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2 years ago

A case of Mountain Dew (24 cans) cost $7.68. What is the unit price?

Mathematics

2 answers:

Sergio [31]2 years ago

8 0

Answer:

The answer is $0.32.

Step-by-step explanation:

You achieve this answer by taking the total price ($7.68) divided by the number of units for that price (24 cans). Therefore:

$\frac{7.68}{24} = 0.32$

Westkost [7]2 years ago

3 0

0.32 cents for each unit because if you divide 7.68 by 24 it is 0.32

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vova2212 [387]

Answer:

1. A. 4 terms

There are 4 different values in the expression, so therefore there are 4 terms.

2. D. 3x^2 + 6x + 10

To get the answer...

start with the original expression: 3x^2 + x + 10 + 5x

add the like terms together, in this case you'd add x + 5x

you'll get: 3x^2 + 6x + 10

I hope I could help :)

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2 years ago

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A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?

morpeh [17]

Answer:

The other end point is: s+ti = 3+9i

Step-by-step explanation:

Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the average of the numbers at the endpoints.

It is given by: $M = \frac{a+s}{2} +(\frac{b+t}{2})i$

Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i

Find the other endpoints.

Let a + bi = -5 -7i and let other endpoint s + ti (i represents imaginary )

Here, a = -5 and b = -7 to find s and t.

then;

$-1+i = \frac{-5+s}{2} + ( \frac{-7+t}{2})i$ [Apply Mid-point formula]

On comparing both sides

we get;

$-1 = \frac{-5+s}{2}$ and $1 = \frac{-7+t}{2}$

To solve for s:

$-1 = \frac{-5+s}{2}$

-2 = -5+s

Add 5 to both side we have;

-2+5 = -5+s+5

Simplify:

3 = s or

s =3

Now, to solve for t;

$1 = \frac{-7+t}{2}$

2 =-7+t

Add 7 to both sides we get;

2+7 = -7+t+7

Simplify:

9 = t

t =9

Therefore, the other end point (s+ti) is, 3+9i

4 0

2 years ago

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HELP PLEASE 21 POINTS PLEASE HELP ME!!!! <3

Anna007 [38]

n 1 2 3 4 5 6

f(n) 1033 932 831 730 629 528

First term (a₁): 1033 Common difference (d): -101

Explicit rule: $a_{n} = 1134 - 101n$ Recursive rule: $a_{n} = a_{n-1} - 101$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 1033 - 101(n - 1)$

$a_{n} = 1033 - 101n + 101$

$a_{n} = 1134 - 101n$

***********************************************************************************

n 1 2 3 4 5 6

f(n) -39 -29 -19 -9 9 19

First term (a₁): -39 Common difference (d): +10

Explicit rule: $a_{n} = -49 + 10n$ Recursive rule: $a_{n} = a_{n-1} + 10$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = -39 + 10(n - 1)$

$a_{n} = -39 + 10n - 10$

$a_{n} = -49 + 10n$

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n 1 2 3 4 5 6

f(n) 3.75 2.5 1.25 0 -1.25 -2.5

First term (a₁): 3.75 Common difference (d): -1.25

Explicit rule: $a_{n} = 5 - 1.25n$ Recursive rule: $a_{n} = a_{n-1} - 1.25$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 3.75 - 1.25(n - 1)$

$a_{n} = 3.75 - 1.25n + 1.25$

$a_{n} = 5 - 1.25n$

6 0

2 years ago

This one too, again if you dunno it don’t anwser xd

Kobotan [32]

Answer:11

Step-by-step explanation: think about 5+6 then when you add 11 to the -5 you get 6.

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2 years ago

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3. Find the height of a cylinder of volume 200 cm3 and radius 4 cm.

Mrrafil [7]

Answer:

h≈3.98cm this is the answer please mark me as a brainlist

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1 year ago

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