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2 years ago

Convert 37.45 to a fraction

Mathematics

2 answers:

Art [367]2 years ago

5 0

Answer:

37 9/20

Step-by-step explanation:

Leno4ka [110]2 years ago

5 0

Answer:

${ \bf{answer \: is \: { \underline{37 \frac{9}{20} }}}}$

Step-by-step explanation:

When converting to fraction, you must get to know about the place values.

3 » tens

7 » ones

.4 » tenth

5 » hundredth

since last place value is hundredth, fraction denominator must be 100

therefore:

$37.45 = \frac{3745}{100}$

then you can reduce by 5:

$= \frac{3745 \div 5}{100 \div 5} \\ \\ = \frac{749}{20}$

In mixed fraction:

$= 37 \frac{9}{20}$

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If 9 x 0 + 4 = 4 had parenthesis where would they go?

Bingel [31]

Answer:

(9 x 0) + 4=4

Step-by-step explanation:

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3 years ago

Read 2 more answers

Estimate the difference 7 3/4-2/25 Show your work.

crimeas [40]

Answer: 7 3/4 - 2/25 = 767/100 = 7 67/100 = 7.67

Step-by-step explanation:

Conversion a mixed number 7 3/4

to a improper fraction: 7 3/4 = 7 3/4 = 7 · 4 + 3/4= 28 + 3/4 = 31/4

To find a new numerator:

a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4

b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31

c) Write a previous answer (new numerator 31) over the denominator 4.

Seven and three quarters is thirty-one quarters

Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/

100 = 767/100

6 0

2 years ago

Read 2 more answers

4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail

Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

$h^{-1}(x)=\sqrt{\frac{x+1}{3}}$ ⇒ answer D

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = $f^{-1}(x)$

* Lets use these steps to solve the problems

∵ $f(x)=\sqrt{x-3}$

∵ f(x) = y

∴ $y=\sqrt{x-3}$

- Exchange x and y

∴ $x=\sqrt{y-3}$

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by $f^{-1}(x)$

∴ $f^{-1}(x)=x^{2}+3$

∵ g(x) = x² + 3

∴ $f^{-1}(x)=g(x)$

∴ The functions are inverses to each other

* Now lets find f(g(x))

- To find f(g(x)) substitute x in f(x) by g(x)

∵ $f(x)=\sqrt{x-3}$

∵ g(x) = x² + 3

∴ $f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x$

∴ f(g(x)) = x

∴ The functions are inverses; f(g(x)) = x

* Lets find the inverse of h(x)

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ $\frac{x + 1}{3}=y^{2}$

- Take √ for both sides

∴ ± $\sqrt{\frac{x+1}{3}}=y$

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ $\sqrt{\frac{x+1}{3}}=y$

- replace y by $h^{-1}(x)$

∴ $h^{-1}(x)=\sqrt{\frac{x+1}{3}}$

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3 years ago

One day there is an accident and the tank cracks in 4 places. Water flows out of each crack at a rate of 12 liter per hour. An e

valentinak56 [21]

What’s the question?

5 0

3 years ago

I WILL GIVE BRAINLIEST PLEASE HELP Solve the equation using inverse operations. Check your solutions. In your final answer, incl

Oksi-84 [34.3K]

Answer:

x=16/3=5.33.

Step-by-step explanation:

Isolate x on one side of the equation.

2+x3=18

2+x*3=18

2+x*3-2=18-2 (First, subtract 2 from both sides.)

18-2 (Solve.)

18-2=16

x*3=16

x*3/3=16/3 (Then, divide by 3 from both sides.)

16/3=5.33

x=16/3=5.33

In conclusion, the final answer is x=16/3=5.33.

4 0

3 years ago