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2 years ago

Convert 3/16 to a decimal using long division.

Mathematics

2 answers:

Aleksandr-060686 [28]2 years ago

4 0

Its A hope this helped 100 % correct

MAXImum [283]2 years ago

3 0

Answer:

option A

Step-by-step explanation:

conversion of 3/16 using long division method.

in this method, we write dividend in the box and the divisor on the left side and quotient on the right side.

in the given division 3 is dividend 16 is divisor and 0.1875 is the quotient

the diagram attached below shows the long division

hence the correct answer is option A.

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If f(x) = 7+ 4x and g(x) = 1/2,

olchik [2.2K]

270

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ f(x) = 7 + 4x \ }$
$\boxed{ \ g(x) = \frac{1}{2x} \ }$

<u>Question:</u>

What is the value of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(5)? \ }$

<u>The Process:</u>

The form of $\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ }$ means that f(x) is divided by g(x).

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } \rightarrow \boxed{ \ \frac{f(x)}{g(x)} \ }}$

Let us solve the problem.

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = \frac{7 + 4x}{\frac{1}{2x}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = (7 + 4x) \times \frac{2x}{1} \ }$

Thus, we get $\boxed{{ \ \bigg( \frac{f}{g} \bigg)(x) = 14x + 8x^2 \ }}$

And now, we can calculate the value of $\bigg( \frac{f}{g} \bigg)(5)$ .

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 14(5) + 8(5)^2 \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 70 + 200 \ }$

Thus, the value is 270.

- - - - - - - - - - -

Alternative thinking

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = \frac{7 + 4(5)}{\frac{1}{2(5)}} \ }$

$\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = (7 + 20) \times 10} \ }$

$\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 270 \ }}$

<h3>Learn more</h3>

If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
Solve for the value of the function composition brainly.com/question/2142762
If g(x) is the inverse of f(x), what is the value of f(g(2)) brainly.com/question/1517760

Keywords: if, f(x), g(x), function, divide by, the value, (f/g)(5), 5, 270

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3 years ago

Your grades on three exams are 80, 93, and 91. What grade do you need on the next exam to have an average of 90 on the four exam

Pani-rosa [81]

<u>Answer:</u>

<u>Step-by-step explanation:</u>

Let's assume that the marks needed in the next exam is $x$ . Then if the average becomes 90,

$\frac{80 + 93 + 91 + x}{4}= 90$

Now we can simply solve for $x$ :

⇒ $\frac{264 + x}{4}= 90$

⇒ $264 + x = 360$ [Multiplying both sides by 4]

⇒ $x = 360 - 264$ [Subtracting 264 from both sides]

⇒ $x = \bf96$

Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.

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2 years ago

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Tems11 [23]

Answer: (1.) 1/3

(2.)2/3

(3.) 2:1

(4.) 1/2

Step-by-step explanation:

(1.) 12 mult. problems and 12+24=36 total so 12/36 =1/3

(2.) 24 div. problems and 36 totals so 24/36 =2/3

(3.) 24 div and 12 mult =24/12 or 2/1

(4.) 12 mult and 24div =12/24=1/2

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3 years ago

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What are the values of x and y?

scZoUnD [109]

Answer:

x is equal to 24 and y is equal to 66.

Step-by-step explanation:

In order to find the value of y, we first have to note that the unlabeled angle in the larger triangle, y and the 78 degree angle create a straight line. The unlabeled angle is equal to 36 since it and the other two angles equal 180. So we take that 36, 78 and y and can set that equal to 180.

36 + 78 + y = 180

114 + y = 180

y = 66

Now that we have that value, we can use y and the 90 degree angle to find x.

x + y + 90 = 180

x + 66 + 90 = 180

x + 156 = 180

x = 24

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3 years ago

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before ad

ludmilkaskok [199]

Answer:

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Step-by-step explanation:

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3 years ago

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