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poizon [28]
3 years ago
11

Solve the unit rate

Mathematics
2 answers:
xeze [42]3 years ago
6 0

Answer:

Step-by-step explanation:

LenKa [72]3 years ago
6 0

Answer:

Step-by-step explanation:

See the thing on the left?

▢ unknown

-  =  -

▢   1

Fraction lines that look like minus signs, missing units, poor formatting—it’s ridiculously unclear!

::::;

Julius’s walking rate is

(12 miles)/(3 hours) = (4 miles)/(1 hour)

time walked in 1 hour = 1 hour × (4 miles)/(1 hour) = 4 miles

time walked in 2.5 hours = 2.5 hours × (4 miles)/(1 hour) = 10 miles

time walked in 13 hours = 13 hours × (4 miles)/(1 hour) = 52 miles

time required to walk 27 miles = 27 miles × (1 hour)/(4 miles) = 6.75 hours

time required to walk 106 miles = 106 miles × (1 hour)/(4 miles) = 26.5 hours

You might be interested in
4/3 divided 7/8 help
Leni [432]

Answer:

exact form 32/21

decimal form 1.523809 repeating

mixed number form 1 11/21

5 0
2 years ago
Find the distance between the two points shown. <br> A) 5 <br> B) 7 <br> C) 21 <br> D) 27
kotegsom [21]

Answer:

It is B, 7 points.

Step-by-step explanation:

You can start from the point (8,2) and then you go up 7 points to reach the point (8,9) which is 7 points.

4 0
3 years ago
Read 2 more answers
7) PG &amp; E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many
BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

============================================================

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

-----------------

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

-----------------

<h3>Answer: 495</h3>
5 0
2 years ago
The half-life of cobalt-60 (used in
Likurg_2 [28]

Answer:

6.25 gm left

Step-by-step explanation:

Find the number of half lives in 26.3 years

   26.3 / 5.26 = 5 half lives

(1/2)  ^5   = 1/32 nd  of the original will be left

   1/32 * 200g = 6.25 gm left

5 0
2 years ago
Someone please help ASAP will give brainliest
sesenic [268]

Answer:

the answer is 2

Step-by-step explanation:

6 0
3 years ago
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