All categories

3 years ago

Penny solved an equation by subtracting 6 from each side of the equation and then dividing each side by 5.

Mathematics

1 answer:

VikaD [51]3 years ago

3 0

Answer:

Step-by-step explanation:

In order to solve for x, she had to first subtract 6 on both sides of the equation. Then divide by 5 on both sides of he equation. After the division part, she was able to successfully isolate x.

The equation she had to solve was (C) 5x+6=21

First step: Subtracting 6 on both sides of equation resulted in

5x = 15

Second step: Dividing both sides of the equation by 5 resulted in

x = 3

You might be interested in

elixir [45]

The area of the track will be 78501 m². The area of the track is equal to the area of the circle.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square meters and other similar units are used to measure area.

The area of the track is found as;

$\rm A=\frac{\pi}{4} d^2 \\\\ \rm A=\frac{3.14}{4} (100)^2 \\\\ A=7850 \ m^2$

Hence, the area of the track will be 78501 m².

To learn more about the area, refer to the link;

brainly.com/question/11952845

#SPJ1

8 0

2 years ago

Plz answer asap!!!!!!!!!!!!!!!!!!!!!!

user100 [1]

Answer:

It can be represented by the expression 2r, or “two times the radius.” So if you know a circle's radius, you can multiply it by 2 to find the diameter; this also means that if you know a circle's diameter, you can divide by 2 to find the radius. Find the diameter of the circle.

Step-by-step explanation:

you'r welcome :)

6 0

2 years ago

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet. If the pool is fill

laila [671]

The volume of a cylinder is

   (pi) (radius²) (height) .

Radius = 1/2 diameter.
Radius of this pool = (1/2) (18 ft) = 9 ft

The pool is a cylinder with height of 4.5 feet.
The water in it is also a cylinder, but only 4 ft high.

Volume of the water =

   (pi) x (radius²) x (height)

   = (pi) x (9 ft)² x (4 ft)

   = (pi) x (81 ft²) x (4 ft)

   = (pi) x (324 ft³) = 1,017.9 ft³ .

7 0

2 years ago

Read 2 more answers

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .