The linear equation represents y = mx + b describes several real world situations such as
- Relation between printer and ink cartridges,
- Relationship between number of songs and how much is left on the card.
<u>Step-by-step explanation</u>:
Linear equations y = mx + b.
m is your rate of change.
b is your constant. This is the initial value of y. The value of y when x is 0.
Finally, y is the thing that depends on x.
Oh right, examples:
- I buy a printer for $100 and the ink cartridges cost $25 each. The relationship between ink cartridges and total cost.
total cost = 25(cartridges I buy) + 100 or y = 25x + 100
-
I get a $100 iTunes gift card for my birthday and then start buying $1 songs. The relationship between the number of songs I buy and how much is left on the card
amount left on card = -$1(songs bought) + 100 or y = -x +100
Triangles ABC and LBM are similar. We know this because AL and LB have the same length, so that AB is twice as long as either AL or LB. The same goes for MC and BM, and BC. The angle B is the same for both tirangles ABC and LBM, so the side-angle-side postulate tells us the triangles are similar, and in particular that triangle ABC is twice as large as LBM.
All this to say that LM must be half as long as AC, so LM has length (B) 14 cm.
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
Step-by-step explanation:
Given :
At the state fair, admission at the gate is $9.
In addition, the cost of each ride is $3.
Suppose that Sam will go on x rides.
Then, cost of x rides ( in dollars) = Cost per ride x Number of rides
=3x
Total cost ( in dollars) : Admission fee + cost of x rides
= 9+3x
Sam wants the total number of dollars he spends on admission and rides to be at most t ( less than or equal to t )
CONCLUSION:
The final answer is:
Using the values and variables given, write an inequality describing this.
B
I need 20 characters lol
Answer: 7.22
(note: this is a result after rounding. The result before rounding was 7.21875)
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Explanation:
Given Set of Values = {22, 16, 39, 35, 19, 34, 20, 26}
Add up the values: 22+16+39+35+19+34+20+26 = 211
Divide that sum by 8 as there are 8 values: 211/8 = 26.375
The mean is 26.375
Now subtract the mean from each data value. Apply the absolute value to ensure the difference is never negative
|22 - 26.375| = 4.375
|16 - 26.375| = 10.375
|39 - 26.375| = 12.625
|35 - 26.375| = 8.625
|19 - 26.375| = 7.375
|34 - 26.375| = 7.625
|20 - 26.375| = 6.375
|26 - 26.375| = 0.375
Add up those results
4.375+10.375+12.625+8.625+7.375+7.625+6.375+0.375 = 57.75
Then divide by 8
57.75/8 = 7.21875
The mean absolute deviation of the prices is 7.21875
Rounded to two decimal places, it is 7.22
Since we're talking about money, it makes sense to round to the nearest penny.
