Use to model the problem draw the block to show your work

Answers

Answer 1

Answer: First of all be more spusific in your question

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Carlos has used 40 cell phone minutes each day for one full week. His cell phone plan allows for a total of 320 minutes per week. Which fraction represents the ratio of cell phone minutes remaining to total minutes?
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Celia lives 2/3 mile from the train station. Dino lives 1/5 the distance that Celia lives from the station. How far does Dino live from the train station?

Answers

1. You convert the fractions so that they will have the same denominator because you can't multiply if the denominators aren't the same.
     - 2/3 times 5/5 which equals 10/15
     - 1/5 times 3/3 which equals 3/15
2. Now that the denominators are the same we can multiply the fractions.
           - 10/15 times 3/15 equals 30/15
3. Since we have the answer we need to simplify and 30/15 simplified is 2.

So the answer is 2 or 30/15

What is 80% of 400? show work

Answers

80% of 400

We can set up a proportion because it makes things more clear.

First, we need to assume that 400 is our '100'. Usually, 100 is our total value.

400/x=100/80
(400/x)*x=(100/80)*x
400=1.25x
400/1.25=x
320=x
x=320

Our final answer: 320

of in mathematics means multiplication

80% = 80/100 = 0.8

$0.8 * 400 = \boxed{320}$

80% of 400 is 320.

Work orUse the distributive property or the area model to write an expression that is equivalent
to 8(3x + 4).
a. 24x + 4
b. 3x + 32
c. 24x + 32
d. 11x + 12

Answers

k (a+b) = ka+kb

so : 8 (3x+4) = 8*3x +8*4 = 24x +32

Answer:

24x +32

Step-by-step explanation:

8 times 3 is 24 and 8 times 4 is 32.

Which polynomial has (3x + 2) as a binomial factor? 6x3 + 3x2 + 4x + 2 12x2 + 15x + 8x + 10 18x3 – 12x2 + 9x – 6 21x4 + 7x3 + 6x + 2

Answers

If binomial (3x+2) is a factor of some polynomial, then number $x=-(2)/(3)$ is this polynomial's root. Check all polynomials:

A. For the polynomial $6x^3 + 3x^2 + 4x + 2,$

$6\left(-(2)/(3)\right)^3 + 3\left(-(2)/(3)\right)^2 + 4\left(-(2)/(3)\right) + 2=-(16)/(9)+(4)/(3)-(8)/(3)+2=-(10)/(9)\neq 0.$

B. For the polynomial $12x^2 + 15x + 8x + 10,$

$12\left(-(2)/(3)\right)^2 + 23\left(-(2)/(3)\right) + 10=(16)/(3)-(46)/(3)+10=0.$

C. For the polynomial $18x^3-12x^2 + 9x-6,$

$18\left(-(2)/(3)\right)^3 -12\left(-(2)/(3)\right)^2 + 9\left(-(2)/(3)\right) -6=-(16)/(3)-(16)/(3)-6-6\neq 0.$

D. For the polynomial $21x^4 + 7x^3 + 6x + 2,$

$21\left(-(2)/(3)\right)^4 +7\left(-(2)/(3)\right)^3 +6\left(-(2)/(3)\right) +2=(112)/(27)-(56)/(27)-4+2\neq 0.$

Answer: correct choice is B

Answer:

B 12x2 + 15x + 8x + 10

Step-by-step explanation:

Did it

A Coffee table was $129.99 and on sale for 20% off. The sales tax is 8.5%. How much do we save?

Answers

Answer:

Step-by-step explanation:

Discount = 20% of 129.99

$=(20)/(100)*129.99\n\n=25.998$

= $26

Price after discount = 129.99 - 26 = $103.99

Tax = 8.5% of 103.99

$=(8.5)/(100)*103.99\n\n=8.83915$

= $8.84

Selling price including tax = 103.99 + 8.84

= $112.83

Amount saved = 129.99 - 112.83

=$ 17.16

Answer:

We save 16.18 dollars.

Step-by-step explanation:

First, I did calculations on how much money there would be with the discount.

129.99 times 0.2 equals 25.1 [So with the discount, I got 25.1 dollars off.]

129.99 - 25.1 = 104.89 [so with the discount, I just have to pay 104,89, now,]

Now, I did the calculations WITH the SALES TAX.

104.89 times 0.085 equals 8.92 [ so tax is actually 8.92 dollars.]

104.89 + 8.92= 113.81 [ SO, with TAX, the table costs 113.81.]

Now I see how much money I have saved.

104.89 - 113.81 = 16.18

If you still don't get how I got my answer, just ask more questions to me! =)

Chloe collected 4 times as many bags of cans as her friend. if her friend collected 1/6 of a bag how much did Chloe collect

Answers

4/6 - you multiply 1/6 by 4 as Chloe collected 4 times as many.

Answer:

Chloe collected 4/6 bags of cans

Step-by-step explanation:

The answer is 4/6 because 4 times 1/6 is 4/6

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