Farmer Hernandez planted 804 rows of corn on her successful farm. Each row contained 26 individual plants. How many corn plants did Ms. Hernandez plant on her farm

Answer:

B

Step-by-step explanation:

Answer:

Answer is C) 3 And 4 only

Step-by-step explanation:

Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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Answer:

Net price = $191.25

Discount Price = $33.75

Step-by-step explanation:

Cost of one pen = $0.50

Cost of 200 pen = 200 × 0.50 = $100

Cost of one pad =$0.70

Cost of 150 pads = 150 × 0.70 = $105

Cost of one pencil = $0.20

Cost of 100 pencils = $20

Total cost of the order = 100 + 105 + 20 = $225

Discount % = 15% of 225

Discount price = ( 15% × 225) = $33.75

Total amount after discount = 225 - 33.75 = $191.25

Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation:

Answer:

1/2.

Step-by-step explanation:

Multiply each term by 28 to remove the fractions>

4y + 7 = 9

4y = 2

y = 1/2.

Answer:

The answer will be listed below.

Step-by-step explanation:

The scientific notation of 0.0094592 would be 9.4592x10^-3 power. The scientific notation of 0.94592 would be 9.4592x10^-1. To put a standard notation into scientific notation, simply move the decimal left to right until you have a number in the ones place that isn't zero.

Step-by-step explanation:

we need to divide 1450 by 3 to see how many miles should be driven each day to reach to goal in 3 days.

the wording seems to tell us we cannot use fractions of miles. we only can use whole miles.

1450 / 3 = 483.333333...

to be sure to reach Atlanta in 3 days when driving the same amount of miles every day, the minimum per day is then 484 miles per day (no fractions).

because 483 miles per day would give us only 1,449 miles in total and leave us 1 mile short of the target.

Answer:

no, there is no solution

Step-by-step explanation:

put it in desmos, but the slopes are the same, so they are parallel and never touch. So, no solution.

Step-by-step explanation:

We need to find (1 1/4) / (1/8).

(1 1/4) / (1/8)

= (5/4) / (1/8)

= (5/4) * 8

= 40/4

= 10.

Answer:

10/8 if not, I am sorry...

The length of the altitude of the equilateral triangle below is E) 6√3.

The answer is E) 6√3.

The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.

In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.

The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.

Therefore, the length of the altitude of the equilateral triangle is 6√3.

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Answer:

2.1 gallons

Step-by-step explanation:

Let V = volume of 20 % hydrogen peroxide = 5 gallons, V₁ = volume of 30 % hydrogen peroxide and V₃ = volume of 23 % hydrogen peroxide. So the final volume is V + V₁ = V₂

V₁ + 5 = V₂  (1)

Also, since quantity = concentration × volume,

Let Q = quantity of 20% volume hydrogen peroxide = 0.2V, Q₁ =  quantity of 20% volume hydrogen peroxide = 0.3V₁ and Q₂ = quantity of 23% volume hydrogen peroxide = 0.23V₂

So, 0.2V + 0.3V₁ = 0.23V₂

0.2 × 5 + 0.3V₁ = 0.23V₂

1 + 0.3V₁ = 0.23V₂

0.3V₁ - 0.23V₂ = -1  (2)

substituting equation (1) into (2), we have

0.3V₁ - 0.23(V₁ + 5) = -1

expanding the brackets, we have

0.3V₁ - 0.23V₁ + -0.23 × 5 = -1

0.07V₁ - 1.15 = -1

adding 1.15 to both sides, we have

0.07V₁ = -1 + 1.15

0.07V₁ = 0.15

dividing both sides by 0.07, we have

V₁ = 0.15/0.07

= 2.143 gallons

≅ 2.1 gallons to the nearest tenth

So, we need 2.1 gallons of 30 % hydrogen peroxide to obtain a mixture that is 23 % hydrogen peroxide.

Answer:

Given that Figure A and Figure B are similar polygons, the scale factor of Figure A to Figure B = 5/2.

Recall:

Similar Polygons have corresponding side lengths whose ratio are equal. That is, their pairs of corresponding sides are proportional.

The ratio of any of their corresponding side length = scale factor

Given the two pairs of similar polygons, the scale factor of figure A to figure B will be calculated as follows:

A side length of Figure A = 10

Corresponding side length of Figure B = 4

Scale factor of Figure A to Figure B = 10/4 = 5/2

Step-by-step explanation:

The constant of proportionality is usually used in stuff regarding to coordinates. It basically is that values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right. Those two values are proportional because they'll continue to move at the same predictable rate. The image below is that line. It doesn't just apply to linear equations though, it can apply to other kinds, like exponential or absolute value equations.

Sorry if this wasn't super concise, as this is a really hard topic to explain just over text. However, if it did help a lot, please give me brainliest as I'm trying to rank up. Thanks!

Constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The  relationship between diameter of circle and radius of circle is d=2r

Relationship between Area of a circle vs. its diameter

Area of circle=π(d/2)²

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

The values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right.

The x and y values are proportional because they'll continue to move at the same rate.

Hence constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

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Answer:

Scott will take 221 minutes to run 52 km

Step-by-step explanation:

Speed

The speed of an object can be calculated with the formula:

\(\displaystyle v=\frac{d}{t}\)

Where d is the distance traveled and t is the time taken.

Scott can run d=20 km in 85 minutes. Thus, his speed is:

\(\displaystyle v=\frac{20}{85}\ km/min\)

Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:

\(\displaystyle t=\frac{d}{v}\)

Since the speed has been already determined:

\(\displaystyle t=\frac{52}{\frac{20}{85}}\)

Multiplying by the reciprocal of the denominator:

\(\displaystyle t=52*\frac{85}{20}\)

t = 221 min

Scott will take 221 minutes to run 52 km

Answer:

221 min

Step-by-step explanation:

eligible on khan academy

Answer:

The direction cosines are:

\(\frac{5}{\sqrt{42} }\), \(\frac{1}{\sqrt{42} }\)  and  \(\frac{4}{\sqrt{42} }\)  with respect to the x, y and z axes respectively.

The direction angles are:

40°,  81° and  52° with respect to the x, y and z axes respectively.

Step-by-step explanation:

For a given vector a = ai + aj + ak, its direction cosines are the cosines of the angles which it makes with the x, y and z axes.

If a makes angles α, β, and γ (which are the direction angles) with the x, y and z axes respectively, then its direction cosines are: cos α, cos β and cos γ in the x, y and z axes respectively.

Where;

cos α = \(\frac{a . i}{|a| . |i|}\)               ---------------------(i)

cos β = \(\frac{a.j}{|a||j|}\)               ---------------------(ii)

cos γ = \(\frac{a.k}{|a|.|k|}\)             ----------------------(iii)

And from these we can get the direction angles as follows;

α =  cos⁻¹ ( \(\frac{a . i}{|a| . |i|}\) )

β = cos⁻¹ ( \(\frac{a.j}{|a||j|}\) )

γ = cos⁻¹ ( \(\frac{a.k}{|a|.|k|}\) )

Now to the question:

Let the given vector be

a = 5i + j + 4k

a . i =  (5i + j + 4k) . (i)

a . i = 5         [a.i is just the x component of the vector]

a . j = 1            [the y component of the vector]

a . k = 4          [the z component of the vector]

Also

|a|. |i| = |a|. |j| = |a|. |k| = |a|           [since |i| = |j| = |k| = 1]

|a| = \(\sqrt{5^2 + 1^2 + 4^2}\)

|a| = \(\sqrt{25 + 1 + 16}\)

|a| = \(\sqrt{42}\)

Now substitute these values into equations (i) - (iii) to get the direction cosines. i.e

cos α = \(\frac{5}{\sqrt{42} }\)

cos β =  \(\frac{1}{\sqrt{42} }\)              

cos γ =  \(\frac{4}{\sqrt{42} }\)

From the value, now find the direction angles as follows;

α =  cos⁻¹ ( \(\frac{a . i}{|a| . |i|}\) )

α =  cos⁻¹ ( \(\frac{5}{\sqrt{42} }\) )

α =  cos⁻¹ (\(\frac{5}{6.481}\) )

α =  cos⁻¹ (0.7715)

α = 39.51

α = 40°

β = cos⁻¹ ( \(\frac{a.j}{|a||j|}\) )

β = cos⁻¹ ( \(\frac{1}{\sqrt{42} }\) )

β = cos⁻¹ ( \(\frac{1}{6.481 }\) )

β = cos⁻¹ ( 0.1543 )

β = 81.12

β = 81°

γ = cos⁻¹ ( \(\frac{a.k}{|a|.|k|}\) )

γ = cos⁻¹ (\(\frac{4}{\sqrt{42} }\))

γ = cos⁻¹ (\(\frac{4}{6.481}\))

γ = cos⁻¹ (0.6172)

γ = 51.89

γ = 52°

Conclusion:

The direction cosines are:

\(\frac{5}{\sqrt{42} }\), \(\frac{1}{\sqrt{42} }\)  and  \(\frac{4}{\sqrt{42} }\)  with respect to the x, y and z axes respectively.

The direction angles are:

40°,  81° and  52° with respect to the x, y and z axes respectively.

To convert the number given in base 7 to a bse 10 number we follow the procedure shown, that is, we need to multiply each number by the appropiate power of seven (given by their position) and then add them, then we have that:

Therefore:

Answer:

\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)\( \boxed{75 : 100 }$$$$ \)

Answer:

On average, such a couple would have 2.2 children. Since we cannot have a fractional part of a child, we can interpret this as an expected value of 2 or 3 children.

Step-by-step explanation:

To calculate the average number of children that a couple would have, we need to find the expected value, denoted as E(X), of the probability distribution.

The formula for calculating the expected value is E(X) = Σ (X * P(X)), where X represents the possible outcomes (number of children) and P(X) represents the corresponding probabilities.

In this case, the possible outcomes are 1, 2, and 3 children, and their respective probabilities are 0.2, 0.4, and 0.4, as given in the table.

Using the formula, we calculate:

E(X) = (1 * 0.2) + (2 * 0.4) + (3 * 0.4)

     = 0.2 + 0.8 + 1.2

     = 2.2

Therefore, on average, such a couple would have 2.2 children. Since we cannot have a fractional part of a child, we can interpret this as an expected value of 2 or 3 children. It indicates that, on average, the couple is likely to have around 2 children, but there is a possibility of having 3 children as well, given the specified probabilities.

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There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.

To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:

C(26, 4) = 26! / (4! * 22!) = 14,950

Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:

Therefore, the total number of such words is:

4 * 3 * 1 = 12

Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:

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Answer:

  6 seconds

Step-by-step explanation:

The area of interest increases from 4 square feet to 16 square feet, an increase of 12 square feet. Since the area increases by 2 square feet each second, the time required for it to increase 12 square feet is ...

  (12 square feet)/(2 square feet/second) = 6 seconds

A semicircle has been cut out of a rectangular paperboard that is 20 inches long and 12 inches broad, as seen below. After the semicircle is taken out, the paperboard's remaining perimeter is 34.58 inches.

The paperboard has a length of 20 inches and a width of 12 inches. A semicircle is cut out of it, which means we need to find the perimeter of the remaining part.

The diameter of the semicircle is equal to the width of the paperboard, which is 12 inches. So, the radius of the semicircle is half of the diameter, which is 6 inches.

The perimeter of the remaining part will be the sum of the length of the paperboard and the two straight sides of the semicircle.

The length of the paperboard is 20 inches, and the two straight sides of the semicircle are equal to the diameter of the semicircle, which is 12 inches. So, the perimeter of the remaining part is:

P = 20 + 12 + 12 = 44 inches

However, we also need to subtract the length of the curved part of the semicircle from the perimeter. The length of the semicircle can be found using the formula:

C = πr

where C is the circumference of the semicircle and r is the radius.

Since we have a semicircle, we need to divide the circumference by 2. So, the length of the curved part of the semicircle is:

C/2 = (π x 6) / 2 = 9.42 inches (rounded to two decimal places)

Therefore, the perimeter of the remaining part is:

P = 44 - 9.42 = 34.58 inches (rounded to two decimal places)

So, the perimeter of the remaining paperboard is 34.58 inches.

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(2x-5)(x+2)

First we multiply the binomials

Based on the above, the options that could be their individual weights are:

B. 3 1/4 pounds  and 5 1/2 pounds

C. 4 3/4 pounds and 4 pounds

E. 6 pounds and 2 3/4 pounds

From the question, we are going to analyze the options to see which ones satisfy the given equation:

A. 7 pounds and 3/4 pound:

7 + 3/4

= 7 3/4 pounds, and thus, it does not equal 8 3/4 pounds.

B. 3 1/4 pounds and 5 1/2 pounds:

3 1/4 + 5 1/2

= 8 3/4 pounds, and thus it satisfies the equation.

C. 4 3/4 pounds and 4 pounds:

4 3/4 + 4

= 8 3/4 pounds, thus satisfies the equation.

D. 8 pounds and 1/4 pound:

8 + 1/4

= 8 1/4 pounds, and thus does not equal 8 3/4 pounds.

E. 6 pounds and 2 3/4 pounds:

6 + 2 3/4

= 8 3/4 pounds, and thus it satisfies the equation.

Therefore, the options that satisfy the equation of 8 3/4 pounds are options B, C, and E.

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See text below

Two bags of flour have a total weight of 8  whole number 3/4 pounds. What could be their individual weights?

Select all that apply.

A. 7 pounds and 3/4 pound

B. 3 1/4 pounds  and 5 1/2 pounds

C. 4 whole number  3/4 pounds and 4 pounds

D. 8 pounds and 1/4 pound

E. 6 pounds and 2 whole number 3/4 pounds

Answer:

x = -3

Step-by-step explanation:

The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.

2x + 9 = 7x + 24

Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.

2x - 7x + 9 = 7x - 7x + 24

-5x + 9 = 24

Then, we'll remove 9 from both sides.

-5x + 9 - 9 = 24 - 9

-5x = 15

Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.

-5x/-5 = 15/-5

x = -3

And there it is... the value of x. Hopefully that's helpful! :)

For measuring the vegetable garden, Matsu should use the unit of feet.

Finding a number that represents the amount of anything is what measurement is all about.

For the given question;

The dimensions of the garden are the length. This could be calculated by using the two values in the option; That is inches and feet.

But as inches is a used for measuring the small length ad feet is the larger unit.

Thus, dimensions of the vegetable garden of Matsu are calculated by using feet.

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Answer:

For measuring the vegetable garden, Matsu should use the unit of feet.

What is defined as the measurement units?

Finding a number that represents the amount of anything is what measurement is all about.

A measurement unit is a unit of measurement that is used to represent a physical quantity.

For example, the unit of measurement is the defined magnitude of quantity that is being used as the norm for measuring the same type of quantity, as adopted and specified by law or convention.

The imperial unit, also known as the British imperial system, is the standard or default weights and measures system.

Metric System: The metric system is by far the most recent and widely used international system of measurement.

Natural System: Natural units are physical units of measurement that are entirely based on common physical constants.

For the given question;

The dimensions of the garden are the length. This could be calculated by using the two values in the option; That is inches and feet.

But as inches is a used for measuring the small length ad feet is the larger unit.

Thus, dimensions of the vegetable garden of Matsu are calculated by using feet.

Step-by-step explanation:

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

The distance is 32 to get the answer just add them both together since one is negotiable .

We have given that,

point a is located at 18 on the number line. point b is located at -14 on the number line.

We have to determine the distance between point a and point b on the number line.

A number line is a horizontal straight line with numbers placed at equal distances from each other along that line. Some will have a specified starting

The distance is 32 to get the answer just add them both together since one is negotiable .

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Answer:

91

Step-by-step explanation:

This is the answer, I took a pic of the work

Answer:

91

Step-by-step explanation:

2

13x

7

-------

9 1

7 X 3 = 21

7×1 =7

7+2 =8

8+1 = 9