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2 years ago

Rewrite 1/4 / 1/3 as a unit rate

Mathematics

1 answer:

Arada [10]2 years ago

5 0

Answer:

0.25 and 0.33?

Step-by-step explanation:

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12x+5=4x? Show steps, please.

gavmur [86]

Answer:

x = 5/-8

Step-by-step explanation:

4x = 12x + 5

4x - 12x = 5

-8x = 5

x = 5/-8

6 0

2 years ago

What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti

Marat540 [252]

Answer:

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

Step-by-step explanation:

Given

$x^2 - 5x - 7 = 0$

Required

Solve for x using:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

First, we need to identify a, b and c

The general form of a quadratic equation is:

$ax^2 + bx + c = 0$

So, by comparison with $x^2 - 5x - 7 = 0$

$a = 1$ $b = -5$ $c = -7$

Substitute these values of a, b and c in

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}$

$x = \frac{5 \± \sqrt{25 +28}}{2}$

$x = \frac{5 \± \sqrt{53}}{2}$

Split the expression to two

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

To solve further in decimal form, we have

$x = \frac{5 + 7.28}{2}$ or $x = \frac{5 - 7.28}{2}$

$x = \frac{12.28}{2}$ or $x = \frac{-2.28}{2}$

$x = 6.14$ or $x = -1.14$

4 0

2 years ago

The average of four different positive integers is 9. What is the greatest value for one of the integers?

saul85 [17]

From the given information; Let the unknown different positive integers be (a, b, c and d).

An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.

Suppose we make an assumption that (a) should be the greatest value of this integer.

Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.

Therefore, the average of this integers = 9

Mathematically;

$\mathbf{\dfrac{(a+b+c+d)}{4} =9}$

$\mathbf{\dfrac{(a+1+2+3)}{4} =9}$

$\mathbf{\dfrac{(6+a)}{4} =9}$

By cross multiplying;

6+a = 9 × 4

6+a = 36

a = 36 - 6

a = 30

Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.

Learn more about integers here:

brainly.com/question/15276410?referrer=searchResults

8 0

2 years ago

Read 2 more answers

1/4 of women have a disability. If there are 56 women in a

slavikrds [6]

Answer:

Step-by-step explanation:

Because 1/4 of women have a disability, you would expect 1/4 * 56 = 14 women to have a disability out of 56 women.

6 0

2 years ago

Read 2 more answers

Write an inequality to represent all combinations of numbers whose sum is greater than 10.

Vlada [557]

Answer:

x>10

Step-by-step explanation:

What this is saying is the variable "x" is any number.

To then make it an inequality im using the greater than symbol (not to be confused with greater than or equal to symbol)

So this means if x= "any number" and has a greater than symbol.

"any number" is greater than 10.

4 0

2 years ago