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blsea [12.9K]
4 years ago
14

Leon has a handful of of dimes and quarters valuing $3.40. He has 6 more dimes than he does quarters. How many of each coins doe

s he have?
Mathematics
1 answer:
lesya [120]4 years ago
8 0

Answer: 14 dimes and 8 quarters

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

dimes ($0.10): x + 6

quarters ($0.25): x

Cost*quantity of dimes + Cost*quantity of quarters = Total value

0.10(x + 6) + x(0.25) = 3.40

0.10x + 0.60 + 0.25x = 3.40

0.35x + 0.60 = 3.40

<u>            -0.60  </u> <u>-0.60 </u>

0.35x             = 2.80

<u>÷0.35            </u>  <u>÷0.35 </u>

      x              = 8

dimes: x + 6   = 8 + 6   = 14

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The speed that a tsunami can travel is modeled by the equation , where s is the speed in kilometers per hour and d is the averag
dusya [7]

The approximate depth of water for a tsunami traveling at 200 kilometers per hour, given the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers, is <u>0.32 km</u>. Hence, <u>option A</u> is the correct choice.

To solve for the average depth of water, when the water is traveling at 200 kilometers per hour, we substitute speed S = 200, in the relation S = 356√d.

This will be solved in the following way:

S = 356√d,

or, 200 = 356√d {Substituting S = 200},

or, 200/356 = (356√d)/356 {Dividing both sides by 356},

or, √d = 0.5618 {Simplifying},

or, d = 0.32 kilometers.

Therefore, the approximate depth of water for a tsunami traveling at 200 kilometers per hour, given the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers, is <u>0.32 km</u>. Hence, <u>option A</u> is the correct choice.

The provided question is incomplete.

The complete question is:

"The speed that a tsunami can travel is modeled by the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

A. 0.32 km

B. 0.75 km

C. 1.12 km

D. 3.17 km"

Learn more about speed and depth relation at

brainly.com/question/2456082

#SPJ4

5 0
2 years ago
I am not good at doing these problems what's the answer??
igor_vitrenko [27]
15% of 80 = 0.15 x 80 = 12

answer
12 is 15% of 80
6 0
4 years ago
Name: Co
White raven [17]

Answer:

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.

Step-by-step explanation:

Let us first analyse the given information in the question:

→ Small paints (lets call them s) sell for $25.80 Per Painting, thus:

  25.80s gives as the profit for s number paints sold.

→ Large paints (lets call them l) sell for $56.25 Per Painting, thus:

  56.25l gives as the profit for l number paints sold.

We also know last month he sold six large paintings and three small paintings thus from our variables above we can say:

s=3\\l=6         Eqn(1).

Thus the total profit of all paintings sold would be:

PROFIT= 25.80s+56.25l       which by pluggin in Eqn(1) values gives

PROFIT=25.80*3+56.25*6\\PROFIT=414.90

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.

5 0
4 years ago
Solve the system of equation 2x + y = -4 and 5x – 3y = 1 by the method of elimination​
Radda [10]

Step-by-step explanation:

first step while implementing the elimination method is to look at the numbers which can be multiplied to which in order to have like terms as solved below

as you can see in equation number 2 that the number three can be multiplied with equation 1 in order to have like terms so you can cancel them out

so , multiply 3 with the whole of equation 1

3( 2x + y = -4 )

= 6x + 3y = -12

( keep in mind the sign of the number)

5x -3 y = 1

now ,

we have

6x + 3y = -12

5x -3y = 1

as you can see that now we have like terms and when we add both these equations the like terms cancel out each other as they have opposite signs ( + - gives you - )

so , once you add the like terms this is what you will get

6x + 5x +3y-3y -12+1

= 11x + 0 - 11

then you can simplify this further for x first

11x = 11

x = 11/11

<u>x </u><u>=</u><u> </u><u>1</u>

now we have the value of x let's simply further for y

let's take equation 2

5(1) - 3y =1

5 -3y = 1

5-1 = 3y

4 = 3y

<u>4</u><u>/</u><u>3</u><u> </u><u>=</u><u> </u><u>y </u>

to confirm your values you can put these values in one of the two equations given initially , let's use equation two to check .

5x-3y = 1

( now let's place the values of x and y into the equation and see if our answer is 1 )

5 (1) - 3 (4/3)

= 5 - 4

= 1

it is correct

7 0
3 years ago
Select the proper order from least to greatest for 2⁄3 , 7⁄6 , 1⁄8 , 9⁄10 . A. 2⁄3 , 9⁄10 , 7⁄6 , 1⁄8 . B. 7⁄6 , 9⁄10 , 2⁄3 , 1⁄
Nataly_w [17]
The correct answer is B.
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is greater then one, 9/10 is only slightly less than one, 2/3 is a little more than half, and 1/8 is the smallest number.
5 0
3 years ago
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