Please help. thank you .

Answers

Answer 1

Answer: $4x+2(x+6)=36\n 4x+2x+12=36\n 6x=24\n x=4$

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What is the result of isolating x^2 in the equation below?10x^2-36y^2=100A. x^2=100+36/10 y^2B. x^2=10+36/10 y^2C. x^2=100+36 y^2D. x^2=10+6/10 y^2

Ben wants to leave a 20 percent tip for the waiter at a restaurant. If his meal is $28.53, how much will his total bill be, including the tip? Responses $2.84 $2.84 $5.71 $5.71 $28.53 $28.53 $34.24

Answers

Answer:

$34.24

Step-by-step explanation:

To find the total amount including the tip, you can multiply his total by 1.2. This will add 20% to his total amount, which accounts for the tip:

$28.53*1.2 = 34.236 = $34.24

What is the volume of a sphere with a surface area of 25π yd2?

Answers

Answer:

The volume of sphere is:

65.4167 yd^3

Step-by-step explanation:

We are given surface area of sphere as:

$Area=25\pi\ \text{yd^2}$

We know that the surface area of sphere of radius ''r'' is given by the formula:

$Area=4\pi r^2$

i.e. we have:

$4\pi r^2=25\pi\n\ni.e.\n\nr^2=(25)/(4)\n\n\nr^2=(\ddfrac{5}{2})^2\n\ni.e.\n\nr=\pm (5)/(2)$

As we know that the radius of a circle can't be negative.

Hence,

$r=(5)/(2)\ \text{yd}$

Now the volume of sphere is given by:

$Volume=(4)/(3)\pi r^3\n\ni.e.\n\nVolume=(4)/(3)\pi ((5)/(2))^3\n\ni.e.\n\nVolume=65.4167\ \text{yd^3}$

Volume of sphere is:

65.4167 yd^3

V=11.75 Thats the volume

A nurse worked from 8:15 am until 11:30 am and 12:30 pm until 4:15 pm. Estimate the total number of hours worked.

Answers

The total numbers of hours worked would be 20

Need help, have to submit this very soon!!

Answers

Answer:

see explanation

Step-by-step explanation:

length = $(60)/(8)$ = 7.5 in

scale factor = $(image)/(original)$ = $(8)/(60)$ = $(2)/(15)$

---------------------------------------------------

length = $(192)/(4)$ = 48 cm

scale factor = $(omage)/(original)$ = $(4)/(192)$ = $(1)/(48)$

can you write an equation by setting an expression equal to itself. would an equation like this be true

Answers

Of course ! An expression is always equal to itself.

But if there's, say, an 'x' in the expression, then such an equation would be true
for x=every possible number. You might say it has an infinite number of solutions ...
which certainly has to be true, because no matter what you do to an expression,
it's still always equal to itself !

yes it would be as long as it truly equals eachother

A train covered the distance of 400 km between A and B at a certain speed. On the way back it covered 2/5 of the distance at that same speed and then it decreased its speed by 20 km/hour. Find the speed of the train at the end of its journey from B back to A, if the entire trip took 11 hours.

Answers

Answer:

s - 20 = 60 km/hr

Step-by-step explanation:

The distances are the same going there and coming back.

Givens

d = 400

2/5 * d = 2/5 * 400 = 160

The rest of the trip back = 400 - 160 = 240

Equation

400/(s) + 160/s + 240/(s - 20) = 11 hours.

Solution

distance / speed = time or

d/s = time

Multiply through by s*(s - 20)

400*(s - 20) + 160*(s - 20) + 240s = 11*s*(s - 20) Remove the brackets.

400s - 8000 + 160s - 3200 + 240s= 11(s^2 - 20s) Collect like terms on the left.

560s - 11200 + 240s = 11(s^2 - 20s) Remove the brackets on the rt.

800s - 11200 = 11s^2 - 220s Switch and add 220s

11s^2 - 220s + 220s = 800s +220s - 11200 Combine

11s^2 = 1020s - 11200 Put everything on the left.

11s^2 - 1020s + 11200 = 0

this quadratic factors into

(11s - 140 )(s - 80) = 0

You have 2 solutions

11s - 140 = 0

11s = 140

s = 140/11

s = 12.727272... This solution won't work because the speed has no room to drop down 20 km / hour

===========

s - 80 = 0

s = 80 km hour

But that is not the answer

=======

The answer you want is s - 20 which is 60 km/hr.

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