4 years ago

What is the LCM of 30 and 35?

Mathematics

1 answer:

Misha Larkins [42]4 years ago

4 0

Answer: 210

Explanation: To find the least common multiple for the integers 30 and 35, we start by making a factor tree for each of our integers.

So 30 is 10 · 3 and 10 is 5 · 2.

35 is 7 · 5.

Notice that our 5's match up as factors of each of our integers.

When finding the least common multiple, we simply multiply all of our factors together but since the 5's match up,

we only multiply by a 5 once.

So our least common multiple or LCM is

5 · the 2 that doesn't match up · the 3 that

doesn't match up · the 7 that doesn't match up.

So we have 5 · 2 · 3 · 7 or 210.

Work is shown below.

You might be interested in

You've just purchased 12 lb of celery. You take it back to your kitchen and proceed to trim and cut it into pieces, ending up wi

Alecsey [184]

We should know that ⇒ 1 lb = 16 oz

The amount of purchased celery = 12 lb = 12 * 16 = 192 oz
Trim and cut it into pieces, ending up with 5.5 oz of trim.

The yield will be = 192/5.5 = 34.91

Taking the smallest integer number.

So, the yield = 34

which will be equal = 34*5.5 = 187 oz


So, the yield percentage = $\frac{187}{192} *100 = 97.4 \%$

3 0

3 years ago

In right triangle ABC, the measure of angle A is 25 degrees, angle c is 90 degrees, and AB = 1. what is the length of AC?

Allisa [31]

Answer:

b= 0.9

Step-by-step explanation:

first you find angle B: 180-90-25=65

then you will do law of sine- sin A/a=sin B/b=sin C/c

sin(90)/1=sin 65/b

sin(90)*b=sin(65)*1

sin(90)*b=0.9

b=0.9/sin(90)

b= 0.9

8 0

4 years ago

The Science Club has 35 members, 10 girls and 25 boys. What is the ratio of girls to boys in the Science Club?

lbvjy [14]

The answer is: B. 2:5

7 0

3 years ago

Read 2 more answers

the perimeter of a regular pentagon is 41.5 cm. Write and solve an equation to determine the length of each side of the pentagon

ser-zykov [4K]

It would be 41.5 divided by 5 because a pentagon has 5 sides

6 0

4 years ago

Read 2 more answers

After joining two pieces of a picture frame together, a frame maker checks her work by measuring the diagonal (see the illustrat

tigry1 [53]

The diagonal (hypotenuse) is 13 in.

You need to use the Pythagorean Theorem

${a}^{2} + {b}^{2} = {c}^{2}$
then just plug in the numbers and solve for c.

${12}^{2} + {5}^{2} = {c}^{2}$
$\sqrt{169} = c$
13 = c

6 0

3 years ago