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3 years ago

Can someone help plzzz?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

8 0

Answer:

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Olivia is painting a logo for a billboard and wants to use a combination of blue paint and red paint to completely cover a 5000

My name is Ann [436]

Answer:

($20/gal)r + ($30/gal)b ≤ $250

r + b ≤ 10 (gallons)

Step-by-step explanation:

Represent the amount of red paint by r and that of blue point by b.

Olivia must cover 5000 ft^2 with paint, which comes out to 5000/500, or 10, gallons total of red and blue paint. The corresponding inequality is

r + b ≤ 10 (gallons)

She has onlyl $250 to spend. Therefore, the following must hold true:

($20/gal)r + ($30/gal)b ≤ $250

The required sysstem of inequalities is thus

($20/gal)r + ($30/gal)b ≤ $250

r + b ≤ 10 (gallons)

5 0

3 years ago

Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing

madam [21]

Answer:

12/15

Step-by-step explanation:

If the probability of drawing a read marble is 3/15

Then that would just make the probability of NOT drawing a red marble 12/5

5 0

3 years ago

1. a. A cube’s volume is 512 cubic units. What is the length of its edge?

Vanyuwa [196]

Answer:

a) The length of its edge is 8 units.

b) The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

Step-by-step explanation:

a) The volume of a cube ( $V_{c}$ ), measured in cubic units, is defined by the following expression:

$V_{c} = L^{3}$ (1)

Where $L$ is the side length of the cube, measured in units.

If we know that $V_{c} = 512\,u^{3}$ , then the length of its edge is:

$L = \sqrt[3]{V_{c}}$

$L = 8\,u$

The length of its edge is 8 units.

b) The volume of a sphere ( $V_{s}$ ), measured in cubic units, that fits snugly inside this cube is defined by:

$V_{s} = \frac{\pi}{6}\cdot L^{3}$ (2)

If we know that $L = 8\,u$ , then the volume of the sphere is:

$V_{s} \approx 268.083\,u^{3}$

The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube taken by the sphere is the ratio of the volume of the sphere to the volume of the cube. That is to say:

$r = \frac{V_{s}}{V_{c}}$

If we know that $V_{c} = 512\,u^{3}$ and $V_{s} \approx 268.083\,u^{3}$ , then the fraction of the cube that is taken up by the sphere is:

$r = 0.524$

The result in percentage form is calculated by multiplying the result above by 100.

$\% r = 52.4\,\%$

The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

6 0

3 years ago

a painter chargers $12 an hour while his son charges $6 an hour. if the father and son worked the same amount of time together o

vodomira [7]

Answer: 6 hours

Step-by-step explanation:

Let x= the number of hours they've worked

12x+6x=108

Combine like terms

18x=108

Divide 18 on both sides

18/18 x=108/18

x=6

Hope this helps!! :)

Please let me know if you have any question

3 0

3 years ago

Read 2 more answers

X+y=3<br> y+x= 5<br><br> help please

Oksana_A [137]

Solve by elimination ie eliminate x or y from the equations by performing operations on them.
first label the equations , to follow the process.
x - y = 5 ----------------(1)
x+ y = 3 ----------------(2)
If (1) and (2) are added then y will be eliminated.
(1) + (2) gives : 2x = 8 → x = 4
now substitute this value of x into either of the 2 equations and solve for y.
let x = 4 in (1) : 4 - y = 5 → -y = 1 → y = -1
check in (1) : 4-(-1) = 4+1 = 5
check in(2) : 4 - 1 = 3

So your answer is x = 4 , y = -1

8 0

3 years ago