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11Alexandr11 [23.1K]
3 years ago
6

Paul buys 5 bags of chips and 9 bags of pretzels for $16.95. Ian buys 1 bag of chips and 1 bag of pretzels for $2.55. Find the c

ost of one bag of chips and one bag of pretzels.
Mathematics
1 answer:
egoroff_w [7]3 years ago
3 0

Answer: The cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.

Step-by-step explanation:

Let x= Cost of one bag of chips

y= Cost of one bag of pretzels.

As per given, we have

5x+9y=16.95        ...(i)

x+y=2.55            ...(ii)

Multiply 5 to (ii), we get

5x+5y=12.75     ...(iii)

Eliminate (iii) from (i), we get

4y=4.2\\\\\Rightarrow\ y=1.05

Put value of y in (ii), we get

x+1.05=2.55\\\\\Rightarrow\ x=2.55-1.05=1.5

Hence, the cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.

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Talja [164]

Answer:

c) The equation to find the price of each shrub is    $53.50 = 4 p + $17.50

The cost of 1 shrub = p =  $ 9.00

Step-by-step explanation:

The total number of shrubs purchased = 4

The price paid for potting soil = $17.50

The total bill of purchase = $53.50

Let us assume the cost of 1 shrub   = $p

The total amount spent of 4 shrubs = 4 x ( The price of each shrub)  =  4 p

TOTAL BILL = The amount paid for 4 shrubs +  AMOUNT paid for SOIL

⇒ $53.50 = 4 p + $17.50

Now. solving for p, we get:

53.50 - 17.50  = 4  p

or, 3 6  = 4 p

or, p = 36/4 = 9

or, p = 9

Hence, the cost of each shrub = $9

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3 years ago
Please help me!!!!!!
goldfiish [28.3K]

Answer:

False, there are no solutions

Step-by-step explanation:

y = 2x+4

y = 2x+10

The slopes are the same (2) but the y intercepts are different

These lines are parallel with different intercepts

They will never intersect so there are no solutions

3 0
2 years ago
Read 2 more answers
Describe the graph of a system of equations that has no solution.
Thepotemich [5.8K]

<span>The solution for a system of equations is the value or values that are true for all equations in the system. The graphs of equations within a system can tell you how many solutions exist for that system. Look at the images below. Each shows two lines that make up a system of equations.</span>

 

<span><span>One SolutionNo SolutionsInfinite Solutions</span><span /><span><span>If the graphs of the equations intersect, then there is one solution that is true for both equations. </span>If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.</span></span>

 

When the lines intersect, the point of intersection is the only point that the two graphs have in common. So the coordinates of that point are the solution for the two variables used in the equations. When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

 

Some special terms are sometimes used to describe these kinds of systems.

 

<span>The following terms refer to how many solutions the system has.</span>

5 0
3 years ago
How many feet are in 2 miles 300 feet?
Stells [14]
I believe the answer would be 10,860 my friend :) good luck with your problem, and have a great day
3 0
3 years ago
Question 3 of 10
MrMuchimi

Answer:

The point-slope form  of the line is:

y + 4 = 4(x+3)

Hence, option B is correct.

Step-by-step explanation:

We know the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

Given

The slope m = 4

From the graph, we can take the point (-3, -4)

So, in our case:

(x₁, y₁) = (-3, -4)

m = 4

now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - (-4) = 4(x - (-3))

y + 4 = 4(x+3)

Therefore, the point-slope form  of the line is:

y + 4 = 4(x+3)

Hence, option B is correct.

  • The graph of the line is also attached.

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3 years ago
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