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2 years ago

Nine times the quantity one-fourh plus a number is six less than the number divided by three

1 answer:

7 0

Let the number be x.
9(1/4)+x=x/3+6
Simplify.
2.25+x=x/3+6
-6 -6
-3.75+x=x/3
•3 •3
-11.25+3x=x
-3x -3x
-11.26=-2x
5.625=x
please make me brainliest ;)

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Marci needs to rent a storage unit. She needs to determine the volume of the storage unit to decide if the storage unit is big e

stealth61 [152]

Answer:

$Volume = 176ft^3$

Step-by-step explanation:

Given

$Height = 8$

See attachment for base dimension

Required

Determine the volume of the storage unit

From the attachment, we can split the base dimension into two rectangles.

CDEF and ABCG

And the dimensions are:

CDEF

$EF = CD = BD - BC = 5 - 2 = 3$

$ED = FC = FG +AB = 4 + 2 =6$

So, the area of CDEF is:

$Area = EF * ED$

$Area = 3 * 6$

$Area = 18$

ABCG

$AB= GC = 2$

$AG = BC = 2$

$Area = AB * AG$

$Area = 2 * 2$

$Area = 4$

So, the base area is:

$Base\ Area = 18 + 4$

$Base\ Area = 22$

The volume is then calculated as:

$Volume = Base\ Area * Height$

$Volume = 22 * 8$

$Volume = 176$

7 0

2 years ago

If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n

natali 33 [55]

Answer:

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

Step-by-step explanation:

$f(t) = 100 \cdot 2^\frac{t}{3}$

To find inverse of a function , replace f(t) with y

$y= 100 \cdot 2^\frac{t}{3}$

replace t with y and y with x

$x= 100 \cdot 2^\frac{y}{3}$

solve for y

divide both sides by 100

$\frac{x}{100} =2^\frac{y}{3}$

take ln on both sides

$ln \frac{x}{100} =\frac{y}{3}ln 2$

divide both sides by ln

$ln_2(\frac{x}{100}) =\frac{y}{3}$

multiply by 3 on both sides

$y=3ln_2(\frac{x}{100})$

Replace x with t and y with f^-1

$f^{-1}=3ln_2(\frac{t}{100})$

f^-1 represents the number of hours the bacteria developed

7 0

2 years ago

What is the answer to this question

vlada-n [284]

Answer:

Step-by-step explanation:

If you calculate the side of a square using pythagorean theorem, you would get a side length of sqrt37. Simple multiply this by 4

8 0

3 years ago

Read 2 more answers

During a snowstorm, 4 -1/2 inches of snow fell in 1 -1/3 hours. The same amount of snow fell each hour.

Marina CMI [18]

4 1/2 inches of snow

3 0

2 years ago

A rectangle hale card has a length of 3/10 and a width of 4/5 find the perimeter

postnew [5]

Answer:

22/10 or 2 and 1/5

Step-by-step explanation:

To find the perimeter, add all sides together. Since it's a rectangle, the other sides are the same measurement as the ones given. Add 3/10, 3/10, 4/5, and 4/5 together. To do this, find a common denominator. The lowest common denominator is 10 so multiply the 4/5 by 2/2 to get the denominator to be 10. Now, add 3/10, 3/10, 8/10, and 8/10. It adds up to 22/10 but if you don't want an improper fraction, simplify it to 2 and 1/5.

4 0

3 years ago