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irinina [24]
3 years ago
9

A sporting goods store sells 2 fishing reels and 5 fishing rods for $195. Later, they sell 4 fishing reels and 3 fishing rods fo

r $131. Find the price of each item.
Mathematics
1 answer:
Digiron [165]3 years ago
6 0
Let
Fishing reel = x
Fishing rods = y

Therefore,
2x + 5y = 195 ---- 1
4x + 3y = 131 ---- 2

Solving 1 and 2 above;
Multiply expression 1 by 2 and subtract 2 from the results;
4x + 10y = 390
4x + 3y = 131
-------------------
0x + 7y = 259 => y = 259/7 = 37

Using the value of y in expression 1;
2x + 5(37) = 195
2x + 185 = 195
2x = 10
x = 10/2 = 5

Therefore, the price of fishing reels is $5 and fishing rods is $37.
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0.23, 2/10, 1/6, 0.05
3 0
3 years ago
D=7.9cm. what is the circumference and area of the circle?
In-s [12.5K]
Circumfrence: pi times diameter
7.9*\pi
circumfrence is approximatley 24.806

area: \pi r^2
a=\pi*(1/2(d))^2
a= 48.99
8 0
4 years ago
Read 2 more answers
Worth 20 points !! need help asap !
taurus [48]

Answer:

all boxes except first should be checked

Step-by-step explanation:

the shaded area contains all solutions

see if each ordered pair resides in the solution area

5 0
3 years ago
A moving company charges $40 plus $0.10 per mile to rent a moving van. Another company charges $10 plus $0.25 per mile to rent t
mote1985 [20]
We will use an equation to model both costs and set them equal to each other to figure out the value for n.

40+0.10n=10+0.25n

30+0.10n=0.25n

30n=0.15n

200=n

At 200 miles, the cost will be the same.

5 0
3 years ago
(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0
2 years ago
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