MATHEMATICS HIGH SCHOOL

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces. Which factorization could represent the number of water bottles and weight of each water bottle?

6(10x^2 + 8x + 2)
12(5x^2 + 4x + 2)
6x(10x^2 + 8x + 2)
12x(5x^2 + 4x + 2)

Answers

Answer 1

Answer:

For this case we have the following polynomial:

$60x ^ 2 + 48x + 24$

What we must do for this case is to factor the polynomial, so that we have:

1) The number of bottles

2) the weight of each bottle.

We have then:

$12 (5x ^ 2 + 4x + 2)$

Answer:

A factorization that could represent the number of water bottles and weight of each water bottle is:

$12 (5x ^ 2 + 4x + 2)$

Answer 2

Answer: find common factors of each

60x^2=2*2*3*5*x*x
48x=2*2*2*2*3*x
24=2*2*2*3

find the common group
common gropu is 2*2*3=12

front number shold be 2
the only one is the second option

anwer is second option

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The product of 13 and m plus the product of 2.7 and n

Answers

Answer:

13 m + 2.7 n.

Step-by-step explanation:

Given : the product of 13 and m plus the product of 2.7 and n

To find : Write expression .

Solution : We have given

Product of 13 and m = 13 * m

Product of 2.7 and n = 2.7 * n

According to question :

Sum of Product of 13 and m and Product of 2.7 and n

13 *m + 2.7 *n

13 m + 2.7 n.

Therefore, 13 m + 2.7 n.

13m+2.7n

If thats what you need

A sack contains red and blue marbles. The ratio of red marbles to blue marbles is 4:3. If there are 18 blue marbles in the sack, how many red marbles are in the sack?

Answers

$r:b=4:3 \n (r)/(b)= (4)/(3) \n (r)/(18)= (4)/(3) \n r= (18*4)/(3) \n r= 6*4 \n r=24 \ red \ marbles$

Write the perimeter of the floor plan shown as an algebraic expression in x.

Answers

Answer:

Perimeter = 2x + 64

Step-by-step explanation:

Perimeter = Sum of the lengths of the borders

From the given figure, we need to find the missing length.

Missing length = 18 - 10 = 8

Another missing length = (x + 14) - (x + 8) = x + 14 - x - 8

= 14 -8

= 6

Now let's add all the sides.

Perimeter = x + 14 + 8 + 6 + 10 + x + 8 + 18

Now add all the x terms and constants

Perimeter = 2x + 64

I believe the answer is --> p(perimeter) = 2x + 64 in the simplest algebraic expression.

What does M.A.D stand for in math?

Answers

Asking the Math Gods...

mean absolute deviation

The sum of -3/8 and 2 2/3

Answers

Answer:

27/24 or (Decimal: 2.291667)

Step-by-step explanation:

The sum of a geometric series of twelve terms with common ratio 2 is 20,475. What is the first term? Needed help please.

Answers

Answer: the first term is 5

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

S12 = 20475

r = 2

n = 12

Therefore,

20475 = (a × 2^(12) - 1)/2 - 1

20475 = (a × 4095)