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ladessa [460]
2 years ago
9

a pile of coins, consisting of dimes and quarters only, is worth 4 dollars and 55 cents. there are 7 more dimes than quarters in

the pile. find the number of quarters and dimes.
Mathematics
1 answer:
Lady_Fox [76]2 years ago
7 0

11 quarters and 18 dimes

Hope this helps! :D

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A cyclist rides at a constant speed of 15 miles per hour. At this speed, about how long would it take the cyclist to ride from G
goblinko [34]

Answer: 5.61333333 h

If the length between Garden city to dodge city is 84.2km the answer would be 5.61333333 hours [non-terminating decimal]

Step-by-step explanation:

So ummm, i dunno if the answer is right but yeahh

1h = 15 miles

Distance between GC AND DC = 84.2

84.2 * 15 = 5.6133333

3 0
1 year ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
wolverine [178]

Answer:

x^4 - 14x^2 - 40x - 75.

Step-by-step explanation:

As complex roots exist in conjugate pairs the other zero is -1 - 2i.

So in factor form we have the polynomial function:

(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)

= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)

The first 2 factors  = x^2 - 2x - 15 and

( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2

=  x^2 + 2x + 1 + 4

= x^2 + 2x + 5.

So in standard form we have:

(x^2 - 2x - 15 )(x^2 + 2x + 5)

= x^4  + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75

= x^4 - 14x^2 - 40x - 75.

7 0
3 years ago
The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?
7nadin3 [17]

<span>Length = l</span>

<span>
Width = w</span>

<span>
Perimeter = p = 100

</span>

<span>Perimeter of rectangle = 2(l+w)</span>

<span>
100 = 2 (4w + w)</span>

<span>
100 = 2(5w)</span>

<span>
100 = 10w</span>

<span>
100/10 = w</span>

<span>
10 = w</span>

<span>
w =  10



Area of rectangle = length * width</span>

<span>
a = l*w</span>

<span> a = 4w*w</span>

<span>
a = 4w^2............(1)</span>

<span>
Put the value of w in (1)</span>

<span>
a = 4(10)^2</span>

<span>
a= 4(100)</span>

<span>
a = 400 yd^2</span>

4 0
3 years ago
How do I solve this type of problem? I'm trying to find both missing values. Please explain how to solve this as thoroughly as y
goldenfox [79]
Hi there! 

In order to solve, we'll need to use a proportion: 20/a = 21/20. Then, we'll cross-multiply and solve to find a: 21a = 400 | a = 19.05. Next, to find b, we can just use pythagorean theorem: 20^2 + (400/21)^2 = b^2 | b = 27.62.
We are using geometric mean to solve for a, then using pythagorean theorem to solve for b. If you need more help with geometric mean, or would like a complete explanation, please let me know! I'd be happy to provide you with that information.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
3 0
3 years ago
Which is an equation of a direct proportion?<br> A: y=16x+6<br> B: y=6x<br> C: y=6x−6<br> D: y=6x
hammer [34]

Answer:

B) y=6x

Step-by-step explanation:

7 0
3 years ago
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