What is the unit price of a 6 ounce tube of toothpaste that costs $3.78. Round to the nearest cent if necessary.

Answer:

- 2/3 is the answer

Step-by-step explanation:

Given:

The distance s​ (in feet) of the ball from the ground after t seconds is

[tex]s=64t-16t^2[/tex]

To find:

(a) At what time t will the ball strike the​ ground?

(b) For what time t is the ball more than 48 feet above the​ ground?

Solution:

(a)

We have,

[tex]s=64t-16t^2[/tex]

Substitute s=0, to find the time t when the ball strike the​ ground.

[tex]0=64t-16t^2[/tex]

[tex]0=16t(4-t)[/tex]

Using zero product property, we get

[tex]16t=0\Rightarrow t=0[/tex]

[tex]4-t=0\Rightarrow t=4[/tex]

Therefore, the ball strike the​ ground in initial condition (t = 0) and after 4 seconds (t = 4).

(b)

Now, s > 48, to find the time t when the ball will be more than 48 feet above the​ ground.

[tex]64t-16t^2\geq 48[/tex]

[tex]0> 16t^2-64t+48[/tex]

Divide both sides by 16.

[tex]0> t^2-4t+3[/tex]

[tex]0> t^2-t-3t+3[/tex]

[tex]0> t(t-1)-3(t-1)[/tex]

[tex]0>(t-1)(t-3)[/tex]

Related equation is [tex](t-1)(t-3)=0[/tex]. Zeroes are t=1,3. These two number divide the number line is three parts. (-∞,1),(1,3),(3,∞)

[tex]0>(t-1)(t-3)[/tex] inequality is true for only (1,3).

It is only possible when t lies in the interval (1,3).

Therefore, the ball will be more than 48 feet above the​ ground between 1 and 3 seconds.

Answer:

m=13

Step-by-step explanation:

11.50-5.00= 6.50

6.50 divided by .50

= 13 miles

m=13

Answers:

x=4 and y=27

x=8 and y=-1

x=1 and y=216

Step-by-step explanation:

You have to plug all of the choices given into the equation until it equals to 7

∛12 + 3 = 2.9 +3 = 5.29

∛27 + 4= 3 + 4 = 7

∛16 + 3 = 2.5 +3 = 5.5

∛-1 + 8 = -1 + 8= 7

∛216 + 1 = 6 + 1= 7

∛30 - 3 = 3.11 - 3 = 0.11

∛3 + 4 = 1.44 + 4= 5.44

Answer:

Step-by-step explanation:

180-120=60

4*18-12=60

x=60

answer:

26 feet

step by step explanation:

40 - 5.2 = 35.2 - 8 = 27 - 1 = 26

Answer:

7/6 or 1.17

Step-by-step explanation:

i made them have a common denominator of 24 and simplified.

hope this is right and helps! :)

Answer:

8/12 or 2/3

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

0.21 and 0.22

Step-by-step explanation:

Answer:

2.14

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

7 dollars per pound

Explanation:

divide 42 by 6 and your answer is 7 dollars per pound

Answer:

It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.

Step-by-step explanation:

For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week ([tex]x[/tex]), she adds $21 to her savings account:

[tex]21x+117[/tex]

The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week ([tex]x[/tex]), she adds $25 to her checking account:

[tex]25x+95[/tex]

Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks ([tex]x[/tex]) it takes until Rosha has the same amount of money in both accounts:

[tex]21x+117=25x+95[/tex]

Subtract [tex]21x[/tex] from both sides of the equation:

[tex]117=4x+95[/tex]

Subtract [tex]95[/tex] from both sides of the equation:

[tex]22=4x[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]4[/tex]:

[tex]5.5=x[/tex]

[tex]x=5.5[/tex]

So it will take five and a half weeks for her accounts to have the same amount of money.

_

Check your work by substituting [tex]5.5[/tex] into the initial equation:

[tex]21(5.5)+117=25(5.5)+95[/tex]

[tex]115.5+117=137.5+95[/tex]

[tex]232.5=232.5[/tex]

Since the accounts have the same amount, the answer is correct!

Answer:

Step-by-step explanation:

Initial balance

Added amount per week

If number of weeks is x, then required equation is

Solving for x

The answer is 5.5 weeks

Answer:

10 off

Step-by-step explanation:

3times 8= 24

3 times 2= 6

then add together-10 dollars

Answer:

The remainder is -61

Step-by-step explanation:

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).

The given polynomial is:

[tex]f(x) = 4x^3 - 6x^2 + 3x + 1[/tex]

We need to find the remainder when f(x) is divided by x+2. According to the above-mentioned theorem, we only need to find f(-2) as follows:

[tex]f(-2) = 4(-2)^3 - 6(-2)^2 + 3(-2) + 1[/tex]

[tex]f(-2) = 4(-8) - 6(4) - 6 + 1[/tex]

[tex]f(-2) = -32 - 24 - 6 + 1=-61[/tex]

The remainder is -61

Answer:

Step-by-step explanation:

-7c - 5

Answer:

7 rings = $2.52

then 1 ring will cost = 1/7×2.52

= 0.36

Therefore 1 ring will cost $0.36.

Answer:

17

Step-by-step explanation:

68/4=17

68 is the total perimeter, to get the length of each side is divide by 4, because it's a square, it has 4 sides.

Hope this helps!

Answer:

68 is the length of each side

Answer:

f(x)+41 f(-10)=7

Step-by-step explanation:

Where is the graph I need to see the graph for the answer

Answer:

4 squares?

Step-by-step explanation:

Answer:

g=-8

Step-by-step explanation:

Answer:

you didn't screenshot/take the photo fully...

we can't see it.

Step-by-step explanation:

Answer:

k = 5

Step-by-step explanation:

4 - 5k = -21

Transpose and subtract 4 from both sides:

4 - 4 - 5k = -21 -4

-5k = -25

Divide both sides by -5

-5k/-5 = -25/-5

k = 5