Answer:hi
Step-by-step explanation:
Answer: 2p+1.50=11.50
p = 5.00
<u>Step-by-step explanation:</u>
<em>Note: the tip is calculated on top of the total so this figure is a redherring</em>
<u>2 pancakes</u> <em>plus</em> <u>1 fruit cup</u> <em>equals</em> <u>total bill</u>
2p + 1.50 = 11.50
2p + 1.50 = 11.50
<u> - 1.50 </u> <u> - 1.50 </u>
2p = 10.00
<u>÷2 </u> <u> ÷2 </u>
p = 5.00
now, how do we get the coefficients? well, the first coefficient is 1, any subsequent is " the product of the current terms's coefficient and the exponent of the first element, divided by the exponent of the second element in the next term", now that's a mouthful, but for example,
how did get 210 for the 5th expanded term? well is just 120 * 7 / 4
how about 252 of the 6th term? 210 * 6 / 5.
how about 45 of the 9th one? 120 * 3 / 8.
of course, the exponents for each is simple, as you'd already know from the binomial theorem.
so, just expand away the 9th expanded term.
3(5+6)3+1 that is what I think it is 99% sur
Zach have to send 300 number of multimedia texts for the same cost in two packages.
<u>Step-by-step explanation:</u>
Package A charges $0.25 per multimedia text with no monthly fees.
Package B charges $0.20 per multimedia text and has a $15 monthly fee.
<u>To frame the equations :</u>
- Let x be the any amount of multimedia texts are sent.
- Let y be the total cost for using the multimedia package.
<u>Package A Equation :</u>
Total cost = No.of text sent × cost per text.
⇒ y = x × 0.25
⇒ y = 0.25x
∴ The equation of package A is y = 0.25x
<u>Package B Equation :</u>
Total cost = (No.of text sent × cost per text) + Monthly fee
⇒ y = (x × 0.20) + 15
⇒ y = 0.2x + 15
∴ The equation of a package B is y = 0.2x + 15
Now, the question is about how many multimedia texts will Zach have to send each month for the two multimedia texting packages to be the same cost.
⇒ equation of package A = equation of package B
⇒ 0.25x = 0.2x + 15
⇒ 0.25x - 0.2x = 15
⇒ 0.05x = 15
⇒ x = 15 / 0.05
⇒ x = 300
∴ Zach have to send 300 number of multimedia texts for the same cost in two packages.
