel

[tex]6. \ \displaystyle Slope \ of \ \overline{AB} = \frac{5 - (-1)}{6 - 3} = \frac{6}{3} =2[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-5 - 7}{2 - (-4)}} = \frac{-12}{6}=-2[/tex]

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular

Directions: To determine if the equations are parallel or perpendicular

Solution:

The equations are parallel if when expressed in the form, y = m·x  + c, the value of m are equal

The equations are perpendicular, when we have;

[tex]\displaystyle The \ value \ of \ \mathbf{m} \ in \ one \ equation = -\frac{1}{The \ value \ of \ \mathbf{m} \ in \ the \ other\ equation }[/tex]

7. First equation

3·x + 2·y = 6

Therefore; [tex]\displaystyle y = -\frac{3}{2} \cdot x + 3[/tex]

Second equation; [tex]\displaystyle y = \mathbf{-\frac{3}{2} \cdot x + 5}[/tex]

The value of m which is the coefficient of x are both equal to [tex]\displaystyle -\frac{3}{2}[/tex]

Therefore, the equations are parallel

8.  Equation 1; 3·y = 4·x + 15

Therefore;

[tex]\displaystyle y = \frac{4}{3} \cdot x + 5[/tex]

Equation 2; 9·x + 12·y = 12

[tex]\displaystyle y = -\frac{9}{12} \cdot x + 1 = 1 - \frac{3}{4} \cdot x[/tex]

The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular

9. Equation 1: 8·x - 2·y = 4

Therefore;

y = 4·x - 2

Equation 2: x + 4·y = -12

Therefore;

[tex]\displaystyle y = -\frac{1}{4} \cdot x - 3[/tex]

The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular.

10. Equation 1: 3·x + 2·y = 10

Therefore;

[tex]\displaystyle y = -\frac{3}{2} \cdot x - 5[/tex]

Equation 2: 2·x + 3·y = -3

[tex]\displaystyle y = -\frac{2}{3} \cdot x -1[/tex]

The slopes of the equation 1 and 2 are not equal, and are not  the negative inverse of each other, therefore, the equations are neither parallel nor perpendicular.

Learn more about parallel and perpendicular lines here:

https://brainly.com/question/7197064

The minute hand of a clock turns 6 degrees per minute. In ten minutes the minute hand turns what fraction of a full 360 turn?

Answers

Answer:

25%

Step-by-step explanation:

15 times 6 is 90

90 is 25 % of 360

2. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.​

Answers

Answer:

i think the answer is 50 if not im sorry if there is another go for that one.

Step-by-step explanation:

PLEASE ANSWER QUICK

What is the domain of f?

Answers

Answer:

-7 ≤ x ≤ 7

General Formulas and Concepts:

Algebra I

Coordinate Planes

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph we can see that our x values span from -7 to 7. Since both are closed dot, they are inclusive in our domain:

[-7, 7] or -7 ≤ x ≤ 7

Answer:

A -7<=x<=7

Step-by-step explanation:

Domain is the set of x values which fulfill the function. We can tell from the graph that the x values start from -7 and last to 7. therefore the domain is A

HELP PLZZ!!!!!
Find x.

Answers

Answer:

6.1

Step-by-step explanation:

So you would use tan as u are looking for the opposite and already have the adjacent.

tan(22) x 15 = 6.06 or 6.1

Answer:

x = 6.06

Step-by-step explanation:

tan (22°) = x/15

0.404 = x/15

x = 6.06

How to solve the Expected value

Answers

Answer:

The expected value is 50 degrees.

Step-by-step explanation:

This circle has a perfect section of 50 degrees marked, then another unknown sector, and since they are marked with a congruent marker, that means they are the same! The unknown sector is 50 degrees in length.

On what interval is the function increasing.

Answers

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Which of the binomials below is a factor of this trinomial?
x² + x -20
O A. X+ 2
O B. X+4
O C. X-4
O D. X-2

Answers

Answer:

C. X-4

Step-by-step explanation:

x^2+x-20

=(x-4)(x+5)

Answer:

C.

Step-by-step explanation:

Sorry I Can't explain because I'm busy right now

An animal shelter receives a shipment of items worth a total of $1890. Large bags of dog food are $8
each, pet blanket are $5 each, and dog toys are $4 each. There are 5 bags of dog food for each dog
toy and twice as many blankets as dog toys. How many of each item were shipped?

PLS HELP!!!

Answers

Answer:

Food bags - 175, pet blankets - 70, dog toys - 35

Step-by-step explanation:

Given:

Dog food bags - f, cost of each $8, Pet blanket - b, cost of each $5Dog toy - t, cost of each $4Total cost $1890

Equations:

8f + 5b + 4t = 1890f = 5tb = 2t

Substitute values of b and t into first equation and solve for t:

8(5t) +5(2t) + 4t = 189040t + 10t + 4t = 189054t = 1890t = 1890/54t = 35

Find the values of f and b:

f = 5*35 = 175b = 2*35 = 70

The diagram shows a triangle ABC.
B
Not drawn accurately
12.5 cm
A
4.6 cm
Work out the area of the triangle.
Give your answer to 1 decimal place.


please help and show working

Answers

Answer:

A ≈ 5.8 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4.6 and h = 2.5 , then

A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )

Answer:

Step-by-step explanation:

What is (-2) power 35?

Answers

Answer: − 34359738368

The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?

Write your answer using a percent sign (%).

Answers

Answer:

10%

Step-by-step explanation:

1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%

Which answer is an equation in point-slope form for the given point and slope? point: (7, 4); slope: 6.

Answers

Answer: the answer is

y-4=6*(x-7)

Step-by-step explanation:

Given the expression -2 + x + (-5) what values of x will make the expression greather than zero? Create and inequality to represent your solution

Answers

-2+x+(-5) > 0  <=> x-7 > 0 <=> x > 7

ok done. Thank to me :>

Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year

Answers

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

(3x-6)/(x^2+2) what is the answer

Answers

If you are asking to simplify the answer is

help meeeeeee.....!!!!
I WILL MARK BRAINIEST!!!

Answers

You just plug 0 in for either x or y to get the other intercept since it’s in standard form
8x=35
X= 35/8
-7y=35
Y=-5
X-intercept: 35/8
Y intercept: -5

Answer:

X = 35/8

Y = -5

please answer and show work ill give u 70 point

Answers

1.answer

15/8-5/8=10/8answer

2.

9/5-1/5=8/5answer

3.3/2-1/2=2/2answer

Answer:

first question= 7/8

second question= 8/5

third question= 1

fourth question=23/8

fifth question=9/8

final question= 1/3

Step-by-step explanation:

1) 15/8 - 5/8 = 7/8

since the denominator is the same, it will be easier

do 15-8

which is 7

so the final answer is 7/8

(Remember that you don't subtract the denominator)

2) 9/5 - 1/5 = 8/5

Using the same method as the first question, you should get 8/5

8/5 as a mixed fraction would be 1 3/5

3) 1 1/2 - 1/2= 1

1 1/2 into a mixed fraction = 3/2

3/2-1/2

=2/2, which is 1

4) 3 1/4 - 3/8=23/8

3 1/4 as a mixed fraction is 13/4

so the equation would be 13/4 - 3/8

however, the denominator is not the same

and the least common multiple is 8

so 13/4 = 26/8

26/8-3/8= 23/8

5) 5/4 - 1/8 = 9/8

5/4 doesn't have the same denominator as 1/8, so you change it into 10/8

10/8-1/8

9/8

6) final question :)

5/6 - 1/2= 1/3

1/2 = 3/6

5/6-3/6

=2/6

after simplifying= 1/3

Hope it helps and have a nice day!

Mark me as branliest pls

Carrie, Maria, and Nayla are friends that live close to one another. Which two friends have the shortest distance between them?

a-Carrie and Maria

b-Maria and Nayla

c-Carrie and Nayla

d-All three live equal distances from each other.

Answers

The two friends have the shortest distance between them are Carrie and Nayla.

In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.

The first step is to determine the value of x:

20x + 7) + (5x + 50) + (5x + 3) = 180

Add similar terms togethers

30x + 60 = 180

Combine similar terms

30x = 180 - 60

30x = 120

x = 120 / 30

x = 4

The second step is to determine the value of each angle

Nayla = 20(4) + 7 = 87

Carrie = Second angle = 5(4) + 50 = 70

Maria = Third angle = 180 - (70 + 87) = 23

Nayla and Carrie live closest to each other

Please find attached the image required to answer this question. TO learn more, please check: https://brainly.com/question/2390433

PLSSSSS I REALLY NEED HELP IT IS DUE VERY SOON AND THIS IS MY LAST QUESTION I AM BEGGING EXTRA POINTS WILL BE INCLUDED FOR WHOEVER ANSWERS! GRAPH AND TABLE INCLUDED! the graph shows the relationship between the distance that a snail crawls and the time that it crawls. a. Use the points on the graph to make a table. b. Write the equation for the relationship and tell what each variable represents.

Answers

Answer: y=10x

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is y=1x+2

The table shows the number of pages a student reads and how many
minutes it takes the student to read those pages.
Number of Pages Read
Number of Number of
Pages Minutes
9.0
6
13.5
8
18.0
4
Which statement best describes the relationship in the table?

Answers

Answer:

the unit rate is 2.25

Step-by-step explanation:

4×2.25=9.0

6×2.25=13.5

8×2.25=18.0

A circle with a circumference of 6 has an arc with 20 central angle

Answers

Answer: 0.3 units

Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot. 10. 4 feet by 7. 4 feet 11. 1 feet by 8. 1 feet 13. 4 feet by 10. 4 feet 14. 1 feet by 11. 1 feet.

Answers

A rectangular rug divided by its diagonal becomes a right angle triangle

The length and width of the rug is 14.1 feet by 11.1 feet

A right angle triangle has the longest side as the hypotenus which is also the diagonal.

Diagonal = 18 feet

width = x

length = x + 3

diagonal ² = length ² + width ²

18² = x² + (x + 3)²

18² = x² + x² + 6x + 9

324 = 2x² + 6x + 9

2x² + 6x + 9 - 324 = 0

2x² + 6x - 315 = 0

solve using quadratic formula

x = - b ± √b² - 4ac / 2a

= - 6 ± √6² - 4×2×-315 / 2×2

= -6 ± √36 - (-2520) / 4

= -6 ± √36 + 2520/4

= -6 ± √2556 / 4

= - 6 ± 6√71 / 4

= -6/4 ± 6√71 / 4

= -3/2 ± 3√71/2

x = 11.1392 or -14.1392

The value of x can't be negative

So,

x = 11.1 to the nearest tenth

Therefore, the value of width and length is

width = x

= 11.1 feet

length = x + 3

= 11.1 + 3

= 14.1 feet

Learn more about Pythagoras theorem:

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A student is making a model of the famous Giza pyramid,
which has four triangular sides and a square base. The
scale of the model is 1:1,000.
How many sides should the model pyramid have?
A. 6
B. 4.
C. 3
D. 12

Answers

Answer:

Choose the option D

I think it’s B. The original model has 4 sides and it wouldn’t make sense to increase the number of sides for its replica. It would still have 4 sides but in a smaller scale.
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