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2 years ago

Working alone, Jack can do a puzzle in 5 hours. With his brother's help, the two can do the same puzzle in 2 hours.

Mathematics

1 answer:

AysviL [449]2 years ago

6 0

Answer:

3 hours and 20 minutes

Step-by-step explanation:

Jack's rate is 1 puzzle for every 5 hours, so his rate per hour is 1/5 of a puzzle per hour.

We need to find the rate of his brother so here is our equation,

1/5 + 1/x = 1/2

1/2 - 1/5 =1/x

3/10 = 1/x

3/ 3x = 3/10

3x=10

x= 3 and 1/3 hours

3 hours and 20 minutes

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Year 11 math methods, help pls

Ludmilka [50]

Answer:

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Step-by-step explanation:

Please see the attachment:

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2 years ago

Suppose a stock had an initial price of $87 per share, paid a dividend of $1.60 per share during the year, and had an ending sha

Kitty [74]

Answer:

The total percentage return on the share investment is 19.08% as calculated below as sum of the dividends yield and capital gains yield

The dividend yield on the share is 1.84%

The capital gains yield on the share is 17.24%

Find the details of the figures in the explanation section below.

Step-by-step explanation:

The percentage total return on the share is given the total return/initial share price.

The total return is the addition of dividend yield and gains yield

dividend yield=dividend/share price

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4 0

3 years ago

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy

kari74 [83]

Answer:

Notebook is $4

Thumb drive is $23

Step-by-step explanation:

Let notebooks be x and thumb drives be y

6x+7y=$185

14x+12y=$332

These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain

42x+49y=$1295

42x+36y=$996

Subtracting the third equation from the fourth

996-1295=-$299

(36-49)y=-23y

-23y=-$299

y=$299/13=$23

To get the value of x, we substitute the value of y into the first equation

6x+(7*23)=$185

6x=$185-$161

6x=$24

x=$4

Therefore, price of notebook is $4, price of thumb drive is $23

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3 years ago

Bella received $1,200 after winning a national mathematics competition. She plans to invest this money for 5 years.

vredina [299]

Answer:

Step-by-step explanation:

A. 1200(1.078)⁵ = 1746.928179

B. 1200(1+.072*5)= 1632

Option A

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2 years ago

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choli [55]

This is how it would look on a graph.

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3 years ago