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3 years ago

6 is 55% of what number? Round answer to nearest tenth (1 number after decimal)

Mathematics

1 answer:

Arada [10]3 years ago

8 0

Answer:

10.9

Step-by-step explanation:

Formula = Number x 100

Percent = 6 x 100

55 = 10.91

Following shows the steps on how to derive this formula

Step 1: If 55% of a number is 6, then what is 100% of that number? Setup the equation.

55% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

55Y = 6 x 100

55Y = 600

Y = 600

100 = 10.91

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- The water level of a lake fell by 13 inches during

bezimeni [28]

Answer:

r = - 13 / 15 inches/week

Step-by-step explanation:

The numerator is 13

and the denominator is 15, then we have

r = - 13 / 15 inches/week

r < 0 since the water level of the lake fell

6 0

3 years ago

Please help thanks so much

Goshia [24]

Answer:

y = (-4/3)*x + 7

Step-by-step explanation:

The point-slope form of the equation of a line is: y = a*x + b

In the above equation, a is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that a = -4/3

=> The equation of this line has a form as following: y = (-4/3)*x + b (1)

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

y = (-4/3)*x + b

=> -5 = (-4/3)*9 + b

=> -5 = -12 + b

=> b = 7

So that the equation in point-slope form of the given line is:

y = (-4/3)*x + 7

6 0

3 years ago

Item 10 A bacterial culture quadruples in size every hour. You begin observing the number of bacteria 3 hours after the culture

Vinvika [58]

Answer:

There will be 200 000 bacteria after 8 hours

Step-by-step explanation:

The crop quadruples every hour.

x represents the number of hours that pass after preparing the crop

y represents the number of bacteria after x hours.

The equation for y in function of x 3 hours after observing the crop is:

$y = 192(4^{x - 3})$

We want to know after how long there will be 200 000 bacteria.

Then we make y = 200 000 and clear x.

$200\ 000 = 192(4^{x - 3})\\\\log(200\ 000) = log(192(4^{x-3}))\\\\log(200\ 000) = log(192) + log(4 ^{x-3})\\\\log(200\ 000) - log(192) = (x-3)log(4)\\\\\frac{log(200\ 000) - log(192)}{log(4)} = (x-3)\\\\x = 3 + \frac{log(200\ 000) - log(192)}{log(4)}\\\\x = 8\ hours$

5 0

2 years ago

Multiple choice plz help!! Thank u!

lord [1]

C your welcome have a nice day

5 0

2 years ago

Read 2 more answers

A sprinter who weighs 706 N runs the first 5.5 m of a race in 1.6 s, starting from rest and accelerating uniformly. What are the

zhenek [66]

Answer:

(a) Speed = 6.875 m/s

(b) Kinetic Energy = 1.70 kJ

Step-by-step explanation:

Given:

d = 5.5 m

t = 1.6 s

W = 706 N

Part (a)

Using the equation of motion with the assumption of zero initial speed:

$d = \frac{1}{2} ({v-0})t$

$5.5= \frac{1}{2} (1.6v)$

The speed of the sprinter then become:

$v = 6.875 m/s$

Part (b)

Convert the weight of the sprinter to mass:

$m = \frac{w}{g}$

$m = \frac{706}{9.8}$

$m = 72 kg$

KE (Kinetic Energy) can then be calculated as:

$KE = \frac{1}{2} mv^{2}$

$KE = \frac{1}{2} (72)(6.875)^{2}$

$KE = 1701.56 J = 1.70 kJ$

Part (c)

The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as

$P = \frac{KE}{t} \\\$

$P = \frac{1701.56}{1.6}$

$P = 1063.48 W = 1.06 kW$

5 0

3 years ago