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Grace [21]
3 years ago
10

a bottle of hand lotion is on sale for 2.25. If this price represents a 50% discount from the original price, what is the origin

al price to the nearest cent
Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
The original price is $4.50 because when you multiply it by 50% you get $2.25
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What is the volume of a hemisphere having radius of great<br>circle be r unit?​
lora16 [44]

Answer:

Hemisphere Formulas in terms of radius r:

Volume of a hemisphere: V = (2/3)πr.

Step-by-step explanation:

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%20%5Csf%20%5Chuge%7B%20question%20%5Chookleftarrow%7D" id="TexFormula1" title=" \sf \huge
BabaBlast [244]

\underline{\bf{Given \:equation:-}}

\\ \sf{:}\dashrightarrow ax^2+by+c=0

\sf Let\:roots\;of\:the\: equation\:be\:\alpha\:and\beta.

\sf We\:know,

\boxed{\sf sum\:of\:roots=\alpha+\beta=\dfrac{-b}{a}}

\boxed{\sf Product\:of\:roots=\alpha\beta=\dfrac{c}{a}}

\underline{\large{\bf Identities\:used:-}}

\boxed{\sf (a+b)^2=a^2+2ab+b^2}

\boxed{\sf (√a)^2=a}

\boxed{\sf \sqrt{a}\sqrt{b}=\sqrt{ab}}

\boxed{\sf \sqrt{\sqrt{a}}=a}

\underline{\bf Final\: Solution:-}

\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}

\bull\sf Apply\: Squares

\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2= (\sqrt{\alpha})^2+2\sqrt{\alpha}\sqrt{\beta}+(\sqrt{\beta})^2

\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2 \alpha+\beta+2\sqrt{\alpha\beta}

\bull\sf Put\:values

\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2=\dfrac{-b}{a}+2\sqrt{\dfrac{c}{a}}

\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\sqrt{\dfrac{-b}{a}+2\sqrt{\dfrac{c}{a}}}

\bull\sf Simplify

\\ \sf{:}\dashrightarrow \underline{\boxed{\bf {\sqrt{\boldsymbol{\alpha}}+\sqrt{\boldsymbol{\beta}}=\sqrt{\dfrac{-b}{a}}+\sqrt{2}\dfrac{c}{a}}}}

\underline{\bf More\: simplification:-}

\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\dfrac{\sqrt{-b}}{\sqrt{a}}+\dfrac{c\sqrt{2}}{a}

\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\dfrac{\sqrt{a}\sqrt{-b}+c\sqrt{2}}{a}

\underline{\Large{\bf Simplified\: Answer:-}}

\\ \sf{:}\dashrightarrow\underline{\boxed{\bf{ \sqrt{\boldsymbol{\alpha}}+\sqrt{\boldsymbol{\beta}}=\dfrac{\sqrt{-ab}+c\sqrt{2}}{a}}}}

5 0
2 years ago
Read 2 more answers
Melanie has a $60 so far to buy a lawn mower. This is 20% of the price of the lawn mower. What is the full price of the lawn mow
andreev551 [17]
--Percent means out of 100, so 20% = 20/100

The prob in other words is asking
  --  $60 is 20% of what number?

'$60'   --          --->  60
'is'       --          --->  =
20%    --         ---> 20/100
'of'     --            ---> * (multiply)
'what number'  ---> x  (variable)
4 0
3 years ago
C = 5(f-32) / 9 in form ac + b / c
Lera25 [3.4K]

Answer: I don't know if you wanted me to solve for C or F. But, I Solved for both.

Step-by-step explanation:

<u>Solved for F </u>

  • f=(9C)/(5)+32

<u>Solved for C</u>

  • C=(5(f-32))/(9)
3 0
3 years ago
1) There are 80 grams of salt in a 32% solution. Find the weight of the solution
alukav5142 [94]

Answer:

Weight of the solution = 250 grams

Step-by-step explanation:

1) Consider the weight of solution as x grams.

32 % solution = 80 grams salt

32% of x = 80

(32/100)*x = 80

Solving for x:

x  = (80*100) / 32

x = 250 grams

7 0
3 years ago
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