Musoni packed books in boxes that carry 15 books each. Mary repacked the books in boxes carrying 9 books each. How many books were there if she did not leave any books out? How many boxes will be necessary for musoni and Mary to carry those books?

Answer:

a =5

Step-by-step explanation:

4a -3 = 2a +7

Subtract 2a from each side

4a-2a -3 = 2a-2a +7

2a-3 =7

Add 3 to each side

2a-3+3 = 7+3

2a=10

Divide each side by 2

2a/2 = 10/2

a =5

Answer:

a=5

Step-by-step explanation:

4a-3+3=2a+7+3

4a=2a+10

4a-2a=2a+10-2a

2a=10

a=5

Answer:

it's answer is 10/-15.........

The needed coordinate of Y when the sequence of transformations, R90° ° Tx-axis, is used on  ΔXYZ to make ΔX''Y''Z' is (0, 3)

The process of transformation involves the implementation of a fresh range of mathematical coordinates which are expressed as alternative functions of the initial coordinates.

A rotation 90 can be represented by the formula (x, y) —>  (-y, x)

Note that the there in the question, the coordinate Y is (3, 0)  Of the coordinate is transformed by 90degrees, the given new coordinate will be (0, 3) to (3,0)

So:

3 is the x point.

0 is the y point.

When you replace these two points (switch places) Hence, the x coordinate is 0 and the y coordinate is 3 giving us  (3,0)

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If the coordinates of Y'' are (3, 0), then the coordinates of Y is (0, 3)

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

The sequence of transformations:

This means that we rotate by 90 degrees and we reflect the triangle across the x-axis

The rule of 90° clockwise rotation is (x,y) = (y,-x)

The rule fo rx-axis is (x, -y)

When combined, we have

(x,y) = (y,-x) = (y, x)

using the above as a guide, we have the following:

If the coordinates of Y'' are (3, 0), then the coordinates of Y is (0, 3)

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In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata. The type of sampling used in this scenario is stratified sampling.

Stratified sampling is a sampling method where the population is divided into homogeneous subgroups or strata, and individuals are randomly selected from each stratum in proportion to their representation in the population. In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata.

By randomly selecting a proportionate number of individuals from each group, Christopher ensures that both varsity and junior varsity athletes are represented in the sample, maintaining the proportional representation of each group in the population. This method allows for more accurate and representative results by capturing the characteristics of both groups separately.


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Answer:

x= -11

Step-by-step explanation:

2x-5+5=x-11

2x=x-11

x=-11

Answer:

its B

Step-by-step explanation:

Answer:

y= x+75

Step-by-step explanation:

We already have 75 and add x money

The wheel having 3feet diameter and travelling a distance of 45 feet is rotated about 30.00 radians.

A circle's circumference is equivalent to π times its diameter.

We can use the circumference formula to determine the circumference of the wheel

C = πd= π(3) = 9.42 feet where d is the diameter.

The wheel has traveled a distance of 45 feet.

We can determine the number of full rotations made by dividing the distance traveled by the circumference of the wheel.

Number of full rotations = distance traveled / circumference of the wheel= 45 / 9.42 = 4.77 full rotations

It is said that the wheel rolled without slipping, therefore the wheel must have turned 4.77 full rotations. The angle in radians through which it rotated is therefore

Angle in radians = number of full rotations x 2π= 4.77 x 2π= 30.00 radians

Therefore, the wheel rotated through a radian angle of 30.00.

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when your friend was born, your friend's parents deposited $2000 in an account paying 4.5% interest compounded yearly. Then the account balance be after 18 years is 4416.96

Initial amount deposited into the account is $2000 This means that the principal,

P = 2000

It was compounded yearly. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 4.5%. So

r = 4.5/100 = 0.045

It was compounded for 18 years. So

t = 18

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 2000(1 + 0.045/1)^ 1× 18

A = 2000(1 + 0.045)^18

A= 4416.96

Hence , the amount becomes after 8 years is 4416.96

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Answer:  542+(87+41) = 670

Step-by-step explanation:

Answer: y=-(1/4)x+5

Step-by-step explanation:

(-4,6)   (4,4)

                    \(\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }\)

x₁=-4    x₂=4    y₁=6    y₂=4

Hence,

\(\displaystyle\\\frac{x-(-4)}{4-(-4)}=\frac{y-6}{4-6} \\\\\frac{x+4}{4+4}=\frac{y-6}{-2} \\\\\frac{x+4}{8} =\frac{y-6}{-2} \\\)

Multiply both parts of the equation by -2:

\(\displaystyle\\-\frac{x+4}{4} =y-6\\\\-\frac{1}{4}x -1=y-6\\\\-\frac{1}{4} x-1+6=y-6+6\\\\-\frac{1}{4} x+5=y\\\\Thus,\ y=-\frac{1}{4} x+5\)

Given:

The expression is:

\(789\times 175-75\times 789\)

To find:

The value of the given expression by using the suitable properties of whole numbers.

Solution:

We have,

\(789\times 175-75\times 789\)

Using the commutative property of multiplication, we get

\(789\times 175-75\times 789=789\times 175-789\times 75\)

Using the distributive property of addition over multiplication, we get

\(789\times 175-75\times 789=789\times (175-75)\)

\(789\times 175-75\times 789=789\times 100\)

\(789\times 175-75\times 789=78900\)

Therefore, the value of the given expression is 78900.

Answer:

y=1/3x+2

Step-by-step explanation:

Answer:

Y=1/3x+2

Step-by-step explanation:

I got this answer write on my assignment.

Answer:

x = 4

Step-by-step explanation:

WX = WY

9x - 11 = 7x - 3..........Then subtract 7x to the other side such that  

2x - 11 = -3..........Then add 11 to both sides such that  

2x = 8...........Then divide 2 such that  

x = 4

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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a) the mean of this distribution is 20

b) the mean of the distribution is 20 and the standard deviation of the distribution is 4.58.

a. Calculation of mean of the given distribution:

Mean = ∑(x * P(x))

where x = value of the outcome

P(x) = Probability of the outcome

∑ denotes the summation over all the possible outcomes

Mean = (10 * 0.10) + (15 * 0.30) + (20 * 0.20) + (25 * 0.30) + (30 * 0.10)= 1 + 4.5 + 4 + 7.5 + 3= 20

b. Calculation of standard deviation of the given distribution:

σ = √[∑(x - μ)² P(x)]

where x = value of the outcome

μ = mean of the distribution

P(x) = Probability of the outcome

∑ denotes the summation over all the possible outcomes

σ = √[((10 - 20)² * 0.10) + ((15 - 20)² * 0.30) + ((20 - 20)² * 0.20) + ((25 - 20)² * 0.30) + ((30 - 20)² * 0.10)]= √[100 * 0.10 + 25 * 0.30 + 0 + 25 * 0.30 + 100 * 0.10]= √[10 + 7.5 + 3.5]= √21= 4.58

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Answer:

B.

Step-by-step explanation:

No number repeats itself in the x value.

Step-by-step explanation:

try adding . all the x vlues and the y values

Answer:

C) (0,2)

Step-by-step explanation:

just took the test on edg2021

Since the denominator of the function f(x) = −2x^4 − 6 is never zero, it has no vertical asymptotes.

The equation of the asymptotes for the function f(x) given by f(x) = −2x^4 − 6 are:

x = 0 and y = -6

The horizontal asymptote of a function is the horizontal line it approaches as x tends to infinity or negative infinity. This occurs if either the degree of the denominator is greater than the degree of the numerator by exactly one, or the numerator and denominator have the same degree, and the leading coefficient of the denominator is greater than the leading coefficient of the numerator by exactly one. In this case, the leading term in the numerator is -2x^4, and the leading term in the denominator is 1, which means that the degree of the denominator is 0.

As a result, the horizontal asymptote of the given function is y = -6.

The vertical asymptote of a function is a vertical line that occurs when the denominator is zero but the numerator is not zero.

Since the denominator of the function f(x) = −2x^4 − 6 is never zero, it has no vertical asymptotes.

The following are the equations of the asymptotes for the given function f(x):

Horizontal asymptote: y = -6

Vertical asymptote: None

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A) To fence the squere, we have to calculate the perimeter of the figure so first we have to calculate the side of the square, so we can use the trigonometric identity of sin so:

and we solve for x so:

Now the perimeter will be:

Now the cost will be the perimeter times the cost per foot so:

B) The are of the pasture will be the addition of the area of the squate plus the area of the triangle so:

Answer:

x = -2, y = 3

Step-by-step explanation:

Given equations are,

4x + 5y = 7 ---------(1)

3x - 2y = -12 ----------(2)

Multiply equation (1) by 3

12x + 15y = 21 ------(3)

Multiply equation (2) by (-4)

-12x + 8y = 48 --------(4)

Now add equations (3) and (4),

(12x + 15y) + (-12x + 8y) = 21 + 48

(12x - 12x) + (15y + 8y) = 69

23y = 69

y = 3

From equation (2),

3x - 2(3) = -12

3x - 6 = -12

3x = 6 - 12

x = -2

Therefore, x = -2 and y = 3 will be the answer.

Answer:

What is the solution to this system of equations?

\(4x +5y = 7\)

\(3x-2y=-12\)

The solution is ✔ \((-2,3)\) .

Answer:

Step-by-step explanation:

Draw a horizontal line from the top corner of the left wall to the right wall. Now you have a rectangle on the bottom 8’x10’ (80 square feet) and a triangle on the top with a height of 5’ and a base of 8’. 1/2 base times height =20. You need to paint 100 sq feet so you need 2 gallons.

Answer:

4 pounds of bannanas and 2 pounds of guava

Step-by-step explanation:

2 pounds of bananas equals 1 guava

Answer:

Step-by-step explanation:

horizontal line, because its y is always equal to 6

Answer:

n=4096+(n-1)*-2048

Step-by-step explanation:

Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

Answer:

r=-2

Step-by-step explanation:

your welcome :D also if there's another answer could you give me brainliest pls

Yes, the method of undetermined coefficients can be applied to find a particular solution of the given equation.

To determine whether the method of undetermined coefficients can be applied to find a particular solution of the given equation, we need to consider the form of the complementary solution.

The method of undetermined coefficients is applicable when the complementary solution to the homogeneous equation does not contain any terms that are similar to the particular solution we are seeking. In other words, the particular solution should be a linearly independent solution.

The homogeneous equation associated with the given differential equation is 60''(x) - 70(x) = 0.

To determine if the method of undetermined coefficients can be applied, we need to analyze the terms on the right-hand side of the equation: 4x sin(2x) and 4x cos(2x).

Since the complementary solution to the homogeneous equation does not contain terms of the form x sin(2x) or x cos(2x), the method of undetermined coefficients can be applied to find a particular solution.

Therefore, the correct answer is "Yes."

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Answer:

x = 47

Step-by-step explanation:

3x - 2 + 41 = 180 {Supplementary}

3x   + 39 =  180

        3x   = 180 - 39

       3x  = 141

          x = 141/3

x = 47