All categories

3 years ago

Amanda has $5.15 in dimes and quarters. She has eight more quarters than dimes. How many quarters does she have?

Mathematics

1 answer:

mel-nik [20]3 years ago

3 0

Answer:

Amanda has 17 quarters and 8 dimes.

Step-by-step explanation:

This problem can be solved using a system of equations and the substitution method. Let 'q' be the number of quarters and 'd' be the number of dimes. We know that the amount of dimes and quarters is $5.15 or: 0.1d + 0.25q = 5.15. We also know that there are 8 more quarters than dimes: q = d + 8. Substituting the expression 'd+ 8' into the first equation will help us solve for 'd': 0.1d + 0.25(d +8) = 5.15. Using distributive property and inverse operations, we can solve for d: 0.1d + 0.25d + 2 = 5.15 or 0.35d = 3.15 or d = 9. Since we now know there are 9 dimes, we can solve for 'q': q = 9 + 8 = 17.

You might be interested in

When you use sine and cosine to solve the value of 0 for the two triangles below, you obtain the same value.

Vikki [24]

Answer:The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

Step-by-step explanation:

In these definitions, the terms opposite, adjacent, and hypotenuse refer to the lengths of the sides.

For example, if we want to recall the definition of the sine, we reference S\blueD{O}\purpleC{H}SOHS, start color #11accd, O, end color #11accd, start color #aa87ff, H, end color #aa87ff, since sine starts with the letter S. The \text{\blueD{O}}Ostart text, start color #11accd, O, end color #11accd, end text and the \text{\purpleC{H}}Hstart text, start color #aa87ff, H, end color #aa87ff, end text help us to remember that sine is \text{\blueD{opposite}}oppositestart text, start color #11accd, o, p, p, o, s, i, t, e, end color #11accd, end text over \text{\purpleC{hypotenuse}}hypotenusestart text, start color #aa87ff, h, y, p, o, t, e, n, u, s, e, end color #aa87ff, end text!

3 0

3 years ago

Read 2 more answers

What are the zeros of the following polynomial: xo - 9x = 0

sveta [45]

Answer:

Step-by-step explanation:

hello :

x² - 9x = 0

x(x-9)=0

x=0 or x-9=0

x=0 or x= 9

6 0

3 years ago

HELP PLEASE!!!!!!! This is due tomorrow. 20 points for this.

gogolik [260]

Answer:

x=16.75 y=4.5

Step-by-step explanation:

first turn the first trapezoid sideways so the side that says 8 matches with the side that says 10. This is the proportion. 8:10. The bottom of the first trapezoid says x+2. This matches with the side that says 15. Because the side that says 15 is on the bigger trapezoid, multiply by ten. Then multiply the other trapezoid by 8. We get an equation that looks like. 8x+16=150 Simplify and 8x=134 divide and we get x=16.75. Do the same for the side with y. 8y-24=50. 8y=36 y=4.5. There you have it.

5 0

3 years ago

Pleaseee will make brainlist :(

Vlada [557]

Answer:

x^2 -20x + 100

Step-by-step explanation:

How this works is that you multiply each number by every other number, so.

(x+a)(x+b) so you do x times x since the parenthesis multiplies them together. Then you do x times b.

Then you do a times x since a is the next number in the first pair. then you do a times b.

(* is the sign for multiplication for the sake of simplifying it and to be easier than doing something like x x x where you are multiplying x together with x.)

So in the expression (x + a)(x + b) you are basically doing

x * x + x * b + a * x + a * b

In your case, a is = to -10 and b is equal to -10

So your expression would be

x * x + x * -10 + -10 * x + -10 * -10

so x times x is x^2 and x times -10 is -10x You are doing -10 * x twice so it is -20x and -10 times -10 is 100

So the final equation would be x^2 plus -20x plus 100 or

x^2 + (-20x) + 100

which is

x^2 -20x + 100

Hope this helps!

4 0

3 years ago

2. Sketch the graph: 4y – 3x = 12.

goblinko [34]

Answer:

see below

Step-by-step explanation:

A graphing calculator is useful for this.

To find the x-intercept, set y=0 and solve for x:

0 -3x = 12

x = -4 . . . . . . divide by -3

To find the y-intercept, set x=0 and solve for y:

4y - 0 = 12

y = 3 . . . . . . divide by 4

Plot the x- and y-intercepts on their respective axes and draw a line through them.

4 0

3 years ago