Answer:the first term is 6
Step-by-step explanation:
We would apply the formula for determining the sum of n terms of an arithmetic sequence. It is expressed as
Sn = n/2(a + l)
Where
n represents the number of terms in the arithmetic sequence.
l represents the last term in the arithmetic sequence.
a represents the first term in the arithmetic sequence.
From the information given,
l = 204
n = 12
Sn = 1260
We want to determine a. Therefore,
1260 = 12/2(a + 204)
1260 = 6(a + 204)
a + 204 = 1260/6 = 210
a = 210 - 204 = 6
Answer:
$270,000
Step-by-step explanation:
First, find the area of the plot using the formula A = lw
A = lw
A = (300)(150)
A = 45,000
Then, multiply this by 6 to find the total cost:
45,000(6)
= 270,000
So, the cost to tile the plot is $270,000
Answer:
4.87 ft
Step-by-step explanation:
The height of the skylight =
The height of the blue △ - the height of the red △
Let <em>b</em> ft be the height of the blue △.
sin 60° = 
<em>b</em> = 25 sin 60°
Let <em>r</em> ft be the height of the red △.
tan 40° = 
<em>r</em> = 20 tan 40°
The height of the skylight
= 25 sin 60° - 20 tan 40°
= 4.87 ft (rounded to the nearest hundredth)
Keywords:
<em>Cookies, boxes, sale, profit, unit cost
</em>
For this case we have to bake an amount of 702 cookies, which were distributed in boxes of 18 for sale. Selling each box at the same price earned a profit of 136.50 dollars, you want to know the unit cost of each box of cookies.
Let
be the number of boxes of cookies:
So, to know the number of boxes we divide 702 cookies among 18:

So, we have Tyler sold 39 boxes of cookies
Now, let
be the cost of each box of cookies, to know the unit cost or sale price of the cookie boxes, we divided 136.50 dollars among 39 boxes of cookies, then:

Thus, the cost of each box was 3.5 dollars.
Answer:
The cost of a box is 3.5 dollars
Answer:
To ensure uniformity on an exam
Or
To test whether you can distinguish between the two formats
Step-by-step explanation:
Standard form is when a straight line equation is rearranged in the form:

Therefore y=2x+4 in standard form is

The slope-intercept form is when a a straight line equation is written in the form:

where m is the slope and c is the y-intercept.
The given equation is

This is already in slope-intercept form:
The standard form and slope-intercept forms are just formats.
Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.
You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.