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natali 33 [55]
2 years ago
7

Kendra has $3.15 in dimes and nickels. If she has 4 times as many dimes as nickels, how many of each coin does she have?

Mathematics
1 answer:
svetoff [14.1K]2 years ago
6 0
  • It is important to note that:

A nickel = $0.05

A dime = $0.10

We would be representing,

The number of nickels =  n

The number of dimes = d

  • Kendra has $3.15 in dimes and nickels. Writing this statement as an algebraic expression:

0.05n + 0.10d = 3.15...............Equation 1

  • She has 4 times as many dimes as nickels. The algebraic expression for this statement :

4n = d ........................................ Equation 2

We would substitute 4n for d in Equation 1

0.05n  + 0.10 x 4n = 3.15...............Equation 3

0.05n + 0.4n = 3.15

0.45n = 3.15

Divide both sides by 0.45

0.45n/0.45 = 3.15/0.45

n = 7

The number of nickels is 7

We solve for d, the number of dimes

4n = d

n = 7

4 x 7 = d

28 = d

The number of dimes is  28

Therefore, Kendra has 7 nickels and 28 dimes

To learn more, visit the link below:

brainly.com/question/14749963

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Mrs.Cranston bought five bottles of water for $0.90 each and 8 pounds of meat. She paid a total of $26.90 for these items, not i
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Water = 5 bottles * $0.90 = $4.50
meat = 8 pounds * x amount.

Total = water + meat prices = $26.90
26.90 = $4.50 + 8x
22.40 = 8x
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The price per pound of meat is $2.80.
6 0
3 years ago
A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3
fgiga [73]

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7

8 0
2 years ago
Find n. Perimeter = 86 in.
FromTheMoon [43]
Let the length of rectangle be L and the width of rectangle be W.
Since length exceeds the width by 25 inches, length will be
L = W + 25

Now the perimeter, P, is given by
P = 2(L + W)
Substituting L = W + 25 in the above equation,
P = 2(W + 25 + W)
P = 2(2W + 25)
P = 4W + 50
But P = 86 inches
P = 4W + 50 = 86
4W = 86 - 50 = 36
W = 36/4 = 9

Hence, width W = 9 inches.
Length L = W + 25 = 9 + 25 = 34 inches.
5 0
3 years ago
Helpppppp please ( math )​
Sati [7]

Hey!

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A open circle means that x is < or >.

A closed circle means that x is ≤ and ≥.

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Answer: A) x > -8 or x ≥ 5

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Explanation: Their are two dots on the number line. One being a closed dot and the other being an open dot. The open dot symbolizes that x needs to be greater than -8. The closed dot symbolizes that x needs to be less than or equal to 5.

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Hope This Helped! Good Luck!

3 0
2 years ago
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