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Ad libitum [116K]
3 years ago
12

Zach solved this problem. Maria had a spool of ribbon 68 inches long. She cut the ribbon into 8 equal-length pieces. How long wa

s each piece of ribbon? Zach said the answer was 0.85 inches. Is Zach's answer reasonable
Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0
8 times 8.5 (or 8 1/2) is 68 so 8.5 would be the answer
Tom [10]3 years ago
4 0
<span> No, because 64 ÷ 8 = 8 and 72 ÷ 8 = 9, so the answer should be between 8 and 9.</span>
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Find the savings plan balance after 9 months with an APR of 12% and monthly payments of $300. Assume an ordinary annuity.
hammer [34]
Future value of ordinary annuity is
AFVO=C[((1+r/m)^(mn)-1)/(r/m)]
AFVO=300[((1+0.12/12)^(12)-1/(0.12/12)]
AFVO=2810.56
5 0
4 years ago
Read 2 more answers
subtract: (−2x2 + 9x − 3) − (7x2 − 4x + 2) −9x2 − 13x + 5 −9x2 + 13x − 5 5x2 − 13x − 1 5x2 + 5x − 5
Nataly [62]

Answer:

17x² - 5x + 11 = 0

Step-by-step explanation:

To add or subtract a polynomial do the operation with like - terms.

i.e., Two terms of x² gets added or subtracted. Similarly terms of x and constant.

Here, we have to subtract:

$ 2x^2 + 9x - 3 - 7x^2 + 4x - 8 - 9x^2 - 13x + 5 - 9x^2 + 13x - 5 + 5x^2 - 13x - 1 + 5x^2 + 5x - 5 $

Club all the like terms for easier simplification. We get:

$ (-2 - 7 - 9 - 9 + 5 + 5)x^2 + (9 + 4 - 13 + 13 - 13 + 5)x + (-3 - 2 + 5 - 5 - 1) $

$ \implies - 17 x^2 + 5x - 11 = 0 $

Multiplying by -1 throughout:

17x² - 5x + 11 = 0 is the answer.

8 0
3 years ago
Find the possible values of x.<br> the perimeter is less than or equal to 51 meters.
sertanlavr [38]

<u>Answer-</u>

<em>The value of x can be anything </em><em>between 0 to 15</em>

<u>Solution-</u>

Perimeter of a geometrical figure is the sum of lengths of all its sides.

So, the value of the perimeter of the given pentagon would be,

=8+8+10+10+x\\\\=(36+x)\ meters

As given in the question that, the perimeter is less than or equal to 51 meters.

So,

\Rightarrow 36+x\leq 51

\Rightarrow x\leq 15

As the side length can not be negative, so x must be positive, i.e

0

5 0
3 years ago
Find the distance between C=(7,-4) and D=(-8,-5)
Anna35 [415]

Answer:

\/226 is te exact form

Step-by-step

/(x2-x1)^2 +(y2-y1)^2

/((-8)-7)^2 + ((-5)-(-4))^2

/226

Decimal form is 15.03329637

So 15.03

4 0
4 years ago
Jason had three more than four times the amount of money that Jeff has. Together they have $72. How much money does each person
adelina 88 [10]

Answer:

Jason has $58.20 and Jeff has $13.80.

Step-by-step explanation:

Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.

We know that together they have $72. So, we can write the following equation:

x+y=72

We know that Jason has three <em>more</em> than four <em>times</em> the amount of money Jeff has. So:

x=3+4y

This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:

(3+4y)+y=72

Combine like terms:

5y+3=72

Subtract 3 from both sides:

5y=69

Divide both sides by 5:

y=69/5=\$13.80

So, Jeff has $13.80

We know that Jason has three more than four times the amount of money Jeff has.

Therefore, Jason has:

x=13.8(4)+3

Multiply and add:

x=\$58.20

So, Jason has $58.20 and Jeff has $13.80.

And we're done!

7 0
3 years ago
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