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2 years ago

Make x the subject of the formula 6x+a=5(x+t)

Mathematics

2 answers:

Mademuasel [1]2 years ago

5 0

1. Expand
6x + a = 5x + 5t
2. Get x on one side
6x - 5x = 5t - a
3. Simplify
x = 5t - a (I think)

Leni [432]2 years ago

3 0

Answer:

x= 5t - a

Step-by-step explanation:

6x + a = 5(x+t)

If you expand 5(x+t), you will get 5x + 5t

i.e. 6x + a = 5x + 5t

Add the additive inverse of 5x to both sides (The additive inverse of 5x is -5x)

i.e. 6x + a - 5x = 5x + 5t - 5x

x + a = 5t

Then, add the additive inverse of "a" to both sides (The additive inverse of a is -a)

i.e. x + a - a = 5t - a

x = 5t - a

Hope this helps!!!

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Which value represents |7.8|?

nika2105 [10]

Since absolute value is just taking the positive value of whatever you put in the function, it is 7.8 as well. Also, absolute value can be described as the distance from 0 on the number line. 7.8 is 7.8 "units" away from 0, thus meaning it is equal to 7.8.

8 0

2 years ago

if 1000 spherical of radius 1 cm are melted to form a bigger bulb. Then find the radius of bigger bulb

never [62]

Answer:

10 cm

Step-by-step explanation:

Given:

No. of small spherical bulb = 1,000

radius (r) of smaller bulbs = 1 cm

Required:

radius of the bigger bulb

SOLUTION:

The following equation represents the relationship of the volume of the smaller and bigger bulb,

$\frac{V_2}{V_1} = 1,000$

Where,

$V_2$ = volume of bigger bulb

$V_1$ = volume of smaller bulb

1,000 is the number of smaller bulbs melted to form the bigger bulb.

Volume of a sphere is given as, ⁴/3πr³

Therefore:

$V_2$ = ⁴/3*π*r³ = 4πr³/3

$V_1$ = ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3

Plug the above values into the equation below:

$\frac{V_2}{V_1} = 1,000$

$\frac{\frac{4*pie*r^3}{3}}{\frac{4*pie}{3}} = 1,000$

$\frac{4*pie*r^3}{3}*{\frac{3}{4*pie} = 1,000$

$\frac{4*pie*r^3*3}{3*4*pie} = 1,000$

$\frac{12*pie*r^3}{12*pie} = 1,000$

$r^3 = 1,000$ (12pie cancels 12 pie)

$r = 10$ (taking the cube root of each side)

Radius of the bigger bulb = 10 cm

3 0

2 years ago

A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Ei

Tamiku [17]

Answer:

First option is correct.

Step-by-step explanation:

Let amounts of money James may have after he sees Rita be x.

It is given that either James borrowed $12 from his friend Rita or she borrowed $12 from him.

So meeting Rita second time either he will $12 or he will receive $12.

The amounts of money James may have after second meeting with Rita is:

Case 1: If he pays $12.

$x=42.80-12$ .... (1)

Case 1: If he receives $12.

$x=42.80+12$ .... (2)

On combining equation (1) and (2), we get

$x=42.80\pm 12$

Subtract 42.80 from both sides.

$x-42.80=\pm 12$

It can be written as

$|x-42.80|=12$

Therefore first option is correct.

4 0

2 years ago

Read 2 more answers

Given a 10 foot length of tree trunk with a radius of 3 feet, what is the weight of the tree trunk section if it has a density o

Soloha48 [4]

You will use the formula for the mass of a cylinder. Since the trunk forms like a cylinder.

It is Mcylinder = density x pi x radius x height

So the given in our problem is:

Density = 45 lb/ft^3

Radius = 3ft

Height = 10 ft

Plugging that in our equation:

M cylinder = 45 lb/ft^3 * pi * 3ft^2 * 10 ft

= 5771.26 kgs

3 0

2 years ago

50 POINTS In two or more complete sentences, define the key features of the graph below and explain how to write its equation us

dezoksy [38]

Answer:

The graph is a function of absolute value.

This means that for each value of f (x) there are two possible values of x.

The absolute value function is:

f (x) = lxl

y = f (x) - 2 shifts the graph 2 units down.

y = f (x + 3) moves the graph 3 units to the right.

Finally:

The function that best fits this graph is:

f (x) = l-x + 3l-2

Step-by-step explanation:

From the graph it is evident that it is the graph of the absolute value of the function i.e. f(x) = |x| and we know that 'Translation' is a transformation that shifts the graph of a function in any direction.

Now, as we can see that the graph is shifted towards the right of the y-axis at point x=3, this means that it is translated by 3 units to the right of y-axis.

Therefore, the function becomes f(x) = |x-3|.

Furthermore, it is also shifted downwards at the point x= -2, this means that it is translated by 2 units downward from the x-axis.

Hence, the new function is f(x) = |x-3| - 2.

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2 years ago