The plot below shows the length of each of the 7 bulletin boards hanging in the fifth grade hallway. All measurements are rounde
1 answer:
Answer:
Step-by-step explanation:
Given
See attachment for dot plot
Required
The length of the 3 longest boards
From the attachment, the longest bulletin is 4 meters long which has a frequency of 1. This is followed by bulletin of 3 1/2 meters long; however, the frequency is 2
<em>The frequency is gotten by counting the total dots on each length. </em>
So, the total is:
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Answer:
See explanation
Step-by-step explanation:
Jane is given a $100 gift to start and saves $35 a month from her allowance.
- After 1 month, Jane has saved
- After 2 months, Jane has saved
- After three months, Jane has saved
- and so on
In general, after x months Jane has saved
This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.
Answer:
The merchant buys 30 shirts originally.
Step-by-step explanation:
Let us assume that the merchant bought x numbers of shirts in $120.
So, the cost for each shirt is $.
Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.
So, we can write the following equation as
⇒(120 - x)(x + 10) = 120x
⇒ 120x - 10x + 1200 - x² = 120x
⇒ x² +10x - 1200 = 0
⇒ x² + 40x - 30x - 1200 = 0
⇒(x + 40)(x - 30) = 0
⇒ x = - 40 or x = 30
But x can not be negative.
Hence, the merchant buys 30 shirts originally. (Answer)