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3 years ago

There are 12 coins ; dimes and quarters. The number of dimes is 2 more than the number of quarters.

Mathematics

1 answer:

galben [10]3 years ago

5 0

Answer:

D. $1.95

F. $3

Step-by-step explanation:

dimes: x + 2

quarters: x

x + 2 + x = 12

2x + 2 = 12

2x = 10

x = 5

dimes: x + 2 = 5 + 2 = 7

quarters: x = 5

Total value: (7 * .10) + (5 * .25) = $1.95

_____

dimes: x

quarters: 2x

x + 2x = 15

3x = 15

x = 5

dimes: x = 5

quarters: 2x = 2(5) = 10

Total value: (5 * .10) + (10 * .25) = $3

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An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 6.34 cents per

kirill [66]

Answer:

y = 18.38 + 0.0634x

Step-by-step explanation:

Given,

Monthly base charge = $18.38,

Also, the cost of each kilowatt-hours = 6.34 cents = $ 0.0634

( 1 cents = 0.01 dollars ),

So, the cost of x kilowatt-hours = 0.0634x,

If y represents the total monthly charge ( in dollars ) for x kilowatt-hours,

Thus, the total monthly charge for x kilowatt-hours = base charge + cost of x kilowatt-hours,

⇒ y = 18.38 + 0.0634x

Which is the required equation.

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3 years ago

Gasta is 4 years older than his sister. If his sister is 12 years old. How old is Gasta

Shalnov [3]

Answer:

16 years old

Step-by-step explanation:

The age of his sister = 12 years old

Gasta is 4 years older than his sister,

The age of Gasta

= 4 + 12

= 16 years old.

Therefore,

Gasta is 16 years old.

8 0

2 years ago

Read 2 more answers

A ladder that is 13 meters long is leaning against a wall. The distance between the foot of the ladder and the wall is 7 meters

Maksim231197 [3]

<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

$x^2-7x-60=0$

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

$13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0$