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ivann1987 [24]
3 years ago
15

Carla bought a piece of ribbon that measured 1 meter in length. She used 1/4 of the ribbon on a gift box. She used 1/8 of the ri

bbon to make a bow. What fraction of the ribbon was left?
Mathematics
1 answer:
lord [1]3 years ago
4 0

1/4 is equal to 2/8.

2/8+1/8=3/8

Carla used 3/8 of the ribbon in all. So, 5/8 of the ribbon is left.

I hope this helps :)

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What is the binomial expansion of (2x – 3)^5?
Tanya [424]

Answer:

C

Step-by-step explanation:

(2x + 3)^5 = C(5,0)2x^5*3^0 +

C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5

Recall that

C(n,r) = n! / (n-r)! r!

C(5,0) = 1

C(5,1) = 5

C(5,2) = 10

C(5,3) = 10

C(5,4) = 5

C(5,5) = 1

= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5

= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243

= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243

= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243

7 0
3 years ago
Read 2 more answers
100 points. Which is the graph of f (x) x - 1/ x2 - x 6
Dovator [93]

Answer: the answer is c

Step-by-step explanation:

5 0
1 year ago
stat: sample of 780 adults in the U.S.A., it was found that 80 of those had a pinworm infestation. You want to find the 99% conf
Anettt [7]

Answer: 554

Step-by-step explanation:

If prior population proportion is known, then the formula to find the sample size is given by :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

As per given description, we have

p= 0.1

E=0.025

Critical z-value for 95% confidence : z_{\alpha/2}=1.96

Then,

n=0.1(1-0.1)(\dfrac{1.96}{0.025})^2=553.1904\approx554

Hence, the minimum sample size required = 554.

7 0
3 years ago
bookstore ordered 1,528 packs of pens and 1,823 packs of pencils at the prices shown. how much did the bookstore spend on pens?
IgorC [24]
I found that the given prices are $ 4 per pack of pens and $ 3 per pack of penciles.

The question is how much the bookstore spent on pens.

Then you have to multiply the number packs of pens, which is 1,528, times the price per pack pens which is $ 4.

So, the answer is: 1528 packs of pens * $ 4 / pack of pens = $6112.


8 0
3 years ago
A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 met
sweet-ann [11.9K]

Answer: <u><em>The building is 35 meters tall.</em></u>

Step-by-step explanation:

<em>420 </em><u><em>divided by </em></u><em>24 is 17.5   </em>

<em>17.5 </em><u><em>x </em></u><em>2 is 35 </em>

<em>(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)</em>

<em />

8 0
2 years ago
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