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3 years ago

How to turn 21 ÷4 into a mixed fraction

Mathematics

1 answer:

Debora [2.8K]3 years ago

7 0

Answer:

5 1/4

Step-by-step explanation:

4/21, This is an improper fraction right now.

Find out how many times 4 goes into 21.

This is 5 times with a remainder of 1.

Put 1 back over 4.

Your answer is 5 1/4.

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Okay so sorry I’m not very smart when it comes to math but how do I write 2.3181818181818 (it’s a repeating decimal) as a mixed

Alex_Xolod [135]

It is a mixed repeating decimal bc no 3 is not repeating It start at 18
To convert into fraction you take all the decimals (318) then you subtract the non repeating decimal (318-3=315
315 is the nominator
For the denominator you count how many repeating decimal(2) then you put 2 nines For every non repeating decimal you add a zero
315/990. =7/22
2.3181818....= 2(7/22)

3 0

3 years ago

1. Describe the relationship between the terms in the sequence 13, 26, 52,

Vilka [71]

Answer: All of the numbers in the sequence are going up twice the amount as before. The next three terms will be 208, 416, 832

4 0

3 years ago

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An equilateral triangle has perimeter P. The length of one side is p/3 which expression is equivalent to the length of one side?

LekaFEV [45]

Answer:

Your answer is C

Step-by-step explanation:

3 0

3 years ago

Rewrite the equation y=2|x−3|+5 as two linear functions f and g with restricted domains.

vesna_86 [32]

The absolute value transforms a negative number into a positive number.

For example

Let z be a real number, then:

| z | It will always be a positive number.

This means that:

If z is a negative number, then:

| z | = -z

If z is a positive number, then:

| z | = z

This means that for the expression the expression y = 2 | x-3 | +5

When x-3 > 0 then:

| x-3 | = x-3

When x-3 < 0 then:

| x-3 | = - (x-3)

Then we can divide the expression into two functions f (x) and g (x).

f (x) = 2 (x-3) +5

f (x) = 2x-6 + 5

f (x) = 2x-1

For

$(x-3) \geq 0\\ x \geq 3$

g (x) = 2 (-x + 3) +5

g (x) = -2x + 6 + 5

g (x) -2x +11

For

(x-3) < 0

x < 3

8 0

3 years ago

Calc help pretty please

Gre4nikov [31]

Answer:

A. 77.4

Step-by-step explanation:

Linear approximation formula

$L(x)=f(a)+f'(a)(x-a)$

Given function:

$f(x)=(x+1)^2$

$\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If $y=f(u)$ and $u=g(x)$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}$

$\boxed{\begin{minipage}{5 cm}\underline{Differentiating $x^n$}\\\\If $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=xn^{n-1}$\\\end{minipage}}$

$\boxed{\begin{minipage}{4 cm}\underline{Differentiating $ax$}\\\\If $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}$

Use the chain rule to differentiate the function.

$\textsf{Let }\:y=u^2\:\textsf{ where }u=(x+1)$

Differentiate the two parts separately:

$y=u^2 \implies \dfrac{\text{d}y}{\text{d}u}=2u$

$u=x+1 \implies \dfrac{\text{d}u}{\text{d}x}=1$

Put everything back into the chain rule formula:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =2u \times 1\\ & = 2u \\ & = 2(x+1)\\ & = 2x+2 \end{aligned}$

$\textsf{Therefore, }\:f'(x)=2x+2.$ .

The linear approximation at a = 8 is:

$\begin{aligned}L(x) & =f(a)+f'(a)(x-a)\\\\\implies L(x) & = f(8)+f'(8)(x-8)\\& = (8+1)^2+(2(8)+2)(x-8)\\& = 81+18(x-8)\\& = 18x-63\end{aligned}$

Finally, substitute x = 7.8 into the linear approximation equation:

$\begin{aligned}\implies L(7.8) & =18(7.8)-63\\& = 140.4-63\\& = 77.4\end{aligned}$

4 0

2 years ago

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