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3 years ago

What are the values of x in the equation x2 – 6x + 9 = 25?

Mathematics

1 answer:

miss Akunina [59]3 years ago

6 0

Answer:

x=8,−2

Step-by-step explanation:

First, you move all the terms to one side

x^2−6x+9−25=0

Then you simplify

x^2 −6x−16=0

Factor

(x−8)(x+2)=0

Which will result in x=8,−2

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How man 1/3 cups make 3/4 cups

Sati [7]

Answer:

it would take 2.25 1/3 cups if you are looking for an exact answer, or if you are looking for the minimum amount of 1/3 cups necessary to make 3/4 it would be 3.

Step-by-step explanation:

You can solve this by cross multiplying 1/3 and 3/4

You will get 9/4 which simplifies to 2 1/4 or 2.25

8 0

3 years ago

Solve for a: b − 2a = c

vlada-n [284]

Answer:

$a=-\frac{c-b}{2}$

Step-by-step explanation:

Solving for the variable $a$ , given that :

$b-2a=c$

We can first start start by subtracting $b$ from both sides of the equation:

$-2a=c-b$

Now, we can divide both sides of the equation by the coefficient of $a$ , which would be $-2$ :

$a=\frac{c}{-2}-\frac{b}{-2}$

Applying the fraction rule $\frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}$ :

$a=\frac{c-b}{-2}$

Then, apply the fraction rule $\frac{a}{-b} =-\frac{a}{b}$

$a=-\frac{c-b}{2}$

5 0

3 years ago

In training for a swim meet, Logan swam 750 meters in 1/3 of an hour. His swimming partner Mila, swam 2/3 of Logan's distance in

Brut [27]

Answer:

speed of Logan is 37.5 m/minutes

speed of Milo is 33.33 meters per minutes

Speed of Logan is greater than speed of Milo

difference in speed = 37.5 - 33.33 = 4.17 meters per minutes

Step-by-step explanation:

we will calculate speed in meters per minutes

we know 1 hour = 60 minutes and

1 minutes = 60 seconds

speed = distance/time

____________________________________

For Logan

distance = 750 meters

time = 1/3 of hour = 1/3 *60 minutes = 20 minutes

speed = 750/20 = 37.5 meters per minute

__________________________________________________

For milo

distance = 2/3 of Logan's distance = 2/3 * 750 meters = 500 meters

time = 1/4 of hour = 1/4 *60 minutes =15 minutes

speed = 500/15 = 33.33 meters per minute

Thus, speed of Logan is 37.5 m/minutes

speed of Milo is 33.33 meters per minutes

Speed of Logan is greater than speed of Milo

difference in speed = 37.5 - 33.33 = 4.17 meters per minutes

Step-by-step explanation:

4 0

3 years ago

It takes about 20 minutes to grade a student’s paper. How long, in hours, does it take to grade papers for a class of 30 people?

insens350 [35]

Answer:

The answer is 600 minutes (10 hours)

Step-by-step explanation:

20 minutes = 1 student.

30 students x 20 = 600 minutes

600mins / 60 (because an hour has 60 mins) = 10 hours.

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3 years ago

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What is the mean of the following data values? 22,37,49,15,82

densk [106]

There are 5 data values.

Mean = (22 + 37 + 49 + 15 + 83) / 5 = 41.2

7 0

3 years ago

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