Mark bought 4 pounds of apples for 7.56 what was the cost per pound

Answer:

\(w=4\)

Step-by-step explanation:

So we have the equation:

\(3w+7=19\)

Subtract 7 from both sides:

\(3w=12\)

Divide both sides by 3:

\(w=4\)

So, the value of  w is 4.

And we're done!

The value of w in the equation 3w + 7 = 19 will be 4 .

Given ,

Equation : 3w + 7 = 19

Here,

Solve the equation ,

Take 7 from LHS to RHS ,

3w = 19 - 7

3w = 12

Divide both LHS and RHS by 3

w = 12/3

w = 4

Thus the value of w will be 4 .

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Answer:

x=3

Step-by-step explanation:

The equation here is x=3. If it were y=3, then it would be a horizontal line.

\(f(1) = -6\)

Given:

\(f(x) = \begin{cases} -(x +5)^2 &\text{for} &x \leqslant -3 \\ -2x -4 &\text{for} &-3 < x \leqslant 1 \\ 5 &\text{for} &x > 1 \end{cases}\)

\(f(1) = -2x -4 \space , \space x = 1 \\ f(1) = -2(1) -4 \\ f(1) = -2 -4 \\ f(1) = -6\)

Answer:

A.

Step-by-step explanation:

If you take -6 and add 12, you first add 6 to make it zero, and have 6 to add after that. This gives you 6* F

The four different conic sections are the circle, ellipse, parabola, and hyperbola. They are called conic sections because they are formed by the intersection of a plane and a cone.

Circle: A circle is formed when the plane intersects the cone at an angle perpendicular to its axis. The circle has an eccentricity of 0, which means the distance between any point on the circle and its center is always the same.

Ellipse: An ellipse is formed when the plane intersects the cone at an angle that is not perpendicular to its axis. The ellipse has an eccentricity between 0 and 1, which means the distance between the two foci and any point on the ellipse is constant.

Parabola: A parabola is formed when the plane intersects the cone parallel to one of its sides. The parabola has an eccentricity of 1, which means it has a single focus point.

Hyperbola: A hyperbola is formed when the plane intersects the cone at an angle that is greater than the angle formed by the cone's side and its axis. The hyperbola has an eccentricity greater than 1, which means the distance between the two foci and any point on the hyperbola is constant.

In summary, the eccentricity of a conic section describes how stretched or elongated the shape is. A circle has an eccentricity of 0, an ellipse has an eccentricity between 0 and 1, a parabola has an eccentricity of 1, and a hyperbola has an eccentricity greater than 1.

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Answer:

V=462.076m ^3

Step-by-step explanation:

The average of the other two numbers is 2.5 when the average of the four different positive whole numbers is 4, and the difference between the largest and smallest numbers is as large as possible.

To find the average of the other two numbers when the average of four different positive whole numbers is 4 and the difference between the largest and smallest numbers is as large as possible, let's analyze the scenario.

Since the average of the four numbers is 4, their total sum is 4 multiplied by 4, which is 16.

To maximize the difference between the largest and smallest numbers, we need to consider the extreme cases. Let's assume the smallest number is 1, and the largest number is x.

Therefore, the sum of the two remaining numbers would be 16 - 1 - x = 15 - x.

To maximize the difference between the largest and smallest numbers, we want to minimize the sum of the two remaining numbers. This means we should choose the two numbers to be as close to each other as possible.

If we select the two numbers to be consecutive integers, their sum would be minimized. Let's say the two numbers are a and a + 1.

The sum of the two numbers would be a + (a + 1) = 2a + 1.

We want this sum to be as small as possible, so we should choose the smallest possible value for 'a.' In this case, a = 2.

Therefore, the two numbers are 2 and 3, and their sum is 2 + 3 = 5.

To find the average of these two numbers, we divide their sum by 2 (the number of values).

The average of the other two numbers is 5 divided by 2, which is:

**Average = 5/2 = 2.5**

Thus, the average of the other two numbers is 2.5 when the average of the four different positive whole numbers is 4, and the difference between the largest and smallest numbers is as large as possible.

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The final velocity in the given equation is −0.5, when the acceleration is -5.

The distance covered by a body in one unit of time in a specific direction is referred to as velocity. M/s is always the only metric unit of velocity.

Speed and velocity are different in that:

v = u + at

here,

a = average acceleration

v = final velocity

u = initial velocity

t = time

given,  u = 2

a = -5

t = 1/2 = 0.5

putting the values

v = 2 + (-5)(0.5)

v = 2 - 2.5

v = −0.5

Thus, The final velocity in the given equation is −0.5, when the acceleration is -5.

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The equation of a circle that has a radius of 9 and a center at (-2, 7) is the option;

A circle is a set that comprises all points that are equidistant from a point on a plane

The general form of the equation of a circle is; x² + y² + 2•g•x + 2•f•y + c = 0

The equation of a circle can also be presented in standard form as follows;

Where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius of the circle

The given parameters are;

The radius of the circle, r = 9

Taking the coordinates of the center of the circle, (h, k) = (-2, 7)

The equation of the circle in standard form is therefore obtained by plugging in the values of h, k, and r as follows;

(x - h)² + (y - k)² = r²

Which gives;

(x - (-2))² + (y - 7)² = 9²

Which gives;

(x + 2)² + (y - 7)² = 9² = 81

The equation of the circle is therefore the option;

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Answer:

11.750

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Answer:

x=9

Step-by-step explanation:

The total amount they paid for dinner that night = $22.2

Dinner bill = $18.50

They paid 5% food tax

Food tax = (5/100) x 18.50

Food tax = $0.925

They left a 15% tip for the waiter

Tip = (15/100) x 18.50

Tip = $2.775

Total amount paid = Dinner bill + Food tax + Tip

Total amount paid = $18.50 + $0.925 + $2.775

Total amount paid = $22.2

The total amount they paid for dinner that night = $22.2

let's recall that an angle bisector, bisects = cuts into two equal halves.

Check the picture below.

Answer:

I guess -1/2?

Step-by-step explanation:

Answer: 0

0 is closest to 7/18 on a number line. -1 is 1 farther than zero. -1/2 is one half way from the number 7/18. So, the answer to the question is 0.

Hope this helps!

Answer:

32

Step-by-step explanation:

8x4=32

Answer:need more time to solve-

Step-by-step explanation: A= b x h

a. i. There are 27,040,000 different passwords are possible if repetition of digits and letters is allowed and passwords are not case sensitive  (so 123AB is the same as 123aB)

ii. There will be 99,532,800  different passwords are possible if repetition of digits and letters is not allowed and the passwords are case-sensitive

b. i. The probability that all 4 randomly selected students were math majors is  0.520

ii. There are 4,725 different pairs of math majors that could be chosen for the committee.

a. i) There are 10 choices for each of the first 3 digits, and 26 choices for each of the last 2 letters. Since the password is not case sensitive, we can choose either uppercase or lowercase letters, so there are 26 + 26 = 52 choices in total for each letter. Therefore, the total number of different passwords is:

10 x 10 x 10 x 52 x 52 = 27,040,000

ii) There are 10 choices for the first digit, 9 choices for the second digit (since we can't repeat the first digit), 8 choices for the third digit (since we can't repeat the first two digits), and 52 choices for the first letter. For the second letter, there are 51 choices left (since we can't repeat the first letter), but we need to distinguish between uppercase and lowercase letters, so there are 52 x 51 = 2,652 choices for the two letters in total. Therefore, the total number of different passwords is:

10 x 9 x 8 x 52 x 2,652 = 99,532,800

b) i) The total number of ways to select a 4-student committee from 20 students is:

20 choose 4 = 4,845

The number of ways to select a committee consisting of 4 math majors is:

10 choose 4 = 2,520

Therefore, the probability that all 4 randomly selected students were math majors is:

2,520 / 4,845 = 0.520

ii) The number of ways to select a 4-student committee with exactly two math majors is:

(10 choose 2) x (10 choose 2) x (15 choose 0) = 4,725

(We choose 2 math majors from 10, and 2 non-math majors from 15, since there are 5 biology majors and 5 music majors to choose from.)

Therefore, there are 4,725 different pairs of math majors that could be chosen for the committee.

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Answer:

i dont know if its right but i think its 2.01

if im wrong im so sorry

The height is 2.0066 meter.

Number systems are systems in mathematics that are used to express numbers in various forms and are understood by computers. A number is a mathematical value used for counting and measuring objects, and for performing arithmetic calculations. Numbers have various categories like natural numbers, whole numbers, rational and irrational numbers, and so on. Similarly, there are various types of number systems that have different properties, like the binary number system, the octal number system, the decimal number system, and the hexadecimal number system.

A number system is a system representing numbers. It is also called the system of numeration and it defines a set of values to represent a quantity

Given:

height= 6 feet and 7 inches

Convert feet to meter

1 feet= 0.3048 meter

6 feet = 6* 0.3048

          =1.8288 meter

Now, convert inch to meter

1 inch= 0.0254 meter

7 inch = 0.0254 * 7

          =0.1778 meter

So,

6 feet and 7 inches= 1.8288 + 0.1778

                               = 2.0066 meter

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Answer:

sec x = √10 /3

Step-by-step explanation:

tanx = 1/3

tan²x = (1/3)²

= 1/9

Trigonometric identity

sec²x - tan²x = 1

sec²x = 1 + tan²x

sec²x = 1 + 1/9

= 10/9

Now, sec x = √(10/9)

= √10 / 3

Hope this answer helps you....

The required probabilities are:P(Ahmad will score two baskets) = 8/25P(Ahmad will score at least one basket) = 18/25.

Given that Ahmad has two attempts to score a basket in basketball. He tries this in 25 times. The table shows the results-Basket scoredFrequency10 82 73 7The total number of trials is 25. Now, find the probability that Ahmad will score -Two baskets:P(Ahmad will score two baskets) = 8/25 (From the table, the frequency of Ahmad scoring two baskets is 8)At least one basket:

Here, we will find the probability of Ahmad scoring at least one basket. So, P(Ahmad will score at least one basket) = 1 - P(Ahmad will not score any basket)Now, P(Ahmad will not score any basket) = Frequency of 0 score/Total number of trials= 7/25Thus, P(Ahmad will score at least one basket) = 1 - 7/25= 18/25 (approx)So, the required probabilities are:P(Ahmad will score two baskets) = 8/25P(Ahmad will score at least one basket) = 18/25.

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Answer:

5

Step-by-step explanation:

-8x + 25 = -15

                 -25 = -40  then

-40 divide -8 to get 5

Answer: x = 5

The first step of the inverse operation is to subtract 25 on both sides of the equation to cancel out the 25 from the left side:

-8x+25 (-25) = -15 (-25)

-8x = -40

Next, you need to divide -8 on both sides to isolate the variable, which would give you the answer to x. The negatives would cancel out, leaving you with: x = 5

hope that helps :)

1. Yes, F(z) = az is a linear transformation on C, the set of complex numbers, when considered as a real vector space. It satisfies both additivity and scalar multiplication properties.

2. L(z) = ž, where ž represents the conjugate of z, is a linear transformation on C when considering it as a real vector space. It preserves both additivity and scalar multiplication.

3. However, L(z) = ž is not a linear transformation on C when considering it as a complex vector space since the conjugation operation is not compatible with scalar multiplication in complex numbers.

1. Yes, F is a linear transformation.

2. No, L is not a linear transformation.

3. Yes, L is a linear transformation when considering C as a complex vector space.

1. To determine whether F is a linear transformation, we need to check two properties: additive preservation and scalar multiplication preservation. Let's take two vectors, z1 and z2, in C and a scalar c in R. Then, F(z1 + z2) = a(z1 + z2) = az1 + az2 = F(z1) + F(z2), which satisfies the additive preservation property. Also, F(cz) = a(cz) = (ac)z = c(az) = cF(z), which satisfies the scalar multiplication preservation property. Therefore, F is a linear transformation.

2. For L to be a linear transformation, it must also satisfy the additive preservation and scalar multiplication preservation properties. However, L(z1 + z2) = ž1 + ž2 ≠ L(z1) + L(z2), which means it fails the additive preservation property. Hence, L is not a linear transformation.

3. When considering C as a complex vector space, the definition of L(z) = ž still holds. In this case, L(z1 + z2) = ž1 + ž2 = L(z1) + L(z2) and L(cz) = cž = cL(z), satisfying both the additive preservation and scalar multiplication preservation properties. Therefore, L is a linear transformation when C is considered as a complex vector space.

Linear transformations are mathematical mappings that preserve vector addition and scalar multiplication. In the given problem, F is a linear transformation because it satisfies both the additive preservation and scalar multiplication preservation properties. On the other hand, L is not a linear transformation when C is considered as a real vector space because it fails to preserve vector addition. However, when C is treated as a complex vector space, L becomes a linear transformation as it satisfies both properties. The distinction arises due to the fact that complex vector spaces have different rules for addition and scalar multiplication compared to real vector spaces.

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A $100 bill and a dime differ by a magnitude of 3.

Orders of magnitude can be used in order to define large quantities efficiently and more easily. A dime is a currency used in the US that is equivalent to 0.10 dollars.

So we can represent a dime as 10-¹ of a dollar

and we can write 100 dollars as 10² of a dollar.

Therefore the difference in the order of magnitude of 100 dollars and a dime would be the difference between the powers or exponents of those two quantities,

That is,

2-(-1) = 3

So, the dollar differs by a magnitude of 3 from a dime.

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Answer:

The new version contains 15 lemons, 6 cups of water and 6 tablespoons of honey

Step-by-step explanation:

The given ingredients used to make the lemonade are;

The number of lemons = 5

The number of cups of water = 2

The number of tablespoons of honey = 2

Therefore a new version the lemonade recipe that would make more lemonade but that would still taste the same as the lemonade made with the given recipe is found by scaling up the quantities of the ingredients in the given recipe as follows;

The  ingredients used to make the new lemonade are obtained by multiplying the ingredients in the given recipe by a factor larger than 1;

The number of lemons in the new recipe = 5 × 3 = 15

The number of cups of water in the new recipe = 2 × 3 = 6

The number of tablespoons of honey  in the new recipe = 2 × 3 = 6

The new version contains 15 lemons, 6 cups of water and 6 tablespoons of honey.

Answer: A

Step-by-step explanation:

A is the only correct answer since she wants to spend no more than $200.00 while getting all the training she wants.

The other choices have " > " in their inequalities and thus proven wrong.

Step-by-step explanation:

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x-value of each point by 2.