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3 years ago

10

five pencils and four pens cost $6.15. three similar pencils and eight owns cost $9.85. how much would you expect to pay for a s

et of eight pencils and seven pens?

1 answer:

stepladder [879]3 years ago

8 0

Here you have to add and subtract

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Usha and Parker have a combined monthly net income of $4,500. They both chip in to pay their $675 rent each month. They also hav

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Usha and Parker should not take another debt to their current situation because their debt to income ratio (DIR) has exceeded the Basic Qualified Mortgage DIR for the common benchmark. The qualified mortgage debt to income ratio is 43% and Usha and Parker debt to income ratio is 47.9%. Debt to income ratio is calculated by dividing total personal debt with net income.

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3 years ago

What is the LCM of 72 and 75

Ganezh [65]

Lcm (72; 75) = 1,800: least common multiple, calculated. The numbers have common prime factors.

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3 years ago

Use the formula L= 10 log 10 R, where Is the loudness of a sound and R is the sound's relative intensity. to find out how much l

WINSTONCH [101]

Answer:

$X=24.1decibels$

Step-by-step explanation:

From the question we are told that:

Loudness function $L= 10 log_{10} R$

Sound of a person $S_p=80\ decibels\ or 10^8$

Number of persons talking $n=20 people$

Generally the Relative intensity for 20 people is mathematically given by

Relative intensity for $R_{20}=$ $20*10^8$

Relative intensity for $R_{20}=$ $20^8$

Generally the loudness for 20 people is mathematically given by

$L_{20}= 10 log_{10} R$

$L_{20}= 10 log_{10} 20^8$

$L_{20}= 10 (8 log_{10} 20)$

$L_{20}= 104.1 decibels$

Therefore increase in loudness X is given as

$X=104.1-80=-52.90$

$X=24.1decibels$

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2 years ago

How do you do fraction

MakcuM [25]

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Step-by-step explanation:

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3 years ago

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

<u>Solution: </u>

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

5 0

3 years ago