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3 years ago

Which shows the most reasonable way to estimate 3 4/7 (-2 1/12) using compatible fractions

Mathematics

1 answer:

docker41 [41]3 years ago

4 0

Answer:

B). 3 1/2(-2) = -7

Step-by-step explanation:

Let's evaluate the expression so as to be able to get the right estimate.

3 4/7 (-2 1/12)

=3 4/7 (-25/12)

= 25/7 * -25/12

= -625/84

= -7 37/84

Approximately it's equal to ,-7

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Step-by-step explanation:

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2 years ago

Ling worked three more hours on Tuesday than she did on Monday. On Wednesday, she worked one hour more than twice the number of

Nina [5.8K]

Let x be the number of hours ling work on monday.

We know that she worked three more hours on tuesday that in monday, this can be express as :

$x+3$

We also know that in wednesday she worked on more hour than twice the number on mondays, this can be expressed as:

$2x+1$

The total number of hours she worked this three days in two more than five the number of hours she worked on monday, this can be express as :

$5x+2\\$

Now , once we have all the expressions we add the expressions of the days and equate them to the total

$x+(x+3)+(2x+1)=5x+2$

Now we solve the equation

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Therefore , she worked 2 hours on monday.

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7 0

3 years ago

Read 2 more answers

How to Simplify. (–21 × 3) + (15 ÷ –3)

vladimir2022 [97]

Answer:

-68 is your answer

Step-by-step explanation:

Remember to follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

First, solve each parenthesis

(-21 x 3) = -63

(15/-3) = -5

Next, add

(-63) + (-5) = -63 - 5 = -68

-68 is your answer

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2 years ago

Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by

elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate $x^4$ .

We have

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h$

Expand the numerator using the binomial theorem, then simplify and compute the limit.

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}$

In general, the derivative of a power function $f(x) = x^n$ is $\frac{df}{dx} = nx^{n-1}$ . (This is the aptly-named "power rule" for differentiation.)

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2 years ago