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
IRISSAK [1]
3 years ago
11

Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price

of all the plates then became $8. What was the total number of plates Mrs Lim bought in all?​
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:  6

<u>Step-by-step explanation:</u>

Let x represent the number of plates bought for $6

Let y represent the Total number of plates bought = x + 1

<em>Remember that Mrs. Lim bought another plate for $18</em>

Total cost ÷ Total plates = Average Cost

\dfrac{6x+18}{x+1}=8\\

6x + 18 = 8(x + 1)

6x + 18 = 8x + 8

       18 = 2x + 8

       10 = 2x

        5 = x

y = x + 1

  = 5 + 1

  = 6

You might be interested in
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291

Hence, the probability of 12 or fewer is 0.8291

b. The  probability that 5 or more fish were caught.

#Using normal approximation:

P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above P(X\geq 5)=0.9968 and a ,P(X\leq 12)=0.7291

P(5\leq X\leq 120\approx P(4.5\leq Y\leq  12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259

Hence, the probability of between 5 and 12 is 0.7259

4 0
3 years ago
I need help with problem 7
Aleks04 [339]

Answer: The triangles are not congruent

Step-by-step explanation:

Because the two triangles have 3 congruent angles, and AAA is not a triangle congruency theorem or postulate, the triangles are not congruent.

I hope this helps!

6 0
2 years ago
Read 2 more answers
I NEED HELP ASAP Find the area of this isosceles trapezoid.
krek1111 [17]

Answer:

formula is

((a+b)/2)*h(height)

a and b - parallel sides

so answer is

15+23= 38

38/2 = 19

19* 9 = 171

8 0
4 years ago
Solve y= x -3 and 2y = 3x -8
ch4aika [34]
Y = x -3 
2y = 3x - 8

2(x - 3) = 3x - 8
2x - 6 = 3x -8
-2x       -2x

-6 = x - 8
+8     +8

2 = x

to find y you plug x in an equation

y= x - 3 
y = 2 - 3
y = -1
5 0
3 years ago
Read 2 more answers
at a restaurant Jacob and his five friends decided to divide the bill evenly if each person paid $19. What was the total bill?
frez [133]

Hello there! Your answer would be: the total bill was was $114.


Okay, so to solve this multiply the individual person's amount by the number of people there. Note that the equation says "Jacob and 5 friends" indicating that Jacob is one of these people, and there are 5 others, so we have 6 in total.  


$19 x 6 = $114


So, the total bill was was $114. I hope this helped, and have a great rest of your day! :)



4 0
3 years ago
Other questions:
  • What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio
    13·1 answer
  • Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did
    5·1 answer
  • II. Using Radians to Measure Arcs and Angles
    15·1 answer
  • What is the length of side AD?. . . 6 cm. 8.5 cm. 10.4 cm. 12 cm
    10·2 answers
  • Find the missing terms in the following geometric sequence. 12,_,_,324
    11·2 answers
  • What is 13x-8 less than or equal to -32 simplified?
    15·2 answers
  • Example 1
    11·1 answer
  • Convert the angle – 1.5 radians to degrees, rounding to the nearest ioth.
    10·1 answer
  • Suppose the function shown below was expressed in standard form, v = a * x ^ 2 + bx + c What is the value of a?
    5·2 answers
  • What is re equation of the following line ? Be sure to scroll down first to see all answers options . (-4.8) (0,0)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!