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2 years ago

Decimals that have the same value are

1 answer:

4 0

Decimals that have the same value are equivalent decimals. Equivalent decimals are decimal numbers that have the same value (the same amount). In other words equivalent decimal numbers have the same value but different number of decimals. For example:
0.5 and 0.50 are equivalent decimals.
0.5 and 0.500
0.05 and 0.0500

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Samuel is solving the equation 3(x - 1) + 4 = 2 - (x + 3). Which equivalent equations might Samuel use? Select the TWO correct a

mote1985 [20]

A= 3, and 4. (c & d)

1. Solve the Equation: $3(x - 1) + 4 = 2 - (x + 3)\\$ , to get

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1a. Use the distributive property to multiply 3 by x−1.

$3x−3+4=2−(x+3)$

1b. Add −3 and 4 to get 1.

$3x+1=2−(x+3)$

1c. To find the opposite of x+3, find the opposite of each term.

$3x+1=2−x−3$

1d. Subtract 3 from 2 to get −1.

$3x+1=−1−x$

1e. Add x to both sides.

$3x+1+x=−1$

1f. Combine 3x and x to get 4x.

$4x+1=−1$

1g. Subtract 1 from both sides.

$4x=−1−1$

1h. Subtract 1 from −1 to get −2.

$4x=−2$

1i. Divide both sides by 4.

$x=4−2$

1j. Reduce the fraction 4−2=−0.5 to lowest terms by extracting and canceling out 2.

$x=−21$ or x = -21

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Now that you know the answers, solve the others:

2. A= 1, so this is wrong. How I solved it is shown below:

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1a. Add −3 and 4 to get 1.

3x+1=2−x+3

1b. Add 2 and 3 to get 5.

3x+1=5−x

1c. Add x to both sides.

3x+1+x=5

1d. Combine 3x and x to get 4x.

4x+1=5

1e. Subtract 1 from both sides.

4x=5−1

1f. Subtract 1 from 5 to get 4.

4x=4

1g.Divide both sides by 4.

x=44

1h. Divide 4 by 4 to get 1.

x=1

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3. A= .5, so it is Correct. Work below

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3a. Add x to both sides.

$3x+3+x=5$

3b. Combine 3x and x to get 4x.

$4x+3=5$

3c. Subtract 3 from both sides.

$4x=5−3$

3d. Subtract 3 from 5 to get 2.

$4x=2$

3e. Divide both sides by 4.

$x=42$

3f. Reduce the fraction 42=0.5 to lowest terms by extracting and canceling out 2.

$x=21$ (A = 1/2 or .5)

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4. A= .5, so it is correct. Work below. Now we have our 2, so we don't need to do it again.

-------------------------------

4a. Add −1 and 4 to get 3.

$3x+3=2−x+3$

4b. Add 2 and 3 to get 5.

$3x+3=5−x$

4c. Add x to both sides.

$3x+3+x=5$

4d. Combine 3x and x to get 4x.

$4x+3=5$

4e. Subtract 3 from both sides.

$4x=5−3$

4f. Subtract 3 from 5 to get 2.

$4x=2$

4g. Divide both sides by 4.

$x=\frac{2}{4}$

4h. Reduce the fraction 42=0.5 to lowest terms by extracting and canceling out 2.

$x=\frac{1}{2}$

7 0

3 years ago

Three times a number plus 16

DochEvi [55]

To solve this, we simply need to break down the words and turn each part into an equation.

"Three times"
This shows that we will be multiplying 3 and something.
3*

"a number"
This shows that the number we will be multiplying 3 by is "n," which represents a number.
3*n or 3n

"plus 16"
This shows we will be adding 16 to the rest of the equation.
3n+16

Using the logic above, we can see that the equation to represent this is 3n+16.

7 0

2 years ago

Can some on e please help me understand this

umka21 [38]

It’s P.E.M.D.A.S

P= parenthesis ()
E= exponent
M= multiplication or Multiply
D= Division or divided
A= Addition
S= Subtraction
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

4 0

2 years ago

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below: