What is the answer for 4x-5=5x-5

Answers

Answer 1

Answer: 0....

4x-5x=-5+5
-x=0
x=0

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Jordan saved 4/5 of the amount he needs to buy a $80 video game. If he earns $7.75 per hour by working at a pizza shop, how many hours does he need to work to save the rest of the money for the video game? round to the nearest hour

Answers

Amount of money saved by Jordon for the video game = (4/5) * 80
      = 4 * 16 dollars
   = 64 dollars
So
The amount of money that
Jordan needs to earn more for buying the video game = (80 - 64) dollars
   = 16 dollars
Amount earned by Jordan per hour working at a pizza shop = $7.75
Let us assume the number of hours Jordan needs to work to save the rest of the money for the video game = x
Then
7.75x = 16
x = 16/7.75
   = 2.06 hours
So it can be said that Jordan has to work 3 hours to save the rest of the money for the video game. If Jordan works 2 hours then he will be short of the required amount. If Jordan works for 3 hours he will have some excess amount in his hand after saving for the video game.

a charter bus travels 210 miles in 3 1/2 hours. assume the distance traveled is directly proportional to the time traveled. write and solve a direct variation equation to find how far the bus travel in 6 hours.

Answers

The constant of variation is 60 miles.

Direct variation formula: y = kx

y = 210
x = 3 1/2 miles
k = ?

k = y/x
k = 210 / 3 1/2 miles

*convert mixed fraction into a simple fraction
3 1/2 = (3*2+1)/2 = 7/2
k = 210 ÷ 7/2

Remember the rule of dividing fractions: multiply the 1st fraction by the reciprocal of the 2nd fraction.
1st fraction = 210 ⇒ 210/1
2nd fraction = 7/2 ⇒ reciprocal = 2/7

k = 210/1 * 2/7 = (210*2)/(1*7) = 420/7 = 60

The constant of variation is 60 miles.

To check:
y = kx
y = 60 (3.5)
y = 210 miles

We set up an equation: 210 miles/ (3 1/2 hours)= ? miles/ 6 hours

Cross multiply:
? miles* 3 1/2 hours= 210 miles* 6 hours
⇒ ? miles= 210 miles* 6 hours/ (3 1/2 hours)= 360 miles.

The bus would travel 360 miles in 6 hours~

A plane starts at the origin of the coordinate plane. The plane flies 0.5 units left and 3.5 units up to point X. What are the coordinates of point X?

Answers

Answer:

Point X =(-0.5,3.5)

Step-by-step explanation:

We are given that A plane starts at the origin of the coordinate plane.

Thus the point X = (0,0)

Now we are given that The plane flies 0.5 units left

Thus x coordinate becomes -0.5

We are also given that point X , 3.5 units up

So, y coordinate become 3.5

So, Point X =(-0.5,3.5)

Refer the attached figure

Verify cot x sec^4x=cotx +2tanx +tan^3x

Answers

Answer:

See explanation

Step-by-step explanation:

We want to verify that:

$\cot(x) \: { \sec}^(4) x = \cot(x) + 2 \tan(x) + { \tan}^(3) x$

Verifying from left, we have

$\cot(x) \: { \sec}^(4) x = \cot(x) \: ( 1 + { \tan}^(2) x )^(2)$

Expand the perfect square in the right:

$\cot(x) \: { \sec}^(4) x = \cot(x) \: ( 1 + { 2\tan}^(2) x + { \tan}^(4) x)$

We expand to get:

$\cot(x) \: { \sec}^(4) x = \cot(x) \: + \cot(x){ 2\tan}^(2) x +\cot(x) { \tan}^(4) x$

We simplify to get:

$\cot(x) \: { \sec}^(4) x = \cot(x) \: + 2 ( \cos(x) )/(\sin(x) ) ) * \frac{{ \sin}^(2) x}{{ \cos}^(2) x} +( \cos(x) )/(\sin(x) ) ) * \frac{{ \sin}^(4) x}{{ \cos}^(4) x}$

Cancel common factors:

$\cot(x) \: { \sec}^(4) x = \cot(x) \: + 2 \frac{{ \sin}x}{{ \cos}x} +\frac{{ \sin}^(3) x}{{ \cos}^(3) x}$

This finally gives:

$\cot(x) \: { \sec}^(4) x = \cot(x) + 2 \tan(x) + { \tan}^(3) x$

Which numbers are rational? Select all that apply.A. π
B. √50
C. 2.33333333333333
D.√144

If you answer you will be rewarded

Answers

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Answer: D

Im positive it is D and it might be 2.3333333333. But, i will stick with D.

8x(3x2-8)+10 what does his mean?

Answers

$8*(3*2-8)+10= \n\n =8*(6-8)+10= \n\n = 8*(-2)+10= \n\n =-16+10= \n\n =\boxed{-6}$

$8*(3*2-8)+10 \n =8*(6-8)+10 \n =8*(-2)+10 \n =-16+10 \n =-6$

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