MATHEMATICS
HIGH SCHOOL

x3(2x 5) 4(2x – 5)

x3(2x 5) – 4(2x 5)

x3(2x – 5) – 4(2x – 5)

x3(2x 5) 4(2x 5)

Answer: If you would like to find the equal expression to the polynomial 2x^4 + 5x^3 - 8x - 20, you can do this using the following steps:

2x^4 + 5x^3 - 8x - 20 = x^3 * (2x + 5) - 4 * (2x + 5)

The correct result would be x^3 * (2x + 5) - 4 * (2x + 5).

2x^4 + 5x^3 - 8x - 20 = x^3 * (2x + 5) - 4 * (2x + 5)

The correct result would be x^3 * (2x + 5) - 4 * (2x + 5).

Answer:

Answer:

Option (b) is correct.

is equal to the given polynomial

Step-by-step explanation:

Given polynomial

We have to choose form the given option that is equal to the given polynomial

Consider the given polynomial

We will factorize the given polynomial by grouping like terms.

Taking common from first two term and -4 common from last two term , we have,

Again taking (2x +5) common from both terms, we get

Thus, Option (b) is correct.

MIDDLE SCHOOL

For an art project, Mrs. Williams is dividing construction paper into fourths. How many fourths can she make from 5 pieces of construction paper?

Answer: Mrs. Williams can make 20 fourths from 5 pieces of construction paper.

Step-by-step explanation:

You know that Mrs. Williams is dividing construction paper into fourths and there are 5 pieces of construction paper.

Then, in order to calculate how many fourths Mrs. Williams can make from these pieces of construction paper, you need to divide 5 pieces by .

Follow these steps:

1. Identify the reciprocal of . This is 4.

2. Multiply 5 pieces by the reciprocal of :

Therefore, Mrs. Williams can make 20 fourths from 5 pieces of construction paper.

20 pieces of construction paper

MIDDLE SCHOOL

What is the probablility of getting an even number when rolling a six-sided number cube

Answer:

the possibility of rolling an even number is 3 out of 6.

Step-by-step explanation:

Reasoning being that there are 6 numbers on a dice 1, 2, 3, 4, 5, 6.

2, 4, 6 is even.

1, 3, 5 is odd.

so it is 3 out of 6 for odd.

and 3 out 6 for for even.

MIDDLE SCHOOL

You’re ordering more thread for Blue Jeans Co. You usually purchase from Ted’s Threads, which sells 12 thread spools for $27. You recently received a notice from Wade's Wares that says you can buy thread from them for $2.30 each for the first 2 dozen and $2 a spool thereafter. You need to order 5 dozen spools. What percentage can you save by going with Wade’s Wares?

Answer:

5.78 %

Step-by-step explanation:

Given: we’re ordering more thread for Blue Jeans Co, Ted’s Threads sells 12 thread spools for $27 we can buy thread from Wade's Wares for $2.30 each for the first 2 dozen and $2 a spool thereafter.

To Find: What percentage can we save by going with Wade’s Ware

Solution:

price of 12 thread spools from Ted's Threads=

cost of buying 5 dozen thread spools from Ted's Threads=

now,

cost of one spool for first 2 dozen spools from Wade's Wares=

cost of buying of first 2 dozen spools from Wade's Wares=

cost of buying of rest 3 dozen spools from Wade's Wares=

total cost of buying from Wade's Wares=

Money saved=cost of buying from Ted's Threads - cost of buying from Wade's Wares

percentage saving=

≅%

we can save % by going with Wade's Wares

Answer:

5.78%

Step-by-step explanation:

MIDDLE SCHOOL

Is 3.222222 a rational number

Answer:

YESStep-by-step explanation:

If the number is rational, I can write it as a fraction in which the numerator and denominator are integers (denominator other than 0).

If is repeating:

multiply both sides by 10

make the difference 10x - x

divide both sides by 9