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lara [203]
3 years ago
11

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

Mathematics
2 answers:
madreJ [45]3 years ago
7 0

Answer:

a²b(7 + 10b +14b²)

Step-by-step explanation:

7a^2b + 10a^2b^2 + 14a^2b^3

To find out equivalent expression we need to factor the given expression

To factor it first we find out GCF(greatest common factor)

7 a^2b -------> 7*a*a*b

10a^2b^2 ----->5*2 * a*a*b*b

14a^2b^3 -------> 7*2 *a*a*b*b*b

To get GCF we look at the factors that are in common

GCF = a*a*b  that is a^2b

We factor out GCF a^2b, write a^2b outside and divide all the terms by a^2b

a^2b(7 +10b +14b^2)

7+10b+14b^2 cannot be factor . its prime

Llana [10]3 years ago
3 0
The given expression can be simplified in many ways by grouping like terms. The simplest form is obtained by factoring out a²b which gives us the following expression.

a²b(7 + 10b +14b²)
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yuko is volunteering at the food bank. He is creating thanksgiving food baskets to give to local families. He has 192 cornbread
Deffense [45]

Answer:

  • 32 baskets
  • 2 boxes of stuffing mix, 3 cans of vegetables, 6 cornbread muffins

Step-by-step explanation:

The greatest common factor (GCF) will be the greatest number of baskets yuko can create. We can examine the factoring of these numbers to see what it might be.

  64 = 2^6

  96 = 2^5 × 3

  192 = 2^6 × 3

The unique factors are 2 and 3, and the lowest powers of each are 5 and 0, respectively. Then the GCF is ...

  2^5 × 3^0 = 32 × 1 = 32

After the factor of 32 is removed from each of these numbers, we have ...

  64 = 32·2    boxes of stuffing mix

  96 = 32·3    cans of vegetables

  192 = 32·6   cornbread muffins

These other factors are the numbers of the corresponding item that will be in each of the 32 baskets:

  • 2 boxes of stuffing mix
  • 3 cans of vegetables
  • 6 cornbread muffins
6 0
3 years ago
Dulari, a single, member of the military was stationed at Camp Pendleton California on July 1, 2020, Her Henri company transferr
galina1969 [7]

Dulari can deduct $3050 as moving expenses for her 2020 return

Pre-housing cost = $1475

Cost of the moving furniture = $2500

Cost of moving personal belongings = $3475

Total cost incurred while at Washington DC = $1475 + $2500  +  $3475

Total cost incurred = $7450

AGI for 8 years = $84500

AGI for 1 year = $84000/8

AGI for 1 year = $10500

Since Dulari already spent $7450 trying to settle in Washington, she will spend ($10500 - $7450) as moving expenses for her return

$10500 - $7450  =  $3050

Dulari can deduct $3050 as moving expenses for her 2020 return

Learn more here: brainly.com/question/3061964

7 0
2 years ago
Which expression is equivalent to 4(3 plus 5) - 3 x18
Veseljchak [2.6K]

Answer:

-22

Step-by-step explanation:

6 0
3 years ago
The table represents a linear equation.which equation shows how (-10,8) can be used to write the equation of this line is point-
larisa86 [58]

Answer:

\large\boxed{y-8=-0.2(x+10)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the table we have the points (-10, 8) and (10, 4). Substitute:

m=\dfrac{4-8}{10-(-10)}=\dfrac{-4}{20}=-\dfrac{1}{5}=-0.2

The equation of a line:

y-8=-0.2(x-(-10))\\\\y-8=-0.2(x+10)

5 0
3 years ago
Read 2 more answers
Need help again math 7th grade ​
Olenka [21]

Answer: 1/2 as a fraction

.5 as a decimal

Step-by-step explanation: The probability of them rolling a number would be 3/6 or simplified 1/2 because if there is a 6 sided dice the denominator would be 6 and there are 3 odd numbers on the dice which are 1,3,and 5 so if u have to simplify it would be 1/2 if not 3/6. Also 1/2 as a decimal would be .5

4 0
2 years ago
Read 2 more answers
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