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kodGreya [7K]
3 years ago
13

Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon.

Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer: Brandon is 24, Michael is 72.

Step-by-step explanation:

Let m represent Michael

Let b represent Brandon

Then,

m = 3b                    <-----------"Michael is 3 times as old as Brandon."  

m - 18 = 9(b - 18)    <-----------"18 years ago, Michael was 9 times as old as Brandon."  

3b - 18 = 9b - 162

-18 = 6b - 162

144 = 6b

Michael is 3 times as old as Brandon. Also, 18 years ago, Brandon would have been 6 and Michael would have been 54 meaning Michael was 9 times as old as Brandon 18 years ago.

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Step-by-step explanation:

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What is the mean number of hours worked that week?
Veseljchak [2.6K]

Answer:

well how menny hours per day?

Step-by-step explanation:

Mean is the middle

Median is the average

Mode is most often.

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4 years ago
The area of the shaded segment is 100cm^2. Calculate the value of r.
Reil [10]
Hello, 

The formula for finding the area of a circular region is: A=  \frac{ \alpha *r^{2} }{2}

then:
A_{1} = \frac{80*r^{2} }{2}

With the two radius it is formed an isosceles triangle, so, we must obtain its area, but first we obtain the height and the base.

cos(40)= \frac{h}{r}  \\  \\ h= r*cos(40)\\ \\ \\ sen(40)= \frac{b}{r} \\ \\ b=r*sen(40)

Now we can find its area:
A_{2}=2* \frac{b*h}{2}  \\  \\ A_{2}= [r*sen(40)][r*cos(40)]\\  \\A_{2}= r^{2}*sen(40)*cos(40)

The subtraction of the two areas is 100cm^2, then:

A_{1}-A_{2}=100cm^{2} \\ (40*r^{2})-(r^{2}*sen(40)*cos(40) )=100cm^{2} \\ 39.51r^{2}=100cm^{2} \\ r^{2}=2.53cm^{2} \\ r=1.59cm

Answer: r= 1.59cm
7 0
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Which of the following diagrams represents 80%?<br><br>Help please. it'd be very appreciated. :)​
Alenkasestr [34]

Answer:

H

Step-by-step explanation:

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5 0
3 years ago
Jada, Lin, and Elena are saving money for a trip. Together they saved $120. Jada saved $20 less than Lin. Lin saved 3 times as m
defon

Step-by-step explanation:

This is a word problem that we must translate to mathematical expression before we can solve.

let the individual saving be the first letters of the names

Jada= J

Lin= L

Elena= E

1. Jada saved $20 less than Lin

    J=L-20

2. Lin saved 3 times as much money as Elena

   L= 3E

3. Hence Elena saved

   E

Together they saved $120.

hence

(L-20)+3E+E= 120

L-20+3E+E= 120

collecting like terms we hav

L+4E=120+20

L+4E= 140

but we know that L= 3E

3E+4E= 140

7E= 140

divide both sides by 7 we have

E= 140/7

E= $20

This means Elena saves $70

also  L= 3E

L= 3*20

L= $60

this means that Lean saved $60

also  J=L-20

J= 60-20

J= $40

This means that Jada saved $40

6 0
3 years ago
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