You started with a total of 28 muffins
<h3>How to determine the amount you started with?</h3>
From the question, the given parameters are:
Proportion carried away = 16 of the total muffins
Proportion carried away = 4/7 of the total muffins
The above parameters implies that
4/7 of the total muffins = 16
Represent the amount you started with x
So, we have the following representation
4/7 of x = 16
Express as products
4/7x = 16
Make x the subject
x = 7 * 16/4
Evaluate
x = 28
Hence, the total number of muffins is 28
Read more about proportions at
brainly.com/question/16828793
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In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
<span>a3 = 20.5 and a8 = 13
</span>
an = a1 + (n-1)d
20.5 = a1 + (3-1)d
</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5
The 11th term is calculated as follows:
a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 =
8.5</span>
Initial cash on hand : $200.00
Ticket cost : $87.96
T-shirt cost per piece: $30.00
The first thing Staci needs to do is to deduct the cost of the ticket from her money.
$200 - 87.96 = $112.04
Stacy has the extra amount of 112.04 to purchase t-shirts. Since, each t-shirt costs $30. To know the number of shirts she can buy, she must divide the difference by 30.
$112.04 / $30 = 3.73
Based from the quotient, Stacy can buy 3 t-shirts.
$30 * 3 = $90 total cost of the tshirts.
$112.04 - 90 = $22.04
After buying the ticket and 3 tshirts, Staci has an excess of $22.04 from her $200.
3(x+4)=9
3x+12=9
3x=-3
x=-1
Hope this helps :D
