Ask question

Ask question

All categories

denis-greek [22]

2 years ago

7

When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f,

with the constant of variation being 12.What is the equation relating these two quantities?

1 answer:

djyliett [7]2 years ago

5 0

12f=m
It can also be m/12=f, but since it is asking for inches to feet the first one is better

You might be interested in

Robert was able to travel 292.0 miles in 4.000 hours and used 38 liters of gasoline. What was robert's speed in feet per second?

torisob [31]

Distance traveled by Robert = 292 miles

Time taken by Robert to cover this distance = 4 hours.

Now converting miles in feet.

1 mile = 5280 feet

so, 292 feet = 292 * 5280 = 1541760 feet

Now converting 4 hours in seconds.

1 hour = 3600 seconds

so, 4 hours have 3600 * 4 = 14400 seconds.

Now the question says, we have to find the speed in feet per second

$speed = \frac{distance}{time}$

equals,

$\frac{1541760}{14400}$

= 107.067 feet per second

8 0

2 years ago

Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?

Lina20 [59]

-3(y+2)^2-5+6y
-3(y^2+4y+4)-5+6y
-3y^2-12y-12-5+6y
-3y^2-6y-17

8 0

2 years ago

Eli, Freda and Geoff were given £800 to share in the ratio of their ages.

algol13

First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of <span>Geoff:
</span> $9+13+18=40$
The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.

Next, we are going to multiply the ratio between the age of the person and their combined age by <span>£800:
For Eli: </span> $\frac{9}{40} *800=180$
For Freda: $\frac{13}{40} *800=260$
For Geoff: $\frac{18}{40} *800=360$
<span>
We can conclude that Eli will get </span>£180, Freda will get £260, and Geoff will get <span>£360.</span>

4 0

2 years ago

Find the dimensions of a rectangle with area 512 m2 whose perimeter is as small as possible. (If both values are the same number

Masja [62]

Answer:

<h2>√512 by √512 </h2>

Step-by-step explanation:

Length the length and breadth of the rectangle be x and y.

Area of the rectangle A = Length * breadth

Perimeter P = 2(Length + Breadth)

A = xy and P = 2(x+y)

If the area of the rectangle is 512m², then 512 = xy

x = 512/y

Substituting x = 512/y into the formula for calculating the perimeter;

P = 2(512/y + y)

P = 1024/y + 2y

To get the value of y, we will set dP/dy to zero and solve.

dP/dy = -1024y⁻² + 2

-1024y⁻² + 2 = 0

-1024y⁻² = -2

512y⁻² = 1

y⁻² = 1/512

1/y² = 1/512

y² = 512

y = √512 m

On testing for minimum, we must know that the perimeter is at the minimum when y = √512

From xy = 512

x(√512) = 512

x = 512/√512

On rationalizing, x = 512/√512 * √512 /√512

x = 512√512 /512

x = √512 m

Hence, the dimensions of a rectangle is √512 m by √512 m

5 0

2 years ago

Yesterday's World Cup final had viewing figures of 138,695,157.<br><br> What is the value of the 3?

crimeas [40]

Answer:

The value of the 3 is 30,000,000.

Step-by-step explanation:

From the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:

Our counter is i

i = 0;

v(7) is the value of the 7

$v(7) = 7*10^{0} = 7$

i = 1;

v(5) is the value of the 5

$v(5) = 5*10^{1} = 50$

i = 2;

v(1) is the value of the 1

$v(1) = 1*10^{2} = 100$

i = 3;

v(5) is the value of the 5

$v(5) = 5*10^{3} = 5,000$

i = 4;

v(9) is the value of the 9

$v(9) = 9*10^{4} = 90,000$

i = 5;

v(6) is the value of the 6

$v(6) = 6*10^{5} = 600,000$

i = 6;

v(8) is the value of the 8

$v(8) = 8*10^{6} = 8,000,000$

i = 7;

v(3) is the value of the 3

$v(3) = 3*10^{7} = 30,000,000$

The value of the 3 is 30,000,000.

8 0

2 years ago