marco needs to buy some dog food. at the nearest store, 5 bags of dog food cost $12.50. how much would marco spend on 3 bags of dog food

The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

According to the statement

we have given that the 3 integers are in an arithmetic progression and their product is prime.

And we have to find the sum of their squares.

So, let the three integers which is A, B, C.

And according to the arithmetic progression the

A = x and B = x-d, C = x-2d. here d is the common difference and x is a 1st term.

So, there product is prime

then

(x) (x-d) (x-2d) = c -(1)

And

their sum of square is

(x)^2 + (x-d)^2 + (x-2d)^2 - (2)

So, The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

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Answer:

380 tickets were sold at the door and 440 tickets were sold before

Step-by-step explanation:

x = tickets sold before

y = tickets sold at the door

x + y = 820

x = y + 80

y + 80 + y = 820

   -80           -80

2y = 740

y = 370

820 - 380 = 440

x = 440

In 6 days 285 miles can be travelled.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

190  miles cover in 4 days.

let x miles travelled in 6 days

So, using proportion

190/4 = x/6

190 x 6 = 4x

4x= 1440

x= 285 miles.

Hence, in 6 days 285 miles can be travelled.

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Answer:

6x^2 + 24x

Step-by-step explanation:

Answer:

Assuming you meant x² + 12x + 11, then it would be expressed as:

(x + 6)² - 25

Step-by-step explanation:

The way you wrote the expression, the second term is not multiplied by x, and you wouldn't get the answer expected.  It would just be x² + 33.  Presumably that was in error and the 12 is in fact just a coefficient of x, so let's work from there.

x² + 12x + 11

= x² + 12x + 36 - 25

= (x + 6)² - 25

The solution of the equation y = (2/3)x + 3 is 5/3

The given equation is

y = (2/3)x + 3

The slope of the line is the change in y coordinates with respect to the change in x coordinates.

This is the linear equation in the the slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinates

x is the x coordinates

The value of x = -2

Substitute the value of x in the equation

y = (2/3) × -2 + 3

Do the arithmetic operations

= -4/3 + 3

Add the numbers

= 5/3

Therefore, the solution is 5/3

I have solved the question in general, as the given question is incomplete

The complete question is:

What is the solution of the equation y = (2/3)x + 3x, when x = -2?

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Answer:

B: 3 hours

Step-by-step explanation:

Since we know that it takes 12 hours to clean the windows and the cleaners were only able to clan for 9 hours, we just subtract 9 from 12 which gives us the answer:3Hours.

Answer:

B.3hours

Step-by-step explanation:

12-9=3

so the letter T is=3

Answer:

n=6t

Step-by-step explanation:

6 cars parked per hour

t is the hours

6 is the slope

y=mx+b

n=6t

Hope this helps.

Both options a. A = 129.9° and b. A = 53.1° are correct.

To find the possible values for angle A in triangle ABC, we can use the Law of Sines, which states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

Using the Law of Sines, we have sin(A)/a = sin(B)/b. Plugging in the given values, we get sin(A)/36 = sin(51°)/35.

To find the two possible values for angle A, we can solve the equation sin(A)/36 = sin(51°)/35. Taking the arcsine of both sides, we have A = arcsin((sin(51°)/35)*36).

Calculating this expression, we find two possible values for angle A:

A ≈ 53.1° (rounded to the nearest tenth)

A ≈ 129.9° (rounded to the nearest tenth)

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To minimize the cost of constructing a cat box with a volume of 4 ft³, the side length "a" should be approximately 1.47ft, resulting in a height of approximately 1.85 ft.

To find the dimensions of the box that minimize cost, we need to formulate a cost function and then find its minimum. Let's denote the length of the side of the box as "a".

The volume of the box is given as 4 ft³, so we have the equation:

a²h = 4

We need to find the height of the box in terms of "a". Solving for "h", we get:

h = 4/a²

Now, let's calculate the cost function. The cost of the square bottom is $5/ft², and the cost of the sides is $2/ft². The total cost is the sum of the cost of the bottom and the cost of the four sides. The cost function "C" can be expressed as:

C = 5a² + 4(2ah)

Substituting the expression for "h" from the volume equation, we get:

C = 5a² + 8a(4/a²)

= 5a² + 32/a

To minimize the cost, we need to find the critical points of the cost function. We take the derivative of "C" with respect to "a" and set it equal to zero:

dC/da = 10a - 32/a² = 0

Solving this equation,

10a^3 - 32 = 0

we find that a^3 = 3.2, so a ≈ 1.47.

Therefore, the dimensions of the box that minimize cost are approximately a = 1.47ft for the length of the side, and the corresponding height is h ≈ 4/(1.47)² ≈ 1.85 ft.

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Answer: The maximum amount you would be willing to pay for the investment is approximately $870,552.37, assuming an 8% return and living until age 60.

Step-by-step explanation: To calculate the maximum amount you would be willing to pay for the investment, you need to determine the present value of the future cash flows. Since the investment pays $4,800 annually until you reach age 60, which is 20 years from now, and assuming an 8% return, you can use the present value formula to calculate the present value of these cash flows. The result is approximately $870,552.37, which represents the maximum amount you would be willing to pay for the investment given your expected return and time frame.

Answer:

2.133 g/cm³

Step-by-step explanation:

We are given;

Mass = 832 g

Length = 12 cm

Width = 6.5 cm

Height = 5 cm

Now, volume of a block is given by the formula; length × width × height = 12 × 6.5 × 5 = 390 cm³

Now, density = mass/volume

Thus; density = 832/390 = 2.133 g/cm³

Answer:

no you can only use side side side when all of your triangles are equilateral triangles

Step-by-step explanation:

Option(A) i.e, 60 sq. feet is an answer.

The area of a rectangle is the number of unit squares that its perimeter includes. A rectangle's area is the area it takes up within the confines of its four sides. The area of a rectangle is determined by its dimensions. A rectangle's area is essentially equal to the product of its length and breadth. A shape's area is defined as the "space enclosed within the perimeter or the boundary" of the given shape.

The area of a rectangle can be calculated using the formula Area of rectangle = length × width.

Given, length = 15 feet, width = 4 feet

put these values in given formula,

Area of rectangle =  15 * 4

                              = 60 square feet

Hence, the answer is option(A)  i.e, 60 sq. feet.

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Answer:

m = 2

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

P = (-5, 2)   Q = (-3, 6)

We see the y increase by 4 and x increase by 2, so the slope is

m = 4/2 = 2

Your score must be greater than or equal to 81 in order to receive an A grade. The mean value comes out to be 80.52.

Here, we are given that professor Degroot has a policy of giving A grade to the top 10% of student scores on his final.

This means in order to earn an A grade, your score should be in the top 10%.

⇒ Z score should be 0.09

we can look at the z tables to find that this value is at z = 1.28

Now, we know z score is calculated as-

z = (X - μ)/ σ

where X = observed value

μ = sample mean

σ = standard deviation

substituting the given values in the formula we get-

1.28 = (X - 69)/ 9

1.28 × 9 = X - 69

11.52 = X - 69

X = 11.52 + 69

X = 80.52

Thus, your score must be greater than or equal to 81 in order to receive an A grade.

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For groceries to be delivered, one particular grocery store charges 3% of the whole purchase price. The total price the store charges to deliver $140 worth of groceries will be $144.20.

A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although abbreviations "pct.", "pct.", and occasionally "pc" are also used, percent symbol, "%," is frequently used to indicate it. A % lacks dimensions and has no associated unit of measurement.

It should be mentioned that a certain grocery store charges a delivery fee equal to 3% of the entire purchase price.

Consequently, the following is the total the store will charge to deliver $140 worth of groceries:

= Percentage charged × Cost+ Cost

= 3% × $140+$140

= 0.03 × $140+$140

= $4.20+$140

The amount charged is $144.20.

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Answer:

Answer is

a) 50%

b) 20%

c) 40%

Step-by-step explanation:

In linear equation, The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

What in mathematics is a linear equation?

5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5

Since there are 15 values,

           their mean is 111.5/15=7.43 which is very close to the mean.

A)A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes

D)The shape of the histogram can be approximated with a normal curve.

E)The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

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Answer:

  11.4

Step-by-step explanation:

You want the distance between C(-5, 5) and D(4, -2).

The distance formula is ...

  d = √((x2 -x1)² +(y2 -y1)²)

For the given points, the distance is computed to be ...

  d = √((4 -(-5))² +(-2 -5)²) = √(81 +49) = √130

  d ≈ 11.4

The length of CD is about 11.4 units.

__

Additional comment

The distance formula is an application of the Pythagorean theorem. It computes the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates.

There are only 13 multiples of both 3 and 5, since

\(200 = 3\cdot5\cdot13 + 5\)

From these integers, we eliminate any that are also divisible by 4 or 7.

\(3\cdot5\cdot4 = 60 \implies \{60,120,180\}\)

\(3\cdot5\cdot7 = 105 \implies \{105\}\)

so there are 13 - 4 = 9 such integers.

Answer:

Triangle ABC is congruent to triangle DFE.

(a) The margin of error would be approximately 2.1 percent.

(b) The 99 percent confidence interval for the true proportion is 41.5 percent to 46.5 percent.

(c) It is possible that the percentage of all voters who approve of the president's performance is 50 percent, but we cannot conclude this with certainty from the given information.

(a) Assuming a 95% confidence level and a proportion of 0.5 (worst-case scenario), the margin of error can be estimated as:

Margin of error = 1.96 * sqrt[(p * (1 - p)) / n]

where p is the proportion (0.5) and n is the sample size (2,277).

Plugging in the values, we get:

Margin of error = 1.96 * sqrt[(0.5 * 0.5) / 2,277] ≈ 0.020 or 2.0%

Therefore, the approximate margin of error for the approval rating estimate is 2.0%.

(b) To construct a 99% confidence interval for the true proportion, we can use the formula:

CI = p ± z*sqrt[(p * (1 - p)) / n]

where p is the sample proportion (0.44), n is the sample size (2,277), and z is the critical value for a 99% confidence level, which can be obtained from a standard normal distribution table or calculator. The value of z is approximately 2.58.

Plugging in the values, we get:

CI = 0.44 ± 2.58*sqrt[(0.44 * 0.56) / 2,277]

CI = 0.44 ± 0.032

CI = (0.408, 0.472)

Therefore, we can say with 99% confidence that the true proportion of voters who approve the president's performance lies between 40.8% and 47.2%.

(c) Since the 99% confidence interval does not include 50%, we can say that it is unlikely that the true proportion of voters who approve of the president's performance is 50%. However, we cannot rule out the possibility completely since the confidence interval is an estimate and there is still some level of uncertainty involved.

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Answer:

-12

Step-by-step explanation:

10-22=-12

enteric shop is 92.28 before

Answer:

2,325 miles

Step-by-step explanation:

The car goes 31mpg

Answer:

Step-by-step explanation:

As always, set the function equal to zero and solve for x:

x - 1 = 0 results in x = 1.  Thus, (1, 0) is one of the x-intercepts.

x + 6 = 0 results in x = -6.  (-6, 0) is the other x-intercept.

The height of the school building is 12.34 meters, rounded to the nearest hundredth of a meter.

Nakeisha's method of using a mirror on the ground to measure the height of her school building is based on the principles of similar triangles. When she places the mirror on the ground and steps away from it, she creates two triangles, one from her eyes to the mirror and the other from the mirror to the top of the school building. These two triangles are similar, which means that they have the same shape but different sizes.

To find the height of the school building, we need to use the ratios of the corresponding sides of the two similar triangles. Let's call the height of the school building "h". Then, the distance from Nakeisha's eyes to the mirror is (1.25 + 1.65) = 2.9 meters, and the distance from the mirror to the school building is (8.65 - 1.65) = 7 meters.

Using the ratios of the corresponding sides, we can set up the proportion:

h/7 = 2.9/1.65

Cross-multiplying and solving for h, we get:

h = 7 x (2.9/1.65) = 12.34 meters

It's important to note that this method of measuring height using a mirror on the ground assumes that the ground is flat and level. If there are any slopes or uneven surfaces, the results may be inaccurate. Additionally, it's crucial to take all necessary safety precautions when conducting any measurements from heights or near busy roads.

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The news article related to a current, specific U.S. trade barrier issue is given below.

Trade barriers are government-induced restrictions on international trade.The barriers can take many forms, including the following:

Tariffs,Non-tariff barriers to trade, Import licenses, Export licenses,Import quotas, Subsidies, Voluntary Export Restraints, requirements, Embargo, Currency devaluation, Trade restriction.

Trade barriers such as tariffs raise prices and reduce available quantities of goods and services for U.S. businesses and consumers, that lead to lower income, reduced employment, and lower economic output.

An increase in U.S. trade barries may also result in a decline in international trade in the United States.

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