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2 years ago

Find values that make the sentence correct 1). 6/8=x/12=x/16

Mathematics

2 answers:

kow [346]2 years ago

8 0

There is no values of X that will make the expression correct

MissTica2 years ago

3 0

Answer:

x = 9 and 12

Step-by-step explanation:

6/8 = x/12 = x/16

Simplify

3/4 = x/12 = x/16

Multiply 3/4 by 3/3 (does nothing but changes the number)

9/12 = x/12

x = 9

Multiply 3/4 by 4/4 ( also does nothing)

12/16 = x/16

x = 12

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How to solve this question

VMariaS [17]

<span>The variance method is as follows.

-Sum the squares of the values in data set, and then divide by the number of values in data set
- From that, subtract the square of the mean (add all values and divide by number of values in the data set)

Our variance is

<span> $\displaystyle\sigma^2 = \frac{2^2 + 5^2 + m^2}{3} - \left(\frac{2 + 5 + m}{3}\right)^2$

Since variance has to be 14, we set $\sigma^2 = 14$ and solve for m

$14= \frac{4 + 25 + m^2}{3} - \left(\frac{7 + m}{3}\right)^2\ \Rightarrow \\ \\
14 = \frac{29}{3} + \frac{1}{3}m^2 - \frac{1}{9}(7+m)^2 \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{1}{9}(49 + 14m + m^2) \\ \\
14 = \frac{29}{3}+ \frac{1}{3}m^2 - \frac{49}{9}- \frac{14}{9}m- \frac{1}{9}m^2 \\ \\
0 = \frac{-88}{9} -\frac{14}{9}m + \frac{2}{9}m^2
$

quadratic formula

$m = \displaystyle\frac{-b \pm \sqrt{b^2 -4ac}}{2a} \\
m = \frac{-(-\frac{14}{9}) \pm \sqrt{\left(-\frac{14}{9}\right)^2 - 4(2/9)(-88/9)} }{2(2/9)} \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{196}{81} + \frac{704}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{900}{81} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \sqrt{ \frac{100}{9} } }{\frac{4}{9} } \\
m = \frac{\frac{14}{9} \pm \frac{10}{3} }{\frac{4}{9} } \\
m = 11, -4$

-4 doesnt' work as it is not a positive integer

m = 11

</span></span>

5 0

2 years ago

PRE CALCULUS

Mumz [18]

Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x) is translated five units up

So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.

3 0

2 years ago

Part 2. Laws of sines. Please show work. Round answer to the nearest tenth.

Bingel [31]

Answer:

5) 30.0m

6) 34.0mi

7) 11.0ft

8) 17.0 km

(all rounded off to the nearest tenth)

Step-by-step explanation:

Please see attached pictures for the full solution.

6 0

2 years ago

tina needs batteries. aa batteries cost $3 per pack. d batteries cost $4 per pacl. if she has $26 to spend and buys 3 times as m

konstantin123 [22]

Tina should buy 6 packs of aa batteries and 2 packs of d batteries. the cost of each is given as.
6 packs of aa batteries = 6x3 = $18
2 packs of d batteries = 2x4 = $8
total cost = 18 +8 = $26
and aa batteries pack are 3 times greater than d batteries.

3 0

2 years ago

Which inequality models this problem?

IgorC [24]

The correct answer would be

D) 25s>2500+4.5s

Hope this helps and have a great day!

because $2500 spent + $4.50 supplies on each T shirt

so selling each shirt $25, if you want to make profit...total selling t shirt has to be greater than the total spent

4 0

3 years ago