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adell [148]
3 years ago
13

All the members of a construction crew work at the same pace. Four members of the crew, working together, are able to pour found

ations in 32 hours.
a
How many hours would this job take if there were half as many workers?
Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0

Half of 4 is 2 so set up a proportion using 4, 32, and 2.

\frac{4}{32} =\frac{2}{y}

Then, cross multiply and solve for y.

4y=64

64/4=16

y=16 hours

Anuta_ua [19.1K]3 years ago
7 0

This would take 16 hours.

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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
Write the equation of the line that has a slope of -4 and a y-intercept a (0,7)
Flauer [41]

Answer:

7=-4x+7

Step-by-step explanation:

the formula of slope intercept form is y=Mx+b and M=slope and b=y value of x intercept

so y=-4x+7

7 0
4 years ago
Sophia's Family is buliding a new house. On the blueprints of the house, Sophia's bedroom measures 3 inches by 3.75 inches. Her
jek_recluse [69]

The ratio from blueprints to bedroom is

... (3 in) : (8 ft) = (1/4 ft) : (8 ft) = 1 : 32

The dilation factor from blueprint to bedroom is 32.

3 0
4 years ago
I need help on this I don't understand it at all
Paraphin [41]
The answer is 157 because you do 12 x 16 which is the shaded region and the unshaded region and you get 192. Then you do 7 x 5 which is not the shaded region and it equals 35.Now you do 157-35 and then you get 157
3 0
3 years ago
Read 2 more answers
A sporting goods store has added a section with trail foods and snacks. Raisins cost $5.00 per pound and peanuts cost $3.80 per
Alexxx [7]
HI THERE!
i can help you  :) 
------------------------------------------------------------------------------------------------------------------

 let the number of raisins (in pounds) be R and the number of peanuts  (in pounds be p. 

since the bag is 30 pounds, so R+P =30
the total cost of the bag is 30 pounds* 4.05 per pound = $121.50 .
now we can use the per-pound costs to write an equation  . . . 
5R+3.8P=121.5 

Now just solve that first equation. . (R+P=30)  for R. R= 30- P


now use that to substitute in the other equation 
5R+3.8P=121.5
5(30-p) + 3.8P=121.5
solve for p
150- 5P+ 3.8p = 121.5
150-1.2p=121.5
150-1.2p=121.5 
-1.2p=-28.5
P=23.75 

now use that to find r
R+p =30 
r+23.75=30
R=6.25 



(hope this helps sorry it took so long to type )
have a good day !


 





  
5 0
3 years ago
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