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3 years ago

How many 5/6 in 10? Use models

1 answer:

4 0

10÷5/6
When dividing a number by a fraction, it is the same as multiplying by its reciprocal (the fraction flipped over)
so..
10÷5/6= 10×6/5= 60÷5= 12

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Please help!!! thank you

fiasKO [112]

Answer:

Step-by-step explanation:

140 divided by 5 is 28

224 divided by 8 is 28

480 divided by 15 is 28

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3 years ago

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At a local health club, a researcher samples 75 people whose primary exercise is cardiovascular and 75 people whose primary exer

ivolga24 [154]

Answer:

Step-by-step explanation:

Basically, this is an observational study because the researcher does not apply any treatment.

It's not an experiment because there is no experimentation involved. :)

It's not double-blind because in that case the researcher would have to apply something to two kinds of groups. one aware one the other not. not the case.

It's not D because The observations are comparing two kinds of subjects and they are not looking for a cause and effect.

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3 years ago

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Log(x-2)+log2=2logy<br>log(x-3y+3)=0

In-s [12.5K]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right$

$===========================\\\text{DOMAIN:}\\\\x-2>0\to x>2\\y>0\\x-3y+3>0\to x-3y>-3\\=====================\\\\\text{We know:}\ \log_ab=c\iff a^c=b,\\\\\text{therefore}\ \log_ab=0\iff a^0=b\to b=1\\\\\text{From this we have}\\\\\log(x-3y+3)=0\iff x-3y+3=1\qquad\text{add}\ 3y\ \text{to both sides}\\\\x+3=3y+1\qquad\text{subtract 3 from both isdes}\\\\\boxed{x=3y-2}\qquad(*)\\\\\text{Substitute it to (1)}$

$\log(3y-2-2)+\log2=2\log(y)\qquad\text{use}\ \log_ab^n=n\log_ab\\\\\log(3y-4)+\log2=\log(y^2)\qquad\text{subtract}\ \log(y^2)\ \text{from both sides}\\\\\log(3y-4)+\log2-\log(y^2)=0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log\dfrac{(3y-4)(2)}{y^2}=0\qquad\text{use}\ \log_ab=0\Rightarrow b=1\\\\\dfrac{(3y-4)(2)}{y^2}=1\iff y^2=(3y-4)(2)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac$

$y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D$

$\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D$

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3 years ago

The part (aka "is") = 8 and the percent is 42, what is the whole (aka

marysya [2.9K]

Answer:

Step-by-step explanation:

If you simplify what the question is saying, it's basically..

8 is 24% of <u>what number?</u>

To find out, you can simply set up an equation.

((24% = 0.24 as a decimal (move the decimal point two times to the left))

8 = 0.24 x N (N is just the 'whole')

To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.

The question says to round to the nearest whole number, so the answer would just be 33.

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2 years ago

(50 points) need help with khan practice geometry

Vedmedyk [2.9K]

The awnser is 60 because

It is a cube so it has the smae amout of sides

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2 years ago