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
Grace [21]
3 years ago
9

Person A buys 12 granola bars and 7 cups of yogurt for $15.50. Person B buys 6 granola bars and 11 cups of yogurt for $11.50. Fi

nd the cost of each item.
Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

Let us assume that cost of each granola bar be $x and that of a cup of yogurt be $y  
From person A's purchase, we get  
12x + 7y = 15.5; equation A  
And from person B's purchase, 
6x + 11y = 11.5; equation B  
Let us multiply equation B by 2 and subtracting equation A from it, we will get  
12x + 22y - 12x - 7y = 23 - 15.5,  
=> 15y = 7.5 
or, y = 0.5  
Substituting value of y in equation A, we can find x  
12x + 7*0.5 = 15.5 
=> x = (15.5 - 3.5)/12 
or, x = 1  
Therefore, cost of granola bar is $1, and that of yogurt is $0.5
You might be interested in
Which is the graph of the sequence defined by the function f(x + 1) = 2/3 f(x) if the initial value of the sequence is 108?
san4es73 [151]

Answer:

The fourth graph.

Step-by-step explanation:

We have f(x + 1)  so the x values will be increased by 1.

first value = 108 (when x  = 1)

next value = 108 * 2/3 = 72 (when x = 2)

next = 72 * 2/ 3= 48 (when x = 3)

next = 48 * 2/3 = 32 (when x = 4)

5 0
3 years ago
Read 2 more answers
Write the trinomial as a square of a binomial<br> x^2+2xy+y^2
vitfil [10]

Answer:

\large\boxed{x^2+2xy+y^2=(x+y)^2}

Step-by-step explanation:

(x+y)^2=(x+y)(x+y)\\\\\text{Use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x)(x)+(x)(y)+(y)(x)+(y)(y)=x^2+xy+xy+y^2=x^2+2xy+y^2

3 0
3 years ago
Read 2 more answers
Find the product of 2x^4(4x^2 + 3x + 1).
lianna [129]
We want to find the product:

                         \displaystyle{ 2x^4\cdot(4x^2 + 3x + 1).

By the \text{Distributive property}, we distribute 2x^4 over each of the three terms inside the parenthesis:

\displaystyle{ 2x^4\cdot(4x^2 + 3x + 1)=2x^4\cdot4x^2+2x^4\cdot3x+2x^4\cdot1.

Multiplying the coefficients, and adding the exponents we get:

8x^6+6x^5+2x^4.


Answer: 8x^6+6x^5+2x^4.
5 0
3 years ago
Can anyone help me with this please?
anastassius [24]
You are taking off 8 each 2 at x, so it would be four for each 1 at x. therefore 2 is 9, 1 is 13 and...

the value of y is 17 when x = 0

sorry if i explained that bad
8 0
3 years ago
The smith family is designing new plans for an in ground pool. mr smith draws a rectangular shape with a length that is 5 feet l
dolphi86 [110]
Answer
Are of the pool = w² + 5w (in square feet)


Explanation

Since the pool is rectangular in shape,
Area of the pool can be calculated using the formula for the area of a rectangle

Area of rectangle = length x width

Given,
Width of pool (Assume is same as height) = w
Length of pool= w + 5

Area = w * (w + 5)
= w² + 5w (in square feet)
where w is the width of the pool
3 0
3 years ago
Other questions:
  • Which equation is nonlinear?
    15·2 answers
  • Come up with a situation in which you would have to calculate the surface area or volume of a solid
    11·1 answer
  • HELP ME W MY MATH IM BEGGINGM
    11·1 answer
  • There are many cylinders with a height of 9 inches. Let r represent the radius in
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B14%7D%20%2F%20%5Cfrac%7B4%7D%7B3%7D" id="TexFormula1" title="\frac{9}{14} / \
    12·1 answer
  • Evaluate 3p+2q. when p=3 and <br> ————<br> 2<br> q=5
    11·1 answer
  • Solve each system of linear equations by elimination.<br><br> X-6y=7<br> -x+6y= -7 -​
    5·1 answer
  • Pet owners may have to take out a loan when their animal has a major operation. Buddy needs to have surgery on his leg. The cost
    11·1 answer
  • Pls help me on this it’s rlly hard I’m not sure if the faces is correct and pls tell me the vertices to
    9·1 answer
  • Help pls :’( ASAPP!!!<br> “Complete the proof”
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!