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 :)
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
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
Solve these questions. Explain ur answer. #5-8
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
help please (give the right answer!!
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 :)
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?
Answer:
the answer is 123ft
Step-by-step explanation:
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) =
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 :
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Plz help ya girl out :)
This is alotta points on both ends so u best not waste them
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
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
can someone help me with this ASAP
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
Question below!!!!!!!!!!!!!
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:
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.
Raul says that –499 is less than –4. Kendall says that –499 is greater than –4. Who is correct, and why?
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
Help Help Help Help...What does it take for an orbiting spacecraft to escape its orbit?
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:
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?
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:
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hello thanks for your help!
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 :)
Please help it’s due tomorrow and I can’t figure this out :c
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
At the ice cream shop, there are 12 shakes sold for every 4 malts.
What is the ratio of malts to shakes?
After how many months will the service of the two companies cost the same.
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
plz save me I need help as sonic
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
Help me please! will give brainliest! (The real one.) Sorry!
What is the value of x
Answer: 9
Step-by-step explanation:
Answer: 9cm
Step-by-step explanation:
Hii finding the slope (there are 3 questions please answer them all)
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
Is Y rational? Explain.
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?
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:
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)
Answer:
Step-by-step explanation:
80 out of 1200 frogs in the population have spots.
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
Answer:
3509 is tie correct awnser
Step-by-step explanation:
COMPLETE THE INEQUALITY AND EXPLAIN YOUR ANSWER !
please help!!!!!! i really need it thanks.
Answer:
number 1 is d
number 2 is c
help me pleaseeeeeeeeeeeeeee?
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:
How do you solve this? SHOW YOUR WORK PLSS
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)
ASAP!!! PLEASE ONLY THE FIRST TWO AND THE LAST TO IGNORE THE MIDDLE
Answer:
1. x = 11.7
2. y = 4
3. x = 6
4. y = 2
Step-by-step explanation: