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daser333 [38]
3 years ago
11

A jar contains 46 quarters and pennies. The total value of the coins is $4.30. Which system of equations can be used to find p,

the number of pennies, and q, the number of quarters?
Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

16 quarters

30 pennies

Step-by-step explanation:

q= quarters

p=pennies

set up a system of equations. One equation is for total value, the other is total # of coins.

q + p = 46

0.25q + 0.01p = 4.30 -> multiply this equation by 4 so you can subtract from the top equation

q + P =46

1q + 0.04p = 17.20

subtract the bottom equation from the top

0.96p = 28.8

divide by 0.96

p=30

substitute p in the top equation

q + 30 = 46

subtract 30 from both sides

q = 16

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Step-by-step explanation:

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3 years ago
What are the real and imaginary parts of the complex number?
Licemer1 [7]

Answer:

The real part is 2

The imaginary part is -5

Step-by-step explanation:

A complex number consists of a real part and an imaginary part. For example given the complex number z = x+it

x is the real part of the complex number z i.e Re(z) = x

Imaginary part of the complex number z is y i.e Im(z) = y.

Note that the real part are on the x axis of a graph while the y axis is the imaginary axis attached to the complex notation i

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3 years ago
Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was −170 feet. Then she continued to hike down
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Answer: First portion is greater than second portion.

Step-by-step explanation:

Time taken to hiked down a trail = 10 minutes

Change in elevation = (-) 170 feet

Speed is given by

Speed=\frac{Distance}{Time}\\\\Speed=\frac{170}{10}\\\\Speed=17\text{ feet per minute}

Similarly,

Time taken to hiked down a trail = 20 minutes

Change in elevation = (-)220 feet

Speed is given by

Speed=\frac{Distance}{Time}

Speed=\frac{220}{20}\\\\Speed=11\text{ feet per minutes}

So, we can see that first portion of the hike where he hiked down a trail at a steady rate for 10 minutes and her change in elevation was (-) 170 feet, was her rate of change in elevation greater.

<u>As 17 feet per minutes is greater than 11 feet per minutes.</u>


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2 years ago
A<br> n<br> s<br> w<br> e<br> r<br> p <br> l<br> e<br> a<br> s<br> e
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Answer is 16 because 16/4 = 4 + -12 = -8

3 0
2 years ago
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Answer:29

Step-by-step explanation:

simplified: 18+12-1=29

4 0
3 years ago
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