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Ksivusya [100]
2 years ago
6

Samantha is mixing yellow and red paint to make orange paint. The table below shows the ratio of drops of red paint to yellow pa

int needed to make orange paint. Complete the table to determine how many drops of red paint are needed when 35 drops of yellow paint are used.
Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
3 0
She used 14 drops of yellow paint
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The age of a father is three times that of his son. In ten year's time their ages will add up to 68 years. If the son is x years
Elodia [21]

Answer:

46 and 22

Step-by-step explanation:

let the father b (f) and d son is (s)

so

f=3s.....(1)

(f+10) +(s+10)=68 .... (2)

substitute f=3s in equation (2)

we have

(3s+10)+(s+10)=68

4s+20=68

4s=68-20

4s=48

s=12 .......(3)

substitute (3) in (1)

f=3*12

which f=36

in 10 year time

f+10 =46

s+10=22

3 0
2 years ago
What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI
Lera25 [3.4K]
We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere

if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
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surface area=4*pi*10²----> 1256 units²
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3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is <  surface area
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3 years ago
Use the diagram to answer the following
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Anna007 [38]

Answer:

i think this is right but if its not please let me know its a guess im not very good at math

6 0
3 years ago
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marin [14]
10x -15 = 5
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