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makvit [3.9K]
3 years ago
7

in a survey 3/10 people named blue as their favorite color. one out of the 5 named red. if 1,200 people were included in the sur

vey, how many named blue or red as there favorite color
Mathematics
1 answer:
Brut [27]3 years ago
5 0

The integer for one out of 5 is 1/5.

Knowing this, we simply do

(3/10 + 1/5)*1200

(3/10 + 2/10) * 1200

5/10 * 1200

1/2 * 1200 = 600.

600 people named red and blue as their favorite color.

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djyliett [7]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
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-8x+3(x-5)=25 solve for x<br><br> literally i will give u points or whatever just get me an answer
Nana76 [90]

Answer:

x = -8

Step-by-step explanation:

-8x + 3(x - 5) = 25

Distribute the 3 into the (x - 5).

-8x + 3x - 15 = 25

Combine like terms.

-5x - 15 = 25

Add 15 to both sides.

-5x = 40

Divide both sides by -5.

x = -8.

Proof:

-8x + 3(x - 5) = 25

Substitute variable.

-8(-8) + 3((-8) - 5) = 25

Subtract inside parenthesis.

-8(-8) + 3(-13) = 25

Multiply -8 and -8.

64 + 3(-13) = 25

Multiply 3 and -13.

64 + (-39) = 25

Add 64 and -39.

25 = 25

4 0
2 years ago
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HELP PLEASE Sam and George both worked hard over the summer. Together they earned a total of $525. George earned $75 more than S
ZanzabumX [31]

Answer:   Sam = $225      George = $300

<u>Step-by-step explanation:</u>

NOTES:

Sam: s

George: g = s + 75

Together: s + g = 525


a.

The two equations that can be created are "George" and Together"

The system is: \left \{ {{\text{g = s + 75}} \atop {\text{s + g = 525}}} \right.

b.

see attached graph

c.

The intersection of the two lines is at (225, 300).  Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.


BONUS:

This system can also be solved algebraically using the substitution method.

Replace "g" with "s + 75" into the second equation:

s + (s + 75) = 525

2s + 75 = 525

2s = 450

 s = 225

Next, input the s-value into the George equation to solve for g:

g = s + 75   = (225) + 75   = 300

5 0
2 years ago
Planners of an experiment are evaluating the design of a sphere of radius r that is to be filled with helium (0°c, 1 atm pressur
Vikentia [17]
The solution is:A mole of gas occupies 22.4 L A liter is 1000 cubic centimeters because 1 cubic centimeter = 1 mL
One Helium molecule (essentially one helium atom) has atomic mass 4 g/mol So for every 22400 cubic centimeters of volume, we have 4 grams of helium Density of helium = 4g / 22400 cm^3 = 1g / 5600 cm^3 
Volume of a sphere = (4/3)(pi)r^3 Volume of the outside sphere (the entire sphere) is (4/3)(pi)(R+T)^3 Volume of the inside sphere (the hollow region) is (4/3)(pi)R^3 
The difference for the volume of silver. (4/3)(pi)(R+T)^3 - (4/3)(pi)R^3 = (4/3)(pi)(3R^2T + 3RT^2 + T^3) 
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Now for the mass of helium: volume x density = (4/3)(pi)R^3 (1/5600) = (pi/4200)R^3 

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then solve for xx = T / R 1/x = 58800*( 3+x/R+x^2) 1/58800 = x (3 + x/R + x^2) 1/58800 = 3x + x^3 x^3 + 3x - 1/58800= 0 x = ~ 5.66893x10^(-6)
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3 years ago
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.
HACTEHA [7]
Volume should be 226.08 
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7 0
3 years ago
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