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Dovator [93]
3 years ago
8

49^-1/2 • 64^2/3Express answer in simplest form (show work plz)​

Mathematics
1 answer:
galben [10]3 years ago
7 0

~Hello There!~

Anything to a negative power, turns it into 1 over that number.

Therefore 49^{-\frac{1}{2} }  = \frac{1}{49\frac{1}{2} }

Anything to the power of a half, means you have to square root it.

Therefore, the first part is now \frac{1}{7}

When you have a fraction as a power and both numbers are above one:

You must 'root' it by the denominator and put it to the power of the top number.

Therefore, \sqrt[3]{64} = 4

4^{2} = 16

Now we have:

\frac{1}{7} * 16

Simply divide 16 by 7 to get the answer:

2.285714

However, since it is a long number, you can just leave it as \frac{16}{7}

Hope This Helps You!                                                                                      

Good Luck :)                                                                                                      

Have A Great Day ^_^

- Hannah ❤

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Answer:

46 2/3

Step-by-step explanation:

Divide 90 by 1.5 because:

Average Distance= distance/time

then 120 by 3 for same reason

then u find each

then add 90 with 120 to get 210 then divide by 4.5 to get 46 2/3

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3 years ago
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each paperclip is 7/8 of an inch long and costs $.03. exactly enough paper clips are laid end to end yo have a total length of 5
GalinKa [24]
1 clipe..............7/8
x.......................56

7x/8 = 56
7x = 56*8
x = 56*8/7
x = 8*8
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5 0
2 years ago
The mean length of 6 childrens' big finger is 6.7cm.
yaroslaw [1]

Answer:

New mean length of these 17 people=11.62

Step-by-step explanation:

<em>Step 1: Determine the total length of children's fingers</em>

L=l×n

where;

L=total length (cm)

l=mean length (cm)

n=number of children

replacing;

L=6.7×6=40.2 cm

The total children's fingers length=40.2 cm

<em>Step 2: Determine the total length of adults fingers</em>

total length of adults fingers=mean length of adults fingers×number of adults

where;

mean length of adults=14.3

number of adults=11

replacing;

total length of adults fingers=(14.3×11)=157.3 cm

<em>Step 3: Determine the new mean length</em>

new mean length=total length of adults and children fingers/number of adults and children

where;

total length of adults and children fingers=157.3+40.2=197.5 cm

number of adults and children=11+6=17

replacing;

new mean length=197.5/17=11.62

7 0
3 years ago
Maddy made $22.50 for babysitting for 5 hours for her aunt. Maddy was paid $21.00 for 3.5 hours of babysitting for her neighbor.
Greeley [361]

Answer:Her Aunt paid her 4.50 and hour and her neighbor 6 an hour. The difference is 1.5

Step-by-step explanation:

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3 years ago
Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the d
Trava [24]

Answer:

Option A.

Step-by-step explanation:

From the first dot plot the given data set for week 1 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69), (70, 70, 72, 72, 72), (75, 75, 76, 78, 78), (80, 80, 80, 89, 89)

Range=Maximum-Minimum=89-62=27

Median=\frac{72+75}{2}=73.5

Mean=\frac{\sum x}{n}=\frac{1491}{20}=74.55

From the second dot plot the given data set for week 2 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 85, 86, 86, 86, 88, 88, 88, 88, 89, 89, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69, 70, 70), 72, (72, 72, 75, 75, 76, 78, 78), (80, 80, 80, 85, 86, 86, 86), 88, (88, 88, 88, 89, 89, 89, 89)

Range=Maximum-Minimum=89-62=27

Median=\frac{78+80}{2}=79

Mean=\frac{\sum x}{n}=\frac{2364}{30}=78.8

The range for Week 1 is equal to the range for Week 2.

The median for Week 2 is more than the median for Week 1.

The mean for Week 2 is more than the mean for Week 1.

Therefore, the correct option is A.

6 0
3 years ago
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