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Zolol [24]
2 years ago
7

Write 4 1/5 as a improper fraction

Mathematics
1 answer:
BartSMP [9]2 years ago
8 0

Answer:

21/5

Step-by-step explanation:

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Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

But

<h3>log_{10}(10)  = 1</h3>

So we have

x =  log_{10}(1200)

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

That's

<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0
3 years ago
Find the inverse of f(x)=4x+3
zhuklara [117]

f(x) = 4x+3\\\\\text{Write f(x) as y = 4x+3}\\\\\text{Replace x with y,}\\\\x =4y +3\\\\\text{Solve for y:}\\\\ \implies x =4y+3\\\\\implies 4y = x-3  \\\\\implies y =\dfrac{x-3}4\\\\\implies f^{-1} (x) = \dfrac{x-3}4\\\\\text{This is the inverse of f(x)}

4 0
2 years ago
At the store the ratio of books sold to movies sold was 8:2. For every __ books sold there were __ movies sold
AveGali [126]

8:2

divide  each side by 2

4:1

For every _8_ books sold there were _2_ movies sold  OR

For every _4_ books sold there were _1_ movies sold

3 0
2 years ago
Find the scale factor for the dilation. please show your work.<br><br> X (3. 6) X' (2, 4)
Anastasy [175]

Answer:

Step-by-step explanation:

4/6=2/3

2/3=2/3

scale factor=2/3

6 0
3 years ago
A diver descended at a constant rate of 16.83 feet every 3 minutes. Which of the following is true?
Nana76 [90]

Answer:

C)hello, yes or nou sorry jajaj

8 0
2 years ago
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