All categories

3 years ago

Solve for x. x + 7/-3 = 1 A) -10 B) - 22 3 C) - 3 7 Eliminate D) 4

Mathematics

1 answer:

Dimas [21]3 years ago

3 0

Answer:

x = 10/3

x = 3 1/3

(3 whole number, 1/3)

Step-by-step explanation:

To solve for x, we just simplifying the expression.

Be mindful of the signs!

Let's go on now!

x + 7/-3 = 1

Begin by Multiplying all through by -3.

The expression becomes:

(-3 * x) + (7/-3) * -3 = 1 * -3

-3x + 7 = -3

-3x = -3 -7

-3x = -10

Divide both sides by the coefficient of x.

x = -10 / -3

x = 10/3

x = 3 1/3

(3 whole number, 1/3)

Maths is fun !

You might be interested in

Which expression represents the sentence "five times a number, n"?

vodomira [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the

Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0

3 years ago

6% as ratio in simplest form.

Kitty [74]

Answer:

3 : 50

Step-by-step explanation:

6% = 0.06

0.06 = 6/100

6/100 = 3/50

3/50 = 3 : 50

6 0

3 years ago

It takes Vanessa a half hour to walk to the library. She leaves her house at 5:00. What time does she get to the library?

serg [7]

She gets to the library at 5:30. Half an hour is equal to 30 minutes, and if she leaves at 5:00, she will be there in thirty minutes.

4 0

1 year ago

Which is the answer for -1/3y + 4 = 3

N76 [4]

2/1

Step-by-step explanation:

_1/3y=_1

y=_1+3/1

y=2/1

4 0

3 years ago