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MatroZZZ [7]
3 years ago
11

A wholesale dealer offers 8 lamps for a price of p dollars. Which expression represents the price of a single lamp? A. 8p B. p+8

C. 8/p D. p/8
Mathematics
2 answers:
astra-53 [7]3 years ago
8 0

The correct answer is D. p/8 hope this helped. :)


Nostrana [21]3 years ago
5 0
Find the "unit cost."  Divide the total price paid by the number of units sold:

$p
------------ = $(p/8)  / lamp
8 lamps

The unit cost is p/8 dollars per lamp.
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C. (x + 2)(x + 1)

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When you combine equations and both variables are eliminated and the result is a true statement, the system of equations has ___
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Given: BD bisects ABC. Auxiliary EA is drawn such that AE || BD. Auxiliary BE is an extension of BC
AnnZ [28]
The required proof is given in the table below:

\begin{tabular}{|p{4cm}|p{6cm}|} 
 Statement & Reason \\ [1ex] 
1. $\overline{BD}$ bisects $\angle ABC$ & 1. Given \\
2. \angle DBC\cong\angle ABD & 2. De(finition of angle bisector \\ 
3. $\overline{AE}$||$\overline{BD}$ & 3. Given \\ 
4. \angle AEB\cong\angle DBC & 4. Corresponding angles \\
5. \angle AEB\cong\angle ABD & 5. Transitive property of equality \\ 
6. \angle ABD\cong\angle BAE & 6. Alternate angles
\end{tabular}
\begin{tabular}{|p{4cm}|p{6cm}|}
7. \angle AEB\cong\angle BAE & 7. Transitive property of equality \\
8. \overline{EB}\cong\overline{AB} & 8. From 7. $\Delta ABE$ is isosceles \\
9. EB = AB & 9. De(finition of congruence \\ 10. $\frac{AD}{DC}=\frac{EB}{BC}$ & 10. Triangle proportionality theorem \\
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7 0
3 years ago
Read 2 more answers
Divide: (5 + 4i) / (-3 – 2i)
Phantasy [73]

Answer:

<h2>-23/13 - 2/13i</h2>

Step-by-step explanation:

\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\

\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\

8 0
3 years ago
Help fast how can I get to 1 bottle of paint???
Arisa [49]

Answer:

40 red, 48 yellow.

Step-by-step explanation:

So in your orange paint, the ratio of red paint to yellow paint is 2/3 : 4/5, we can simplify that to 2/3 (15) : 4/5 (15) ---> 10 : 12 ---> 5 : 6. So for every 5 parts of red paint, you need 6 parts of yellow paint. One part can be any amount, as long as all parts are equal. So together you need 5+6=11 parts. Lets divide 88 by 11 to get what one part is. 88/11=8, so in this case one part equals to 8 bottles. And remember you need 5 parts of red paint, so 5*8=40 bottles of red paint altogether, and 6 parts of yellow paint, so 6*8=48 bottles of yellow paint altogether to make your 88 bottles of orange pain.

Check: 40 bottles of paint + 48 bottles of paint will give you 88 bottles of paint in the end, so that is correct. 40 : 48 is also equal to 2/3 : 4/5 if you simplify them, so the ratio is also correct.

4 0
3 years ago
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