All categories

3 years ago

Find the least common denominator of the rational expressions below: 15/2x + 10 and -13/7x + 35

Mathematics

1 answer:

dem82 [27]3 years ago

4 0

9514 1404 393

Answer:

14(x +5)

Step-by-step explanation:

The denominator of the first expression is ...

2x+10 = 2(x +5)

The denominator of the second expression is ...

7x +35 = 7(x +5)

The least common denominator (LCD) is the product of the unique factors in these denominators:

2×7×(x +5)

= 14(x +5) . . . . least common denominator

= 14x +70

You might be interested in

Can someone please help me with this question please ?

EleoNora [17]

Answer:

x=43

Step-by-step explanation:

Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.

x+72 = 115

then you subtract 72 from both sides

x=43

8 0

3 years ago

A tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay

allsm [11]

Answer:

3. $600,000

Step-by-step explanation:

We have been given that a tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay 3% of gross annual sales over $200,000.

Let us find base annual rent.

$\text{Base annual rent}=\$1500\times 12\\\\ \text{Base annual rent}=\$18,000$

Let us find the amount of rent paid as 3% of gross annual sales.

$\$30,000-\$18,000=\$12,000$

Let us find amount of sales over $200,000 by dividing $12000 by 3% or 0.03.

$\frac{\$12,000}{0.03}=\$400,000$

Total sales would be $400,000 plus $200,000.

$\text{Total sales}=\$400,000+\$200,000\\\\ \text{Total sales}=\$600,000$

Therefore, the total sales for that year was $600,000 and 3rd option is the correct choice.

7 0

3 years ago

How do you find the surface area of this prism?

Vlad1618 [11]

Length * width* height

8 0

3 years ago

Which expression represent a number that is one fourth as great as 10-2

Nataliya [291]

I think the answer to the expression would be D. (10 - 2) x 4 because (10 - 2) would be multiplied 4 times, which means it would be four times greater. I hope this made sense and also helped you in some way.

5 0

3 years ago

Read 2 more answers

7) 1 is what percent of 52.6?

katovenus [111]

Answer:

1 is what percent of 52.6? = 1.9011406844106.

Step-by-step explanation:

urm google it that is what i did

3 0

3 years ago

Read 2 more answers