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Ivenika [448]
2 years ago
8

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

additional pound.
How many pounds, p, will it take for UPS and FedEx to cost the same? What is the cost? Write and solve an equation to show your work.
Mathematics
1 answer:
Mamont248 [21]2 years ago
5 0

Answer:19.5

Step-by-step explanation:

7+7=14

14+0.20=14.2

14.2+5=19.2

19.2+0.30=19.5

Your answer is:19.5

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What is the solution to the system of equations graphed below?
murzikaleks [220]

Answer: C. (1, 4)

Step-by-step explanation:

The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).

7 0
1 year ago
What is the distance between (3, 5.25) and (3, –8.75)? 6 units 8.25 units 11.75 units 14 units
evablogger [386]
By using distance formula :


\text{Distance formula,}  \bold{  \boxed{ Distance = \sqrt{( x_{2} -x_{1})^{2}+(y_{2} -   y_{1})^{2}) }}}





Given points = ( 3 , 5.25 ) and ( 3 , - 8.75 )


\bold{Taking \:  \:  \:  x_{1}=3 \:   \: , \: \:   x_{2}= 3  \:  \: , \:   \:  y_{1}= 5.25 \:   \: ,  \:  \: y_{2}= -8.75}




On applying formula, we get


Distance = \sqrt{ ( x_{2}-x_{1})^{2}+(y_{2}-y_{1})^2} \\  \\  \\ Distance = \sqrt{ ( 3 - 3 )^{2} + ( - 8.75 - 5.25 )^{2}}  \\ \\ \\ Distance = \sqrt{ ( 0 )^{2}  + ( - 14)^{2}}  \\ \\ \\ Distance = \sqrt{ ( - 14 )^{2}} \\ \\ \\ Distance = \sqrt{ 14^{2}} \:\:\:\:\:\:\:\:\:\:\: \:  \:  \:  \:  \:  \:  \:  \:  | \bold{ ( - 14 )^{2} = 14^{2}}  \\  \\  \\ Distance =  {14}^{2 \times  \frac{1}{2} }  \\  \\  \\  Distance =  {14}^{1}  \\  \\  \\  Distance = 14 \: units








Hence, Option D is correct.
4 0
2 years ago
Read 2 more answers
Let P and Q be polynomials with positive coefficients. Consider the limit below. lim x→[infinity] P(x) Q(x) (a) Find the limit i
jenyasd209 [6]

Answer:

If the limit that you want to find is \lim_{x\to \infty}\dfrac{P(x)}{Q(x)} then you can use the following proof.

Step-by-step explanation:

Let P(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots+a_{1}x+a_{0} and Q(x)=b_{m}x^{m}+b_{m-1}x^{n-1}+\cdots+b_{1}x+b_{0} be the given polinomials. Then

\dfrac{P(x)}{Q(x)}=\dfrac{x^{n}(a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)}+a_{0}x^{-n})}{x^{m}(b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m})}=x^{n-m}\dfrac{a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)})+a_{0}x^{-n}}{b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m}}

Observe that

\lim_{x\to \infty}\dfrac{a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)})+a_{0}x^{-n}}{b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m}}=\dfrac{a_{n}}{b_{m}}

and

\lim_{x\to \infty} x^{n-m}=\begin{cases}0& \text{if}\,\, nm\end{cases}

Then

\lim_{x\to \infty}=\lim_{x\to \infty}x^{n-m}\dfrac{a_{n}+a_{n-1}x^{-1}+a_{n-2}x^{-2}+\cdots +a_{2}x^{-(n-2)}+a_{1}x^{-(n-1)}+a_{0}x^{-n}}{b_{m}+b_{m-1}x^{-1}+b_{n-2}x^{-2}+\cdots+b_{2}x^{-(m-2)}+b_{1}x^{-(m-1)}+b_{0}x^{-m}}=\begin{cases}0 & \text{if}\,\, nm \end{cases}

3 0
2 years ago
A circle is divided into 9 uneven "pie" shaped pieces. Each section is labeled 1, 2, ... , 9. The circle is then spun and the nu
8_murik_8 [283]
There are three outcomes of 4 out of eighteen outcomes, so the fraction of angle of spinner numbered 4 is \frac{3}{8}
7 0
2 years ago
Read 2 more answers
in june , a camp has 325 campers and 26 counselors, in july,265 campers leave and 215 new campersarrive.How many counselors does
Lostsunrise [7]

Answer:

  • <u>22 counselors</u>

<u></u>

Explanation:

<u>1. Ratio of campers to counselors in june:</u>

  • number of campers: 325

  • number of counselors: 26

  • Ratio = number of campers / number of counselors

  • Ratio = 325 campers / 26 counselors

<u />

<u>2. Ratio of campers to counselors in july:</u>

  • number of campers = 325 - 265 + 215 = 275

  • number of counselors = x (unknown)

  • Ratio = 275 campers / x

<u />

<u>3. Equivalent ratios:</u>

  • 325 campers / 26 counselors = 275 campers / x

Solve for x:

  • x = (26counselors/325campers) × 275campers = 22 counselors ← answer

3 0
2 years ago
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