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Liula [17]
3 years ago
12

Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make exac

tly $74! How many quarters and how many dimes are there in Steve’s piggy bank?
Mathematics
1 answer:
Trava [24]3 years ago
5 0
X - quarters, x+5 - dimes.
$74=7400 cents
Then
(25x+10(x+5))=(25x+10x+50)=(35x+50) cents. 

35x+50=7400
35x=7400-50
35x=7350
x=7350/35
x=210 quarters

x+5=210+5=215 dimes

210 quarters and 215 dimes


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Answer:

+1 and -1

Step-by-step explanation:

The function in this problem is:

f(x)=\frac{(x-1)(x+1)}{6(x-4)(x+7)}

First of all, we have to define the domain of the function, which is the set of values of x for which the function is defined.

In order to find the domain, we have to require that the denominator is different from zero, so

6(x-4)(x+7)\neq 0

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x\neq 4\\x\neq -7

So the domain is all values of x, except from 4 and -7.

Now we can solve the problem and find the zeros of the function. The zeros can be found by requiring that the numerator is equal to zero, so:

(x-1)(x+1)=0

This is verified if either one of the two factors is equal to zero, therefore:

x-1=0\\\rightarrow x=+1

and

x+1 = 0\\\rightarrow x=-1

We see that both values are part of the domain, so they are acceptable values: so the zeros of the function are +1 and -1.

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KatRina [158]

Answer:

1. 109

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Step-by-step explanation:

1. since a triangle's interior angles always add up to 180, you can add 35 and 36 to get 71, then subtract that from 180 to find the third angle

2. the unnamed angle in triangle RUV is supplementary to <1.Supplementary angles are angle the add up to 180. So you can subtract 109 from 180 to find the unnamed angle. It is 71. Now you can repeat the steps in question one to find <2 in triangle RUV. You get that <2 is 29

3. Angle 3 and the unnamed angle are vertical angles. This means that they are opposite to each other and are congruent. This means that they have the same measure. Knowing that the unnamed angle is 71, we can say that angle 3 is also 71.

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Let's assume the distance traveled by light as "d"

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Mathematical connection i.e. area of the region

⇒area of circular region=\pi d^{2} {where d is the radius of region}

Learn more about area here:

brainly.com/question/27683633

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Answer: D

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