The sum of three fourths of a number and 1 is -5

Answers

Answer 1

Answer:
We need to give the mystery number an easy name so that
we can work with it. Let's call it it ' M ' , for 'mystery number'.

The number . . . . . . . . . . . . . M
3/4 of it . . . . . . . . . . . . . . . . . 3/4 M
the sum of 3/4 of it and 1 . . . (3/4 M + 1)

You said that sum is equal to -5 .
OK. The equation we need to solve is

   3/4 M + 1 = - 5

Subtract 1 from each side: 3/4 M      = - 6

Multiply each side by 4 : 3 M      = -24

Divide each side by 3 :     M      = - 8

Does it work ?

Check it :

-- Assume the mystery number is . . . -8 .
-- 3/4 of the number . . . . . . . . . . . . . - 6 .
-- sum of 3/4 of the number and 1 . . . -5 <== yay !

Answer 2

Answer:

We need to give the mystery number an easy name so that we can work with it. Let's call it it ' M ' , for 'mystery number'.The number . . . . . . . . . . . . . M3/4 of it . . . . . . . . . . . . . . . . . 3/4 Mthe sum of 3/4 of it and 1 . . . (3/4 M + 1)You said that sum is equal to -5 .OK. The equation we need to solve is 3/4 M + 1 = - 5Subtract 1 from each side: 3/4 M = - 6Multiply each side by 4 : 3 M = -24Divide each side by 3 : M = - 8Does it work ?Check it :-- Assume the mystery number is . . . -8 .-- 3/4 of the number . . . . . . . . . . . . . - 6 .-- sum of 3/4 of the number and 1 . . . -5 <== yay !

Step-by-step explanation:

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what is the smallest possible whole number length for the third side if the other sides are 15 and 20?

Answers

i believe 5 because you subtract 20 from 15

What is the value for y?

Enter your answer in the box.

y =

Answers

Sides AC and CB are identical, which mean the two bottom angles are also identical.

Angle B (2x) would equal 50.

The three inside angles of a triangle equal 180, so the top angle would equal 180 - 50-50 = 80.

Now set the equation for angle C to equal 80 and solve for Y.

5y+10 = 80

Subtract 10 from each side:

5y = 70

Divide both sides by 5:

y = 70/5

y = 14

Answer:

y = 8 and x = 25

Step-by-step explanation:

Look at pic below.

Hope this helps! :)

Which of the following best explains why tan 5pi/6 does not equal to tan 5pi/3?A. The angles do not have the same reference angle.
B. Tangent is positive in the second quadrant and negative in the fourth quadrant.
C. Tangent is negative in the second quadrant and positive in the fourth quadrant.
D. The angles do not have the same reference angle or the same sign.

Answers

Option A. The angles do not have the same reference angle.

Explanation:

1) Angle 5π / 3 radians:

Convert radians to degrees: 5π/3 × 180° / π = 300°
300° is in the fourth quadrant
The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.
∴ The reference angle for this angle is 60°.

2) Angle 5π / 6 radians:

Convert radians to degrees: 5π/6 × 180° / π = 150°
150° is in the second quadrant
The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.
∴ The reference angle for this angle is 30°.

3) Conclusion:

Since the reference angles are different, the tangent ratios have different values.
tan (5π/3) = - tan(60°) = - √3
tan (5π/6) = - tan(30°) = - (√3)/3

Note that the tangent is negative in both second and fourth quadrants.

Answer:

The correct option is A.

Step-by-step explanation:

The first expression is,

$\tan ((5\pi)/(6))$

$\tan ((6\pi-\pi)/(6))$

$\tan (\pi-(\pi)/(6))$

The reference angle is $(\pi)/(6)$ . In second quadrant the sign of tangent is negative.

$-\tan ((\pi)/(6))$

$-(1)/(√(3))$

The second expression is,

$\tan ((5\pi)/(3))$

$\tan ((6\pi-\pi)/(3))$

$\tan (2\pi-(\pi)/(3))$

The reference angle is $(\pi)/(3)$ . In fourth quadrant the sign of tangent is negative.

$-\tan ((\pi)/(3))$

$-√(3)$

Since the sign are same but the reference angle is are different, therefore the correct option is A.

How is the weight moving between X=6 and X=7.5?

Answers

Have you looked at the graph ? ?

The weight is at the rest position of the spring and moving upward
when x=6.

During the next 1.5 seconds, it moves up to the upward limit (the
'amplitude' of the oscillation) and then back down to the rest position.

When x=7.5, the weight is back at the spring's rest position, and moving
downward.

It would be moving 1.5 unp and down because the volume constant

Find the area of triangle of 7m 9m

Answers

I think the answer is a=7b*9/2=31.5M

How do I answer #38? I was thinking 1/4...

Answers

look at the attached picture

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