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Greeley [361]
2 years ago
14

o convert 8.5 yards to feet, which ratio could you multiply by? A. 3 feet/8.5 yards B. 8.5 yards/3 feet C. 1 yard/3 feet D. 3 fe

et/ 1 yard
Mathematics
1 answer:
Maslowich2 years ago
4 0
C. <span>1 yard/3 feet

For every one yard there are three feet.

It is not D because you aren't trying to find how many yards.</span>
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Help I’m stuck on this question I’ve been stuck on it for a while I can’t seem to figure it out please help for ten points
Naddika [18.5K]

Answer:

\frac{1}{25}

Step-by-step explanation:

I think what it is trying to say is that it wants the solution to multiplying all of those. The (...) simply means that it wants you to continue that pattern in what you are supposed to be multiplying, but stop at \frac{24}{25}.

That would mean you are technically supposed to be multiplying:

\frac{1}{2}  \frac{2}{3} \frac{3}{4} \frac{4}{5} \frac{5}{6} \frac{6}{7} \frac{7}{8} \frac{8}{9} \frac{9}{10} \frac{10}{11} \frac{11}{12} \frac{12}{13} \frac{13}{14} \frac{14}{15} \frac{15}{16} \frac{16}{17} \frac{17}{18} \frac{18}{19} \frac{19}{20} \frac{20}{21} \frac{21}{22} \frac{22}{23} \frac{23}{24} \frac{24}{25}

That is a lot and unfortunately, none of the individual fractions can be simplified within that. The final answer would be able to be simplified, though.

Multiplying the first four shown: \frac{1}{2}\frac{2}{3} \frac{3}{4} \frac{4}{5} you end up with \frac{24}{120}. Both the numerator (top) and the denominator (bottom) are divisible by 24. Dividing top and bottom would simplify this to \frac{1}{5}.

Now, let's take the next four.

\frac{5}{6}\frac{6}{7} \frac{7}{8} \frac{8}{9} allows you to end up with \frac{1680}{3024}. Both the numerator (top) and the denominator (bottom) are divisible by 336. You are left with \frac{5}{9}.

Now, let's take the next four.

\frac{9}{10}\frac{10}{11} \frac{11}{12} \frac{12}{13}. Multiplying these gives you \frac{11880}{17160}. Both the numerator (top) and the denominator (bottom) are divisible by 1320. You are left with \frac{9}{13}.

Now, let's take the next four.

\frac{13}{14}\frac{14}{15} \frac{15}{16} \frac{16}{17}. Multiplying these gives you \frac{43680}{57120}. Both the numerator (top) and the denominator (bottom) are divisible by 3360. You are left with \frac{13}{17}.

*<em> Although I would continue to say let's take the next four, there appears to be a pattern in the simplification. The numerators we have gotten have all been four less than their denominators, and each numerator has been four more than the last. I cannot be certain, but we only have two sets of four left. If this pattern continues, the simplifications of each should be \frac{17}{21} and \frac{21}{25}. I will continue on for argument's sake, anyways.</em>

The next four are \frac{17}{18}\frac{18}{19} \frac{19}{20} \frac{20}{21}. Multiplying these, you are left with \frac{116280}{143640}. Both the numerator (top) and the denominator (bottom) are divisible by 6840. We are left with\frac{17}{21}. This is the exact guess I had made when following the pattern, and so the next one is most likely going to be the other guess as well.

Our final answer will be \frac{1}{5}\frac{5}{9} \frac{9}{13} \frac{13}{17}\frac{17}{21} \frac{21}{25} all multiplied together. We end up with \frac{208845}{5221125}. Both the numerator (top) and denominator (bottom) are divisible by 208845.

Simplified, your final answer is:  \frac{1}{25}.

* <u>NOTE:</u> that another way to solve this would just be to multiply all numbers from 1-24 together and then 2-25, but you would end up with a very large number that would be just as time consuming to simplify. To get the GCF fast, I used a GCF calculator.

6 0
2 years ago
State if triangle is acute obtuse or right
AnnyKZ [126]

Answer:

The triangle is acute

3 0
2 years ago
Can anyone help me with this problem
Lerok [7]

Answer:

y^35

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
(0, -9) and (-3, -3)<br> I need this problem solved with work please!
nirvana33 [79]

Answer:

-9-(-3)/0-(-3) = -3/3 = -1

y+9= -1(x-0) <u><em>Point Slope form</em></u>

y+9<u>-9</u>= -1x<u>-9</u>

y= -x-9 <em><u>Slope Intercept form</u></em>

y<u>+x+9</u> = -x-9 <u>+x+9</u>

y+x+9= 0 <u><em>General form</em></u>

4 0
3 years ago
Whats the area and perimeter to the shape below?
Anarel [89]

Answer:

Step-by-step explanation:

a) Area of white square = side *side = 8 * 8 = 64 sq.mm

Area of 4 white square = 4 * 64 = 256 sq.mm

 compound shape

length = 3 cm = 30 mm

Width = 2 cm = 20 mm

Area of compound shape = length *width = 30 * 20 = 600 sq.mm

Area of the shaded part of the compound shape =

                        Area of compound shape - Area of 4 white square

= 600 - 256

= 344 sq.mm

b) Perimeter of compound shape = 2*(length + width)

     = 2*(30 +20)

      = 2* 50

      = 100 mm

6 0
3 years ago
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