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melisa1 [442]
3 years ago
9

I NEED HELP ASAP 85 POINTS At a bargain store, Tanya bought 5 items that each cost the same amount. Tony bought 3 items that eac

h cost the same amount, but each was $2.5 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(A)Write an equation. Let x represent the cost of one of Tanya's items.
(B)Solve the equation. Show your work.
(C)Check your solution. Show your work.
(D)State the solution in complete sentences.
Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

Answer:

Step-by-step explanation:

A) 5x = 3(x - 2.5)

-----------------------

B)

Distribute

5x = 3x - 7.5

Subtract 3x from both sides

2x = -7.5

Divde both sides by 2

x = -3.75

-----------------------

C)

5 * (-3.75) = 3(-3.75 - 2.5)

-18.75 = -18.75

D)

Tanya paid –$3.75 for each of 5 items

Tony paid –$6.25 for each of 3 items

There seems to be an error in the question since the cost of items is negative

Tony bought fewer items and paid less for each.

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Is 8.24 a rational number?
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Answer:

8.24 is not a rational number

Step-by-step explanation:

The simple way to remember or find if the number is rational or not is that

* Rational numbers are always in the form of p/q and q should not be equal to zero

here u can even see 8.24 can be written as 8.24/0 so it is clearly showing that it is not a rational number

4 0
3 years ago
Identify the sequence as arithmetic, geometric, both, or neither. 50, –50, 50, –50, . . . both arithmetic geometric neither desc
stellarik [79]

Answer:

<em>The sequence is geometric.</em>

Step-by-step explanation:

In Arithmetic sequence, there is a common difference between any two consecutive terms but in Geometric sequence, there is a common ratio between any two consecutive terms.

Given sequence is:   50,  -50,  50,  -50,.................  

Lets assume, the terms as  a_{1}, a_{2}, a_{3}, a_{4},...........

<em><u>Checking for common difference:</u></em>  

a_{2}-a_{1}= (-50)-(50)= -100\\ \\ a_{3}-a_{2}=(50)-(-50)=100\\ \\ a_{4}-a_{3}=(-50)-(50)=-100

As there is no common difference, so it's not an arithmetic sequence.

<u><em>Checking for common ratio</em></u>

\frac{a_{2}}{a_{1}}=\frac{-50}{50}=-1\\ \\ \frac{a_{3}}{a_{2}}=\frac{50}{-50}=-1\\ \\ \frac{a_{4}}{a_{3}}=\frac{-50}{50}=-1

As there is a common ratio, so it's a geometric sequence.

8 0
4 years ago
In a chess tournament, each player plays every other player exactly once. If it is known that 36 games were played, how many pla
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36, the games determine how many players there are b/c each player plays once
5 0
2 years ago
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than
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3 years ago
A Ferris wheel has an area of 50 square meters. Find
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Answer:

19.7 m

Step-by-step explanation:

Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.

Hypotenuse is 10.2 m (radius of circle)

The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees

sin 40 degrees=rise /radius=rise/10.2

sin 40=0.6428=rise/10.2

rise=10.2(0.6428)

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13.1+6.6=19.7 m

4 0
3 years ago
Read 2 more answers
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