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
Crank
3 years ago
8

if the cost of 3 chocolates and 2 cookies is $22 and that of 2 chocolates and 3 cookies is $18, what is the cost of cookies.​

Mathematics
2 answers:
Vanyuwa [196]3 years ago
4 0

Answer:$2

Step-by-step explanation:Express as two equations . Lex x Be chocolate and y be cookies.

3x+2y=22

2x+3y= 18

Common factor of 6 so times first ran by 2, second ran by 3 . Eliminate.

ycow [4]3 years ago
4 0

Answer:

$2

Step-by-step explanation:

Let the cost of a chocolate and a cookie be $x and $y respectively.

Using the given information, form 2 equations and label them.

3x +2y= 22 -----(1)

2x +3y= 18 -----(2)

Now let's try to multiply both equations by a certain integer, such that the coefficient of x in both equations are the same. This allows us to eliminate the x term through subtraction.

(1) ×2:

6x +4y= 44 -----(3)

(2) ×3:

6x +9y= 54 -----(4)

(4) -(3):

6x +9y -(6x +4y)= 54 -44

Expand, simplify:

6x +9y -6x -4y= 10

5y= 10

Dividing both sides by 5:

y= 10 ÷5

y= 2

Thus, a cookie costs $2.

Note:

• Since we are only trying to find the value of y (cost of cookie), it is faster to eliminate the x term.

• If the signs of the coefficient of the term is opposite (e.g. -6 and 6), we can eliminate the term through addition.

Example:

-6x +4y= 44 -----(1)

6x +9y= 54 -----(2)

(1) +(2):

-6x +4y +6x +9y= 44 +54

13y= 98

y= 98 ÷13

y= 7.54 (3 s.f.)

You might be interested in
Find the coordinates of the points of intersection of the graphs with coordinate axes: y=− 1/4 x+2
bearhunter [10]

Answer:


Step-by-step explanation:

Here, you can use a simple formula.

To find the point of intersection you just put x=0 or y=0.

Because, if a graph intersects x-axis, then at this point  y=0

Similarly, if a graph intersects y-axis, then at this point  x=0


So, for our given line.

y=-1/4 x +2

when , x=0 , y=-1/4 (0)+2=2

So, the graph intersects y-axis at   y=2


when , y=0 ,

then    0=-1/4 x+2

       or, 1/4 x=2

       or, x=8    [multiplying by  4]

So, the graph intersects x-axis at   x=8

3 0
3 years ago
Prove that 4x-1 =11,in which the value of x=3​
SOVA2 [1]

Answer:

3

Step-by-step explanation:

substitute where x=3 into the equation

so 4*3-1=11

8 0
3 years ago
Read 2 more answers
Which best defines a circle?
Paraphin [41]
I believe the correct answer is A, 

6 0
3 years ago
Help triangle sum therom and idk what to do
m_a_m_a [10]
Your answer would be x = 12

The triangle sum theorem states that the 3 angles in a triangle equal 180.

Since we have a 90 degree angle shown, we can add it to the other two and set it equal to 180.

30+90+6x-12=180
108+6x=180
6x=72
x=12
5 0
3 years ago
Give three numbers between - 6 and 10 that satisfy the given condition.
Anika [276]

Answer:

2 4 6 8

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • List the roots of f(x) = 24x3 – 10x2 -7x + 2:
    5·1 answer
  • A teacher wants to give 3 markers to each of he 25 students. Markers come in packages of 8. How many packages of markers will th
    10·1 answer
  • A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs
    5·1 answer
  • I have $6.25 composed of quarters and dimes. there are 10 times more dimes than quarters. how many dimes do i have? the value of
    10·2 answers
  • The polygon in the diagram is a regular octagon with center A. Find the area of the octagon to the nearest tenth of a foot. A) 2
    13·1 answer
  • Solve the given system of equations. 2y= -x+9 , 3x-6= -15
    14·1 answer
  • Suppose an x-y axis is superimposed on the map with its origin at Des Moines, Iowa. also suppose a cold front is passing through
    6·1 answer
  • 23 mm<br>26 mm<br>52 mm<br>Write appropriate units with your answer​
    7·1 answer
  • Is table salt an Electrolyte?​
    9·2 answers
  • SOMONE HELP ME I HAVE <br> TO DO THIS AFTER SCHOOL PLS ASAP!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!