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Mama L [17]
3 years ago
8

A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $5 per day. A bicycle rents for

$20 per day.
On a certain day, the owner of the business has 25 rentals and takes in $425.
Write a system of equation to represent this situation, then solve to find the number of each item rented.
Show both the equations and the solution.
Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

5x+20y=425

Step-by-step explanation:

Its 5 bucks for x pairs of skates

Its 20 dollars for y bikes

x+y rentals have to equal 25

all of this is equal to 425. All that is left to do is test with number until the statement is true.

try :

5(5)+(20)(20)=425

x + y do equal 25, and the total is equal to 425.

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Write a rule in coordinate form for the translation from Triangle EFG to Triangle
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Answer:

1st option

Step-by-step explanation:

Consider the coordinates of F and F'

F (- 3, 4 ) and F' (- 1, 3 )

To go from - 3 → - 1 in the x- directions , means adding 2

To go from 4 → 3 in the y- direction means subtracting 1

Then translation rule is

(x, y ) → (x + 2, y - 1 )

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3 years ago
250% of a number is 60. What is the number
katrin [286]

60 / 2.50 = 24

the number is 24

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Find the length of the missing side (nearest tenth).<br> 25 yd<br> 37 yd
Ket [755]

Answer:

27.3 yards

Step-by-step explanation:

Since this triangle is a right triangle, this can be solved using the equation:

a^2 + b^2 = c^2

c^2 is the side opposite to the right angle (37)

So, you need to change the equation to where it is set equal to b^2.

Subtract a^2 on both sides.

b^2 = c^2 - a^2

Now, plug in the numbers you have.

b^2 = 37^2 - 25^2

Simplify.

b^2 = 1369 - 625

b^2 = 744

Now, to find b, take the square root of 744.

√744 = 27.3

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3 years ago
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A restaurant serves 2394 pounds of turkey during a 3 week period. If the same amount is served each day. How many pounds of turk
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Find the sum of the convergent series. (round your answer to four decimal places. ) [infinity] (sin(9))n n = 1
Alexus [3.1K]

The sum of the convergent series \sum_{n=1}^{\infty}~(sin(1))^n is 5.31

For given question,

We have been given a series \sum_{n=1}^{\infty}~(sin(1))^n

\sum_{n=1}^{\infty}~(sin(1))^n=sin(1)+(sin(1))^2+...+(sin(1))^n

We need to find the sum of given convergent series.

Given series is a geometric series with ratio r = sin(1)

The first term of the given geometric series is a_1=sin(1)

So, the sum is,

= \frac{a_1}{1-r}

= sin(1) / [1 - sin(1)]

This means, the series converges to sin(1) / [1 - sin(1)]

\sum_{n=1}^{\infty}~(sin(1))^n

= \frac{sin(1)}{1-sin(1)}

= \frac{0.8415}{1-0.8415}

= \frac{0.8415}{0.1585}

= 5.31

Therefore, the sum of the convergent series \sum_{n=1}^{\infty}~(sin(1))^n is 5.31

Learn more about the convergent series here:

brainly.com/question/15415793

#SPJ4

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