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
tekilochka [14]
3 years ago
6

210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible numbe

r of cartons needed?
i also want explanation to pls
Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

∴ The greatest number that divides 210, 252 and 294 is 42.

Step-by-step explanation:

We have to find the LCM of the given rows 12, 15 and 40. (Taking Highest Powers). Therefore, least number of saplings that can be arranged in given rows are 120.

You might be interested in
Need help on 2 plz help me show your work and answer in struggling
NemiM [27]
(-7/8)*4/1= -7/2 hope that help
8 0
3 years ago
How can i prove this property to be true for all values of n, using mathematical induction.
chubhunter [2.5K]

Proof -

So, in the first part we'll verify by taking n = 1.

\implies \: 1  =  {1}^{2}  =  \frac{1(1 + 1)(2 + 1)}{6}

\implies{ \frac{1(2)(3)}{6} }

\implies{ 1}

Therefore, it is true for the first part.

In the second part we will assume that,

\: {  {1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  =  \frac{k(k + 1)(2k + 1)}{6}  }

and we will prove that,

\sf{ \: { {1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} =  \frac{(k + 1)(k + 1 + 1) \{2(k + 1) + 1\}}{6}}}

\: {{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2}  =  \frac{(k + 1)(k + 2) (2k + 3)}{6}}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{k (k + 1) (2k + 1) }{6} +  \frac{(k + 1) ^{2} }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{k(k+1)(2k+1)+6(k+1)^ 2 }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)\{k(2k+1)+6(k+1)\} }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)(2k^2 +k+6k+6) }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)(2k^2+7k+6) }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)(k+2)(2k+3) }{6}

<u>Henceforth, by </u><u>using </u><u>the </u><u>principle </u><u>of </u><u> mathematical induction 1²+2² +3²+....+n² = n(n+1)(2n+1)/ 6 for all positive integers n</u>.

_______________________________

<em>Please scroll left - right to view the full solution.</em>

8 0
2 years ago
What are the intercepts of -3x+5y-2z=60?
Lostsunrise [7]
<span>
C (-3,0,0),(0,5,0),(0,0,-2)
D (-20,0,0),(0,12,0),(0,0,-30)</span>
4 0
3 years ago
Which expression is equivalent to 3 square root of 125
Nookie1986 [14]

Answer:

The √125 can be factored out to 25 and 5 then 25 can be factored out to 5 and 5. Then you pair up the numbers, you have a pair of 5's and a 5 left over. So the pair of 5's goes inside the radical as √5 and on the outside of the radical you have 5×3. So 3√125≈15√5.

Step-by-step explanation:

 please give me branlyist

3 0
4 years ago
Divide the following decimal; express your answer to the nearest tenth
kirill115 [55]

Answer:

23.7 be the answer

Step-by-step explanation:

23.68 look to the 8 if it 5 or more round next door

4 or less kill the rest

3 0
3 years ago
Other questions:
  • 1. Solve the inequality 5 – 3a &lt; –10
    7·1 answer
  • I’m struggling with number 55 every time ive tried i don’t end up with the right answer
    14·1 answer
  • Write 98765000000 in scientific notation.
    12·1 answer
  • Write the number six and a half thousand in figures
    15·1 answer
  • the speed of an ant is (2t+10) and after travelling for t minutes, it covers a distance of 12m. find t​
    15·1 answer
  • Solve for x.<br> 1+<br> x+8<br> /3=<br> x-7<br> 30
    10·2 answers
  • I am having trouble finding this out will anyone help?
    12·1 answer
  • Brett and Lionel start out together to bike from Windsor Forrest to Camperdown, a distance of 36 miles.
    13·1 answer
  • A box of 10 chocolates cost $7.30. How much does one chocolate cost?
    8·2 answers
  • Which is greater?<br> B. 42%<br> A. 0.482
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!