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3 years ago

In the diagram, JKLM~EFGH. Find the scale factor of JKLM TO EFGH. Plz help

Mathematics

1 answer:

pav-90 [236]3 years ago

7 0

Answer:

Step-by-step explanation:

In similar polygons, corresponding sides are in proportion.

Scale factor k = $\frac{JK}{EF} = \frac{20}{8}=\frac{5}{2}$ = 5 : 2

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Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $

Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided $5400 between two investments. We can represent this information as:

$x+y=5400...(1)$

The return on her investment is $345.

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

$(\frac{8}{100})x+(\frac{5}{100})y=345...(2)$

$0.08x+0.05y=345...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=5400-y$

Substituting this value in equation (2) we will get,

$0.08(5400-y)+0.05y=345$

$432-0.08y+0.05y=345$

$-0.08y+0.05y=345-432$

$-0.03y=-87$

$\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}$

$y=2900$

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

$x+2900=5400$

$x+2900-2900=5400-2900$

$x=2500$

Therefore, Heather has invested an amount of $2500 at 8%.

6 0

3 years ago

At a football stadium, 20% of the fans in attendance were teenagers. If there

valina [46]

Answer:cgffffffffh

Step-by-step explanation:

6 0

2 years ago

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The expression below shows how to convert 12 gallons to cups with one part missing

kotegsom [21]

Answer:12

Step-by-step explanation:

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3 years ago

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I really need help with this please help best aswer gets brainliest

svet-max [94.6K]

Answer:

Relative frequency is 7.41% or 0.0741

Step-by-step explanation:

Given

The Attached Table

Required

Calculate the relative frequency of the class with lower limit 27

Relative Frequency is calculated by dividing individual frequency by the total frequency

Mathematically,

$Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}$

The total frequency of the given data is 6+8+4+2+5+2

$Total\ Frequency = 27$

The class with lower limit 27 has a frequency of 2;

Hence;

$Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}$ becomes

$Relative\ Frequency = \frac{2}{27}$

$Relative\ Frequency = 0.07407407407$

$Relative\ Frequency = 0.0741$ (Approximated)

You may also leave your answer in percentage form

$Relative\ Frequency = 0.0741 * 100\%$

$Relative\ Frequency = 7.41 \%$

Hence, the relative frequency is 7.41% or 0.0741

7 0

3 years ago

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Oriole Rental Company provided the following information to its auditors. For the year ended March 31, 2017, the company had rev

nikklg [1K]

Answer:

the cash flow from operation is $267,397

Step-by-step explanation:

Given that

Revenues be $876,223

General and admin expense $352,479

Depreciation expense $131,455

Leasing expense $108,195

Interest expense $78,122

Tax rate is 34%

We need to find out the cash flow from operation

As we know that

Cash flow from operation = (Revenue - general & admin expense - depreciation - leasing - interest) × (1 - tax rate) + depreciation

= ($876,223 - $352,479 - $131,455 - $108,195 - $78,122) × (1 - 0.34) + $131,455

= $205,972 × (1 - 0.34) + $131,455

= $267,397

Hence, the cash flow from operation is $267,397

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3 years ago