Evaluate 25-5e + 3g/f when e = 4 f = 3 and g = 10

Answers

Answer 1

Answer: 15.

Make sure to follow the order of operations.

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Divide £56 in a ratio of 4:3

Answers

÷you need to find how many parts there are ; 4 + 3 = 7

you then need to divide the number by the parts ; £56 ÷ 7 = £8

1 part = £8

4:3, 4 parts : 3 parts.

4 x £8 = £32

3 x £8 = £24

4:3 = £32:£24

to check your answer ;

add both parts of your final answer , £32 + £24 = £56

4+3=7
56/7 = 8
4 x 8 is 32
3 x 8 is 24
The answer is £32 and £24.
Hope this helps you!! =')

Solve and verify each of the following of linear eequations

2X+3y=432 and 5x-2y=16

Answers

There are 3 available methods- Substitution , Elimination and Matrix.

To solve this linear equations lets use Matrix's.

$\left[\begin{array}{ccc}2&3&432\n5&-2&16\n\end{array}\right]$

$\left[\begin{array}{ccc}2&3&432\n0&-19/2&-1064\n\end{array}\right]$

$\left[\begin{array}{ccc}2&3&432\n0&1&112\n\end{array}\right]$

$\left[\begin{array}{ccc}2&0&96\n0&1&112\n\end{array}\right]$

$\left[\begin{array}{ccc}1&0&48\n0&1&112\n\end{array}\right]$

$x=48$

$y=112$

2x+3y=432 becomes y=-2/3x+144 and 5x-2y=16 which becomes y=5/2x-8

If y varies directly as x^2 and y=12 when x=2, find y when x=5

Answers

$y=ax^2\n\ny=12\ \ \ and\ \ \ x=2\ \ \ \Rightarrow\ \ \ 12=a\cdot 2^2\ \ \ \Rightarrow\ \ \ a= (4)/(12)= (1)/(3) \n\ny=(1)/(3) x^2\n\nx=5\ \ \ \Rightarrow\ \ \ y=(1)/(3) \cdot5^2=(25)/(3) =8(1)/(3)$

An airplane is traveling at a speed of 200 km/h. Identify the correct conversion factor setup required to compute the speed of the airplane in m/s.

Answers

Answer:

Speed = 55.56 m/s

Step-by-step explanation:

Given:

An airplane is travelling at the speed of 200 km/h.

We need to convert this in meter/second.

1 km = 1000 meters

1 hour = 3600 seconds

Speed = Distance/Time

Speed = (200*1000)/(1*3600)

= 200000/3600 meter/second

Speed = 55.56 m/s

Hope this will helpful.

Thank you.

The formula for the volume of a cylinder is V = πr2h. The volume of a cylinder is three times the volume of a cone with the same radius and height. If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is

Answers

Since both objects are assumed to have the same volume, matching the formulas we'll get:

π $r^(2)$ h = $(1)/(3)$ π $R^(2)$ h

Having both π and h at both sides of the equation, we can ignore them, so:

$r^(2)$ = $(1)/(3)$ $R^(2)$

And clearing R, according to the equation rules, we'll get:

$\sqrt[2]{3 r^(2) }$ = R

Answer:

A on egde

Step-by-step explanation:

Which of the following is the solution to the equation 25^(z - 4) = 125 ? Select one: A. z = 5.5. B. z = 3.5. C. z = -2.5. D. z = -0.5.