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3 years ago

If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.

Mathematics

1 answer:

maks197457 [2]3 years ago

5 0

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

$\frac{3.5}{x} = \frac{14}{18}$

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

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Solve the equation x^13-2x^12-x^11+2x^10=0 in the real number system

ASHA 777 [7]

Answer:

x ={0; - 1 ; 2 ; 1}

Step-by-step explanation:

x¹³-2x¹²-x¹¹+2x¹⁰=0

x¹⁰(x³-2x²-x+2)=0

x¹⁰(x+1)(x-2)(x-1)=0

x¹⁰=0 ∨ x+1=0 ∨ x-2=0 ∨ x-1=0

x=0 x= - 1 x= 2 x= 1

3 0

3 years ago

Please reference attached image for the problem that requires solving. Thank you so much for taking the time to help.

Lemur [1.5K]

Explanation:

The number of times the 6-sided number cube will be rolled will is

$750$

Let the numbers greater than 4 be represented below as

$E_1$ $\begin{gathered} E_1=\lbrace5,6\rbrace \\ n(E_1)=2 \end{gathered}$

The number of sample space will be

$n(S)=6$

The probability of rolling a number greater than 4 will be calculated below as

$\begin{gathered} Pr(E_1)=\frac{n(E_1)}{n(S)} \\ Pr(E_1)=\frac{2}{6}=\frac{1}{3} \end{gathered}$

Hence,

To calculate the number of times a number greater than 4 will be rolled will be calculated below as

$\begin{gathered} =Pr(E_1)\times750 \\ =\frac{1}{3}\times750 \\ =250times \end{gathered}$

Hence,

The final answer is

$\Rightarrow250\text{ }times$

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1 year ago

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3 years ago