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Paul [167]
2 years ago
11

7x-2=5x+14 X=? (step by step needed)

Mathematics
2 answers:
prisoha [69]2 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

  • 7x-2-5x=5x+14-5x
  • 2x-2=14  

Step 2: Add 2 to both sides.

  • 2x-2+2=14+2
  • 2x=16

Step 3: Divide both sides by 2.

  • 2x/2=16/2
  • x=8

Step 4: Check if solution is correct.

  • 7(8)-2=5(8)+14
  • 56-2=40+14
  • 54=54

Therefore, x = 8.

Pie2 years ago
7 0

Answer:

x=8

Step-by-step explanation:

7x-2=5x+14

collect like terms (remember when taking a value across the equality sign name sure the sign of the value changes)

7x-5x=14+2

2x=16

divides both sides by the value of x

x=16/2

x=8

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3 0
2 years ago
3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall
Katen [24]

Answer:

The volume of the toy is V=5.23\ ft^3

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

V=\frac{2}{3}\pi r^{3}

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

D=2\ ft

r=2/2=1\ ft ----> the radius is half the diameter

substitute

V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3

step 2

Find the volume of the cone

The volume of the cone is given by

V=\frac{1}{3}\pi r^{2}h

we know that

The radius of the cone is the same that the radius of the hemisphere

so

r=1\ ft

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

h=4-1=3\ ft

substitute the given values

V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

V=(\frac{2}{3} \pi+\pi)\ ft^3

V=(\frac{5}{3}\pi)\ ft^3

assume

\pi=3.14

V=\frac{5}{3}(3.14)=5.23\ ft^3

5 0
3 years ago
Carol is solving the inequality 3 have?<br> There are infinitely many solutions.<br> There are only two solutions.<br> There is
schepotkina [342]

Answer:

There are infinitely many solutions

Step-by-step explanation:

Firstly, I need to change f to x as the system won’t accept the word f

Let’s take a look at the question;

3 is less than x

The domain of our answer lies in the the range of values where we have numbers that are greater than 3

This means we can rewrite our inequality as x is greater than 3

Now, simply because we have an infinite amount of numbers which are greater than 3 of which x can take any of the values, we can conclude that the number of values we have for x are infinite and does not end

This makes us have infinitely many solutions for the value of x

6 0
3 years ago
The owner of a new restaurant wants to have seating for more than 75 people. There is currently a
Irina18 [472]

Answer:

C. 4m + 3 > 75

Step-by-step explanation:

There is only one private chef's table so this remains constant at 3. There are m number of tables that will seat 4 people so 4 is multiplied by m.

8 0
3 years ago
Read 2 more answers
Solve the equation : 8+10^x=1008
Marizza181 [45]
Hi there.

I'm just going to put the answer for now. I might come back and edit my answer if I figure out how to solve this the long way.

All I did was figure out what exponent you raise 10 to. 

10³ = 1000

So, we now have 8 + 10³ = 1008

Edit:

I did it on paper - here it is broken down.

8 + 10^{x} = 1008

Subtract 8 from both sides.

10^{x} = 1000

We know that 10³ = 1000

<em>x</em> = 3

~
7 0
3 years ago
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