On a recent trip to the convenience store, you picked up 2 gallons of milk, 6 bottles of water, and 7 snack-size bags of chips. Your total bill (before tax) was $25.65. If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.90 more than a bottle of water, how much does each item cost?

Answers

Answer 1

Answer:

The water costs $1.90, the chips are $.95 and the milk is $3.80.

Step-by-step explanation:

Let m = milk

Let w = water

Let c = chips

2m+6w+7c =25.65      w = 2c     m = w + 1.90

For the first equation, substitute w for 2C and m for w + 1.90 to get:

2(w+1.90) +6(2c) + 7c = 25.65

2w+3.8+12c+7c=25.65

2w+19c = 21.85

Now substitute 2c for w:

2(2c)+19c =21.85

4c + 19c = 21.85

23c = 21.85

c = .95  Now that we know the cost of the chips we can use that to find the water and the milk for the original equations that we wrote at the top.

w = 2c

w=2(.95) = 1.90

m = w + 1.90 = 1.90+1.90 = 3.80


Related Questions

Children learn to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable.

a. True
b. False

Answers

Children learning to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable is a true statement.

What are Patterns?

This involves the regularity or repeated way in which something is done or arranged.

Children are very inquisitive and tend to make logical connections when dealing with patterns due to their reasoning skills thereby aiding their learning process.

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Evan collected data about the amount of time each student in his math class spends studying. If the range of these data is 2, what does this reveal about the data?

All the students in his math class spend exactly 2 hours studying.
All the students in his math class spend an average of 2 hours studying.
The smallest and largest data values are 2 units away from each other.
The middle data value for time spent studying by all students in his class is 2 hours.

Answers

A range of 2 reveals that the smallest and largest data values are 2 units away from each other.

What does the range reveal?

Range is the difference between the highest and lowest values of a set of observations. Range is a measure of variation.

Range = highest value - lowest value

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Three times the age of Abel is four more than the age of Asare.In three years,the sum of their ages will be 30 years.Find their present ages

Answers

Answer:

Abel is 7 and Asare is 17 years old

Step-by-step explanation:

Let the age of Abel is x and age of Asare is y.

Three times the age of Abel is four more than the age of Asare:

3x = y + 4

And

In three years, the sum of their ages will be 30 years:

x + 3 + y + 3 = 30

We got two equations.

Simplify and solve by substitution:

y = 3x - 4x + y = 24

3x - 4 + x = 24    Substitute y4x - 4 = 244x = 28x = 7

Find y:

17 + y = 24y = 7

kindly solve these questions for me.

Answers

The perimeter of the rectangle based on the factors given is 46.

How to calculate the perimeter?

The area of the rectangle is given as (x² + 13x - 90). This will be:

= (x² + 13x - 90)

= x² + 18x - 5x - 90

= x(x + 18) - 5(x + 18)

= (x - 5)(x + 18)

The sides of the rectangle are 5 and 18. The perimeter will be:

= 2(l + w)

= 2(5 + 18)

= 46

The area of the rectangle is given as (x² + 24x - 81.

= (x² + 24x - 81)

= x² + 27x - 3x - 81

= x(x + 27) - 3(x + 27)

= (x - 3)(x + 27)

The sides are 3 and 27. The perimeter will be:

= 2(l + w)

= 2(27 + 3)

= 60

= (x + 1)² + 3(x + 1) + 2

= (x + 1)(x + 1) + 3x + 3 + 2

= x² + x + x + 1 + 3x + 5

= x² + 5x + 6

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I need help with this geometry question asap!

Answers

Answer:  True

Explanation:  Parallel lines are two lines that lie on the same plane and they never intersect.  

(-4, 7), (-6,-4)

find the slope of the line through each pair of points

Answers

Answer:

slope = 11/2

Step-by-step explanation:

If you are given two points, you can find the slope using the point-slope equation. The equation looks like this:

y₁ - y₂ = m(x₁ - x₂)

In this form, "m" represents the slope, "x₁" and "y₁" represent the values from one point, and "x₂" and "y₂" represent the values from the other point. You can plug the values from the points into the equation and simplify to find the slope.

Point 1: (-4, 7)                Point 2: (-6, -4)

x₁ = -4                              x₂ = -6

y₁ = 7                               y₂ = -4

y₁ - y₂ = m(x₁ - x₂)                               <----- Point-slope form

7 - (-4) = m(-4 - (-6))                            <----- Insert values

11 = m(2)                                             <----- Simplify

11/2 = m                                             <----- Divide both sides by 2

[tex]\huge\boxed{\frac{11}{2}}[/tex]

The slope is equivalent to vertical change divided by horizontal change, otherwise known as "rise over run".

Therefore, the slope can be represented with the following equation, where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are your points:

[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values and simplify to find the answer.

[tex]\dfrac{(-4)-7}{(-6)-(-4)}[/tex]

[tex]\dfrac{-4-7}{-6+4}[/tex]

[tex]\dfrac{-11}{-2}[/tex]

[tex]\boxed{\frac{11}{2}}[/tex]

Divide. (7x − 6x^2 + x^3 − 1) ÷ (x − 1)

Answers

Hope that helps...........................

please fill in the blanks of the question i sent a pic of

Answers

The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.

What is the center and the radius of the circle?

In this question we must determine the location of the center and the measure of the radius of a circle. According to Euclidean geometry, diameters are the longest possible chords of a circle. First, we determine the location of the center by definition of midpoint:

(h, k) = (1/2) · (4, 5.5) + (1/2) · (4, 10.5)

(h, k) = (4, 8)

And the radius is found by Pythagorean theorem:

[tex]d = \sqrt{(4 - 4)^{2}+(10.5-5.5)^{2}}[/tex]

d = 5

r = 0.5 · 5

r = 2.5

The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.

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Prove: The square of a number that is two more than a multiple of 3 is one more than a multiple of 3.

Answers

Step-by-step explanation:

x is the number

x = 3y + 2

the square

x² = (3y + 2)² = 9y² + 12y + 4

9y² is a multiple of 3 (because of the factor 9)

12y is a multiple of 3 (because of the factor 12)

4 is 1 more than a multiple of 3 (1×3).

so, the sum of all 3 terms is 1 more than a multiple of 3.

The prep club and honor society are joining forces

Answers

Given that the inequalities and that

x ⇒ pep club donations

y ⇒ represent donations raised by the honor society

The inequality is represented by x + y≥ 500

The solution for this is the shaded area above the solid line.

Given x ≥ 100, this is also indicated by the shaded region to the right

What does point (300, 100) represent? is it a viable Solution? why?

The point (300,100) indicates that the contributions made for the pep club were $300 and the donations raised by the honor society were $100.

The point (300,100) is NOT a feasible solution since it does not conform to the gray area of the system of inequalities solution.

To proof the above,

Let x = 300; and y = 100

Plugin in both values in the inequalities we have:

300 + 100 [tex]\ngeq[/tex] 500

400 [tex]\ngeq[/tex] 500 ; Hence it is NOT true; also

300 [tex]\ngeq[/tex] 500.

What does (500, 200) represent? Is it a viable Solution? why?

The point (500,200) indicates that the contributions raised for the pep club were $500 and the donations raised by the honor society were $200.

The point (500,200) IS A possible solution since it falls inside the darkened area of the system of inequalities solution.

To proof the above,

Let x = 500; and y = 200

Plugin in both values in the inequalities we have:

500 + 200 ≥ 500

700 ≥ 500; hence, this is true and it is safe to indicate that the ordered pair satisfies the inequality A.

Conclusion:
The point (500, 200) is a viable solution.

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find each lettered angel measure

Answers

Answer:

a = 64°

b = 138.7°

Step-by-step explanation:

First, Let's find the measure a,

180° = 116° + a180 - 116 = aa = 64°

______

Now,

90° + a + 82° + x + x + x = 360°90+ 64 + 82 + 3x = 360° 236 + 3x = 360 3x = 124/ 3x = 41.3°

______

Now that we found out what x equals, let's find 'b'-

b + x = 180°b + 41.3 = 180b = 180 - 41.3b = 138.7°

In a given​ year, residents of a country spent approximately ​$54.6 billion on their pets. Of this​ amount, ​$17.1 billion was for veterinarian bills. What percent of the total was spent on veterinary​ care

Answers

Percent of the total was spent on veterinary​ care is 31.3186% .

Applying simple percentage formula,

let x be the percentage

x=[tex]\frac{17.1}{54.6} \ 100[/tex]

x=31.3186 %

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The difference of the square of a number and 8 is equal to 8 times that number. Find the positive solution.

Answers

Answer:

[tex]2\sqrt{6} +4[/tex]

Step-by-step explanation:

Let x be that unknown number.

From the information given from the question, we can deduce:

[tex]x^{2} -8=8x[/tex]

From here, we can solve for x to find what is the number.

[tex]x^{2} -8=8x\\x^{2} -8x-8=0[/tex] (Quadratic Equation)

From here we can use the Quadratic Formula to solve for x.

[tex]x=\frac{-b+/-\sqrt{b^{2} -4ac} }{2a}[/tex]

In this case,

a = 1, b = -8 , c = -8

We substitute a, b and c to find x.

[tex]x=\frac{-(-8)+/-\sqrt{(-8)^{2}-4(1)(-8) } }{2(1)} \\= 2\sqrt{6} +4[/tex]

(Reject the negative solution)

83758263983639483883

Find the dimensions of the rectangle

Answers

Answer:

length: 12 mwidth: 4.5 m

Step-by-step explanation:

The given relation between length and width can be used with the area formula to write an equation for the dimensions of the rectangle.

Setup

Let w represent the width of the rectangle. The length is 3 more than twice that, so is (2w+3). The area is the product of length and width.

  A = LW

  54 = (2w +3)(w)

Solution

Rewriting this equation to standard form gives ...

  2w² +3w -54 = 0

  (2w -9)(w +6) = 0 . . . . factored

  w = 9/2, -6 . . . . . . . . . values that make the equation true

Only the positive width makes sense in a geometry problem, so we have ...

  w = 9/2

  length = 2w +3 = 12

The length of the rectangle is 12 meters; its width is 4.5 meters.

Consider the equation 4x^4 - 38x^3 = 17x^2 + 30x. One of the real solutions to the equation is 10. What are the other solutions, both real and nonreal

Answers

Answer: Option (1)

Step-by-step explanation:

[tex]4x^4 -38x^3 -17x^2 -30x=0[/tex]

Dividing both sides by [tex]x-10[/tex] (10 is a root, so x-10 is a factor), yields

[tex]4x^3 +2x^2 +3x=0\\\\x(4x^2 +2x+3)=0\\\\x=0, 4x^2 +2x+3=0[/tex]

Solving the second case by the quadratic formula yields [tex]x=\frac{-1 \pm i\sqrt{11}}{4}[/tex].

So, the answer is Option (1).

A researcher uses a random number generator to simulate the results of an experiment. Which of the following assignments of
random digits is appropriate for its experimental design?
A. let 0,2,4,6,8 represent selecting a face card (King, Queen, Jack) and 1,3,5,7,9 represent a non-face card in the selection of one card from a well-
shuffled 52-card deck of cards
B. let 0,1,2,3,4,5 represent flipping a heads on a fair coin and 6,7,8,9 represent flipping a tails with a fair coin
C. let 4 represent rolling a 4 on a fair 6-sided die and 0,1,2,3,5,6,7,8,9 represent not rolling a 4 on a fair 6-sided die
D. let 1,3,5,7, and 9 represent flipping a heads with a fair coin, and 0,2,4,6, and 8 represent flipping a tails with a fair coin.

Answers

The correct assignment of digits is D. let 1,3,5,7, and 9 represent flipping heads with a fair coin, and 0,2,4,6, and 8 represent flipping tails with a fair coin, as the probability of heads and tails is 1/2, and that of the assigned digits is 1/2.

In the question, we are given that a researcher uses a random number generator to simulate the results of an experiment and are asked for the appropriate assignment of random digits for its experimental design.

For the assignment to be correct, the probability of the random numbers must be equal to the probability of the experiment.

We analyze each option:

A. let 0,2,4,6,8 represent selecting a face card (King, Queen, Jack) and 1,3,5,7,9 represent a non-face card in the selection of one card from a well-shuffled 52-card deck of cards. The probability of a face card is 3/13, whereas the probability of an assigned digit is 5/10 = 1/2, which implies improper assignment.B. let 0,1,2,3,4,5 represent flipping heads on a fair coin and 6,7,8,9 represent flipping tails with a fair coin. The probability of getting heads is 1/2, whereas the probability of an assigned digit is 6/10 = 3/5, which implies improper assignment.C. let 4 represent rolling a 4 on a fair 6-sided die and 0,1,2,3,5,6,7,8,9 represent not rolling a 4 on a fair 6-sided die. The probability of rolling a 4 on a fair 6-sided die is 1/6, whereas the probability of assigned digits is 1/10, which implies improper assignment.D. let 1,3,5,7, and 9 represent flipping heads with a fair coin, and 0,2,4,6, and 8 represent flipping tails with a fair coin. The probability of heads and tails is 1/2, and that of the assigned digits is 1/2, which implies proper assignment.

Thus, the correct assignment of digits is D. let 1,3,5,7, and 9 represent flipping heads with a fair coin, and 0,2,4,6, and 8 represent flipping tails with a fair coin, as the probability of heads and tails is 1/2, and that of the assigned digits is 1/2.

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A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?
O 14
O24
28
O 56

Answers

Answer:

14

Step-by-step explanation:

If a baseball player records 4 hits in 8 games, then the player records 1 hit every 2 games. Therefore, the player will have 14 more hits in the next 28 games.

10. What is the product of 6% and 14%

Answers

the answer is 0.0084

Here is this question im stuck on.

Answers

The polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0

Dividing polynomials

From the question, we are to divide the given polynomial P(x) by the divisor d(x)

From the given information,

P(x) = x³ + 8

d(x) = x + 2

The division operation is shown in the attachment below.

The quotient, Q(x) = x² -2x + 4

and the remainder, R(x) = 0

We area to express P(x) in the form

P(x) = d(x).Q(x) + R(x)

Thus, we get

x³ + 8 = (x+2)(x² -2x + 4) + 0

Hence, the polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0

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The scatterplot to the left shows the cost, CCC, in thousands of dollars, and living space, xxx, in square feet (\text{ft}^2)(ft
2
)left parenthesis, start text, f, t, end text, squared, right parenthesis for several houses in a certain neighborhood. According to the data, which of the following best approximates the cost for an additional square foot of living space for homes in this neighborhood?
Choose 1 answer:
\$80$80dollar sign, 80
\$300$300dollar sign, 300
\$1{,}000$1,000dollar sign, 1, comma, 000
\$13{,}000$13,000dollar sign, 13, comma, 000

Answers

According to the data, the cost of this house would increase by 0.08 thousand dollars ($80) for each additional square foot of living space.

How to determine the cost for an additional square foot?

By critically observing the scatter plot, we can logically deduce that it shows a linear trend. Thus, the slope of the line of best fit is given by a ratio of change in cost to the change in living space.

Next, we would approximate two points on the line of best fit and then find the slope as follows:

Slope, m = ΔC/Δx

Slope, m = (C₂ - C₁)/(x₂ - x₁)

Slope, m = (400 - 200)/(4000 - 1500)

Slope, m = 0.08.

Therefore, the cost of this house would increase by approximately 0.08 thousand dollars ($80) for each additional square foot of living space.

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Which person has a dept ratio that is higher the 18%

Answers

the person with the debt ratio that is higher than 18% can be found by dividing the person's debt by their income .

what is the debt ratio?

the necessary information is not given so a general explanation will be given.

the debt ratio is found by the formula:
= monthly debt payment / monthly gross income

this figure allows creditors to see if a person can affort to incur more debt based on how much of their gross monthly income is being used to service debt.

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A cylinder has a olive of 200mm and a height of 17mm. The volume formula for a cylinder is

Answers

The radius of the given cylinder with a volume of 200 mm³ and a height of 17mm is: 1.93 mm.

How to find the Volume of a Cylinder?

The formula for finding the volume of any cylinder is given as: πr²h, where r is the radius and h is the height of the cylinder.

Given the following:

Volume = 200 mm³

Height (h) = 17 mm

Radius (r) = ?

Plug the values into the formula for volume

πr²(17) = 200

r² = 200/17π

r² = 3.74

r = 1.93 mm

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Is this figure a polygon? Explain.

Answers

Yes.

It’s a flat figure (2D), and all of its lines are connected with one another. There aren’t any open points/lines. It’s closed to create a shape. This means it’s a polygon.

ANSWER ONLY THANK YOU

Answers

A. (1,4)

EXPALINATION :

IF WE WRITE THE VALUE x = -1 AND y = 4

THEN, y= -8x - 4

4= -8×-1-4

4= 8-4

AND SECOND EQUATION IS : y = x+5

y = -1 +5

y = 4

hence, solved and explained

thank you And mark me brainlist if you understand And hopes so

what’s 5x times 2-7 min

Answers

Answer:33

Step-by-step explanation: The expressions have equivalent values when x + 6

The expressions have equivalent values for any value of x.

When x=10 , both expressions have a value of 33.

here is a table of values for y= f(x)

mark the statements that are true.​

Answers

Answer:

B. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6}

D. f(-1) = 6

Step-by-step explanation:

The question gives a table marking the different coordinate pairs for a function, where f(x) is y. The top row represents the x-values and the bottom row represents the y-values.

Domain

The domain of a function is the set of x-values that the graph covers. In this case, the x-values are all integers between -2 and 6. We can see this in the top row of the table. Answer choice B best represents this domain.

Solving for F(x)

F(x) represents a specific y-value, for example, f(-1) represents the y-value when x = -1. So, to test choice D, we need to find what y-value matches -1 on the table. The table shows that when x = -1, f(x) = 6. This means that answer choice D must be correct.


Find the area of the regular polygon. Round to the nearest tenth

Answers

Answer:

1/2×base×height

1/2×8×8

32cm²

Rate:

168 ounces
14 boxes

How much does the spaghetti in each box weigh? Find the unit rate.

Answers

Answer:

12 ounces

Step-by-step explanation:

168 divided by 14 = 12

Which is the graph of the function f(x)=√x?

Answers

The graph is shown in the attached image.

The estimated population of Los Angeles in 2019 was 3,979,576. Its area is 469 square miles. What is the population density of Los Angeles, in people per square mile?

Answers

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its  area is 469 square miles, the population density of Los Angeles is  8486 people per square miles.

What is the population density of Los Angeles, in people per square mile?

Population density simply the measurement of population per unit area.

It is expressed as;

Population density = Number of people / Area

Given the data in question;

Number of people in Los Angeles N = 3,979,576 peopleArea of Los Angeles A = 469 square milesPopulation density = ?

We substitute the given values into the above equation.

Population density = Number of people / Area

Population density = 3,979,576 people / 469 square miles

Population density = 8485.23667 ≈ 8486 people per square miles

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its  area is 469 square miles, the population density of Los Angeles is  8486 people per square miles.

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