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3 years ago

Are the fractions equal? Explain why or why not.

Mathematics

2 answers:

vazorg [7]3 years ago

7 0

Well I would say yes because when you cut the larger fraction in half the numbers came up with are 2/4 and so with that mentioned the fractions are equivalent. I hoped that this helped. :)

Degger [83]3 years ago

6 0

Yes because you can simplify 4/8 to 2/4 by dividing both denominator and numerator by 2 :

4÷2=2
8÷2=4

hope this helps

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DECK is a parallelogram with m∠1 = 20°, m∠(<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^

maw [93]

9514 1404 393

Answer:

m∠2 = 16° or 25°

Step-by-step explanation:

The sum of angles 1 and 2 is congruent to angle CED.

20° +(x^2)° = (9x)°

x^2 -9x +20 = 0 . . . . . divide by °, put in standard form

(x -5)(x -4) = 0 . . . . . . . factor

x = 5 or 4

m∠2 = (x^2)° = (5^2)° or (4^2)°

m∠2 = 16° or 25°

7 0

2 years ago

What is the solution to the system of equations 2x-y=7 and y=2x+3

Yuri [45]

Make y the subject in both equations

$2x-y=7$

$-y=-2x+7$

$y=2x-7$

For the second equation

$y=2x+3$

The two equations are parallel because they have the same gradient or slope but different y intercepts.

This type of equations have no solution because they will never intersect.

$NO SOLUTION$

The correct answer is C

6 0

2 years ago

Evaluate lim x→∞ (3x+1)^(4/x), using l'hospital's rule as needed. show all work using proper notation. as you show your work, if

Alborosie

$\displaystyle\lim_{x\to\inty}(3x+1)^{4/x}=\lim_{x\to\infty}e^{\ln(3x+1)^{4/x}}=e^{\lim\limits_{x\to\infty}\ln(3x+1)^{4/x}}$

$\displaystyle\lim_{x\to\infty}\ln(3x+1)^{4/x}=\lim_{x\to\infty}\frac{4\ln(3x+1)}x\stackrel{\mathrm{LHR}}=\lim_{x\to\infty}\frac{4\frac3{3x+1}}1=\lim_{x\to\infty}\frac{12}{3x+1}=0$

$\implies\displaystyle\lim_{x\to\infty}(3x+1)^{4/x}=e^0=1$

4 0

3 years ago

In a jar of coins, 18 out of the 40 coins are dimes. Express the fraction of the coins

Step2247 [10]

Answer:

Percent: 20%

Fraction: 1/5

Decimal: 0.20

Step-by-step explanation:

8:40*100 =

( 8*100):40 =

800:40 = 20%

Percent to fraction:

20%=20/100

= 0.2

=0.2×10/10

=2/10

=1/5

Percent to decimal:

20/100 = 0.20

8 0

3 years ago

Solve x2 − 10x = −13.

aev [14]

Answer:

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial $x^{2}-10x+13$ . We can now use the quadratic formula to solve.