5. Mr. Franklin needs to purchase 60 AA batteries. A nearby store sells a 20-pack of AA batteries for $12.49 and a 12-pack of the same batteries for $7.20. Would it be less expensive for Mr. Franklin to purchase the batteries in 20-packs or 12-packs? What is the difference between the costs of one battery from each pack?

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

A nearby store sells a 20-pack of AA batteries for $12.49. Therefore, the cost of 1 pack will be:

= $12.49 / 20

= $0.6245

The store also sells a 12-pack of the same batteries for $7.20. The cost per pack will be:

= $7.20 / 12

= $0.6

Therefore, it will be less expensive for Mr. Franklin to purchase the batteries in 12 packs.

The difference between the costs of one battery from each pack will be:

= $0.6245 - $0.60

= $0.0245

Answer 2

Answer:

$0.0245

Step-by-step explanation:


Related Questions

Cassie is having a party at a restaurant with 5 of her friends. The group's total bill, in dollars, can be represented as the integer -93.

Part A
Explain the meaning of the quotient −936 in terms of Cassie's situation. Include the value of the quotient.

Part B
Cassie states that −936 is equivalent to −936. Is she correct? Explain your answer.

Answers

The meaning of the quotient −936 in terms of Cassie's situation is that the total the total bill is 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct.

How to illustrate the information

It should be noted that it was stated that Cassie is having a party at a restaurant with 5 of her friends and the group's total bill, in dollars, can be represented as the integer -936.

Therefore, it should be noted that the total bill will be:

= 936 × 6

= 5616

It should be noted that Cassie states that −936 is equivalent to −936. This is correct

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Given: AB || DC, AB CD
DA
Prove: ABC CDA

Answers

1. AB II DC (given)
2. 3. 4. AB =~ CD (given)
5. ^ABC =~ ^CDA (ASA)

Item 3
POSSIBLE POINTS: 1
Solve for x in the given isosceles triangle.

(Hint: You will not need to use all three sides!)



x =

Answers

Answer: 44.5

Hope this helps :)

this property says you can rewrite 3x(4+5) as (3x4) + (3x5)

Answers

distributive property
Step-by-step explanation:
Distributive property says that x(y + z) = (x*y) + (x *z)

A rive is 10 ft wide.Two boats start to move towards each other from opposite river banks.In one minute the first boat goes 2 feet and the second one goes 1 foot.What would be the distance between the boats after 1 minute?

Answers

Answer:

The distance between the boats after 1 minute is 17 ft

Step-by-step explanation:

Here, we want to calculate the distance between the boats after 1 minute

The distance covered by the first boat after 1 minute is 2 feet while for the second it is 1 foot

So for the first boat, it has 8 ft ahead, for the second boat, it has 9 ft ahead

So the distance between the two after 1 minute will be 9 ft + 8 ft = 17 ft

Reciprocal for 14/16

Answers

Answer:

ghg

Step-by-step explanation:

ghhg

Answer:

The reciprocal is 16/14

There are 52 cards in a standard deck: 13 hearts, 13 clubs, 13 diamonds , and 13 spades. Timothy draws four cards at random from the deck, one of each suit. If he draws again , without replacing the four he drew, what is the probability that the next card is a heart

Answers

Answer:

[tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

Total number of cards in a standard deck = 52

Number of hearts in the deck = 13

Number of clubs in the deck = 13

Number of diamonds in the deck = 13

Number of spades in the deck = 13

Four cards are drawn at random by Timothy.

These four cards are drawn from each one of the suits.

And the cards are not replaced.

Therefore, now cards remaining in each suit:

Remaining number of hearts in the deck = 12

Remaining number of clubs in the deck = 12

Remaining number of diamonds in the deck = 12

Remaining number of spades in the deck = 12

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases are 12 (i.e. number of hearts)

Total number of cases = 12 [tex]\times[/tex] 4 = 48

Therefore, the required probability is:

[tex]\dfrac{12}{48} = \bold{\dfrac{1}4}[/tex]

Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line

Answers

Answer:

The equation in slope-intercept form will be:

y = -2x + 14

Step-by-step explanation:

Given

slope = m = -2point (5, 4)

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope of the line and b is the y-intercept

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14  in the slope-intercept form to get the equation in slope-intercept

y = mx+b

y = -2x + 14

Therefore, the equation in slope-intercept form will be:

y = -2x + 14

Just need the answer:) will give 5 star review:))

Answers

Answer:

n=5

Step-by-step explanation: happy to hlp

Xavier starts 5 feet away from a motion detector. He then walks away from the detector at a rate of 0.5 ft/sec for 4 seconds. He remains still for 2 seconds, and then walks toward the detector at a rate of −2 ft/sec for 3 seconds. How far in feet is Xavier from the motion detector when he finishes his walk?

Answers

Answer:

1 foot away from motion detector

Step-by-step explanation:

Given that:

Initial Position = 5 feets away from detector

Distance moved away = 0.5ft/sec for 4 seconds ; distance moved away = 0.5 * 4 = 2 feets

Total distance away = 5 feets + 2 feets = 7 feets

Distance moved towards motion detector :

-2 ft/sec for 3 seconds ;

Distance = speed * time

Distance moved = (-2ft/sec * 3) = - 6 feets

Hence, distance in feets from motion detector :

7 feets - 6feets = 1 feet away from motion detector

The sum of two numbers is 10. The difference is 2.
Find the two numbers by creating a system of equations for the situation.
Then, graph each linear equation.
HELP

Answers

Answer:

x+y=10

+-y=2

Step-by-step explanation:

Use elimination to cancel out the y then continue to solve

for every positive integer $ k $ that divides the order of g, there exists a subgroup $ h $ of $ g $ of order $ k $.

Answers

The proof of every positive integer k that divides the order of g, there exists a subgroup h of g of order k is shown below:

What is Subgroup?

A subgroup is a group nested inside another group. The subgroup test is used on subsets of a group to determine if they are subgroups. A proper subgroup is a subgroup that does not contain all of the original group, while a trivial subgroup contains only the identity.

Suppose k ∣ g ⟹n=dk:

If h(g)=⟨g⟩ is cyclic then

clearly K:=|⟨g^d⟩|=k .

Suppose now we have

1≠H≤h(g),

|H|=k and

let r>0 be the minimal natural number s.t.

g^r ∈ H , then

1=(g ^ r)^k = g^(r k)

⟹n ∣ r k ⟹ r k=ns =d ks ⟹ r= ds ⟹ s ∣ d

and from here we have

g^ r=(g^ d)^ s ∈K

Also,  |H|=||K|

we get equality and thus uniqueness of K.

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Which symbol represents "and" in a truth table?

Answers

Answer:

The symbol that is used to represent the AND or logical conjunction operator is ∧. It looks like an inverted letter V. If we have two simple statements P and Q, and we want to form a compound statement joined by the AND operator, we can write it as: P ∧ Q \large{P \wedge Q} P∧Q.

Step-by-step explanation:

Answer:

the answer is ^

Step-by-step explanation:

i just took the test

Ms. De la rosa wants to make a homemade slime solution to play with her friends A slime recepie she found requiers 5/3 of war water for every 1/3 cups of glue if she has 2/4 cup of soap how many cups of warm water will she need

Answers

Answer:

5/2 cups of warm water

Step-by-step explanation:

Recipe for homemade slime solution

Warm water : cups of soap

5/3 : 1/3

if she has 2/4 cup of soap how many cups of warm water will she need

Let

x = cups of warm water she will need

Warm water : cups of soap

x : 2/4

Equate the two ratios

5/3 : 1/3 = x : 2/4

5/3 ÷ 1/3 = x ÷ 2/4

Cross product

5/3 * 3/1 = x * 4/2

15/3 = x * 2

5 = 2x

Divide both sides by 2

x = 5/2 cups

She will need 5/2 cups of warm water

.. pls help me....!!!!! Determine whether the point (-2,4) satisfy y<3x+5,y=3x+5 or y >3x+5..​

Answers

Answer:

y < 3x + 5: No

y = 3x + 5: No

y > 3x + 5: Yes

Step-by-step explanation:

You can just put the value of x which is (-2) into each equation to see if the y value would be 4.

y < 3x + 5

y < 3(-2) + 5

y < -6 + 5

4 < -1 (This equation is wrong, so the point does not satisfy this equation)

y = 3x + 5

y = 3(-2) + 5

y = -6 + 5

4 = -1 (This equation is wrong, so the point does not satisfy this equation)

y > 3x + 5

y > 3(-2) + 5

y > -6 + 5

4 > -1 (This equation is correct, so the point does satisfy the equation)

DUE SOON PLEASE HELP!!!!!!

Answers

Answer: B

So the question is asking when it will be the same amount of water, which means we are dealing with an EQUAL sign because they want to know when it’s the SAME. So, we look at the equation again and it’s saying that the 4.5 gallon tub is gaining water, and the 7 gallon tub is losing water. Because C also has an equal sign, it isn’t the right choice because of the fact that the 7 gallon tub in that equation has a + sign instead of a - sign like B does.

If this helped I appreciate a ❤️ and 5 ⭐️

Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.

3y>2x=+12
2x+y≤-5

Answers

Answer:

We have the system:

3y>2x+12

2x+y≤-5

The first step will be to write the inequalities as lines:

y  > (2x + 12)/3

y ≤ -5  - 2 x

Now that the equations are written in slope-intercept form, we just need to draw the lines.

In the first case, we have the symbol ">", which means that the line will be a dashed line, and the shaded area will be above that line.

In the second equation we have the symbol "≤", this means that the line will be a solid line, and the shaded area will be below that line.

The graph of both inequalities is shown below. Where the solution to the system is the double shaded area.

Answer:

Thanks to Facundo doing all the work, all I did was plug in the numbers on a graphing calculator.  

Step-by-step explanation:

Using the graphing calculator, "y>(2x+12)/3" has points at (-6,0) and (0, 4) and isn't shaded because there isn't a line under the greater than/less than sign.

Using the graphing calculator again, we plug in the inequality "y≤-5-2x". This has points at (-5, 0) and (0, -5) and is shaded because there is a line under the greater than/less than sign. A picture of this is attached.

Again, thank you Facundo. Refer to his explanation to find out how to make the inequalities lines.

Please rate this to give me feedback if this kind of format is good for answering questions.

Find the value of x 105,160,110,105,115

Answers

Answer:

dzxfchgjvhkbjl

Step-by-step explanation:

The vertices of a polygon are shown below.

P(1, 3), Q(–2, 3), R(–4, 1),S(–4, –3), T(–2, –5), U(1, –5), V(3, –3),W(3, 1)

Which polygon has these vertices?
On a coordinate plane, 6 points are plotted and labeled hexagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 6 points are plotted and labeled octagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 8 points are plotted and labeled hexagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).
On a coordinate plane, 8 points are plotted and labeled octagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).

Answers

Answer:

The Answer is C

Step-by-step explanation:

This applies to your exam.

90% is 80% of what number

Answers

Answer:

72%

Step-by-step explanation:

90% of 80 is 72.

Therefor, 90% of 80% is 72%

Determine the value.
A)-2
B)2
C)
1/2
D)-1/2

Answers

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

means it is your as u know u are a ashile

what does this math sighn mea. plezzzzzz answer

Answers

Answer:

The symbol ∈ indicates set membership and means “is an element of” so that the statement x∈A means that x is an element of the set A.

Step-by-step explanation:

The graph of g(x) = 3|x|+ 4 maps a person’s path from their house to school, and their path from school to a friend’s house. At what point is the school located?

Answers

Answer:

I think the school is located at (0,4).

Step-by-step explanation:

I graphed the equation in my graphing calculator and it came up with a kind of v shaped graph. If you look at the question and see that we first house to school, that would probably mean from the left side of the graph to the center (0,4). Then we go from school to friend's house, so it must be from the center to the right side of the graph. Therefore, the school must be the y intercept (0,4) as that is the center of the graph.

whats the answer giving brainliest:D lol

Answers

Answer:

D. 60/10

Step-by-step explanation:

20 or 30 points-
I need help

Answers

Answer:

Step-by-step explanation:

03. as a percent is 30%

1.5% as a decimal is 0.75

3/4 x 80 is 60.

4 2/3 divided by 1/2 is 1.5...

Answer:

27 = 30%

28 = 0.15

29 = 60

30 = 14

Step-by-step explanation:

When you convert a decimal to a percentage, if it is set up with "0." in front, then just swap the number behind the decimal and put it in front of the zero and add a percentage sign. When converting a percentage to a decimal, you reverse the process. Then the others are simple multiplication and division! Remember, when you're dividing a fraction, use the process "KCP" (keep change flip) where you keep the first fraction in the equation, change the division sign to a multiplication sign, and flip the next fraction. (ex. 1/2 flipped to 2/1.) Then just multiply.

27-3+4 divided by 2•3 to the second power

Answers

Hey
Sorry if you get it wrong.


I got 28
27-3+4/(2•3)^2
28/36
14/18
7/9
7/9 is the answer i got


Nemo wrote two correct variable expressions to represent the phrase "the product
of a number and 7." Which variable expressions could Nemo have written?

Answers


7/2 ez ez ez ez ez ez ez

The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

We have,

Nemo could have written the following two correct variable expressions to represent the phrase "the product of a number and 7":

= 7x

In both expressions, "x" represents the unknown number, and the product of "x" and 7 is obtained by either multiplying "x" by 7 (7x) or by multiplying 7 by "x" (x * 7).

Both expressions are equivalent and correctly represent "the product of a number and 7."

Thus,

The variable expression Nemo could have written either "7x" or "x * 7" to represent "the product of a number and 7."

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need help solving [(-3)*(-2)⁹⁹-(-4)*(-2)⁹⁹]/2⁹⁶. I need a step by step guide too, please.

Answers

Answer:

-8

Step-by-step explanation:

 Exponentiation: (-2) ^ 99 = -6.3382530011411×1029

Multiple: -3 * the result of step No. 1 = -3 * (-6.3382530011411×1029 ) = 1.9014759003423×1030

Exponentiation: (-2) ^ 99 = -6.3382530011411×1029

Multiple: -4 * the result of step No. 3 = -4 * (-6.3382530011411×1029 ) = 2.5353012004565×1030

Subtract: the result of step No. 2 - the result of step No. 4 = 1.9014759003423×1030 - 2.5353012004565×1030 = 1.9014759003423×1030 - (2.5353012004565×1030 ) = -6.3382530011411×1029

Exponentiation: 2 ^ 96 = 7.9228162514264×1028

Divide: the result of step No. 5 / the result of step No. 6 = -6.3382530011411×1029 / 7.9228162514264×1028 = The answer -8

please mark me braliny

Tawnee is designing a playground in the shape of a rectangle. If Tawnee increases the length and width of the playground by a scale factor of 2
what will be the resulting effect on the perimeter of the new playground?
The perimeter of the new playground will be half the perimeter of the original playground
The perimeter of the new playground will be 1/4 the perimeter of the original playground
The perimeter of the new playground will be twice the perimeter of the original playground
O The perimeter of the new playground will be four times the perimeter of the original playground

Answers

Answer:

We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

Step-by-step explanation:

We know that the perimeter of a rectangle = 2(l+w)

i.e.

P = 2(l+w)

Here

'l' is the length'w' is the width

Given that the length and width of the playground by a scale factor of 2

A scale factor of 2 means we need to multiply both length and width by 2.

i.e

P = 2× 2(l+w)

P' = 2 (2(l+w))

    = 2P      ∵ P = 2(l+w)

Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

Answer:

I think it is the 3rd one The perimeter of the new playground will be twice the perimeter of the original playground

Step-by-step explanation:

give brainliest plz

Solve for x and y.
y = 2/3x - 2
y = -x + 3
O(-3,0)
O(0,-3)
O (3,0)
O (0,3)

Answers

Answer:

(3,0)

Step-by-step explanation:

y= 2/3x - 2 ... (1)

y= -x+3 ... (2)

First, change the equations into normal equation form

(1): - 2/3x + y= - 2

(2): x+y= 3

(1)×3: - 2x+3y= - 6 ... (3)

(2)×2: 2x+2y= 6 ... (4)

(3)+(4): 5y=0

y= 0

Substitute y=0 into any equation

Let's say, equation (2)

y= -x+3

0= -x+3

-3= -x

x= 3

(x,y)= (3,0)

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