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3 years ago

Find the smallest positive integer divisible by every positive integer less than or equal to 10

1 answer:

7 0

Basically least common multipule

find LCM of 1,2,3,4,5,6,7,8,9,10
1=1
2=2
3=3
4=2*2
5=5
6=2*3
7=7
8=2*2*2
9=3*3
10=2*5

LCM=1*2*2*2*3*3*5*7=2520

that is 2520

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Peter placed an order with an online nursery for 6 apple trees and 5 azaleas and the order came to $147. The next order for 3 ap

Setler79 [48]

Answer:

$243

Step-by-step explanation:

The first order you made :

6 apple

5 azaleas

And total cast was:

$147

The secant order you order was:

3 apples

4 azaleas

And total cast was:

$96

The total cast of both orders is:

$243

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3 years ago

Read 2 more answers

Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours,

il63 [147K]

Answer:

Step-by-step explanation:

Let the number of hours Nick does the job alone to be x - 3 hours

Hence, in 1 hour, Nick has done 1/x - 3

Together they complete the job in 9 hours

Hence, let's represent the job as 1

9/x + 9/x - 3 = 1

Multiply through by (x)(x-3)

9(x- 3) + 9(x) = 1

9x - 27 + 9x = (x)(x-3)

-27 = x² - 3x

x² - 3x +27 = 0

4 0

3 years ago

Sam spends 12.5% of his day doing homework. There are 24 total hours in one day. Which proportion could be used to calculate the

otez555 [7]

Homework = 12.5% of 24 hours = 0.125 x 24 = 3 hours

Sam spent <u>3 hours</u> on homework.

Proportion of the time spent on homework = 3/24 = 1/8

Answer: Same spent 1/8 of his day on homework.

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3 years ago

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A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost p

alex41 [277]

Answer:

Average cost per litre of diesel = rs 8.00

Step-by-step explanation:

Amount spent on diesel each year = rs 4000

Price of a litre of diesel in the first year = rs 7.50

Price of a litre of diesel in the second year = rs 8.00

Price of a litre of diesel in the third year = rs 8.50

Average cost per litre of diesel = $\frac{p_{1} + p_{2} + p_{3} }{n}$

where n is the number of years.

Average cost per litre of diesel = $\frac{7.5 + 8.00 + 8.50}{3}$

= $\frac{24}{3}$

= 8

Average cost per litre of diesel is rs 8.00

So that he buys an average of 500 (i.e $\frac{4000}{8}$ ) litres every year.

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3 years ago

A ladder leaning against a wall makes a 60° angle with the ground. The base of the ladder is 3 m from the building. How high abo

Marysya12 [62]

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

tan 60 = h/3

h = 3 tan 60

h = 5.20 m

The ladder is at a height of 5.20 m above the ground

7 0

3 years ago