MATHEMATICS
MIDDLE SCHOOL

Answer: Three consecutive integers, n, n+1, n+2, sum to 48.

n+n+1+n+2=48 combine like terms on left side

3n+3=48 subtract 3 from both sides

3n=45 divide both sides by 3

n=15, so the three integers are:

15, 16, and 17

n+n+1+n+2=48 combine like terms on left side

3n+3=48 subtract 3 from both sides

3n=45 divide both sides by 3

n=15, so the three integers are:

15, 16, and 17

MIDDLE SCHOOL

Explain how you could write 60,000,000 as the product of a number greater than or equal to 1 that is multiples by a power of 10

This is scientific notation.

What multiple of ten could you divide 60,000,000 by to get a number, x which satisfies the above requirements.

That number would be 10,000,000 or 10^7

Divide: 60,000,000/10,000,000 and get 6.

The answer is 6 x 10^7

What multiple of ten could you divide 60,000,000 by to get a number, x which satisfies the above requirements.

That number would be 10,000,000 or 10^7

Divide: 60,000,000/10,000,000 and get 6.

The answer is 6 x 10^7

Answer:

What multiple of ten could you divide 60,000,000 by to get a number, x which satisfies the above requirements.

That number would be 10,000,000 or 10^7

Divide: 60,000,000/10,000,000 and get 6.

The answer is 6 x 10^7

MIDDLE SCHOOL

Prove the divisibility of the following numbers: 45^10·5^40 by 25^20

For this case we have the following expressions:

and

Let:

(Integer m)

(Integer n)

By definition, an integer m is divisible by an integer n if the remainder of the division is 0. That is, there is an integer p such that:

Rewriting the expression we have:

So:

We cancel similar terms:

We check:

Answer:

If they are divisible

MIDDLE SCHOOL

What is the answer to the problem 1-(-18)

Answer:

19

Step-by-step explanation:

1-(-18)

=1+18

=19

MIDDLE SCHOOL

Sales at a certain department store follow the model y=85-13.254x where y is the total sales in thousands of dollars and x is the number of years after 2001. What was the first year that sales fell below $50,000?

Answer:

2004

Step-by-step explanation:

Given :

Sales at a certain department store follow the model where y is the total sales in thousands of dollars and x is the number of years after 2001.

To Find: What was the first year that sales fell below $50,000?

Solution:

We are supposed to find the first year that sales fell below $50,000

Since y = total sales in thousands of dollars

So, Substitute y = 50

x≈ 3

The first year that sales fell below 50,000= 2001+3

= 2004

Hence the first year that sales fell below $50,000 was 2004.

50 = 85 - 13.254x...... solve for x

x = 2.64071 round up to 3

hence 2001 + 3 = 2004

x = 2.64071 round up to 3

hence 2001 + 3 = 2004

MIDDLE SCHOOL

If 4y = 20 then 2y - 1 equals what number

4y = 20

y = 20 / 4

y = 5

2y - 1 = ?

2(5) - 1 = ?

10 - 1 = 9

y = 20 / 4

y = 5

2y - 1 = ?

2(5) - 1 = ?

10 - 1 = 9

HIGH SCHOOL

The sum of two number is 47.The greater number is 9 more than the smaller number.Which equation can be used to solve for the smaller number? X+(x+9)=47 X-(x+9)=47

X(x+9)=47

X(x-9)=47

Let x and y be two numbers

⇒ x + y = 47

let y be the greater of the two numbers

⇒ x + (x +9) = 47

∴ the first option would be the correct answer.

⇒ x + y = 47

let y be the greater of the two numbers

⇒ x + (x +9) = 47

∴ the first option would be the correct answer.

Answer:

first option

Step-by-step explanation:

just did a quiz

COLLEGE

6ft to 4yd as a fraction in simplest form

4 yards = 48 feet so it would be 6/48, simplified would be 1/8

. 1 yard is 3 feet. So, 4 yards = 4 * 3 feet = 12 feet. Now, the ratio 6 ft to 4yd is: 6 ft / 4 yd = 6 ft / 12 ft = 6 / 12

MIDDLE SCHOOL

One pound of chicken cost $3.00. Jim buys 8 2/3 pounds of chicken. How much does Jim pay for the chicken?

It would cost 26 dollars because 3 multiplied by 8 is 24 plus 2/3 of 3 is 26 and that is the result of 2/3 of 3 being 2 dollars

COLLEGE

A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in which case there is a 10% discount on the daily rate. Identify the expression which represents the cost of renting a car if the car has been rented for more than a week. A.) 45+35x

B.) 45+31.5x

C.) 50+35x

D.) 50+31.5x

Answer:

Option D

Step-by-step explanation:

Let

x------> the number of days

y----> the cost of renting a car

we know that

For

For

The rate is equal to

so

In this problem. the car has been rented for more than a week

therefore

7\ days" alt="x> 7\ days" align="absmiddle" class="latex-formula">

The cost of renting a car is equal to

The answer is D,I think it's help