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2 years ago

Simplify 198/726 to the lowest term

1 answer:

3 0

So to simplify fractions, you have to divide the numerator and denominator by their common GCF, or Greatest Common Factor. You would keep going until the numerator and denominator don't have a GCF greater than 1.

$\frac{198}{726} /\frac{6}{6} =\frac{33}{121} \\ \\ \frac{33}{121} /\frac{11}{11} =\frac{3}{11}$

The simplified fraction is 3/11.

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A fair coin was flipped 50 times. It landed on heads 29 times.

faust18 [17]

Answer:

21/50, 42%

Step-by-step explanation:

The total times the coin was flipped is 50 and the number of times it landed on tails is 50-29=21. So we need to divide 21 by 50, which gives us 42%.

7 0

3 years ago

9/20

NISA [10]

For this case we must find the solution of the following quadratic equation:

$x ^ 2 + 5x + 7 = 0$

Where:

$a = 1\\b = 5\\c = 7$

Then, the solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values:

$x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}$

By definition we have: $i ^ 2 = -1$

$x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}$

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0

3 years ago

The three straight paths, , , and , meet each other at three points, A, B, and C. How do these points of intersection differ fro

stiv31 [10]

Answer:

Step-by-step explanation:

I am sort. I have no idea

5 0

2 years ago

a quarter fell out of james’ pocket each day for a week. what integer represents how much money james lost over the course of th

Luden [163]

Quarter =25 cents
One week =25*7
175 cents which is =1 dollar 75 cents

3 0

3 years ago

Find the x- and y-intercepts of the graph of the linear equation −x+8y=4

Andreyy89

First set the equation equal to y by adding x to each side, then divide everything by 8. then set x to zero and solve to find the y - intercept of 1/2 which is just 4/8 reduced. you get this answer because x/8 becoming 0/8 is just 0 leaving you with only 1/2. then reset the equation with x and set y to zero and solve for x to get the x- intercept of -4. you get this by subtracting 1/2 from both sides leaving you -1/2=x/8 and multiply by 8 to get -4=x

4 0

3 years ago