A shopper needs 48 hot dogs. The store sells identical hot dogs in 2 differently sized packages. They sell a six-pack of hot dogs for $2.10, and an eight-pack of hot dogs for $3.12. Should the shopper buy 8 six-packs, or 6 eight-packs?

Answer:

D 40

Step-by-step explanation:

2x^2-10  if (5)

2(5)^2-10

2(25)-10

50-10

40

Answer:

12

Step-by-step explanation:

if I have 1 foot and I split it into 3 sections (1/3 of a sandwich) I would have 3 servings, because I have 4 feet I have to time 3 times 4, which equals 12

Answer:

.

Step-by-step explanation:

The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.

Explanation :

To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.

Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93

To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.

This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.

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Answer:5.67* 10^7

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation

The derivative is used to find the slope of the line tangent to the curve tan−1(x−2y²)=x²−3y tan−1(2)−1 tan−1(x−2y²)=x²−3y tan−1(2)−1.

What is a tangent line?

In geometry, a tangent line to a plane curve at a given point is a straight line that "just touches" the curve at that point and no closer. It is the same as the limit of secant lines when the two endpoints of the secant line get closer and closer to each other. Some sources refer to a tangent line as a tangent. In general, it is a line that intersects a curved surface at just one point, or the derivative of a function at a certain point.

What is a derivative?

The derivative is a number that expresses how quickly a function changes at a particular point. In general, the derivative of a function measures the slope of the line that best approximates the function at that point. The derivative is a useful concept in calculus, which deals with the study of rates of change and their applications.How to find the derivative of a function?In calculus, the derivative of a function is the slope of the tangent line to the function at a given point. To find the derivative of a function, we can use the following steps:Find the difference quotient by subtracting the value of the function at two points, divided by the difference between those points.Take the limit as the difference between those points approaches zero.The result is the derivative of the function at that point.

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Answer:

1) The system of equations are;

y - 2·x = 5

y + x = 38

2) y = 27 World Series championships

x = 11 World Series championships

Step-by-step explanation:

1) The number of World Series championships won by the Yankees = y

The second most-winning team = The St. Louis Cardinals

The number of World Series championships won by the St, Louis Cardinals = x

From the details of the number of World Series won by the Yankees and the St. Louis Cardinals we are given, we can write the following system of equations  to find the number of World Series championships won by the Yankees, 'y', and the number of World Series championships won by the Cardinals, 'x' as follows;

y - 2·x = 5...(1)

y + x = 38...(2)

2) Making 'y' the subject of both equations gives;

For equation (1)

y = 5 + 2·x

For equation (2)

y = 38 - x

Equating both 'y' values gives;

y = 5 + 2·x = 38 - x

2·x + x = 38 - 5

3·x = 33

∴ x = 33/3 = 11

The number of World Series championships won by the St, Louis Cardinals, x = 11 World Series championships

From y = 38 - x, we have;

y = 38 - x

∴ y = 38 - 11 = 27

Therefore, the number of World Series championships won by the Yankees, y = 27 World Series championships

In system equation method,

a) Amount of red portion = 240 ml.

b) There are 300 mL of blue potion used and 100 mL of red potion used.

c)  There is a ratio of 2 (blue potion):1 (red potion), there will be a 35% amount of magical syrup.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

(a)  We can use a system equation here to solve this.

Let x=amount of red potion used

Let y=total amount of potion in solution

Then,

=>200 + x =  y

=> 0.15(200) + 0.75x = 0.25y

0.15(200) because 15% of the blue potion=.15 and there is 200mL.

0.75x because 75% of the red potion=.75 and there is x amount of it

0.25y because we want 25% of the total potion=.25 and there is y amount of it.

We can substitute for y in the second equation:

=>0.15(200) + 0.75x = 0.25(200 + x)

=> 30 + 0.75x = 50 + 0.25x

=> -20 = -0.5x

=> x = 40

Knowing that x=40, we know that y=240, meaning our answer is 240.

b.) We can again use a system for this problem

Let x=Amount of red potion

Let y=Amount of blue potion

=> x + y = 400

=> 0.3(400) = 0.15y + 0.75x

0.3(400)=30% of the 400 mL

0.15y=15% of the magic syrup

0.75x=75% of the magic syrup

We can substitute for x in this equation:

=>120 = 0.15y + 0.75(400 - y)

120 = 0.15y + 300 - 0.75y

-180 = -0.6y

y = 300, x = 100

There are 300 mL of blue potion used and 100 mL of red potion used.

c.) Let x=amount of red potion

Let y=amount of blue potion

=> 0.15x + 0.75y = 0.35(x + y)

0.35(x+y) because the total amount of the potion is x+y

=>0.15x + 0.75y = 0.35x + 0.35y

0.4y = 0.2x

2y = x

Whenever there is a ratio of 2 (blue potion):1 (red potion), there will be a 35% amount of magical syrup.

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If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)

The total volume of the ball will be;

= Total volume - Volume of hollow part

= 4/3πr³ - 4/3πr³

= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³

= 4 × 3.14 × 9 - 4/3 × 3.14 × 8

= 113.04 - 33.52

= 79.52

If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;

= 79.52 × 3.25

= 258.44 g

Now, if there are 8 spheres in one box, the weight if box will be;

= 258.44 × 8

= 2,067.52 g

_____________________________

Ahh! Finally done with this, if you have any doubt just do ask me :)

Answer:

551.51

Step-by-step explanation:

Approximately 9.38 gallons of paint are needed for the room. we can convert the area to square yards and then divide it by the coverage of one gallon of paint, which is 19 square yards.

First, we need to convert the area of the room from square feet to square yards. Since 1 yard is equal to 3 feet, 1 square yard is equal to (3 ft)^2 = 9 square feet. Therefore, the area of the room in square yards is 1604 ft^2 / 9 ft^2 = 178.22 square yards.Next, we divide the area in square yards by the coverage of one gallon of paint, which is 19 square yards. This will give us the number of gallons of paint needed 178.22 square yards / 19 square yards/gallon = 9.37789474 gallons. Rounding the answer to the appropriate number of significant figures, we find that approximately 9.38 gallons of paint are needed for the room.

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The unit of measurement used to describe how far a set of values are from the mean is the standard deviation. Therefore, the correct answer is (b) standard deviation.

The variance is another measure of spread, but it is not in the form of the original units of measurement. The median is a measure of central tendency and not a measure of spread. The mode is the most frequently occurring value in a set and is also not a measure of spread.
The unit of measurement used to describe how far a set of values are from the mean is the Standard Deviation (b). It is calculated by taking the square root of the variance and provides a measure of the average distance between each value in the set and the mean. The Median (c), on the other hand, is the middle value in a set when the values are arranged in numerical order.

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Answer:

369

Explanation:

Calculate each of the groups mentioned. You will derive that 360 students and bilingual and 9 of the teachers are bilingual. Add them together and you got your answer!

- Hope this helped.

Answer:

360 students and 9 teachers

Step-by-step explanation:

30/100 x 1200=360 students

15/100 x 60=9 teachers

To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%

Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%

Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.

The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%

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Answer:

192

Step-by-step explanation:

look at the given picture

hope you like my answer its 19

Answer: 518

Step-by-step explanation: Just try it

Answer:

518

Step-by-step explanation:

take the amount of money Justin has (487) and subtract it from the cost of the computer (1,005) to find the difference.

distance = 3.8×10^5

travelled = 4

total distance = 3.8×10^5 × 4

=> 15.2×10^5

The total distance traveled by the spacecraft is 1.52 × 10⁶ km in standard form.

The distance from the Earth to the Moon is 3.8 × 10⁵ km.

If a spacecraft travels this distance four times, we can calculate the total distance traveled by multiplying the distance to the Moon by 4.

Total distance traveled

= (Distance to the Moon) × (Number of times traveled)

= 3.8 × 10⁵ km × 4

Multiplying the numbers:

Total distance traveled

= 15.2 × 10⁵ km

To express the answer in standard form, we need to rewrite it with a coefficient between 1 and 10 and an appropriate power of 10. In this case, we can rewrite

15.2 × 10⁵ km as:

Total distance traveled

= 1.52 × 10⁶ km

Therefore, the total distance traveled by the spacecraft is 1.52 × 10⁶ km in standard form.

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Answer:

B.) 42.9

Step-by-step explanation:

The percent that we are trying to find out is 12/28

I know this because if you add the 12 and 16 which is the total amount of people given then it leaves us with an amount of 28 people. Since we are trying to find the percent of the number of people who like fish we have to divide the total by 12 (the number of people who like fish)

Anyways 12 divided by 28 = 42.857etc.

If we simplify this then that gives us our answer of B.) 42.9

The value of x in quadrilateral JKLM is 29

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

The sum of the interior angles in a quadrilateral is 360°

∠J + ∠K + ∠L + ∠M = 360

3X + 90 + 2X + 8 + 4X + 1 = 360

9x + 99 = 360

9x = 360 - 99

9x = 261

x = 261/9

x = 29

In conclusion 29 is the value of x in the quadrilateral.

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Answer:

30

Step-by-step explanation:

Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)  

 = \(\sqrt{3^2+(1+3)^2}\)

 = \(\sqrt{3^2+4^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

Step-by-step explanation:

1 with second

2 with third

3 with fourth

4 with first

Answer:

The order is 4,3,1,2

Step-by-step explanation:

Answer:

(1 ,3)

Step-by-step explanation:

i took the quiz on k12

The graphs of the system of equations are attached below. then the correct solution is (1,3)

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

We have been given a system of the equation as;

y= 3 x

y =−x+4

Then all critical points of the function f(x, y) = x. 2 y -x. 2 -3xy +. 2y + 5

Solving;

y = 3x

Then 3x = -x + 4

4x = 4

x = 1

Y = 3x = 3

Hence, the intersection point is (1, 3)

The graphs of the system of equations is attached below.

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

Answer: -15x - 23

Step-by-step explanation:

There u go- Lily ^_^

Answer:

y = -6

Step-by-step explanation:

-6y + -7 = 29

       +7    +7

      -6y = 36  

       -6      -6

          y = -6

Here's our original equation. We're trying to get y by itself, so we first subtract seven. (What you do to one side, you do to the other). That leaves us with -6y = 36. Next, let's divide both sides by -6. This leaves us with our final equation, y = -6. I really hope this helps!