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Serjik [45]
4 years ago
15

a materials scientist has 56 pounds of a liquid. she uses most of the liquid to fill 7 beakers. The remaining liquid fill 1/9 of

an 8th beaker. How many ponds of liquid is in one full beaker
Mathematics
1 answer:
adelina 88 [10]4 years ago
7 0

Answer:

7.875 pounds

Step-by-step explanation:

Assuming the beakers are the same size, and each beaker takes in x pounds.

Then for seven beakers we have;

x × 7 = 7x pounds

For the eight beaker;

1/9 ×  x= 1/9x pounds

Therefore;

7x + 1/9x = 56 pounds

63x + x = 56 ×9

64 x = 504

     x = 504/64

         = 7.875 pounds

Therefore; one full beaker takes in 7.875 pounds when full

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Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long
Ne4ueva [31]

We are given

Jim's backyard:

Length is

L=15\frac{5}{6} =\frac{95}{6} yards

width is

W=10\frac{2}{5} =\frac{52}{5} yards

Since, this is rectangle

so, we can find area of rectangle

A=L*W

A=(\frac{95}{6})*(\frac{52}{5})

A=\frac{494}{3} yard^2

Area of one sod:

length is

l=1\frac{1}{3} =\frac{4}{3} yards

width is

w=1\frac{1}{3} =\frac{4}{3} yards

Since, it is rectangle in shape

so,

Area=l*w

A=\frac{4}{3}*\frac{4}{3}

A=\frac{16}{9}yard^2

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

N=\frac{\frac{494}{3} }{\frac{16}{9} }

now, we can simplify it

N=\frac{741}{8} pieces need ..............Answer

7 0
3 years ago
Please I need to know today?
GenaCL600 [577]

Answer:

The three collinear poitns are D, A, and E.

Step-by-step explanation:

Collinear points are points that all reside on the same line. Since we are looking for 3 seperate points we need a line with 3 points. There are only 2 lines on the picture and only one has three lines getting you your answer.

8 0
3 years ago
You bought a boat for $10,000. you have owned it for one year, and it is now worth $8,50 . what is the percent decrease in your
BaLLatris [955]
Change in value= new price-original price
Change in value=850-10000
Change in value= -9150
%decreased=change in value/original price x 100
%decreased= 9150/10000x100
The answer is 91.5%
7 0
3 years ago
A beachball has a surface area of about 615.75 square meters. Find the
Genrish500 [490]

Answer: The radius of the ball is 7 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a sphere: 4 π r^2

Replacing with the value given:

615.75 = 4 π r^2

Solving for r (radius):

615.75 /4π= r^2

√(615.75 /4π) =r

r = 6.99 = 7m (rounded)  

The radius of the ball is 7 meters.

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
If p(a|b) = 0.35, p(b) = 0.75 and p(a) = 0.44 are the events a and b independent ?
MatroZZZ [7]
Hello : 
note 1 : 
 p(A|B) = p(A∩B)/<span> p(B)

note 2 : 
</span> A and B independent: p(A∩B) = p(A)×p(B)
calculate : p(A∩B)
p(A∩B) = p(A|B)×p(B)
p(A∩B) = 0.35 ×0.75 = 0.2625
but :  p(A)×p(B) = 0.44×0.75 = 0.33
 conclusion : 
<span>the events A and B  are not  independent ?</span>
6 0
3 years ago
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