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goldenfox [79]
2 years ago
11

Kai can wrap 42 gifts in 3 hours. Answer the following questions, assuming that Kai can continue wrapping gifts at that same rat

e. How many gifts can Kai wrap in 24 hours? _______________ How many hours would it take him to wrap 126 gifts? _______________ How many gifts does Kai wrap per hour? _______________
Mathematics
1 answer:
fomenos2 years ago
7 0

Answer:

1. 336

2. 9

3. 14

Step-by-step explanation:

He wraps 42 gifts/3hours

24 hours is 8 "3 hours"

42 hours per 3 gifts * 8 "3 hours" = 336 gifts

126 gifts is 3 "42 gifts"

3 hours per 42 gifts * 3 "42 gifts" = 9 hours

He wraps 42 gifts/3hours

divide these values by 3 and you get  14 gifts/one hour

14 gifts every one hour

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What angle do the minute and hour hands make at 4:30??
seraphim [82]

Answer:

45°

Step-by-step explanation:

The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...

... (4.5/12)·360° = 135°

clockwise from straight up.

The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.

The difference between the angles of the hands is ...

... 180° -135° = 45°

3 0
3 years ago
If Gabby has 15 cosmetics in a bag, and 5 of those cosmetics are eyeshadow, then what is the probability of her picking an eyesh
nasty-shy [4]

this could be represented in the following way 5/15

Probability is

Fraction= 1/3

Decimal=0.33333333333333

Percentage:33.33333%

4 0
3 years ago
Read 2 more answers
The 2nd and 5th terms of a gp are 1/18 and 4/243 respectively. Find
Viktor [21]

The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

We are given that:

2nd term of geometric progression = 1 / 18

5th term = 4 / 243

Now, we can also write it as:

2nd term = a r ( where r is the common ratio and a is the initial term.)

a r = 1 / 18

5th term = a r⁴

a r⁴ = 4 / 243

Now divide 5th term by 2nd term, we get that:

a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )

r³ = 72 / 243

r³ = 8 / 27

r = ∛ (8 / 27)

r = 2 / 3

3rd term = a r²

a r² = a r × r

= 1 / 18 × 2 / 3

3rd term = 1 / 27

Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.

Learn more about geometric progression here:

brainly.com/question/24643676

#SPJ4

Your question was incomplete. Please refer the content below:

The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term

6 0
1 year ago
Read 2 more answers
What are the zeros of the function f(x)=x2+12x+38
Artemon [7]

Answer:

The zero would be -2.714 (x-intercept)

6 0
3 years ago
A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
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