You can buy a pack of 12 batteries
for $6. What is the unit price?

Answers

Answer 1

Answer:

Each battery costs .5 dollars or 50 cents

Step-by-step explanation:

6/12=.5

Answer 2

Answer:

total units 12

cost per unit $ 0.5000

Step-by-step explanation:

Hope this helps! :)


Related Questions

In 2001, a school population was 1696. By 2007 the population had grown to 2614.


1) How much did the population grow between the year 2001 and 2007?


students


2) How long did it take the population to grow from 1696 students to 2614 students?


years


3) What is the average population growth per year?



students/year



4) What was the population in the year 2000?


students


5) Find an equation for the population,

P

, of the school

t

years after 2000.


P

=



6) Using your equation, predict the population of the school in 2011.


students

Answers

Answer:

grew by 6

Step-by-step explanation:

A.Name a constant
B.Name the coefficients

Answers

Answer:

7 & 13 are constants

8 & 3 are coefficients

Step-by-step explanation:

What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(1/3x) + 6?

A. Stretched horizontally and shifted up
B. Stretched vertically and shifted right
C. Compressed vertically and shifted left
D. Compressed horizontally and shifted down

Answers

Answer:

A but im not sure

Step-by-step explanation:

How to solve this without calculator?
sin-1(2/3)

Answers

Answer:-0.560

Step-by-step explanation:

Evaluate 12x−3y when x=−14 and y=3.

Answers

Answer:

-177

Step-by-step explanation:

12(-14) -3(3)

-168-9

-177

Answer:

-177

Step-by-step explanation:

Plug in -14 for x and 3 for y:

12(-14) - 3(3)

Note that when you multiply a positive and a negative number, your answer will be negative.

Multiply:

12 * -14 = -168

-3 * 3 = -9

Combine the terms:

-168 + (-9) = -168 - 9 = -177

-177 is your answer.

~

In the figure, <6 and <2 are

Answers

Answer:

d

Step-by-step explanation:

consecutive angles aren't a thing and the others there would have to be an angle on the other side.

Describe the relationship between the point B (16, 24) and the point
B' (8, 12) in terms of dilations.
(x, y) → ()

Answers

Answer:

(x/2,(y/2)

Step-by-step explanation:

(16/2,24/2)

(8,12)

A worker at one farm is paid $486 for the week, plus $0.03 for every pound
of apples she picks. At another farm, a worker is paid $490 for the week, plus
$0.02 for every pound of apples. For how many pounds of apples are the workers
paid the same amount?

Answers

Answer:sorry this probably is t the most helpful but the closest i could get was 399 lbs. it’s is st$497.7 for one and $$497.8.

Step-by-step explanation:

write the number whose prime factorization is give: 2×2×2×7​

Answers

Answer:

56

Step-by-step explanation:

Multiply it out 2×2×2×7 = 56

56x + 40 = 48x + 104

Answers

Answer:

56x-48x=104-40

8x=24

X=3

Step-by-step explanation:

the answer is 8                      

]explanation subtract 56-48 and 104-40 you should get 8x=64

divide 8/8 and 64/8 and the answer is 8            

Multiply: -12y(y - 6) Enter the correct answer. ​

Answers

expand the brackets :
(-12y x y) -(-12y x -6)

= 12y^2 +72y

How do I solve for X?

Answers

Answer

50

Step-by-step explanation:

60 is supplementary to 120 so 60+70=130

and a triangle adds up to 180 so 180-130 would be 50

translation: 4 units left and 4 units up
J(−1, −2), A(−1, 0), N(3, −3)

Answers

Answer:

J(-5,2), A(-5,4), and N(-1,1)

Step-by-step explanation:

uestion 1:
Damon wants to sell his motorcycle that he paid $4,000 for 3 years ago. The motorcycle depreciated (decreased in value) at a constant rate each month over a 3-year period. If x represents the monthly depreciation amount, write an expression that shows how much Damon can sell his motorcycle for today.

Answers

Answer:

4,000 -x3

Step-by-step explanation:

x times 3 is equal to the decrease so therefore you take the decrease away form 4/oo

Answer:

3y-x=4,000

Step-by-step explanation:

Rico's T-shirt Company sells customized short sleeve T shirts, long sleeve T-shirts, and sweatshirts. Each type of shirt sells in multiples of 5. It costs $25.00 for 5 short sleeve T-shirts, $30,00 for 5 long sleeve T-shirts, and $40.00 for 5 sweatshirts Short sleeve and long sleeve T shirts can be made in any color except navy or black Sweatshirts are only made in navy and black.. Mercedes bought green shirts for $55.00.. Quinn bought 10 navy sweatshirts, Rachel paid $30.00 for several red shirts, Hector bought black and yellow shirts for $65.00. Use the axioms to make three conclusions about the shirts sold.​

Answers

Answer:

Hector purchased 5 black sweatshirts at $40, and 5 yellow short sleeve shirts at $25. He spent $65 in total.

Rachel purchased 5 red long sleeves shirts at $30.

Mercedes purchased 5 green short sleeve shirts at $25 and 5 long sleeve shirts at $30. She spent $55 in total.

Quinn purchased 10 navy sweatshirts and spent $80 in total.

If y is 20, what is x?

Answers

When y=20 , x is −5.

Answer:

Depends on the formula given

find the measures of angles 1, 2, and 3

Answers

Given :-

x = 33°

Then :-

m∠1 = 33° ( angle x and angle 1 are corresponding angles on a transversal )

Which means :-

m∠1 + m∠2 = 90° ( angle 1 and angle 2 are complementary angles )

33 + ∠2 = 90

∠2 = 90 - 33

m2 = 57°

Then :-

m1 + m∠3 = 180° ( angle 1 and angle 3 are a linear pair )

33 + ∠3 = 180°

∠3 = 180 - 32

m3 = 147°

Therefore , m∠1 = 33°m∠2 = 57° m∠3 = 147°

Each picture shows how a mapping, f, maps elements of a domain onto a range.
Which mapping, f, is NOT a function?
Domain
Range
Domain
Range
-6
2.
5
6 00
4
7
7
1
9
8
Domain
Range
Domain
Range
5
4
2
→8
7
2

Answers

Answer:

Top left

Step-by-step explanation:

If an x value (domain) leads to more than one y-value (range), it is not a function. In other words, if each input value leads to only one output value, it is a function. It's still a function if the y-value leads to multiple x-values.

The normal distribution An automobile battery manufacturer offers a 31/54 warranty on its batteries. The first number in the warranty code is the free-replacement period; the second number is the prorated-credit period. Under this warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charge to the consumer. If the battery fails after 31 months but within 54 months, the manufacturer provides a prorated credit toward the purchase of a new battery. The manufacturer assumes that x, the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months. Use the following Distributions tool to help you answer the questions that follow. (Hint: When you adjust the parameters of a distribution, you must reposition the vertical line (or lines) for the correct areas to be displayed.)
1. If the manufacturer's assumptions are correct, it would reed to replace _______ of its batteries free.
2. The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect. A standard deviation of ____ results in a 1.07% replacement rate.
3. Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?

Answers

Answer:

1) if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.

2) a standard deviation of 6.0843 results in a 1.07% replacement rate

3) using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit

Step-by-step explanation:

based on the given data;

x will represent the random variable such that the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months

so

x → N( U = 45, ∝ = 5.6)

Under the warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charges to the consumer.

if the battery fails after 31 months but within 54 months, the manufacturer provides a prostrated credit towards the purchase of anew battery

1) If the manufacturer's assumptions are correct,

p(x < 3) = p( [x-u / ∝ ] < [ 31-45 / 5.6] )

= p( z < -2.5 )

using the standard normal table,

value of z = 0.0062 ≈ 0.62%

so if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.

2)

The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect, so a standard deviation of ? results in a 1.07%

so lets say;

p ( x < 31 ) = ( 1.07%) = 0.0107

p ( [x-u / ∝ ] < [ 31-45 / ∝] ) = 0.0107

now from the standard table

-2.301 is 1.07%

so

( 31 - 45 / ∝ ) = -2.301

-14 / ∝ = -2.301

∝ = -14 / - 2.301

∝ = 6.0843

therefore a standard deviation of 6.0843 results in a 1.07% replacement rate

3)

Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?

p( 31 < x < 54 ) = p ( [31 - u / ∝ ] < [ x-u / ∝]  < [ 54 - 45 / ∝] )

= p ( [31 - 45 / 6.0843 ] < [ x-u / ∝]  < [ 54 - 45 / 6.0843] )

= p ( -2.301 < z < 1.4792 )

= p(Z < 1.5) - p(Z < -2.3)

= 0.9393 - 0.0108

= 0.919 ≈ 91.9%

therefore using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit

I am even. The sum of my digits is sixteen. Who am I?

Answers

Answer:

2, 4, 6, 8, 10, 12, 14

Step-by-step explanation:

8+8=16

6+10=16

4+12=16

2+14=16

State whether the given pair of sets are equal, equivalent, both, or neither. {0,9}; {8, 1)​

Answers

Answer:

Equivalent

Step-by-step explanation:

A set is a well defined collection of objects.

Two sets are said to be equal if they have the same elements.

Two sets are said to be equivalent if they have the same number of elements.

Given sets are [tex]\{0,9\}\,,\,\{8,1\}[/tex]

These sets are not equal as both the sets have different elements.

Order of both the sets is 2 (number of elements in both sets is 2)

So,

these two sets are equivalent.

Which proportion can be used to show that the slope of JL is equal to the slope of MP? (sorry for the horrible quality)

Answers

Answer:

The proportion can be used to show that the slope of JL is equal to the slope of MP is  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]  ⇒ G

Step-by-step explanation:

The rule of the slope of a line is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where (x1, y1) and (x2, y2) are two points on the line

∵ The coordinates of the point J are (-7, 4)

∵ The coordinates of the point L are (-4, 0)

x1 = -7 and y1 = 4

x2 = -4 and y2 = 0

→ Substitute them in the rule above to find the slope of LJ

∴ [tex]m_{JL}=\frac{0-4}{-4-(-7)}[/tex]

∵ The coordinates of the point M are (-10, 8)

∵ The coordinates of the point P are (-1, -4)

x1 = -10 and y1 = 8

x2 = -1 and y2 = -4

→ Substitute them in the rule above to find the slope of MP

∴ [tex]m_{MP}=\frac{-4-8}{-1-(-10)}[/tex]

∵ The slope of JL = the slope of MP

∴  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]

The proportion can be used to show that the slope of JL is equal to the slope of MP is  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]



LUCILLE'S PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR. How many pencils will fit in her pouch
HOW MANY PENCILS WILL FIT IN HER POUCH?

Answers

Answer:

The pouch would be able to hold 12.8 pencils :)

Step-by-step explanation:

because 3/8 is 37.5 and if you do that divided by 48 and add a decimal infront of the eight you will get your answer

please help

Which values of k would cause this system of equations to have no solution? Check all that apply.
6x + 4y = 14,
3x + 2y = k

-2
5
7
10
21

Answers

Have you gotten the answer yet

Answer:

a , b , d , e

Step-by-step explanation:

One package of blackberries costs $3. How many packages of blackberries can you buy for $15?

Answers

Answer:

5 packages

Step-by-step explanation:

One package of blackberries cost $3

Let x represent the number of packages that will cost $15

1 = $3

x= $15

3x= 15

Divide both sides by the coefficient of x which is 3

3x= 15/3

x= 5

Hence 5 packages of blackberries will cost $15

which numerical pattern in nonlinear?
A. 3, 11, 19, 27,
B. 1, 3, 9, 27
C. 1, 4, 7, 10,
D. 2, 3, 4, 5

Answers

Answer:

I am going with B.1,3,9,27

Step-by-step explanation:

A,C and D the patterns are from addition ie. A +8, C+3 and D +1 but B it's ×3

An oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 25 barrels per day.

Required:
How many additional wells should be drilled to obtain the maximum amount of oil per day?

Answers

Answer:

The additional wells for maximum amount of oil per day is 3 wells.

Step-by-step explanation:

Given;

initial number of wells, n = 6

total production, T = 1800

average production per well, = 1800/6 = 300 barrels per day

Let the additional well = y

total number of wells after optimization = 6 + y

new production per well = 300 - 25y

new total production = (6+y)(300-25y)

t = 1800 - 150y + 300y - 25y²

t = 1800 + 150y - 25y²

dt / dy = 150 -50y

for maximum value, dt/dy = 0

150 - 50y = 0

50y = 150

y = 150 / 50

y = 3

Therefore, the additional wells for maximum amount of oil per day is 3 wells.

33 additional wells should be drilled, reaching 39 wells, to obtain the maximum amount of oil per day.

Given that an oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day, and for each additional well that is drilled, the average production per well decreases by 25 barrels per day, to determine how many additional wells should be drilled to to obtain the maximum amount of oil per day, the following calculation must be performed:

1800 x 6 = 10800 1200 x 30 = 36000 1000 x 38 = 38000 950 x 40 = 38000 900 x 42 = 37800 975 x 39 = 38025

Therefore, 33 additional wells should be drilled, reaching 39 wells, to obtain the maximum amount of oil per day.

Learn more in https://brainly.com/question/13581736

6 ≤ -3x + 12
can somone solve this for me *correctly* ill give u brainlest only if ur right

Answers

Answer:

x ≤ 2

Step-by-step explanation:

-3x+12≥6

-3x≥6

3x≤6

x ≤ 2

Answer:

x ≤ 2 is the correct answer!

Step-by-step explanation:

Hope this helps!

Find the slope of the line
graphed below.

Answers

Answer:

[tex]\frac{3}{5}[/tex] or 0.6

Step-by-step explanation:

This problem requires the slop formula which is [tex]\frac{y2-y1}{x2-x1}[/tex]

You start with the first point which is (-1,1). This will be x1 and y1.

The next point is (4,4). This will be x2 and y2.

You plug these values into your equation which gives you [tex]\frac{4-1}{4-(-1)}[/tex]

To solve, you evaluate, [tex]\frac{4-1}{4-(-1)}[/tex]  = [tex]\frac{3}{5}[/tex] or 0.6

Construct a table of values for the following functions using the integers from -4 to 4.
a. F(x)=6/x-2
b. r(x)=6x+12/x^-4

Answers

Step-by-step explanation:

Find the table attached

a) Given

F(x) = 6/x-2

When x = -4

F(-4) = 6/-4-2

F(-4) = 6/-6

F(-4) = -1

F(x) = 6/x-2

When x = -3

F(-3) = 6/-3-2

F(-3) = 6/-5

F(-3) = -1.2

F(x) = 6/x-2

When x = -2

F(-2) = 6/-2-2

F(-2) = 6/-4

F(-2) = -1.5

F(x) = 6/x-2

When x = -1

F(-1) = 6/-1-2

F(-1) = 6/-3

F(-1) = -2.0

F(x) = 6/x-2

When x = 0

F(0) = 6/0-2

F(0) = 6/-2

F(0) = -3

F(x) = 6/x-2

When x = 1

F(1) = 6/1-2

F(1) = 6/-1

F(1) = -6

F(x) = 6/x-2

When x = 2

F(2) = 6/2-2

F(2) = 6/0

F(2) = infty

F(x) = 6/x-2

When x = 3

F(3) = 6/3-2

F(3) = 6/1

F(3) = 6

F(x) = 6/x-2

When x = 4

F(4) = 6/4-2

F(4) = 6/2

F(4) = 3

b) Given

r(x)=6x+12/x^-4

When x = -4

r(-4) = 6(-4)+12/(-4)^-4

r(-4) = -24+12/(1/256)

r(-4) = -12(256)

r(-4) = -3072

When x = -3

r(-3) = 6(-3)+12/(-3)^-4

r(-3) = -18+12/(1/81)

r(-3) = -6(81)

r(-3) = -486

When x = -2

r(-2) = 6(-2)+12/(-2)^-4

r(-2) = -12+12/(1/16)

r(-2) = -0(16)

r(-2) = 0

When x = -1

r(-1) = 6(-1)+12/(-1)^-4

r(-1) = -6+12/(1)

r(-1) = -6+12

r(-1) = 6

When x = 0

r(0) = 6(0)+12/(0)^-4

r(0) = 0+12/0

r(0) = 12/0

r(0) = infty

When x = 1

r(1) = 6(1)+12/(1)^-4

r(1) = 6+12/1

r(1) = 18(1)

r(1) = 18

When x = 2

r(2) = 6(2)+12/(2)^-4

r(2) = 12+12/1/16

r(2) = 24(16)

r(2) = 384

When x = 3

r(3) = 6(3)+12/(3)^-4

r(3) = 18+12/1/81

r(3) = 30(81)

r(3) = 2430

When x = 4

r(4) = 6(4)+12/(4)^-4

r(4) = 24+12/1/256

r(4) = 36(256)

r(4) = 9216

We want to construct tables of values for the two given functions.

The tables are:

a)

[tex]\left[\begin{array}{ccc}x&y\\-4&-7/2\\-3&-4\\-2&-5\\-1&-8\\0&NaN\\1&4\\2&1\\3&0\\4&-1/2\end{array}\right][/tex]

b)

[tex]\left[\begin{array}{ccc}x&y\\-4&3,048\\-3&954\\-2&180\\-1&6\\0&0\\1&18\\2&204\\3&990\\4&3,096\end{array}\right][/tex]

A table will be something like:

[tex]\left[\begin{array}{ccc}x&y\\-4&\\-3&\\-2&\\-1&\\0&\\1&\\2&\\3&\\4&\end{array}\right][/tex]

Where the values of x go from -4 to 4.

To complete the tables, we just need to evaluate the functions in each one of the x-values at the left, and the outcome will be placed at the right.

a) f(x) = 6/x - 2

Now we just need to evaluate the function in all the given points:

f(-4) = 6/(-4) - 2 =  -3/2 - 4/2 = -7/2

f(-3) = 6/-3 - 2 = -4

f(-2) = 6/-2 - 2 = -5

f(-1) = 6/-1 - 2 = -8

f(0) is undefined, as we can't divide by zero, here we can write NaN (Not a number).

f(1) = 6/1 - 2 = 4

f(2) = 6/2 - 2 = 1

f(3) = 6/3 - 2 = 0

f(4) = 6/4 - 2 = -1/2

Now we put all of these in the correspondent place of the table:

[tex]\left[\begin{array}{ccc}x&y\\-4&-7/2\\-3&-4\\-2&-5\\-1&-8\\0&NaN\\1&4\\2&1\\3&0\\4&-1/2\end{array}\right][/tex]

b) We do the same thing, here we have:

r(x) = 6*x + 12/x^-4 = 6*x + 12*x^4

Now we evaluate this in the given values:

r(-4) = 6*(-4) + 12*(-4)^4 = 3,048

r(3) = 6*(-3) + 12*(-3)^4 = 954

r(-2) = 6*(-2) + 12*(-2)^4 = 180

r(-1) = 6*(-1) + 12*(-1)^4 = 6

r(0) = 6*0 + 120^4 = 0

r(1) = 6*1 + 12*1^4 = 18

r(2) = 6*2 + 12*2^4 = 204

r(3) = 6*3 + 12*3^4 = 990

r(4) = 6*4 + 12*4^4 = 3,096

Now we place these values in the correspondent place on the table:

[tex]\left[\begin{array}{ccc}x&y\\-4&3,048\\-3&954\\-2&180\\-1&6\\0&0\\1&18\\2&204\\3&990\\4&3,096\end{array}\right][/tex]

These are our two tables.

If you want to learn more, you can read.

https://brainly.com/question/8629807

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