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meriva
3 years ago
10

(10) Chuck's coin box contains only pennies and

Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Answer:

Step-by-step explanation:

Set up two equations with the information given-- and things you know from experience: a penny is worth 1 cent and a nickel is worth 5 cents. $ 2.38 is 238 cents (so you can eliminate decimals for now)

Put those values into an equation about the total value:

p + 5n = 238

and you know the total number of coins is 66.

p + n = 66

get a value for p by "solving" (subtract n from both sides)

p = 66-n

Substitute that value for p in the first equation. Then solve.

(66 -n) + 5n = 238

4n = 238-66   Then isolate n by dividing both sides by 4

n = 172/4

n = 43  Substitute that in the second equation, then solve for p

p + 43 = 66      p = 66 - 43

p = 23

So Chuck has 23 pennies and 43 nickels

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The recommended angle for a wheelchair ramp is 5 degrees. If the rise of the ramp to go up the steps is 5 feet, find the horizon
dybincka [34]

Answer:

57.2\ ft

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem

The tangent of angle of 5 degrees is equal to the quotient of "rise over run"

Let

y ----> the rise of the ramp

x ----> the run of the ramp

tan(5^o)=\frac{y}{x}

we have

y=5\ ft

substitute and solve for x

tan(5^o)=\frac{5}{x}

x=\frac{5}{tan(5^o)}

x=57.2\ ft

5 0
4 years ago
W (n) = n^2-n find w (-3)
Papessa [141]

Answer:

w(-3) = 12

Step-by-step explanation:

Plug in -3 for n in the equation:

w(n) = n^2 - n

w(-3) = (-3)^{2} - (-3)

Simplify. Remember to follow PEMDAS. First, solve the power:

w (-3) = (-3)^2 - (-3)\\w (-3) = (-3 * -3) - (-3)\\w (-3) = (9) - (-3)

Next, combine like terms. Note that if there are two negative signs directly next to each other, it becomes a positive sign. Add:

w(-3) = 9 - (-3)\\w(-3) = 9 + 3\\w(-3) = 12

Your answer: w(-3) = 12

5 0
3 years ago
I need to know what to do and the answer
Anni [7]

You would take 180•15% to get 27 then you would subtract 180-27 to get 153. After you do the first you would do 200•20% to get 40 200-40=160 so the cheaper one would be the 180 because about 15% discount it’s 153 and 160>153
5 0
3 years ago
Find the roots of the polynomial equation.<br><br> 2x3 + 2x2 – 19x + 20 = 0
d1i1m1o1n [39]
First, find any zero of the polynomial. Since you didn't ask for work, I'll assume it's okay if I use my calculator. Your given polynomial has only one real root which is x=-4.

Now we use the rule that x-a divides the polynomial where a is a zero of said polynomial.

So x+4 divides 2x^3+2x^2-19x+20. 
<span>(2x^3+2x^2-19x+20) / (x+4 equals 2x^2-6x+5).
 
If we factor out a two, we can use the quadratic formula.

2(x^2-3x+2.5) so we have x = (-(-3)+/-(9-4*1*2.5)^(1/2))/2*1)=(3+i)... or (3-i)/2 Where i is the square root of negative one. final answer:
2x^3+2x^2-19x+20=0
 
then x=-4, (3+i)/2, or (3-i)/2
</span>we have two imaginary number.
I hope it helped you
5 0
3 years ago
Read 2 more answers
Which is greater 4/3 or 5/3
Amiraneli [1.4K]
5/3 is greater improper fraction comes out to 1 2/3
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3 years ago
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