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2 years ago

What is the solution to 6x=30

Mathematics

2 answers:

Tasya [4]2 years ago

8 0

Answer:

$\boxed{x=5}$

Step-by-step explanation:

Division property of equality- is dividing both sides of an equation by the same non-zero number it does not change the equation.

First you had to divide by six from both sides of an equation form.

$\frac{6x}{6}= \frac{30}{6}$

$30/6=5$

$30/5=6$

$5*6=30$

$6*5=30$

$x=5$

$5=x$

Final answer: $\boxed{x=5}$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

Ugo [173]2 years ago

6 0

5

Plugging in 5 for x, we have:

6(5) = 30

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Could someone help me answer this? <br> Solve -2log8(x + 1) = -8.<br> Thanks so much!

drek231 [11]

Step one, divide both sides by -2
log8(x+1)=4

if the base is 10, and the 8 is together with (x+1): (cannot tell from the way it is written)
8(x+1)=10^4=10000
x+1=1250
x=1249

if the 8 is a base,
8^4=(x+1)
x+1=4096
x=4095

8 0

3 years ago

Suzanne is making a circular table out of a square piece of wood. The radius of the circle that she is cutting is 3 feet. How

Viefleur [7K]

Answer:

The waste Suzanne is going to have is around 7.726.

8 if looking for nearest square foot.

Step-by-step explanation:

Area for a square - x*x (length times length)

Area for a circle - r^2*pi

Find the area of the circle first, which plug in r as 3.

3^2*pi

9pi

≈28.27433

Notice for a circle inside a square, the length of the square is the diameter of the circle.

By knowing 2r=diameter, we know the length of the square is 6

substitute x as 6.

6*6=36

Find the waste= Area of square - Area of circle

36-28.27433

≈7.726

The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.

8 0

2 years ago

The angle of depression from the top of a building to a point

AleksandrR [38]

The distance between point on the ground from the top of the building is 396 meter, if the building is 280 m high and The angle of depression from the top of a building to a point on the ground is 45 degrees.

Step-by-step explanation:

The given is,

The angle of depression from the top of a building to a point on the ground is 45 degrees.

Height of the building is 280 meter.

Step: 1

Given diagram is a right angled diagram,

For right angle triangle,

90° = 45° + 45°

= 90°

Trignometric ratio,

sin ∅ = $\frac{Opp}{Hyp}$ ....................(1)

For the above ratio take the bottom angle, that is angle of depression from the top of a building to a point on the ground is 45 degrees.

Where, Opp side = 280 meters

Hyp side = x

∅ = 45°

Equation (1) becomes,

sin 45° = $\frac{280}{x}$

0.70710678 = $\frac{280}{x}$

x = $\frac{280}{0.70710678}$

x = 395.979

Distance between point on the ground from the top of the building, x ≅ 396 meter

Trignometric ratio,

cos ∅ = $\frac{Adj}{Hyp}$

Cos 45 = $\frac{Adj}{396}$

Adj = (0.70710678)(396)

Bottom length, Adj = 280 meter

Result:

The distance between point on the ground from the top of the building is 396 meter.

8 0

3 years ago

10. If 9! is 362880, find 10!.

allochka39001 [22]

Answer:

3628800

Step-by-step explanation:

10! = 10 × 9! = 10 × 362880

= 3628800

_____

A number is multiplied by 10 by shifting the decimal point one place to the right. Here, that means appending a place-holder zero to the number.

4 0

2 years ago

You volunteer to help drive people home from an event. There are 18 people who need rides, but you can only fit 7 of them in you

PilotLPTM [1.2K]

18 choose 7
=C(18,7)
=18!/(7!(18-7)!)
=31824
OR
18 choices for first passenger,
17 choices for second passenger,
....
12 choices for 7th passenger,
so total = 18*17*16...12
but there are 7! ways to order the 7 passengers, so
number of groups
=18*17*16...12/7!
=31824 as well

5 0

3 years ago