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Scrat [10]
3 years ago
12

Ben, Mingli and Samy shared $180. Ben received $45, Mingli received $63 and Samy received the rest. What percentage of the money

did
Samy receive?
Mathematics
1 answer:
CaHeK987 [17]3 years ago
7 0
Samy received $72 and 72/180 is 40% i believe
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Factor the expression. 4d + 12 Enter your answers in the boxes.
Dmitry_Shevchenko [17]
4d + 12 = 4(d + 3)
Basically, you just need to determine what 4d and 12 have in common.  In this case, they both divide evenly by 4. Therefore 4 (d + 3) = 4d + 12 according to the distributive property. 
5 0
3 years ago
Read 2 more answers
Jasmine buys the magic carpet on sale for $374. She saved $66 off the regular price. What percent was the price discounted?
Furkat [3]

Answer:

15%

Step-by-step explanation:

Let c represent the regular price of the carpet.

Then:  

sale price = regular price less discount

    $374    =           c     -     $66

Adding $66 to both sides isolates (solves for) c:

$374 + $66 = c  =   $440.  This is the regular price.

 $66

---------- = 0.15                      This is the fraction of the regular price by

$440                                   which the regular price is reduced.

Then the percentage of this discount was   0.15(100%) = 15%

8 0
3 years ago
P(x)= 3x^3-5x^2-14x-4
nexus9112 [7]
   
\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\


\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)


\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm  \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm  \sqrt{4+16}}{2}=\frac{2\pm  \sqrt{20}}{2}=\frac{2\pm  2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}



7 0
3 years ago
Which of the following properly describe “slope”? Select all that apply
yan [13]

Slope is rise over run or change in y over change in x.

First, fourth and fifth choice

5 0
4 years ago
John wants to buy a new laptop computer the computer store sells laptops for $480 or 9 credit payments of $58 how much interest
Neko [114]
First you would need to find out how many 9 payments of 58$ would be and that is 522. Then you would need to subtract the 522 and the 480 and your answer would be 42$ so the interest would be 42$
5 0
4 years ago
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