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3 years ago

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There is $48 to be divided among 3 people. the ratio of dividing is 3:2:1. How much does the person who receives the most will g

et?

2 answers:

hodyreva [135]3 years ago

7 0

Answer:

The person who receives the most will get $24

Step-by-step explanation:

Let

x ----> amount received by the first person

y ----> amount received by the second person

z ----> amount received by the third person

we know that

$x+y+z=48$ ----> equation A

$x:y:z=3:2:1$

so

$\frac{x}{y}=\frac{3}{2}$

$x=1.5y$ ----> equation B

$\frac{y}{z}=\frac{2}{1}$

$z=0.5y$ ----> equation C

substitute equation B and equation C in equation A

$1.5y+y+0.5y=48$

solve for y

$3y=48\\y=\$16$

Find the value of x

$x=1.5(16)=\$24$

Find the value of z

$z=0.5(16)=\$8$

therefore

The person who receives the most will get $24

Pani-rosa [81]3 years ago

4 0

Answer:

$28 would go to the person recieving the most.

Step-by-step explanation:

3+2+1=6

6x=48

/6 /6

x=8

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BARSIC [14]

Answer:

The rate of change is -5

The initial value is 25

Step-by-step explanation:

Since, this is a linear relation

so, we can select any two points and find equation of line

points are (1,20) and (3,10)

so,

$x_1=1,y_1=20$

$x_2=3,y_2=10$

now, we can find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{10-20}{3-1}$

$m=-5$

now, we can use point slope form of line

$y-y_1=m(x-x_1)$

now, we can plug values

$y-20=-5(x-1)$

now, we can solve for y

$y=-5x+25$

we know that

slope is the rate of change

So, the rate of change is -5

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$y=-5\times 0+25$

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3 years ago

Find the approximate volume of the figure below, composed of a cone, a cylinder, and a hemisphere. If necessary, round your answ

mixas84 [53]

Answer:

Volume of the solid = 480.42m³

Step-by-step explanation:

To sov this question, we'll have to break the solid into different shapes of solid to solve it easily.

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Volume of a cone = ⅓πr²h

π = 3.14

r = 3m

h(cylinder) = 11m

Slant height of cone = 3√(2)

Height of cone = ?

To find height of cone, we can use pythagorean theorem

a² = b² + c²

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Volume of the hemisphere = 84.78m³

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3 years ago

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2 years ago

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2 years ago

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