how many feet in acre

Answer:

2/3 gallons

Step-by-step explanation:

0.67 gallons or 2/3 gallons is used on the fence.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

Amount of gallons = 2 gallons

The amount used on a fence.
= 1/3 of 2 gallons

Now,

1/3 x 2 gallons

= 2/3 gallons

= 0.67 gallons

Thus,

0.67 gallons or 2/3 gallons is used on the fence.

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The solution to the equation 25 - x = 15 is x = 10.

This question is incomplete, the complete question is;

What is the solution to this equation?

25 - x = 15

Given the equation in the question;

25 - x = 15

To solve for x, collect like terms and solve for x.

25 - x = 15

Subtract 25 from both sides

25 - 25 - x = 15 - 25

-x = 15 - 25

-x = -10

Divide both sides by -1

-x / -1 = -10 / -1

x = -10 / -1

x = 10

Therefore, the value of x is 10.

Option C) 10 is the correct answer.

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A number z divided by 2 is at least -6 is expressed as z ÷ 2 = ≥ -6

One of the fundamental arithmetic operations in mathematics is the division, which is the process of dividing a group of items into equal parts. Every day, we might use the division technique in various situations.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.

On a fundamental level, counting the instances in which one number is contained within another is one interpretation of the division of two natural numbers. 7 It's not necessary for this number to be an integer.

The expression to represent this problem is:

z ÷ 2 = ≥ -6

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3/4 in a decimal, divide the denominator by the numerator to get 3/4 as a decimal 3/4 is 0.75.

We divide the numerator by the denominator to convert a fraction to a decimal number. This results in a decimal value because, when dividing, we add the decimal place and then add the necessary number of zeros to finish the division.

3/4

3[1/2 x 1/2]

3 x [0.5 x 0.5]

3 x 0.25

0.75

To convert a fraction to a decimal, all you have to do is divide the numerator by the denominator. We position the number over its place value when converting a decimal to a fraction.

Just dividing the numerator by the denominator is all that is required to convert a fraction to a decimal.

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Answer:2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2.13 (m + 2) = 8.52

m + 2 = 8.52/2.13

m + 2 = 4

m = 4 - 2

m = 2

In the triangle BCD the value of ∠BDC is 105°.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

In ΔABC and ΔBCD it is given that -

∠A ≅ ∠B

∠ADC ≅ ∠BCD

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

So, by the theorem stated above -

∠ACD ≅ ∠BDC

In ΔACD he sum of angles of a triangle is 180°.

The equation will be -

∠ACD + ∠ADC + ∠A = 180°

Substitute the values in the equation -

∠ACD + 30° + 45° = 180°

∠ACD + 75° = 180°

∠ACD = 180° - 75°

∠ACD = 105°

Now, since ∠ACD ≅ ∠BDC.

So, ∠BDC = 105°.

Therefore, the measure of ∠BDC is 105°.

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The simple interest Samuel will have to pay will be 60 Rs.

What exactly is simple interest?

Simple Interest is a simple way for computing interest on a loan or principle amount. Simple interest is a concept that is employed in numerous industries, including banking, finance, and automobiles. When you make a loan payment, the monthly interest is deducted first, followed by the principle amount.

The simple interest formula is as follows:

SI=P*R*T/100

SI stands for simple interest.

P stands for principal.

R is the interest rate (in percentage)

T denotes the length of time (in years)

The following formula is used to compute the total amount:

Amount (A) = Principal (P) x Simple Interest (SI)

Now,

As given principle=1000

rate=12%

time=6 months=1/2 years,

Then interest in 6 months will be = 1000*12*1/2*100

=10*12/2

=10*6

=60

Hence,

           The simple interest Samuel will have to pay will be 60 Rs.

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The correct option is (a) Student's t-test. The statistical test that will be used in this week's lab is  Student's t-test.

Student's t-test is a statistical test used to compare the mean of two samples. It is used to determine whether there is a statistically difference among two populations or not. The t-test generally calculates the difference.

And if that difference is large till the limit, then it can be summarized that the means of two samples are very different. The t-test can be useful in comparison the means of two independent samples or the means of two dependent samples. And it is basically based on the Student's t-distribution.

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Full Question:

'What is the statistical test that will be used in this week's lab?

a. Student's t-test

b. No statistical test will be run on this data

c. Chi-square test

d. Kruskal-Walls test

e. Rank-sum test

Answer:

d!!

Step-by-step explanation:

Therefore, one container can hold 20/9 tons of sugar.

To simplify this expression, we can convert the mixed number 3 3/5 to an improper fraction:

3 3/5 = (5*3 + 3)/5 = 18/5

So the expression becomes:

8 tons / (18/5) containers

To divide by a fraction, we can multiply by its reciprocal:

8 tons / (18/5) containers = 8 tons * (5/18) containers

Now we can simplify the expression and solve for the amount of sugar in one container:

8 tons * (5/18) containers = 40/18 tons/container = 20/9 tons/container

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The comparision between decimal number are 1.9 = 1.90, 0.05 < 0.2, 3.88 < 6.38

Suppose that the number is abcd.efg and belongs to the decimal numerical system.

Therefore, one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.

Here we can see that

1.9 = 1.90

0.05 < 0.2

3.88 < 6.38

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The rectangle with the given properties is added as an attachment

From the question, we have the following parameters that can be used in our computation:

We start by calculating the side lengths using

Perimeter = 2 * (Length + Width)

So, we have

2 * (Length + Width) = 28

Divide by 2

Length + Width = 14

Because the y-axis is a line of symmetry, then it means that the rectangle is divided into equal segments by the y-axis

Here, we can assume that

Length = Width (this is so because a square is a type of rectangle)

So, we have

Length = Width = 7

The above computations also mean that the vertices are equidistant from the axes and the origin

So, we have

Vertices = (3.5, 3.5), (3.5, -3.5), (-3.5, 3.5) and (-3.5, -3.5)

See attachment for the rectangle

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Answer:

20 lbs = 9.07185 kg

20 x 0.45359237

Step-by-step explanation:

multiply the given lbs value by 0.45359237 kg and you’ll get your answer.

As a result, option B is the equation of the line parallel to the specified line and passing through the point (2, 2): y = 1/5x + 12/5.

An equation is a mathematical statement that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equals sign (=). The two sides represent the same value, so any operation performed on one side must also be performed on the other side to maintain equality.

Here,

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. Two lines are parallel if and only if they have the same slope.

The given line has a slope of 1/5, so any line that is parallel to it must also have a slope of 1/5.

We want to find the equation of a line that is parallel to the given line and passes through the point (-2, 2). We can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line. Substituting the values we have:

y - 2 = (1/5)(x - (-2))

y - 2 = (1/5)(x + 2)

Multiplying both sides by 5 to eliminate the fraction, we get:

5(y - 2) = x + 2

5y - 10 = x + 2

x = 5y - 12

This is the equation of the line that is parallel to the given line and passes through the point (-2, 2).

However, we can also rewrite the equation in slope-intercept form if we prefer. Solving for y in terms of x, we get:

x = 5y - 12

x + 12 = 5y

(1/5)(x + 12) = y

y = (1/5)x + 12/5

So, the equation of the line that is parallel to the given line and passes through the point (-2, 2) is:

y = (1/5)x + 12/5

Therefore, the equation of the line that is parallel to the given line and passes through the point (−2, 2) is option B: y = 1/5x + 12/5.

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Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

The cylindrical, which is frequently a lobed solid, comprises one of the most simple curvature geometric forms. In simple geometry, it is known as a prism with a circle as its basis. The term "cylinders" is also used to refer to an infinitely curved surface in a number of modern domains of topology and geometries. A "cylinder" is a two half object made up of curved surfaces with circle tops and bases. A cylinder is a two half solid figure with two bases that are both similar circles connected at its height, which is controlled by the separation of the legs from the center. Cans of iced drinks and the wicks from toilet paper are example of cylinders.

given

r = d/2 = 40/2 = 20 cm

v = pi *r*r*h

100 = 3.14 * 20*20 *h

100 = 1256*h

h = 0.08 cm

strong box = surface area of cuboid = 45 * 90

= 4050 cm2

surface area of water heater = A=2πrh+2πr2=2·π·20·0.08+2·π·202

≈2523.3

Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

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The value on converting 169 lbs to Kilograms (Kg) is  equivalent to 76.65 Kg .

The Pound (lbs) and Kilogram (Kg) are both the units of measurement used for weight or mass.

They both belong to different systems of measurement. Pound is a unit of measurement in the Imperial and US Customary systems, whereas kilogram is a unit of measurement in the International System of Units (SI).

We know that One pound is = 0.4535 kilograms,

We have to convert 169 lbs to Kg ,

We write ;

⇒ 169 lbs = 169 × 0.4535 Kg ;

⇒ 169 lbs = 76.6415 Kg ≈ 76.65 Kg .

Therefore , 169 lbs is approximately equal to 76.65 Kg .

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Answer: 49 napkins

Step-by-step explanation:

7 every 5

35/5=7

7*7

49

Answer: 25 napkin

Based on the given conditions, formulate: 35 x 5 divided by 7

35 x 5= 175/7= 25

The cost of the top of the table, to the nearest naira, is 7678.

Area of circle can be defined as the product of pi and square of radius of circle.

The area of the circular table top can be found using the formula for the area of a circle:

[tex]A = pi*r*r[/tex]

where r is the radius of the entire circle.

[tex]A = π(1m)^2 = π m^2[/tex]

The area of the inner glass section can also be found using the same formula, but with the radius of the glass section:

A_glass =[tex]π(0.75m)^2 = 0.5625π m^2[/tex]

The area of the outer wooden section can be found by subtracting the area of the inner glass section from the area of the entire circle:

A_wood = A - A_glass = [tex]π m^2 - 0.5625π m^2 = 0.4375π m^2[/tex]

The cost of the glass section is 2500 per m², so the cost of the glass section can be found by multiplying the area of the glass section by the cost per square meter:

Cost_glass = [tex]0.5625π m^2 × 2500/m² ≈ 4418.60[/tex]

Similarly, the cost of the wooden section can be found by multiplying the area of the wooden section by the cost per square meter:

Cost_wood [tex]= 0.4375π m^2 × 1500/m² ≈ 3259.68[/tex]

The total cost of the table top is the sum of the cost of the glass section and the cost of the wooden section:

Total cost = Cost_glass + Cost_wood ≈ 7678.28

Therefore, the cost of the top of the table, to the nearest naira, is 7678.

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Answer:

There are 1440 minutes in 24 hours.

Step-by-step explanation:

24 x 60 = 1440

Hope this helped. Have a good day!

Answer:

[tex]\huge\boxed{\sf x = \pm \sqrt{17} }[/tex]

Step-by-step explanation:

f(x) = x² + 7

Given that, f(x) = 24

24 = x² + 7

24 - 7 = x²

17 = x²

So,

x = √17 or x = -√17

[tex]\rule[225]{225}{2}[/tex]

The requried first term of the sequence is $6.32.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Here,
The amount of money Sally spends on breakfast each week forms an arithmetic sequence.

Let's use the formula for the sum of an arithmetic sequence to find the first term of the sequence. We know that Sally has already spent $31.64, which means that she has made 31.64/4.52 = 7 visits to the breakfast place. So the sum of the first 7 terms of the sequence is:

S₇ = 7/2 * (a₁ + a₇)

We know that a₇ = $4.52, so we can plug this into the formula and simplify

S₇ = 7/2 * (a₁ + 4.52)

a₁ = $6.32

Similarly, all the outcomes can be evaluated,
By the end of the year, Sally will have spent $891.36 on breakfast.

Therefore, the first term of the sequence is $6.32.

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The quadratic equation of x2-6x+9=0 is C) (x-2)(x+3).

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

This equation is an example of a quadratic equation, which is an equation of the form ax2+bx+c=0, where a, b, and c are real numbers, and a is not equal to 0. In this equation, a is equal to 1, b is equal to -6, and c is equal to 9. To solve this equation, we need to use the quadratic formula, which states that the solutions to the equation are x= -b ± √b2-4ac / 2a. Therefore, the solutions to this equation are x= -(-6) ± √(-6)2-4(1)(9) / 2(1), which simplifies to x=3 ± √3 /2, or x=3 ± √9 /2. This simplifies to x=3 ± √3, or x=3 ± 1. Therefore, the solutions to this equation are x=2 and x=4. The factored form of this equation is (x-2)(x+3), which is option C.

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2.16% probability that the man would have done at least this well if he had no ESP.

As we know that for each coin toss, there are only two possible outcomes. Either he predicts the correct outcome, or he does not. Therefore, the tosses are independent. So, we can use the binomial probability distribution:

Binomial probability distribution says that, the binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X=x) = Cₙ, ₓ.pˣ.(1-p) ⁿ⁻ˣ

here, Cₙ, ₓ is the number of different combinations of the x objects from a set of n elements, which is given by the following formula:

Cₙ, ₓ = n/x(n-x)

here, p is the probability of X happening, therefore,

fair coin: Equally as likely to be heads or tails, so p = 0.5

number of times coin is flipped = 22

n = 22

now for the probability that he would have done at least this well if he had no ESP:

P(X>16) = P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20) + P(X=21) + P(X=22)

In which;

P(X = 16) = 0.0143; P(X = 17) = 0.0053; P(X = 18) = 0.0016; P(X = 19) = 0.0004; P(X = 20) = 0.0001

for the other values we know that they are close to 0, hence,

P(X>16) = P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20) + P(X=21) + P(X=22) = 0.0216

So we know that 2.16% probability that he would have done at least this well if he had no ESP

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A rational number is one that has a non-zero denominator and can be written as a fraction of two integers.

A rational number is one that has a non-zero denominator and can be written as the ratio of two integers. This indicates that a rational number must have an integer denominator and numerator, and that the denominator cannot be 0.

Rational numbers can be positive or negative, and they include all integers, fractions, and terminating or repeating decimals. A and b can be stated as a/b when both of them are integers and b is not equal to 0. It is essential to understand rational numbers in mathematics, and fields like computer science, physics, and engineering frequently use it in their daily work. as well as computer science.

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The probability of the sum of the faces that the 2 dice are thrown simultaneously can be found by using the formula for the probability of independent events, which is P(A) * P(B).

The probability of the sum of the faces when 2 dice are thrown simultaneously depends on the specific sum you are looking for. You can use the formula P(A) * P(B) and the number of possible outcomes for each sum to find the probability.

First, let's determine the probability of each event. The probability of rolling a specific number on a single die is 1/6, since there are 6 possible outcomes. Therefore, the probability of rolling a specific number on both dice is (1/6) * (1/6) = 1/36.

Next, we need to determine the number of possible outcomes for the sum of the faces. There are 11 possible sums (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12), each with a different number of possible outcomes. For example, there is only one way to roll a 2 (1 + 1), but there are six ways to roll a 7 (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, 6 + 1).

Finally, we can use the formula to find the probability of each sum. For example, the probability of rolling a 7 is (6/36) = 1/6. The probability of rolling a 2 is (1/36).

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The Roman numeral number I means the number "1".

In roman numerals, the counting is represented by using the basic English alphabets in the Upper Case.

The roman numeral I means the number "1". For representing 10 we use "X".

When we have to write 1, 2, 3 we use I, II, III respectively and when we use want to show 5 we use "V" in roman numerals. More English letters like L, C etc. are also used to depicts certain other big numbers in the roman numbers. It is to be noted that one alphabet cannot be used more than three times in an number.

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To find out how much flour Ricky needs, we first need to find 1 1/2 times the amount of flour in the original recipe.

2 3/3 cups of flour is the same as 8/3 cups of flour.

To find 1 1/2 times the amount of flour in the original recipe, we can multiply 8/3 by 1 1/2:

8/3 x 3/2 = 24/6 + 4/6 = 28/6

So 1 1/2 times the amount of flour in the original recipe is 28/6 cups of flour.

To find out how much flour Ricky needs, we can multiply this amount by 1 1/2:

28/6 x 3/2 = 84/12 + 18/12 = 102/12

So Ricky needs 102/12 cups of flour, which simplifies to 8 1/2 cups of flour.