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yuradex [85]
4 years ago
6

9/16x = 3/4 how do you do it if you’re solving for x

Mathematics
1 answer:
ruslelena [56]4 years ago
7 0

Answer:

x=\frac{3}{4}

Step-by-step explanation:

Whenever we have 2 fractions equal to each other, we first cross multiply, then take variables to one side and numbers to other side and use basic algebra to solve for the variable [here, it is x].

The process is shown below:

\frac{9}{16x}=\frac{3}{4}\\9*4=16x*3\\36=48x\\x=\frac{36}{48}=\frac{3}{4}

So, x = 3/4

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A herd of horses split and went to three areas. One fourth of the herd of horses was seen in the forest. Twice the square root o
melamori03 [73]

Answer:the total number of horses in the herd is 36

Step-by-step explanation:

Let x represent the total number of horses in the herd.

One fourth of the herd of horses was seen in the forest. This means that the number of horses that was seen in the forest would be

1/4 × x = x/4

Twice the square root of the herd had gone to the mountain slopes. This means that the number of horses that had gone to the mountain slopes would be

2 × √x = 2√x

Three times five horses remained on the riverbank. This means that the number that remained would be

3 × 5 = 15

Therefore

x/4 + 2√x + 15 = x

x - x/4 - 15 = 2√x

(4x - x - 60)/4 = 2√x

(3x - 60)/4 = 2√x

Cross multiplying,

3x - 60 = 8√x

Squaring both sides of the equation, it becomes

(3x - 60)(3x - 60) = 64x

9x² - 180x - 180x + 3600 = 64x

9x² - 360x - 64x + 3600 = 0

9x² - 424x + 3600 = 0

Applying the quadratic equation

x = (- b ±√b² - 4ac)/2a

x = ( - - 424 ± √-424² - 4(9 × 3600)/2 × 9

x = (424 ± √179776 - 129600)/18

x = (424 ±√50176)/18

x = (424 + 224)/18 or

x = (424 - 224)/18

x = 36 or x = 11.11

the number of horses must be whole number. Therefore, the number of horses is 36

5 0
3 years ago
what is the probability of rolling 6 five times in a row? Write your answer as a fraction in simplest form.
qaws [65]

Answer:

1/7776.

Step-by-step explanation:

The probability of rolling a six in 1 throw = 1/6.

Rolling   a 6 5 times in a row = (1/6)^5

= 1/7776.

The probability is multiplied because each roll is independent from other rolls.

5 0
3 years ago
Read 2 more answers
Please answer the question from the picture above
gregori [183]
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.

https://www.coolmath4kids.com/math-help/fractions/adding-and-subtracting-fractions-different-denominators

For example:
1/2 + 1/3

We need to find something called the least common denominator (LCD)... It's really just the LCM of our denominators, 2 and 3.

The LCM of 2 and 3 is 6. So, our LCD 6.

We need to make this our new denominator...

Change the 1/2:

1 x 3 over 2 x 3 = 3/6

Change the 1/3:



1/2 + 1/3 = 3/6 + 2/6

Now we can do it!

(3+2)/6 = 5/6
5 0
3 years ago
One number has a prime factorization of 23 · 32, and another number has a prime factorization of 22 · 33. Which of the following
zheka24 [161]
2³ and 3²
2² and 3³

lowest powers of each common factor is gcf

2² · 3²
4 0
3 years ago
Find the sixth term of the
Citrus2011 [14]

Answer:

T_6 =  37.96875

Step-by-step explanation:

Given

a =5

r = \frac{3}{2}

Required

Determine the 6th term

This is calculated as:

T_n = ar^{n-1

Where

n = 6

Substitute n = 6, a =5 and r = \frac{3}{2}

T_6 = 5 * (\frac{3}{2})^{6-1

T_6 = 5 * (\frac{3}{2})^{5

T_6 = 5 * (\frac{243}{32})

T_6 = 5 * \frac{243}{32}

T_6 =  \frac{5 *243}{32}

T_6 =  \frac{1215}{32}

T_6 =  37.96875

5 0
3 years ago
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