Answer: It would be less expensive for Mr. Steiner to purchase the batteries in 12-packs.
Step-by-step explanation:
ii. The difference between the costs of one battery from each pack is $0.02 or 2 cents.
Step-by-step explanation:
A way to respond to these questions is as follows:
To purchase 60 AA batteries, we have to:
Buy 3 20-pack of AA batteries (since 3 * 20-pack = 60 batteries), or
Buy 5 12-pack of AA batteries (since 5 * 12-pack = 60 batteries).
We also know that a 20-pack costs $12.49 and a 12-pack costs $7.20.
Part 1: Which package is less expensive?
Case 1: How much does it cost 3 20-pack of AA batteries?
Three packages cost: 3 * $12.49 = $37.47
Case 2: How much does it cost 5 12-pack of AA batteries?
Five packages cost: 5 * $7.20 = $36.00
Then, it is less expensive for Mr. Steiner to purchase 5 12-packs batteries (which cost $36) than 3 20-packs batteries (which cost $37.47).
Part 2: Difference between the costs of one battery from each pack
The question we need to answer here is, how much does it cost one battery from each pack?
For this, we need to divide the total costs that we obtained in Part 1 by the total of batteries to be purchased, that is, 60.
Then, for Case 1, the cost of one battery for this purchase is:
[tex]\frac{37.47}{60battery} = \frac{0.62}{battery}[/tex] or 62 cents per battery.
For Case 2, the cost of one battery for this purchase is:
[tex]\frac{36.00}{60battery} =\frac{0.60}{battery}[/tex] or 60 cents per battery.
So, the difference between the costs of one battery from each pack is:
62 cents per battery - 60 cents per battery = 2 cents per battery.
Then, one battery from the 12-pack is less expensive than one battery from the 20-pack in 2 cents.
You can mark it as brainliest if you want.
Please help me with this homework
factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z
Part a)
Given the expression
[tex]54m^3n\:+\:81m^4n^2[/tex]
Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn[/tex] ∵ [tex]m^4n^2=m^3mnn[/tex]
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27
[tex]=2\cdot \:27m^3n+3\cdot \:27m^3mnn[/tex]
Factor out the common term: 27m³n
[tex]=27m^3n\left(2+3mn\right)[/tex]
Therefore,
[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)[/tex]
Part B)
Given the expression
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z[/tex]
Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z[/tex]
Rewrite as
[tex]=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z[/tex]
Factor out common term 5y²x²z
[tex]=5y^2x^2z\left(3y+5x+7\right)[/tex]
Therefore,
[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)[/tex]
In a rectangle FGHI, diagonals FH and GI intersect at E
What is the length of FH?
Answerdont know but good luk ;)
Step-by-step explanation:
PLS HURRY!!
Find the measure of each numbered angle in the rhombus.
Answer:
measure 2 equals 26 degrees because it's identical with it's opposite. measure 1 equals 180 minus the sum of 26 plus 26 which is 180 minus 52 which also is 128 degrees.
measures 5 and 3 are 26 degrees because theyre identical with their opposites. Angle 4 is 128 degrees which (u can probably tell) by it's opposite.
Answer:
sorry i suck at math
help pleaseeeeee !!!! i’ll give brainliest !
Answer:
34.83
Step-by-step explanation:
To solve this question, you need to use the equation a2+b2=c2.
The shorter side of this triange is a, and the longer side is b. 22x22=484, and 27x27=729. Add these together to get 1213. Press a button on your calculator that looks like √. Once you press it, you will recieve your answer.
Would the answer be 7c? If not can you help cuz im slow
Answer:
There is only six sixes, so that would be 6c.
Step-by-step explanation:
Solve for x
Solve for x
Solve for x
Solve for x
Step-by-step explanation:
Find the 3rd angle in the triangle, let's call it y
36 + 73 + y = 180
109 + y = 180
y= 71
y is equivalent to x by vertical angles theorem
x= 71
2nd way
Use exterior angles theorem
180 - (36+73) = x
180 - 109 = x
71 = x
I hope this helps!!!
Answer:
x= 71 is the correct answer
Smith Middle School has recycled a total of 283.45 pounds of plastic for the months of September and October. If the amount recycled in October was 130.7 pounds, which equation could be used to find the amount recycled, p, in September?
A) 283.45 + p = 130.7
B) 130.7 - p = 283.45
C) p + 130.7 = 283.45
D) p - 130.7 = 283.45
Answer:
answer is c
Step-by-step explanation
answer is c
Answer:
C is the answer
Brainliest are appreciated :DDD
Your subtotal at the store was $72.29. You have a 40% off coupon. If the sales tax rate is 9.5%, what is the total price for your shopping trip?
Answer:
31.93
Step-by-step explanation:
you prob just want the answer but here
1. Find 40% of 72.29 (29.16)
2. find 9.5% of 29.16 that would be $2.77
3. add $2.77 to 29.16
It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 90 miles? A.60 hours B.6 hours C.2 2/3 hours D. 1 1/2 hours
Answer:
D. 1 1/2 hours
Step-by-step explanation:
First, we need to find the unit rate to then multiply it by 90. to find the unit rate I did 240 miles divided by 4 hours to get 60 miles per hour. So we know we need at least 1 hour to get the 60 miles and to get 90 miles we need to add 30. Since 30 is half of 60 we can just take half of 1 hour which is 30 minutes. we add it together and get 1 hour and 30 minutes, or 1 hour and a half.
Time taken to cover 90 miles is 1.5 hours
Given that;Time taken to cover 240 miles = 4 hours
Find:Time taken to cover 90 miles
Computation:Time taken to cover 90 miles = [90 / 240]4
Time taken to cover 90 miles = [360 / 240]
Time taken to cover 90 miles = 1.5 hours
Learn more:https://brainly.com/question/13326890?referrer=searchResults
If the point (0, -3) lies in the solution set of an inequality, which of the following could be that inequality?
Answer:
a
Step-by-step explanation:
what is the ratio of 86 and 128
Answer:67.1875%
Step-by-step explanation:
Convert ratio into fraction 86 / 128
−9x+y= \,\,71 71 -x-y= −x−y= \,\,-1 −1 \mathbf{Add}\text{ to eliminate }\mathbf{y.}Add to eliminate y. \mathbf{Subtract}\text{ to eliminate }\mathbf{x.}Subtract to eliminate x. \mathbf{Subtract}\text{ to eliminate }\mathbf{y.}Subtract to eliminate y. \mathbf{Add}\text{ to eliminate }\mathbf{x.}Add to eliminate x.
Answer:
Add to eliminate y.Step-by-step explanation:
Given the equations
-9x + y = 71.... 1
-x - y = -1 .... 2
Using elimination method we can eliminate y first since they have the same coefficient.
To do that we will need to add up both equations. We are adding because the coefficient of y in both equations has different signs. If they have the same sign, we would have subtracted.
Hence the correct option in this case is to add to eliminate y.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
y=2x+4
Step-by-step explanation:
simplify
y=-2
x=0
If g(x) =4SQRx-8 , which statement is true?
A.
The y-intercept of g(x) is less than the y-intercept of f(x).
B.
The y-intercept of g(x) is equal to the y-intercept of f(x).
C.
The x-intercept of g(x) is equal to the x-intercept of f(x).
D.
The x-intercept of g(x) is greater than the x-intercept of f(x).
Answer:
(A).
Step-by-step explanation:
You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to the park? We write an equation that represents the percent white of the distance that still needs to be travel Dr. X minutes. And equation is Y = ______ it takes ______ minutes to bike to the park?
Answer:
[tex]y = (100-10x)\%[/tex]
It takes 10 minutes to the park.
Step-by-step explanation:
Given that:
Time taken = 6 minutes
Distance left to be traveled = 40%
To find:
The equation to represent the distance [tex]y[/tex], that still needs to be traveled after [tex]x[/tex] minutes.
Solution:
As per given statement, distance traveled in 6 minutes = 60%
We can say that:
Distance traveled each minute = [tex]\frac{60\%}{6}[/tex] = 10%
After 1 minute, distance traveled = 10%
Distance left = 100 - 10 = 90%
After 2 minutes, distance traveled = 20%
Distance left = 100 - 20 = 80%
After [tex]x[/tex] minutes, distance traveled = 10[tex]x[/tex]%
Distance left, [tex]y[/tex] = (100 - 10[tex]x[/tex])%
Therefore, the equation is:
[tex]y = (100-10x)\%[/tex]
Time taken by the bike to reach to the park can be found by putting [tex]y[/tex] = 0 (i.e. distance left to be traveled = 0)
[tex]0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}[/tex]
Mrs.Smith has two similiar recycling bins in her office. The dimension of the smaller bin can be found by dilating the dimension of the larger bin by scale factory of 0.75
Answer:
The dimension of the larger bin is x and the smaller bin is [tex]0.75x[/tex].
Step-by-step explanation:
Let the dimension of the larger bin is x.
It is given that the dimension of the smaller bin can be found by dilating the dimension of the larger bin by a scale factor of 0.75
In order to find the dimension of the smaller bin multiply the dimension of the larger bin by 0.75
[tex](x)(0.75)=0.75x[/tex]
Hence, the dimension of the larger bin is x and the smaller bin is [tex]0.75x[/tex].
Can someone please help me question b
Answer:
hi
Step-by-step explanation:
I think it's a triangular prism not sure
Step-by-step explanation:
It is triangular pyramid
Due soon will give brainliest
Answer:
B can I please get Brainliest
Step-by-step explanation:
Answer:
c. 4 cm, 6 cm, 10 cm
Step-by-step explanation:
To represent a right triangle, you would need to use the Pythagorean theorem to find out which one makes up a right triangle and which one doesn't. 6^2 and 8^2 together make up 100 or 10^2 in which A isn't your choice. 12^2 and 35^2 together make up 1369 or 37^2 in which B also isn't your choice. 10^2 and 24^2 together make up 676 or 26^2 in which D isn't your choice as well. The final option C makes up 7.21 when square rooted in which it is not represented by the side lengths of a right triangle.
Given: AD || BC and AD ≅ BC
Prove: AB || CD
here is your answer pls check the answer hope u can understand
1+1+13766969+736837737
1. 7-3x=34
2. x/2+1=9
3. -x-9=-2
4. 2x+10=-2
5. 5x-42=73
WHAT IS THE X IN THESE EQUATIONS NEED THEM ASAP
In a basketball game, Derick scored 3 points less than twice the number of points Logan scored. Logan scored 8 points. How many points did Derick score?
Answer:
13
Step-by-step explanation:
8x2=16 and 16-3=13
Which of the following is an example of a proportional equation? *
Answer:
the first one
Step-by-step explanation:
y=ex where k is constant of proportionallty
Please help me this is called Writing Equations
Answer:
it's answer is last option
42* 3 = B.
HELP DUE IN 30 MIN
A. none
B. r//s and l // m
C. l // m
D. r//s
Answer:
B
Step-by-step explanation:
rs and lm
Compare the integers, and write the integer with the greater value. -4, -1
Answer:
it should be 1-
Step-by-step explanation: -1 is closer to the zero and that makes it have a greater value than -4, -4 is farther that makes it less. I hope this helps.
Sara rolls a fair dice 114 times. How many times would sara expect to roll a five?
Answer:
19 times
Step-by-step explanation:
114:6=19
19.5=95
114-95=19
Answer:
1/6 times so about 19 times plz make brainliest
Step-by-step explanation:
It starts with an Li-
Correct answer will get brainliest. ;)
Answer:
I am gonna say linear probaly wrong but
Step-by-step explanation:
What is the measure of triangle X in degree
Answer:
A.) 40°
Step-by-step explanation:
A triangle is equal to 180°
Angle X and Y has the same angle, so both have 70°.
So:
70° × 2= 140°
To find the degree of the last angle, subtract the known degree, which is 140°, from the overall degree, which is 180°.
So:
180° - 140°= 40°
Answer= 40°
I hope this helps! :)