All categories

3 years ago

If 3 is added to a certain number, the results is 15 less than three times the number. Find the number

Mathematics

1 answer:

Harman [31]3 years ago

8 0

Answer:

number = 9

Step-by-step explanation:

number = x

3 is added to a number = (x+3) result

3 times the number = 3x

15 less than three times the number = 3x-15

the results is 15 less than three times the number

x+3 = 3x -15

3x-x= 3+15

2x = 18

x=9

You might be interested in

Does anyone know the answer to this? will give brainliest

Alla [95]

Answer: a

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

How do you solve the equation y-3=-¼(x+3)

likoan [24]

Because you have two variables and only one equation, you can only solve for approximate answers, and not complete, absolute answers.

<h3><u>You can simplify this equation to x = -4y + 12</u></h3>

y - 3 = -1/4(x + 3)

Distributive property.

y - 3 = -1/4x - 3/4

Multiply all terms by 4.

4y - 12 = -x

Multiply all terms by -1

-4y + 12 = x

8 0

2 years ago

A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an an

Svetllana [295]

Answer:

3 feet

Step-by-step explanation:

A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground.

ladder is 12 foot

The ladder makes an angle of 60 degrees with the ground.

It form a right angle triangle . ladder is the hypotenuse

$cos(60)=\frac{x}{12}$

$0.5= \frac{x}{12}$

multiply 12 on both sides

x= 6

the distance from the base of the ladder to the bottom of the fence

x-3 = 6-3=3 feet

7 0

3 years ago

A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence paral

denis23 [38]

Answer:

F = 3x +(2.7×10^7)/x

Step-by-step explanation:

The formulas for area and perimeter of a rectangle can be used to find the desired function.

The area of the rectangle will be the product of its dimensions:

A = LW

Using the given values, we have ...

13.5×10^6 = xy

Solving for y gives ...

y = (13.5×10^6)/x

<h3>Perimeter</h3>

The perimeter of the rectangle is the sum of the side lengths:

P = 2(L+W) = 2(x+y)

<h3>Fence length</h3>

The total amount of fence required is the perimeter plus one more section that is x feet long.

F = 2(x +y) +x = 3x +2y

Substituting for y, we have a function of x:

F = 3x +(2.7×10^7)/x

<em>Additional comment</em>

The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.

4 0

1 year ago

An oblique triangular pyramid has a base area

lubasha [3.4K]

The height of the oblique triangular pyramid is 18 units if the base area of 21 square units and a volume of 126 cubic units.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of an oblique triangular pyramid is given by:

$\rm V = \dfrac{1}{3}b\times h$

Where b is the area of the base and h is the height of the pyramid.

We have b = 21 square units and V = 126 cubic units.

$\rm 126 = \dfrac{1}{3}\times21\times h$

h = 18 units

Thus, the height of the oblique triangular pyramid is 18 units if the base area of 21 square units and a volume of 126 cubic units.

Learn more about the volume here:

brainly.com/question/16788902

#SPJ1

5 0

2 years ago