Answer:
6m+36
Step-by-step explanation:
Distributive property: 6(m)+6(6)
6m+36
If Mia sold 2 more hats on each suceeding day, after working 40 days it is expected Mia had sold a total of 1523 hats.
<h3>How many hats will Mia sell everyday?</h3>
Day: Hats
- 1 = 1
- 2=3
- 3 = 5
- 4=7
- 5= 9
- 6=11
- 7= 13
- 8= 15
- 9=17
- 10=19
- 11= 21
- 12=23
- 13= 25
- among others
You can notice the number of hats she will sell follow a pattern as there are only sequential odd numbers.
<h3>How many hats will Mia sell in total?</h3>
By following the sequence let's add the hats she will sell everyday:
- 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57 + 59 + 61 + 63 + 65 + 67 + 69 + 71 + 73 + 75 + 79 = 1523
Learn more about sums in: brainly.com/question/13013054
The solution to the expressions given are;
9 -9t/ 12 - 5t
a. 20/ 169
b. -170/ 169
c. 386/ 169
d. -10/ 169
<h3>How to solve the expressions</h3>
Given:
We can see that both variables in the numerator and denominator have no common factor, thus cannot be factorized further
a. 
First, let's find the lowest common multiple
LCM = 169
= 
= 
= 20/ 169
b. 
The lowest common multiple is 119
= 
substract the numerator
= - 170/ 119
c.
The lowest common multiple is 169
= 
= 386/ 169
d. 
The lowest common multiple is 169
= 
= - 10/ 169
Thus, we have the solutions to be 9 -9t/ 12 - 5t, 20/ 169, -170/ 169, 386/ 169, -10/ 169 respectively.
Learn more about LCM here:
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2l + 2w = p
If you already have perimeter and length, you can use this formula to solve for width.
if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
<h3>
</h3><h3>
What is wrong with the graph?</h3>
When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.
In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
That is the only error with the graph.
If you want to learn more about piecewise functions:
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