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amm1812
3 years ago
11

What is the value of x?

Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0
Let the 2 equal lengths be represented by 2p.  Then you can write the equation of ratios

  p       2p
---- = -------
16      x+4

which simplifies to 

  1        2
----- = ------
 16      x+4

then x+4 = 32, and x = 28 (answer)
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What is the product?( square root 3x+ square root 5) (square root 15x+ 2 square root 30)
hichkok12 [17]
(\sqrt{3x}+\sqrt5)\cdot(\sqrt{15x}+2\sqrt{30})\\\\=(\sqrt{3x})(\sqrt{15x})+(\sqrt{3x})(2\sqrt{30})+(\sqrt5)(\sqrt{15x})+(\sqrt5)(2\sqrt{30})\\\\=\sqrt{(3x)(15x)}+2\sqrt{(3x)(30)}+\sqrt{(5)(15x)}+2\sqrt{(5)(30)}\\\\=\sqrt{45x^2}+2\sqrt{90x}+\sqrt{75x}+2\sqrt{150}\\\\=\sqrt{9x^2\cdot5}+2\sqrt{9\cdot10x}+\sqrt{25\cdot3x}+2\sqrt{25\cdot6}\\\\=\sqrt{9x^2}\cdot\sqrt5+2\sqrt9\cdot\sqrt{10x}+\sqrt{25}\cdot\sqrt{3x}+2\sqrt{25}\cdot\sqrt6
=3x\sqrt5+2\cdot3\sqrt{10x}+5\sqrt{3x}+2\cdot5\sqrt6\\\\=3x\sqrt5+6\sqrt{10}+5\sqrt{3x}+10\sqrt6
3 0
3 years ago
Read 2 more answers
The airport security randomly selected 35 suitcases from in the security line. Of these bags, they screened 7 suitcases. Based o
iVinArrow [24]

Answer: 140

Step-by-step explanation: 7/35 = 5 so for every 5 people 1 will be checked. 700/5= 140

3 0
3 years ago
Question 1
erastova [34]

Based on the above scenario, the sales director conducted  an <u>experiment</u>.

  • Because a treatment  <u>was </u>applied to the sales representatives.

  • The the best statistical study for this situation because the sales director is trying to establish <u>correlation</u>.

<h3>What is an experiment?</h3>

An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.

In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.

See full question

Part A.

The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.

This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.

Learn more about experiment from

brainly.com/question/17274244

5 0
2 years ago
What would be the equation and how can I solve it
Blababa [14]
If alonzo is x then the equation is

x + (x +3) + 2(x + 3) = 57

Which equals

x + x + 3 + 2x + 6 = 57
4x + 9 = 57
4x = 48
x = 12

This means alonzo is 12 years old and alexis is 3 years older so alexis is 15 years old

Answer = 15 years old
5 0
3 years ago
Read 2 more answers
A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent
Yuri [45]

the yearly increase of x% assumes is compounding yearly, so let's use that.

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}

95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r

4 0
2 years ago
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