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Annette [7]
3 years ago
10

Mr. Myers wants to join a music club. The 1st choice music club charges a $5 sign-up fee and $1 each song.The superstar music cl

ub charges no sign-up fee and charges $3.50 each song. After how many song will the cost of the music clubs be equal?
1st choice music club equation: _____ Superstar Music Club Equation: _____
Solution: _____
THIS WAS DUE YESTERDAY, with a lot of other confusing problems! Please help!
Mathematics
1 answer:
muminat3 years ago
7 0

Answer:

The answer is 2 songs and the solution is 7.

Step-by-step explanation:

1. Make an equation for each club. The 1st choice music club equation is 5+1x and the Music Club equation is 3.50x.

2. Go down the number line starting with 1 and replace x with that number and solve the equation until you get the same number on each side with the same replacement number.

3. So, 5+1x becomes 5+1(2) and that would equal 7. Then do 3.50x becomes 3.50(2) and that would also equals 7.

Note: When a number has a number next to it in parentheses then that means to have to multiply first. If you don't then you will get the wrong answer.

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There are a total of 15 bicycles and tricycles.There are 37 wheels all together if we count them up. How many tricycles and how
m_a_m_a [10]

Answer: there are eight bicycles and 7 tricycles.

Step-by-step explanation:

Let x represent the number of bicycles that are there.

Let y represent the number of tricycles that are there.

There are a total of 15 bicycles and tricycles. This means that

x + y = 15

A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that

2x + 3y = 37- - - - - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

2(15 - y) + 3y = 37

30 - 2y + 3y = 37

- 2y + 3y = 37 - 30

y = 7

x = 15 - y = 15 - 7

x = 8

7 0
3 years ago
Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220
Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = x/ 250 (hour)</em>

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> <em>x/ 250 = (1,880 - x)/220</em>

<em>=> 220x = 250 x (1,880 -x) </em>

<em>=> 220x = 470,000 - 250x</em>

<em>=> 470x = 470,000</em>

<em>=> x = 1,000</em>

<em />

<em>So that, </em>when two train pass each other, Lian has traveled x = 1,000 km

<em> </em>

6 0
4 years ago
Read 2 more answers
In which months were the expenses greater than the income? Name the month and find how much money was lost.
Liono4ka [1.6K]
 expenses is greater in Jan and Feb

Jan −85.6 Loss
   
Feb −162.44 Loss    

Mar 0 

June 306.77 Gain

July 301.5 Gain

Aug 337.88 Gain


5 0
3 years ago
Read 2 more answers
Claudia spends $2.15 a day for lunch. Her cafeteria lunch account has a balance of $48.00. Which equation can be used to determi
andreev551 [17]

Answer:

d≤48/2.15

Step-by-step explanation:

Step one:

Given data

Claudia spends $2.15 a day for lunch.

We are told that her balance is  $48.00

let the number of days be d

Step two:

The maximum number of days she can eat is given as

d≤48/2.15

d≤22.33 days

7 0
3 years ago
This trapezium is drawn on a centimetre grid.<br> Find the area of the trapezium.
aivan3 [116]

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

<u>From </u><u>the</u><u> </u><u>grid</u><u> </u><u>:</u><u>-</u>

\rm\implies Side_1 = 7 \ units

\rm\implies Side_2 = 3 \ units

\rm\implies \perp \ Distance =4  \ units

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times   \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm  Area = 20 \ unit^2}

3 0
3 years ago
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