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3 years ago

What expression can be used to subtract 7/8 - 1/2 ?

Mathematics

2 answers:

jarptica [38.1K]3 years ago

4 0

7/8 - 1/2

1/2 x 4/4 = 4/8

7/8 - 4/8

<span>A. 7/8 - 4/8 is your answer

hope this helps</span>

Verdich [7]3 years ago

3 0

The answer to your question is A :)

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The sum of two numbers is with a ratio of 15:10. Find the larger number.

arsen [322]

Assume the sum is 100. The ratio of the two numbers is 15:10. This means that we can divide this indow 15+10, or 25 parts. Let us do that. Divide 100 into 25 parts and see how much is in each part. 100/25 is 4, meaning that there is 4 in each part. 15 parts will have 15*4, or 60. 10 parts will have 10*4, or 40. To confirm, add 40 and 60. It matches with what we started out with, 100.

The two numbers, assuming the sum is 100, are 40 and 60. 60 is the greater value.

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3 years ago

Solve the system of equations -12x-5y=40 12x-11y=80

Gwar [14]

Answer:

The answer is (-5/24, -7.5).

Step-by-step explanation:

There are two methods to solving a system of equations - substitution or elimination. In this example, we can use elimination since the coefficients of 'x' are opposite signs. To complete elmination, we simply add the equations together:

-12x - 5y = 40

-16y = 120

Use inverse operations to solve for 'y' by dividing both sides by -16 to get y = -7.5.

Next, plug in the value of 'y' into one of the equations and solve for 'x':

-12x - (5)(-7.5) = 40 or -12x + 37.5 = 40, now subtract 37.5 from both sides: -12x + 37.5 - 37.5 = 40 - 37.5 or -12x = 5/2. Lastly, divide both sides by -12 to solve for x, x = -5/24.

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3 years ago

What is the solution of log2x + 6 8 = 3?

Fantom [35]

Answer:

Step-by-step explanation:

log(2x + 6) +8 = 3

Solve this log equation for x

First subtract 8 from both sides

log(2x+6)= -5

Now we convert it into exponential form

If log(x) = a then 10^a = x

log(2x+6)= -5 becomes

subtract 6 from both sides

Now we divide by 2 on both sides

x= -3 approximately

5 0

3 years ago

Geometry math question no Guessing and Please show work

mariarad [96]

We will use angle sum property of triangle here

sum of three angles of triangle =180

35.5+82.6 + third angle =180

118.1 + third angle =180

third angle =180-118.1 = 61.9

third angle =61.9 degrees (option C)

7 0

4 years ago

Use the unit circle to evaluate these expressions:

sergeinik [125]

Answer:

a) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4$

For this case we know that $sin (\pi/4) = \frac{\sqrt{2}}{2}$

So then $sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}$

b) We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$19 \pi/6 - 2\pi = \frac{7\pi}{6}$

For this case we know that $cos (\pi/6) = \frac{\sqrt{3}}{2}$

And we know that $\frac{7\pi}{6}$ is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then $cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}$

c) For this case that any factor of $\pi$ the sin function is equal to 0.

So from definition of tan we have this:

$tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0$

Step-by-step explanation:

a. sin (17pi / 4 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$17 \pi/4 - 2\pi = \frac{9\pi}{4} -2\pi = \pi/4$

For this case we know that $sin (\pi/4) = \frac{\sqrt{2}}{2}$

So then $sin(\frac{17 \pi}{4}) = \frac{\sqrt{2}}{2}$

b. cos (19pi / 6 )

We can remove the complete rotations around the unitary circle like this, because we know that one complete revolution is equivalent to $2\pi$ :

$19 \pi/6 - 2\pi = \frac{7\pi}{6}$

For this case we know that $cos (\pi/6) = \frac{\sqrt{3}}{2}$

And we know that $\frac{7\pi}{6}$ is on the III quadrant since is equivalent to 210 degrees. And on the III quadrant the cosine is negative. So then $cos(\frac{19 \pi}{6}) = -\frac{\sqrt{3}}{2}$

c. tan(450pi)

For this case that any factor of $\pi$ the sin function is equal to 0.

So from definition of tan we have this:

$tan (450\pi) = \frac{sin(450 \pi)}{cos(450 \pi)}= \frac{0}{cos(450\pi)}= 0$

4 0

3 years ago