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3 years ago

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Mathematics

1 answer:

alexandr1967 [171]3 years ago

4 0

The total cost of the bracelet will be $96.

The number of charms will be 2.

Step-by-step explanation:

Given,

Cost per charm at Dayton Fine Jewelry = $17

Cost of bracelet = $62

Let,

x be the number of charms

y be the total cost

y = 17x+62 Eqn 1

Cost per charm at Cain Jewelers = $18

Cost of bracelet = $60

y = 18x+60 Eqn 2

For same cost;

Eqn 1 = Eqn 2

$17x+62=18x+60\\62-60=18x-17x\\2=x\\x=2$

Putting x=2 in Eqn 1

$y=17(2)+62\\y=34+62\\y=96$

Putting x=2 in Eqn 2

$y=18(2) +60\\y=36+60\\y=96$

The total cost of the bracelet will be $96.

The number of charms will be 2.

Keywords: equation, addition

Learn more about addition at:

#LearnwithBrainly

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Answer:

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Alright so we are going to solve

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What is the volume of the cone? cone v = one-third b h startfraction 70 over 3 endfraction pi centimeters cubed startfraction 14

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Using the assumed values, the volume of the cone is $V = \frac {250}3\pi$

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Height, h =10

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2 years ago

The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)

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Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

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3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

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r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

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