MATHEMATICS COLLEGE

On a recent trip to the convenience Store you picked up 2 gallons of milk five bottles of water and eight snack size bags of chips your total was $25 if a bottle of water cost twice as much as a bag of chips and a gallon of milk cost $1.50 more than a bottle of water how much does each item cost

Answers

Answer 1
Answer:

Given

2 milks + 5 waters + 8 chips = $25

water cost = 2×chips cost

milk cost = $1.50 + water cost

Find

The cost of each: milk, water, chips.

Solution

Let m, w, and c represent the costs of milk, water, and chips, respectively. We can write the given relations more compactly as

... 2m + 5w + 8c = 25

... w = 2c

... m = w + 1.5

We can substitute for w everywhere using the second equation. This gives us

... m = 2c +1.5

... 2(2c+1.5) + 5(2c) + 8(c) = 25

... 22c + 3 = 25

... 22c = 22

... c = 1

Then

... m = 2·1 + 1.5 = 3.5

... w = 2·1 = 2

A gallon of milk costs $3.50, a bottle of water costs $2.00, a bag of chips costs $1.00.
Answer 2
Answer:

$3.50 is how much the milk costs, a bottle of water is $2.00, and the chips are  $1.00.

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Based on the scatterplot of the transformed data and the residual plot, which type of model is appropriate for estimating print publication each year? A linear model is appropriate because the residual plot does not show a clear pattern. A power model is appropriate because the scatterplot of years and the log of circulation is roughly linear. An exponential model is appropriate because the scatterplot of years and the log of circulation is roughly linear and the residual plot shows no distinct pattern. Both an exponential and a power model would be appropriate because the log of circulation was used to develop the model.

Answers

Answer:

C

Step-by-step explanation:

Answer: c

Step-by-step explanation:

I just took the test and got it correct

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.x-intercept 7; y-intercept -5

Answers

Answer:

The line with the x- and y-intercepts below has the following equation:

f(x) = (5x)/(7) - 5

Step-by-step explanation:

The equation of the line has the following format:

f(x) = ax + b

We are given two points, we are going to substitute them into the above equation, and find the equation of the line given the conditions.

Solution

Starting from the y-intercept makes the solution easier, since the term a is multiplied by 0

y-intercept -5

This means that when x = 0, y = f(x) = -5, so:

f(x) = ax + b

-5 = a(0) + b

b = -5

For now, the line has the following equation:

f(x) = ax - 5

x-intercept 7

This means that when y = f(x) = 0,x = 7, so:

f(x) = ax - 5

0 = 7(a) - 5

7a = 5

a = (5)/(7)

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lim x rightarrow 0 1 - cos ( x2 ) / 1 - cosx The limit has to be evaluated without using l'Hospital'sRule.

Answers

Answer with Step-by-step explanation:

Given

f(x)=(1-cos(2x))/(1-cos(x))\n\n\lim_(x \rightarrow 0)f(x)=\lim_(x\rightarrow 0)(\frac{1-(cos^2{x}-sin^2{x})}{1-cos(x)})\n\n(\because cos(2x)=cos^2x-sin^2x)\n\n\lim_(x \rightarrow 0)f(x)=\lim_(x\rightarrow 0)((1-cos^2x)/(1-cos(x))+(sin^2x)/(1-cosx))\n\n=\lim_(x\rightarrow 0)(((1-cosx)(1+cosx))/(1-cosx)+(sin^2x)/(1-cosx))\n\n=\lim_(x\rightarrow 0)((1+cosx)+(sin^2x)/(1-cosx))\n\n\therefore \lim_(x \rightarrow 0)f(x)=1

Which statements about geometric sequences are correct? Check all that apply. In a geometric sequence, the ratio between each of the consecutive terms is the same, or constant. Multiply the common ratio by the last term to extend a geometric sequence.
The sequence 2, 8, 32, 128, . . . is geometric.
The sequence 5, 10, 15, 20, . . . is geometric.
The sequence 3, 18, 108, 648, . . . is geometric.

Answers

Answer:

1,2,3,5

Step-by-step explanation:

Find the values of x and y.

X=?
Y=?

Answers

Answer:

x=85

y=65

Step-by-step explanation:

Right angle equals 90

then 180-90-20=70

Opposite angle =70

so 70+25+x=180

x=180-70-25=85

when u know x ,then 180-85=95

y=360-90-110-95=65

Zoning activityIf you wanted to build a new house, or add an addition to the house you own, where would you go to get permission? What codes would you have to follow?

Answers

Final answer:

To build a new house or add an addition to an existing house, you would need to get permission from your local zoning and planning department, or a similar local government office. You would need to follow building codes, zoning codes, and possibly environmental regulations.

Explanation:

If you wanted to build a new house or add an addition to the house you own, you would generally need to go to your local zoning and planning department or a similar local government office. These local departments enforce regulations and laws related to land and property use, including residential construction.

As for the codes you would need to follow, these typically include building codes, zoning codes, and sometimes environmental regulations.

Building codes pertain to the actual construction of the structure, ensuring that it is safe and meets certain standards. Zoning codes, on the other hand, govern what types of buildings and uses are allowed in certain areas. Environmental regulations may apply if the construction could affect local ecosystems.

Additionally, if you live in a neighbourhood with a homeowners association (HOA), you may also have to follow their guidelines and get their approval too.

Learn more about Building and Zoning Codes here:

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