Please try to do #5.

Answer:

125.25

Step-by-step explanation:

5 cube =125

1/2=0.5

0.5 squared =0.25

125+0.25=125.25

Answer:

jjjjjjj

Step-by-step explanation:

nnnnnnn

Answer:

He attempted 225 free throws.

Step-by-step explanation:

9/0.04= 225

Answer:

The original cost of the digital camera is Rs. 18,500.

Step-by-step explanation:

Let c be the original cost of the digital camera

Since VAT of 13% was added then we can say that the amount that was paid was 13% more than the original price. So the payment made was 113% of the original amount or 1.13 in decimal

Payment = original cost + 13% VAT

20, 905 = c + 0.13c

20, 905 = 1.13c

Divide both sides of the equation by 1.13

20905/1.13 = 1.13c/1.13

18,500 = c

c = Rs. 18,500

The area of rectangle of the given the vertices is 35\(unit^2\).

What is area of rectangle?

 The sum of a rectangle's length (a) and breadth (b) equals the area of the rectangle (A). Therefore, the area of a rectangle is equal to (a b) square units. The region completely encircled by the rectangle's perimeter is known as its area, which is equal to the product of its length and width. The territory a rectangle occupies inside its four sides or limits is known as the area of a rectangle. Depending on its sides, a rectangle's territory

Let us name the given points as

A(2,3), B(7,3), C(7,10) and D(2,10).

Using the distance formula, we have,

\(AB^2\)= \((7-2)^2+(3-3)^2\)

=> \(AB^2\)= 25

=> AB =5

\(BC^2\) = \((7-7)^2+(10-3)^2\)

=>  \(BC^2\) = 49

=> BC = 7

\(CD^2=(7-2)^2+(10-10)^2\)

=> \(CD^2\) = 25

=> CD =5

\(DA^2=(2-2)^2+(10-3)^2\)

=> \(DA^2\)=49

=> DA = 7

Here length l =7 and width w = 5 .

Area of rectangle A = lw square unit

=> A = 7*5 = 35\(unit^2\)

Therefore area of rectangle using given vertices D)35\(unit^2\)

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Answer:

25

%

Step-by-step explanation:

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The probability that the two cards dealt to Patricia will both be yellow

is 1/4.

In mathematics, probability refers to the likelihood of an occurrence occurring. Simply put, how frequently the incidence occurs over a certain period of time.

Given, there are 12 cards left in the deck, and three are yellow.

To find the probability:

The probability= number of yellow cards in the deck / total number of cards in the deck.

= 3/12

= 1/4

Therefore, the probability is 1/4.

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Answer: graph 'y=16-8x'

Step-by-step explanation:

First, alter the equation by making it a 'y=...' statement (y=-8x+16).

Secondly, plot your first point at positive 16.

Third, make sure that your slope is going down 8 from positive 16, so you plot your second point at positive 8, and move that second point to the right by 1.

Let me know if this helps!

Answer:

$182.5

Step-by-step explanation:

365/2= 182.5

Answer:

$182.50

Step-by-step explanation:

365/2 = 182.5

Answer: 1/3 or 1 divided by 3 is equivalent to 0.333333

Answer:

0,33

Step-by-step explanation:

this for sure.......

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

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Answer:

A B C  E F G H I J K L M N O P Q R S T U V W  Y & Z so I guess the value of A is 1

Step-by-step explanation:

Steps to solve:

x^2 + 2x + 3 when x = 4

~Substitute

4^2 + 2(4) + 3

~Simplify

16 + 8 + 3

~Add

24 + 3

~Add

27

Best of Luck!

Answer:

Hey there!

In this expression, 5k and -6 are terms, not factors.

In this expression, 5 and k are factors, so the last option is correct.

Let me know if this helps :)

Answer:

5 and k are factors.

Step-by-step explanation:

A factor would be a value or variable which is multiplied by something else. It is 'a part' of the product.

In \(5k-6\), 5 and k are being multiplied by each other. This would mean that 5 and k are factors.

Option E should be the correct answer.

Answer:

The 7th term is 729

Step-by-step explanation:

Given

\(Sequence: 1, 3, 9...\)

Required: Determine the 7th term

The given sequence is a geometric function. So, we calculate the common ratio (r) first.

\(r = \frac{T_2}{T_1}\)

\(r = \frac{3}{1}\)

\(r = 3\)

The nth term of gp is:

\(T_n = ar^{n-1\)

Where

\(a = T_1\)

The 7th term is:

\(T_7 = ar^{7-1\)

\(T_7 = ar^6\)

\(T_7 = 1 * 3^6\)

\(T_7 = 729\)

Answer:

2012.032

Step-by-step explanation:

2012.032

Answer:

Y=1

Step-by-step explanation:

Answer:

The D cells are worth $2.20, and the C cells are worth $1.90.

Step-by-step explanation:

This can be written as:

4x + 2y = 12.60

6x + 4y =20.80

Our goal is to find one variable, then use that information to find the other.

If we multiply the top function by -1.5, we get:

-6x - 3y = -18.90

We can add this to the previous equation.

  -6x - 3y = -18.90

+ 6x + 4y = 20.80

--------------------------

             y = 1.90

The C cells are worth $1.90.

Plug this value into one of the other equations and solve for x.

4x + 2y = 12.60  

4x + 2(1.90) = 12.60

4x + 3.80 = 12.60  

4x = 8.80

x = 2.20

The D cells are worth $2.20.

Check these values in the other equation.

6x + 4y = 20.80

6(2.20) + 4(1.90) = 20.80

13.20 + 7.60 = 20.80

20.80 = 20.80

Answer:

  C = $1.90 each

  D = $2.20 each

Step-by-step explanation:

Given:

  Power pack A:   4D + 2C = 12.60

  Power pack B:   6D + 4C = 20.80

Isolate any one variable:

  4D + 2C = 12.60

  4D = 12.60 - 2C

  D = 3.15 - 0.5C

Substitution to find cost of C cell battery:

  6D + 4C = 20.80

  6(3.15 - 0.5C) + 4C = 20.80

  18.9 - 3C + 4C = 20.80

  18.9 + C = 20.80

  C = 1.90

Substitution to find cost of D cell battery:

  4D + 2C = 12.60

  4D + 2(1.90) = 12.60

  4D + 3.8 = 12.60

  4D = 8.8

  D = 2.20

The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

Answer:

25

Step-by-step explanation:

5(x1)

5(5x1)

25x1

25

Answer:

25

Step-by-step explanation:

5(x1)

So, you basically plug 5 wherever x is in your equation.

5(5(1))

Now, we do what is in the parenthesis. 5 x 1 is 5.

So, now we have 5(5). 5 x 5 is equal to 25.

The value of the expression when x=5 is 25.

We cannot conclude that there are more than 70,000 defined words in the dictionary.

To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.

Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.

So, sample mean

= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10

= 510 / 10

= 51.0

and, the sample standard deviation (s)

= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]

≈ 16.23

Next, we calculate the test statistic using the formula:

test statistic = (x - μ) / (s / √n)

In this case, μ = 48.0, s ≈ 16.23, and n = 10.

test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34

With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.

Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.

Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.

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The rate of the first athlete is greater than the rate of the second athlete.

To determine if the rate of the first athlete is greater than, less than, or equal to the rate of the second athlete, we need to compare their average speeds.

The average speed of an athlete is calculated by dividing the distance traveled by the time taken.

For the first athlete who runs 3 miles in 24 minutes, the average speed can be calculated as:

Speed1 = Distance1 / Time1 = 3 miles / 24 minutes = 1/8 miles per minute.

For the second athlete who runs 4 miles in 33 minutes, the average speed can be calculated as:

Speed2 = Distance2 / Time2 = 4 miles / 33 minutes.

To make a comparison, we need to convert both rates to a common unit. Let's convert both rates to miles per minute:

Speed2 =\((4 miles / 33 minutes) * (24 minutes / 24 minutes)\) = (96 miles / 792 minutes) ≈ 0.1212 miles per minute.

Comparing the two rates, we see that Speed1 (1/8 miles per minute) is greater than Speed2 (0.1212 miles per minute). The rate of the first athlete is greater than the rate of the second athlete.

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Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

Tayor has wrapped 12 gifts and did a gift bag of 8 gifts in total 48 minutes.

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Let wrapping be denoted by 'x' and gift bag be denoted by 'y'.

Taylor prepared a total of 20 gifts which is,

x + y = 20...(i).

Taylor can wrap a gift in 3 minutes and ad can do a gift bag in 1.5 minutes which is,

3x + 1.5y = 48...(iii).

Now the solution of this system is the intersection point of these two equations (i) and (ii).

The ordered pair (12, 8) is the solution (x, y) for the given situation.

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Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

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SOLUTION

Step 1 :

In this question, we were told that the measurement of the angle is

of its supplement.

Step 2 :

In equation form, we have that :

cross-multiply, we have that :

Step 3 :

The other supplementary angle =

CONCLUSION:

The measurement of the two supplementary angles are 30 degrees

and 150 degrees.

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

Answer:

178

Step-by-step explanation:

area of big rectangle : 143

area of small rectangle:20

area of triangle : 15

143+20+15= 178