1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aniked [119]
3 years ago
12

Find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1, 2) and B is at (8, 16).

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
4 0
Since M divides segment AB into a ratio of 5:2, we can say that M is 5/(5+2) of the length of AB. Therefore 5/7 × AB.
distance of AB = d
5/7×(x2 - x1) for the x and 5/7×(y2 - y1) for the y
5/7×(8 - 1) = 5/7 (7) = 5 for the x
and 5/7×(16 - 2) = 5/7 (14) = 10 for the y
But remember the line AB starts at A (1, 2),
so add 1 to the x: 5+1 = 6
and add 2 to the y: 10+2 = 12
Therefore the point M lies exactly at...
A) (6, 12)


You might be interested in
A customer bought 7.5 pounds of apples from a local produce market. How many ounces of apples did the customer buy?
jeka94
Now if we have 7.5 pounds of apples first we need to convert 1 pound into ounces.

1 pound = 16 ounces.

Now we know how many ounces are in one pound. So lets take the 16 ounces for 1 pound and multiply by the 7 full pounds of apples. This excluding the 1/2 pound of apples.

7 x 16 = 112
(7 being the weight in pounds of the apples, 16 being 16 ounces in one pound, and 112 is how any ounces are in 7 pounds of apples.)

So now we have the amount of ounces in 7 pounds of apples.
But we are not done. We still have the 1/2 pound of apples. So we take 16 being 1 pound of apples and divide it by 2. 

16 divided by 2 = 8

That 1/2 pound of apples = 8 ounces.

So now we have our 7 pounds of apples in ounces (112) and our 1/2 pound of apples in ounces (8)

So we add these back up in ounces

112 + 8 = 120.

So now we can conclude:

7.5 pounds of apples is 120 ounces

Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)
4 0
3 years ago
At track practice, Coach Wilson told the team to split into groups of four for a special relay. The first runner had to run 1 la
amid [387]
You can multiply the number of laps each person ran by the yards in each lap and then add them together:

440 + 2(440) + 3(440) + 4(440)
= 440 + 880 + 1,320 + 1,760
= 4,440 yards

Or you can add the laps first, then multiply by the yards in each lap
(1 + 2 + 3 + 4)(440)
= 10 x 440
= 4,400 yards
7 0
3 years ago
A tank having length, breadth and height 10 m, 9 m
Ne4ueva [31]

Answer:

length times width times height

Step-by-step explanation:

width is height by the way

so 20×10×9 gives you 1800

1800 petrol can hold on Meters

7 0
3 years ago
The sum of 4 consecutive numbers is 926. Find the four numbers​
Kisachek [45]

Answer:231.5

Step-by-step explanation:

If you divide 926 by 4 you will get 231.5

6 0
3 years ago
Mathematics <br> Simple events likelihood experimental probability
saw5 [17]

Problem 1

Answer: Closer to 1

Explanation:

There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.

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

Problem 2

Answer: Closer to 0

Explanation:

The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50

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

Problem 3

Answer: Closer to 0

Explanation:

We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50

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

Problem 4

Answer: 48% chance; fairly likely

Explanation:

We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%

3 0
3 years ago
Other questions:
  • What is the negative square root of 4,900?
    13·2 answers
  • AA3 +2=AAA CC6+6=CBB ABC=?
    10·1 answer
  • Solve for x 4(2x-3)=-1-3x
    5·2 answers
  • Prudence has 12 pairs of gold earrings and 12 pairs of silver earrings in a drawer in her jewelry box. If she randomly pulls six
    5·1 answer
  • 1. Solve for x 3(x-6)+24=50+4(x+10)
    14·1 answer
  • Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linea
    13·2 answers
  • Help Me Pls Thank You
    13·1 answer
  • What is the sum of adding two opposites together? *
    12·1 answer
  • F(x) = (x^3)-(3x^2)-3x+1<br> factor please
    13·1 answer
  • Jenny received a $30.50 gift card for a photo center. She used it to buy prints that cost 20 cents each. The remaining balance,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!