Find the slope, m of the line that passes through the points (3/8, −1/4) and (−5/16, 1/6)

Answers

Answer 1

Answer:

[tex]-\frac{20}{33}[/tex]

Step-by-step explanation:

We have to use the slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

1/6 is y2, -1/4 is y1, -5/16 is x2, and 3/8 is x1.

[tex]\frac{1/6-(-1/4)}{-5/16-3/8}[/tex]

[tex]\frac{1/6+1/4}{-11/16}[/tex]

[tex]\frac{5/12}{-11/16}[/tex]

Now lets put these fractions in a different form and divide them.

[tex]\frac{5}{12}[/tex] ÷ [tex]-\frac{11}{16}[/tex]

[tex]\frac{5}{12}[/tex] × [tex]-\frac{16}{11}[/tex]

[tex]\frac{5}{3}[/tex] × [tex]-\frac{4}{11}[/tex] = [tex]-\frac{20}{33}[/tex]

[tex]-\frac{20}{33}[/tex] is your answer. I hope this helps! Let me know if I made a mistake or if you have any questions :)


Related Questions

a 12ft street light is making an 18ft shadow. at the same time a nearby building is making a 72ft shadow. how tall is the building?

Answers

Answer:

the answer is 123ft

Step-by-step explanation:

The nearby building is 48ft tall.

90 p


Step 1: Calculating with rational numbers in real-world contexts


In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (2 points)










If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?




Each leg of the race from part a is the same distance. Calculate the team’s average time for each leg of the race. Show your work. (2 points)










If the team’s average time is less than one minute per leg, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?



Step 2: Using properties of operations to add and subtract with fractions


a) Jill jumped "6" "1" /"3" feet in the long-jump event. Jill’s best friend jumped "6" "5" /"7" feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem. (2 points)












If Jill’s best friend jumped farther than 6.5 feet, then she beat the school record and the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?




b) Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42"5" /"8" feet and Grace threw it 39"3" /"5" feet. How far did the team throw the javelin? Show your work. (2 points)









If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earns 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?


For the high jump, each competitor receives multiple opportunities to clear the bar at each height. On average, Shane completes 2 out of 3 jumps on the lowest bar, 4 out of 6 jumps on the middle bar, and 1 out of 4 jumps on the highest bar. Write an equation that you could use to find Shane’s overall average number of jumps completed. Calculate Shane’s average using the equation. (2 points)







If Shane’s average number of jumps completed is greater than one-half, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?



Step 3: Using properties of operations to solve real-world problems with rational numbers


a) The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line, how long is the race? Show your work. (2 points)


15 m 10.5 m

Start Finish






Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won the race for the eighth graders. He completed the race in 20.3 seconds and knocked down 3 hurdles. If 2 seconds are added to the finishing time for each hurdle that is knocked down, what is the final



[ls answer if u know it

Answers

Answer:

                             

Step-by-step explanation:

Answer:

1 - The sum of best times for the legs is 56.81 +59.22 +57.39 +60.11 = 233.53 seconds (3.89 minutes). Without additional information about the effects of training or the normal variation in times, this is the best prediction we can make.

2 - Since the team’s best time for the race is less than 4 minutes, the eighth graders earn 40 points.

3- 58.3825 (About 58) Average is found by adding all the data up and dividing by the amount of info there is. In this Case: 233.53 divided by 4 = 58.3825 which is around 58.

4- The seventh graders because the eighth graders got 58 which is more than 50 so the 7th grader would get the points

5- Kate’s best friend jumped 8/21 feet more than Kate did. First to find the difference between two fractions they need a common denominator, 21 works for this. Then the actual fractions need to match the denominator. 7/21 and 15/21 are our new fractions. Then when subtraction you subtract the numerators, the answer to that is 8/21 after simplifying (in this case you cant) you subtract the whole numbers, 6 – 6 = 0 the add the whole and fraction together. Kate’s best friend jumped 8/21 more feet than Kate did.

6- The seventh graders.

7- 42 5/8 + 39 3/5 Find common denominator for the fractions and rewrite them using the common denominator: 5/8 = 25/40 3/5 = 24/40 25/40 + 24/40 = 49/40 = 1 9/40 1 9/40 + 42 + 39 = 82 9/40 feet.

8- 9/40 = 0.225, plus 82 feet = 82.225 feet,  this is less than 82.5, so the 8th graders earned the 50 points.

9- The equation would be the total of completed jumps divided by the total number of attempts: (2 +4 + 1) / (3 + 6 +4) = 7/13 = 0.538 average.

10- 0.538 is greater than 1/2 ( 0.50), so the 8th graders earned 50 points.

11- The race is 111.6 m long. 8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Step-by-step explanation:

Would love brainliest

Plz help ya girl out :)
This is alotta points on both ends so u best not waste them

Answers

Answer:

6.5y+10 or the second option

Step-by-step explanation:

0.5y+10.5+6.5y-0.5-0.5y

Combine like terms:

10.5-0.5 is 10

0.5y+6.5y-0.5y is 6.5y

So, it is 6.5y +10

second option.

Hope this helps!  You can hit the crown if you want.

#Team Rainbows!~

Answer

6.5y+10

Step-by-step explanation:

Let's simplify step-by-step.

0.5y+10.5+6.5y−0.5−0.5y

=0.5y+10.5+6.5y+−0.5+−0.5y

Combine Like Terms:

=0.5y+10.5+6.5y+−0.5+−0.5y

=(0.5y+6.5y+−0.5y)+(10.5+−0.5)

=6.5y+10

help please (give the right answer!!

Answers

Answer:

multiply by 4 then its 48/100 then I think its 48 percent

Step-by-step explanation:

multiply 4 to get 48 multiplying 12 by 4 and then 48 % because it is 48 of 100 :)

Help me please! will give brainliest! (The real one.) Sorry!

Answers

X = -4 PLSS BRAINLIEST
Answer: X=-4

Explanation:
You want to move the 2 to the other side so you get X all by itself. So you subtract 2 from each side to get 3x=-12. From there you just divide both sides by 3 to get x=-4

help me pleaseeeeeeeeeeeeeee?

Answers

Answer:

SS, GG, SG, GS, 0.125, 0.25, 0.375, 0.50, 0.625, 0.75

Step-by-step explanation:

Answer:

The outcome represents which ones came out of the bag, it would be SG if he picked the silver marble and then the gold marble. The probability shows what the chances are so it should be a 50/50 chance.

Step-by-step explanation:

What is the value of x

Answers

Answer: 9

Step-by-step explanation:

Answer: 9cm

Step-by-step explanation:

hello thanks for your help!

Answers

Answer:

the soda has LESS sugar per serving

Step-by-step explanation:

apple juice- 216/8=27

soda=234/9=26

Answer:

Apple juice has less sugar, soda has more sugar

Step-by-step explanation:

Apple juice has 216 grams of sugar, which is less than 234 grams of sugar that soda has.

Have a good day :)

Is Y rational? Explain.

Answers

Yes
Explanation: because I’m SMART ☺️

Solve these questions. Explain ur answer. #5-8

Answers

Step-by-step explanation:

#5 = car cuz at first it was stationary(was at the garage) then the owner left to buy some snacks so he took the car and accelerated(the graph was steep) after some time he was going at constant speed. When he found MacDonalds he decelerated and parked his car

#8

a)it shows the no. of people joining the school

b)No. it wouldnt make sense to connect the dots cuz one pont isn't related to the other. For instance today a the joker killed 15 people and the next day he kills 16 people. You cannot say that he kills 15.5 people daily.

c) no. of puppies born

HOPE IT HELPED

I ggeggehshsnjwjwbsb

plz save me I need help as sonic

Answers

Answer:

1.Yes

2.Yes

3.No

4.No

5.Yes

Step-by-step explanation:

Just plug in the values of x and y for each set of coordinates.

Example from the first one

4x=y

4(5)=20

20=20 True

make sure all are valid by plugging in the next set of coordinates

4(6)=24

24=24 True

4(7)=28

28=28 True

and so forth with each equation plug in the coordinates

Answer:

1.Yes

2.Yes

3.No

4.No

5.Yes

Step-by-step explanation:

Just plug in the values of x and y for each set of coordinates.

Example from the first one

4x=y

4(5)=20

20=20 True

make sure all are valid by plugging in the next set of coordinates

4(6)=24

24=24 True

4(7)=28

28=28 True

and so forth with each equation plug in the coordinates

After how many months will the service of the two companies cost the same.

Answers

Answer:

i think " A " but i am not really sure tho about it if i am right than i hope i helped u today bye hope you the bsat on it!

Step-by-step explanation:

Answer:

2 months because

Step-by-step explanation:

if you plug it in y=30(2)+55=115

and y=45(2)+25=115

please help!!!!!! i really need it thanks.

Answers

I I can’t even see the question
Sorry
Can’t answer

Answer:

number 1 is d

number 2 is c

Question below!!!!!!!!!!!!!

Answers

Answer:

A because they 35 needs to stay with 100 and x needs to stay with 275 and 100 and 275 have to be on the same part of the ratio

Step-by-step explanation:

The answer is A your welcome

Which quotient matches the description of solving with partial quotients for 240÷15 ? Step 1: Subtract (10×15) from 240 to get 90. Step 2: Subtract (6×15) from 90 to get 0. Step 3: Add the partial quotients.





help meh ples

Answers

3509 is tie correct awnser

Answer:

3509 is tie correct awnser

Step-by-step explanation:

A water tank holds 880 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds 1,100 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answers

Answer:

62 weeks

Step-by-step explanation:

What we need is to represent the ratios in expression

For example if we have 992 gallons and the leaking is 5 gallons per week, the expression for the gallons after every week is

992-5x

x is the weeks

And the other case the expressions is

1240-9x

The question is the weeks for the amount being the same, then every equation can be equal to Y and it represent the same amount

992-5x=y

1240-9x=y

in both the y is the same, then

992-5x=1240-9x

992-1240=-9x+5x

-248=-4x

-248/-4=x

62=X

and that is the weeks we need for the amount being the same in both tanks

Answer:

62 weeks correct me if i'm wrong

Step-by-step explanation:

ASAP!!! PLEASE ONLY THE FIRST TWO AND THE LAST TO IGNORE THE MIDDLE

Answers

Answer:

1. x = 11.7

2. y = 4

3. x = 6

4. y = 2

Step-by-step explanation:

COMPLETE THE INEQUALITY AND EXPLAIN YOUR ANSWER !

Answers

7/8 > 15/40

If you simplify 15/40 it will be 3/8

The graph shows the relationship between the number of gallons of fuel remaining in the tank of a semitruck and the number of miles traveled by the semitruck.

Which function can be used to find y, the number of gallons of fuel remaining in the tank of the semitruck after it has traveled x miles?

Answers

Answer:

the first person is wrong

Step-by-step explanation:

the answer is -1/10x+240

The function can be used to find y, the number of gallons of fuel remaining in the tank of the semi-truck after it has traveled x miles is -1/10x + 240.

What is the equation of a straight line?

The equation of a straight line can be represented by:

y = mx + c

Where m is the slope of the graph and c is the intercept on the y axis.

From the graph attached, the intercept on the y axis is 240,

therefore c = 240.

To find the slope, we use the equation:

m = change in y / change in x

m = (195 - 240) / (450 - 0)

m = -45/450

m = -1/10

by substituting the value of c and m in the equation gives:

y = mx + c

Therefore, the answer is -1/10x + 240.

Learn more about linear equations here:

https://brainly.com/question/27465710

#SPJ2

What is the probability of rolling an even number and then an odd number when rolling two number cubes?
Size of sample spaces =
Number of desired outcomes =
P(first is even and second is odd) =

Answers

Answer:

First answer = 36

Second answer = 9

Third answer =1/4

Step-by-step explanation:

The probability of rolling an even number and then an odd number is 1/4.

What is Probability?

Probability is simply the chance of getting an event from a sample space. Total probability of all the outcomes in an experiment will be always 1.

Probability of an event can be found by dividing the number of desired outcomes with the total number of outcomes.

Here two number cubes are rolled. Each number cube has total 6 outcomes.

If the sample space consists of all the outcomes of first and second number cubes,

Size of sample space = 6² = 36

We have to find the probability of rolling an even number on the first cube and then an odd number on the second cube.

There are 3 chances of having an even number for the first cube which are 2, 4 and 6.

There are 3 chances of having an odd number for the second cube which are 1, 3 and 5.

Therefore number of desired outcomes = 3² = 9

Probability (first is even and second is odd) = Number of desired outcomes / Size of the sample space

Probability (first is even and second is odd) = 9/36 = 1/4

Hence the probability of getting an even number on the first number cube and then an odd number on the second cube is 1/4.

To learn more about Probability, click :

https://brainly.com/question/11234923

#SPJ2

can someone help me with this ASAP

Answers

text my number ( 4015166761) i did all of that already im in 7th ill hook u up wit all the answers .

Answer: I don't know the answers for 3&4

Step-by-step explanation:

Question 1:

1foot=0.3m(2.718282)t(2.718282)r

Step 1: Divide both sides by o^2t.

fo2to2t=2.216717mrto2t

f=2.216717mro2

Answer:

f=2.216717mro2

Question 2:

1mil(2.718282)=1.6kilom(2.718282)t(2.718282)rs

Step 1: Add -11.82249iklmorst to both sides.

2.718282ilm+−11.82249iklmorst=11.82249iklmorst+−11.82249iklmorst

−11.82249iklmorst+2.718282ilm=0iklmorst

Step 2: Factor out variable i.

i(−11.82249klmorst+2.718282lm)=0iklmorst

Step 3: Divide both sides by -11.82249klmorst+2.718282lm.

i(−11.82249klmorst+2.718282lm)−11.82249klmorst+2.718282lm=0iklmorst−11.82249klmorst+2.718282l

Answer:

i=0ikorst−11.82249korst+2.718282

Which of the given side lengths form a right triangle?
A. 9 in., 12 in., 13 in.
B. 15 in., 12 in., 9 in.
C. 12 in., 9 in.. 17 in.
D. 21 in., 12 in., 9 in.

Answers

Is there a image closest would be towards the b

Raul says that –499 is less than –4. Kendall says that –499 is greater than –4. Who is correct, and why?

Answers

Rual because negatives move backwards so the higher the number the smaller it is

Answer:

Raul is right.

Step-by-step explanation:

since the numbers are in the negative that means as they gradually get higher they become less and less. -4 is greater than -499

Please help it’s due tomorrow and I can’t figure this out :c

Answers

Answer:

The farmer's market apples cost $1.50 per pound.

The grocery store apples cost $1.35 per pound.

Samantha should buy her apples from the grocery store, where the apples cost $0.15 less per pound than the farmer's market apples.

Step-by-step explanation:

The graph shows that 2 pounds of apples costs $3.00, so divide the cost by 2 for the cost of a single pound:

3 ÷ 2 = 1.5

Solve for the grocery store apple cost per pound by replacing x with 1 in the given equation:

y = 1.35(1)

Then solve for y:

y = 1.35

A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back? (probability)

Answers

Answer:

Step-by-step explanation:

80 out of 1200 frogs in the population have spots.

pleaseee just helpp i keep putting this question up and it gets deleted for no reasonnnnnnnn!! please hurry

What is the volume of a cone with a radius of 5 inches and a height of 12 inches? (Use 3.14 for .)

942 cubic inches
314 cubic inches
376.8 cubic inches
125.6 cubic inches

Answers

The correct answer is B. 314. Cubic inches

Help Help Help Help...What does it take for an orbiting spacecraft to escape its orbit?

Answers

Answer:

Manual Override??

Step-by-step explanation: I'm prop wrong

Answer:

To leave its orbit, the spacecraft must go very fast to break free of gravity.

Step-by-step explanation:

Hii finding the slope (there are 3 questions please answer them all)

Answers

Answer:

1 -2/5

2. 3

3. 1/2

Step-by-step explanation:

1 m=y2-y1/x2-x1

-16-4= -20

-6-2= -8

m=-8/20

m=-2/5

The answer is 1. -25

Hope this helps!

At the ice cream shop, there are 12 shakes sold for every 4 malts.
What is the ratio of malts to shakes?

Answers

4;12
4 to 12
Or Simplified
1:3

How do you solve this? SHOW YOUR WORK PLSS

Answers

Answer: -1/x3y

(negative 1 over x to the third y)

Step-by-step explanation:

1) I simplified on the bottom

2) I combined like terms with y and x

3) then I just divided

4) then just combine the x and y and that's how I got this answer

(i wrote something wrong on the proof I drew sorry bout that but I changed the answer i typed here)

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