Janelle has $75. She buys jeans that are on sale for half price and then uses an in-store coupon for $10 off. After paying $1.80 in sales tax, she receives $37.20 in change. What was the original price of the jeans?

Answers

Answer 1

Answer: 75.00-37.20=37.80-1.80=36.00
so she spent 36.00 with sales tax . then 36.00*2=72.00+10.00=82.00
the jeans original price was 82.00
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Round 9.921 to the nearest hundredth

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Your answer is 9.92 :))

Can someone tell me how

Answers

the way I get the subsequent term, nevermind the exponents, the exponents part is easy, since one is decreasing and another is increasing, but the coefficient, to get it, what I usually do is.

multiply the current coefficient by the exponent of the first-term, and divide that by the exponent of the second-term + 1.

so if my current expanded term is say 7a³b⁴, to get the next coefficient, what I do is (7*3)/5 <----- notice, current coefficient times 3 divided by 4+1.

anyhow, with that out of the way, lemme proceed in this one.

$\bf ~~~~~~~~\textit{binomial theorem expansion} \n\n \qquad \qquad (1+ax)^n\implies \begin{array}{llll} term&coefficient&value\n \cline{1-3}&\n 1&+1&(1)^n(ax)^0\n\n 2&+((1)(n))/(1)\to n&(1)^(n-1)(ax)^1\n\n 3&+(n\cdot (n-1))/(2)&(1)^(n-2)(ax)^2 \end{array}$

so, following that to get the next coefficient, we get those equivalents as you see there for the 2nd and 3rd terms.

so then, we know that the expanded 2nd term is 24x therefore

$\bf n(1)^(n-1)(ax)1 = 24x\implies n(1)(ax)=24x\implies nax=24x\implies n=\cfrac{24}{a}$

we also know that the expanded 3rd term is 240x², therefore we can say that

$\bf \cfrac{n(n-1)}{2}~~(1)^(n-2)(ax)^2 = 240x^2\implies \cfrac{n(n-1)}{2}(1)(a^2x^2) = 240x^2 \n\n\n \cfrac{(n^2-n)(a^2x^2)}{2}=240x^2\implies \cfrac{(n^2-n)(a^2)}{2}=\cfrac{240x^2}{x^2}\implies \cfrac{a^2n^2-a^2n}{2}=240 \n\n\n a^2n^2-a^2n=480$

but but but, we know what "n" equals to, recall above, so let's do some quick substitution

$\bf a^2n^2-a^2n=480\qquad \boxed{n=\cfrac{24}{a}}\qquad a^2\left( \cfrac{24}{a} \right)^2-a^2\left( \cfrac{24}{a} \right)=480 \n\n\n a^2\cdot \cfrac{24^2}{a^2}-24a=480\implies 24^2-24a=480\implies 576-24a=480 \n\n\n -24a=-96\implies a=\cfrac{-96}{-24}\implies \blacktriangleright a = 4\blacktriangleleft \n\n[-0.35em] ~\dotfill\n\n n=\cfrac{24}{a}\implies n=\cfrac{24}{4}\implies \blacktriangleright n=6 \blacktriangleleft$

If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?.A. (5,3)
B. (4,5)
C. (5,5)
D. (4,3)

Answers

The answer is D. 4,3

Hi everyone!! Could someone write a real-world problem in which you could graph function? Thanks!! The best ne will win the title of the most brainliest!!

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Madeline is on a diet. She exercises every day in order to lose some weight. she currently has 210 pounds. Make a graph with a number of pounds she loses and with the amount of time she takes (in months) to lose that weight.

Well,

The example I will use will be the relationship between the Celsius scale and the Fahrenheit scale.

The formula for the conversion between Fahrenheit and Celsius:

$F= (9)/(5) C+32$

We can immediately see that this is a linear equation if we substitute y for F and x for C.

$y= (9)/(5) x+32$

or

$f(x)= (9)/(5) x+32$

It is a line that has a y-intercept of (0,32), and has a slope of 9/5.

I have attached the line below.

A triangle has sides with lengths of 5x-7, 3x-4, and 2x-6. What is the perimeter of the triangle?

Answers

(5x-7)+(3x-4)+(2x-6)

=5x-7+3x-4+2x-6

=[5x+3x+2x]+[(-7)+(-4)+(-6)]

=10x-17

⇒The perimeter of the triangle: 10x-17.

56 in a a ratio of 4:3

Answers

4+3=7
56/7 = 8
4 x 8 is 32
3 x 8 is 24
The answer is £32 and £24.
Hope this helps you!! =')

There are 4 "parts" and 3 "parts, a total of 7 parts so each part must be 56/7 = 8
4 x 8 is 32
3 x 8 is 24
so it's £32 AND £24

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