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
yuradex [85]
3 years ago
12

The dishes have been sorted into cups and plates. The number of plates is four less than two times the number of cups. The dishe

s are 60% plates. How many cups are there?
Mathematics
1 answer:
Nady [450]3 years ago
7 0

Answer:

The number of cups = 8 ....

Step-by-step explanation:

Let x be the number of cups

Let y be the number of plates

According to the given statement:

y=2x-4   This is equation 1

Now,

60% = 0.60

y=0.60(x+y)    This is equation 2

Now substitute equation 1 in equation 2.

y=0.60(x+y)

2x-4=0.60(x+2x-4)

2x-4=0.6x+1.2x-2.4

Solve the like terms:

2x-4=1.8x-2.4

2x-1.8x=4-2.4

0.2x=1.6

x=1.6/0.2

x= 8 cups

Therefore the number of cups = 8 ....

You might be interested in
The original price for a jacket was 124.95. It is on sale for 20% off. Witch of the following gives the best estimate of the sav
d1i1m1o1n [39]
20% of 124.95 is close to $125 so that is equal of 12.50 of 10% so multiply by 2 which is $25.00 so the estimate discount of the jacket will be $25.00
7 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!
Sonbull [250]
2x^2 - 7x - 6 = 0

x1 = \frac{- b  +  \sqrt{ {b}^{2} - 4ac }}{2a}
x2 = \frac{- b   -   \sqrt{ {b}^{2} - 4ac }}{2a}
where a=2
where b=-7
where c=-6

solve for x1 and x2

x1=4.21
x2=-0.71
6 0
3 years ago
6. [(69 - 9) + 23]4<br> how do u solve this
Andru [333]
Always do the parentheses first. In this case, there are two parentheses, so do the parentheses inside the other parentheses first. After that, it’s just simple addition, subtraction, and multiplication.

(69-9)= 60

(60+23)= 83

83x4= 332
8 0
3 years ago
Read 2 more answers
Hannah has $2 worth of dimes and quarters. She has a total of 17 dimes and quarters altogether. By following the steps below, de
sineoko [7]

Answer:

2 quarters and 15 dimes

Step-by-step explanation:

15 dimes = $1.50

2 quarters = $0.50

$1.50+$0.50=$2.00

4 0
3 years ago
How to tell if an ordered pair is a solution to a function
Evgen [1.6K]
A) yes
B) yes
C) no

For each of these, substitute the value of x in the ordered pair into x in the function.

For A, x = -5; -5<2, so the piece of the function we want is f(x) = 3.  In our ordered pair, y=f(x)=3, so yes, it is a solution.

For B, x = 2; 2≤2<6, so the piece of the function we want is f(x) = -x+1.  In our ordered pair, y=f(x)=-1; -2+1=-1, so yes, it is a solution.

For C, x = 8; 8≥6, so the piece of the function we want is f(x) = x.  In our ordered pair, y=f(x)=-7; -7≠8, so no, it is not a solution.
5 0
3 years ago
Other questions:
  • ASAP PLZ HELP ON THIS SIMPLE QUESTION!
    13·1 answer
  • Simplify the expression. .<br> 2.3h( 6 – k)<br> Step by step please
    8·1 answer
  • What is the value of h? <br><br> 4<br> 8 sqrt 3<br> 16<br> 8 sqrt 2
    13·2 answers
  • Theo is using the Quadratic Formula to solve a quadratic equation. Which of the following is the next step for simplifying
    10·1 answer
  • What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.
    6·1 answer
  • Write these numbers in size order start with the smallest
    9·1 answer
  • Is algebra.
    10·1 answer
  • What did you do today? 3 things
    10·1 answer
  • Pls help if you only know the correct answer!!! Thanks!!
    13·2 answers
  • A brother is 3 years older than his sister. Five years ago, the ratio of their ages was 4 : 3. Find the boy age.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!