1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna71 [15]
3 years ago
12

A) A pack of 8 batteries cost £3.99 how much dose each battery cost? ( give your answer in penny ?) ____________________________

____B) A pack of 6 batteries of the same type costs 2.79. By calbattery determine if this is a better value. You must show your working out?
Mathematics
2 answers:
just olya [345]3 years ago
6 0

Answer:

A). 50 penny

B) This type of battery is cost effective.

Step-by-step explanation:

A) A pack of 8 batteries cost 3.99 pounds so one battery will cost = 3.99/8 = 0.499 pound

Since 1 pound = 100 penny

So 0.499 pound = 100×0.499 = 50 penny

B). A pack of 6 batteries of the same type costs 2.79 pounds

So one battery will cost = 2.79/6 = 0.465 pound  or 47 penny

Now we say that type A batteries are costlier than B. Therefore B type batteries are of a better value.

Igoryamba3 years ago
3 0

Answer:

A) about 50 cents

B) about 47 cents; the 6-pack is better

Step-by-step explanation:

Since 8 batteries cost a total of £3.99, say each one costs x. Then:

x + x + x + x + x + x + x + x = 3.99

8x = 3.99

Divide both sides by 8:

x = 3.99/8 = 0.499 ≈ 50 cents

So each battery in this 8-pack costs about 50 cents.

Now take a look at the 6-pack. Suppose each battery in there costs y.  Then:

y + y + y + y + y + y = 2.79

6y = 2.79

Divide both sides by 6:

y = 2.79/6 = 0.465 ≈ 47 cents

Clearly, we can see that the batteries in the 6-pack set cost less than the batteries in the 8-pack set, so the better value would be buying the pack of 6 batteries.

<em>~ an aesthetics lover</em>

You might be interested in
What is the ratio 15 to 35 written as a fraction in lowest terms? 13 37 35 57
zimovet [89]

Answer:

Step-by-step explanation:

15:35 should be 3/7

7 0
3 years ago
Evaluate the sum of the following finite geometric series.
rjkz [21]

Answer:

\large\boxed{\dfrac{156}{125}\approx1.2}

Step-by-step explanation:

<h3>Method 1:</h3>

\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\\\\for\ n=1\\\\\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1\\\\for\ n=2\\\\\left(\dfrac{1}{5}\right)^{2-1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}\\\\for\ n=3\\\\\left(\dfrac{1}{5}\right)^{3-1}=\left(\dfrac{1}{5}\right)^2=\dfrac{1}{25}\\\\for\ n=4\\\\\left(\dfrac{1}{5}\right)^{4-1}=\left(\dfrac{1}{5}\right)^3=\dfrac{1}{125}

\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}=1+\dfrac{1}{5}+\dfrac{1}{25}+\dfrac{1}{125}=\dfrac{125}{125}+\dfrac{25}{125}+\dfrac{5}{125}+\dfrac{1}{125}=\dfrac{156}{125}

<h3>Method 2:</h3>

\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\to a_n=\left(\dfrac{1}{5}\right)^{n-1}\\\\\text{The formula of a sum of terms of a geometric series:}\\\\S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\r-\text{common ratio}\to r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=\left(\dfrac{1}{5}\right)^{n+1-1}=\left(\dfrac{1}{5}\right)^n\\\\r=\dfrac{\left(\frac{1}{5}\right)^n}{\left(\frac{1}{5}\right)^{n-1}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\r=\left(\dfrac{1}{5}\right)^{n-(n-1)}=\left(\dfrac{1}{5}\right)^{n-n+1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}

a_1=\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1

\text{Substitute}\ a_1=1,\ n=4,\ r=\dfrac{1}{5}:\\\\S_4=1\cdot\dfrac{1-\left(\frac{1}{5}\right)^4}{1-\frac{1}{5}}=\dfrac{1-\frac{1}{625}}{\frac{4}{5}}=\dfrac{624}{625}\cdot\dfrac{5}{4}=\dfrac{156}{125}

5 0
3 years ago
a 16 inch wire is to be cut. one piece is to be bent into the shape of a​ square, whereas the other piece is to be bent into the
Lyrx [107]
1. Let x be a length of square side, then the square perimeter is 4x (you need to cut 4x from 16 in. to make a square with side x in.). Then 16-4x is remained length of wire and you have to make form this piece a rectangle with sides one of which is twice bigger than another. If y is length of the smaller side, then 2y is length of the bigger side and rectangle perimeter is y+2y+y+2y=6y. You have 16-4x in. of wire left, so 6y=16-4x and y= \frac{16-4x}{6}.

2.
 A_{square}=x^2 \\ A_{rectangle}=y\cdot 2y=\frac{16-4x}{6}\cdot2\cdot\frac{16-4x}{6}= \frac{(16-4x)^2}{18}  \\ A(x)=A_{square}+A_{rectangle}=x^2+\frac{(16-4x)^2}{18}.

3. Find the derivative of the function A(x): 
A'(x)=2x+ \dfrac{2(16-4x)\cdot(-4)}{18} =2x- \dfrac{4(16-4x )}{9}.

4. Solve the equation A'(x)=0: 
2x- \dfrac{4(16-4x )}{9}=0 \\ 18x-64+16x=0 \\ 34x=64 \\ x= \frac{32}{17}

5. Since y= \frac{16-4x}{6} you have

y= \dfrac{16-4 \frac{32}{17} }{6} = \dfrac{16\cdot17-4\cdot32}{6\cdot 17} = \dfrac{24}{17}.

Answer: <span>the width of the rectangle is \frac{24}{17}</span>




6 0
3 years ago
Solve equation<br> √-5x-3=6
kow [346]
Is that the Square root of -5x-3 or (square root of -5x) - 3 ??
3 0
3 years ago
How ling will it take you to drive 120 miles at a speed of 15 miles per hour?
Setler79 [48]
It will take you 8 hours
3 0
4 years ago
Other questions:
  • Whats the GCF of 38m and 26m sorry I suck at math:)
    12·1 answer
  • 4 1/8 inches to metric length
    15·1 answer
  • In a sample of people at the school dance 11 out of 15 were in favor of having the photo booth. If all 300 students were surveye
    10·1 answer
  • What is the image of (-5,5) after a dilation by a scale factor of 4 centered at the<br> origin?
    6·1 answer
  • 0.
    5·1 answer
  • WILL’s girls’ basketball team played lost 12 games which is 25% of the games they played for the season. How many games did they
    9·2 answers
  • Write the slope and y-intercept of this linear equation: 3y + 6 = –2x
    13·1 answer
  • Paisley invests money in an account paying a simple interest of 8.9% per year. If she invests $80 and no money will be added or
    12·1 answer
  • Find the missing value
    8·1 answer
  • how many different 3 digit numbers can be formed using the digits 9,3,4,7 and 6? assume no number can be used more than once
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!