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4 years ago

Which fraction is equivalent to 7/21

Mathematics

2 answers:

tekilochka [14]4 years ago

8 0

Answer:

1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 8/24, etc

Step-by-step explanation:

Rus_ich [418]4 years ago

7 0

There are several answers

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What is the surface area of the square pyramid?

Liula [17]

Answer:

Step-by-step explanation:

$2^2+4(\frac{1}{2}\cdot 2\cdot 3)=4+12=16$ square units. Hope this helps!

3 0

3 years ago

PLS HELP ILL GIVE BRAINLIEST

inysia [295]

<h3>Answer: 14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

a = 12
b = -11
c = -5

This leads to...

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}$

Now use those roots to form these steps

$x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0$

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

L = length = 4x-5
W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0

2 years ago

Steven wants to increase the number of books he reads per year. He currently reads 2 books a year. He wants to triple the number

Sladkaya [172]

Answer:

$B=2\times 3^n$

Step-by-step explanation:

<u>Exponential Growing </u>

Steven currently reads 2 books a year. He wants to triple the number of books read per year. The first year he should read

$2*3 = 6\ books$

By the second year, he should read

$2*3^2 = 18\ books$

By the third year, he should read

$2*3^3 = 54\ books$

We can clearly see there is a geometric progression of the number of books he should read for the year n. The general formula is, being B the number of books read at the year n

$\boxed{B=2\times 3^n}$

8 0

3 years ago

What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoi

professor190 [17]

Uhhhh I don't think that the correct answer.
First, find the gradient of the line segment.
Gradient = Rise/Run = (2-6)/(2-5) = 4/3.
Since the other line segment is parallel to this line segment, their gradients are the same.
That means (-2+4)/(x-5) = 4/3.
2/(x-5) = 4/3
It is obvious x = 6.5

7 0

3 years ago

The graph of a linear function is shown.

lawyer [7]

Answer:

Step-by-step explanation:

y=1/5+0 is the answer to your problem I very much believe

4 0

3 years ago