Give one solution for in each of the following statements.

25≡ 5


36≡ 8


50≡ 9

Answer:

I first time see sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry

Answer:

Umm which one

Step-by-step explanation:

Answer:

no, it is not. 8 < 12.68

Step-by-step explanation:

To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.

We have,

To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.

This will result in the y-terms canceling out, and we will be left with only x-terms on one side of the equation, which we can then solve for x.

So, multiplying the second equation by 2, we get:

2(3x + 4y) = 2(5)

6x + 8y = 10

Now, adding this to the first equation, we get:

4x - 8y + 6x + 8y = 20 + 10

10x = 30

Dividing both sides by 10, we get:

x = 3

Now, we can substitute this value of x back into either of the original equations to solve for y.

4x - 8y = 2

So,

4(3) - 8y = 20

12 - 8y = 20

-8y = 8

y = -1

Therefore,

The solution to the system of equations is (x, y) = (3, -1).

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The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

w = 3/4 or w = -1/4

Step-by-step explanation:

3l4w - 1l - 5 = 1

Add 5 to both sides.

3|4w - 1| = 6

Divide both sides by 3.

|4w - 1| = 2

Set the inside of the absolute value equal to 2 and -2.

4w - 1 = 2 or 4w - 1 = -2

Add 1 to both sides.

4w = 3 or 4w = -1

Divide both sides by 4.

w = 3/4 or w = -1/4

Check w = 3/4:

3l4w - 1l - 5 = 1

3|4(3/4) - 1| - 5 = 1

3|3 - 1| - 5 = 1

3|2| - 5 = 1

6 - 5 = 1

1 = 1

w = 3/4 works.

Check w = -1/4:

3l4w - 1l - 5 = 1

3|4(-1/4) - 1| - 5 = 1

3|-1 - 1| - 5 = 1

3|-2| - 5 = 1

3(2) - 5 = 1

6 - 5 = 1

1 = 1

w = -1/4 works.

There are no extraneous solutions.

Answer: w = 3/4 or w = -1/4

Answer:

0.75 laps per minute

Step-by-step explanation:

9/12 = 0.75

Answer:

1.3 min per lap

Step-by-step explanation:

The initial point is (0,0) and the terminal point (-5,-2).

First, graph the points:

Lets say that A= (0,0) and B = (-5,-2)

So my vector w= line(AB)

Use the component form

Replace the values <-5-0, -2-0>

Then <-5,-2>

In the form w=ai+bj

w = -5i -2j

Looking at the graph we have -2 on the y-axis and -5 on the x-axis.

Answer:

6

Step-by-step explanation:

Answer:

the other number is 105..............

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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Answer:

Answer: 18 will be the answer.

Answer:

16

Step-by-step explanation:

Every upcoming term is 2/3 of the previous one.

=> 24 x 2/3

=> 8 x 2

=> 16

We can approach this problem by breaking down the two displacements of the ship into their respective x- and y-components and then adding them together to find the net displacement.

For the first displacement, the ship traveled 25° South of West for 250 miles. This can be broken down into an x-component and a y-component as follows:

x = 250 cos(25°) (to the west) y = -250 sin(25°) (to the south)

For the second displacement, the ship changed direction to 70° East of South and traveled 45 miles further. This can also be broken down into an x-component and a y-component:

x = 45 cos(70°) (to the east) y = -45 sin(70°) (to the south)

To find the net displacement, we can add the x-components and y-components separately:

total x = 250 cos(25°) + 45 cos(70°) total y = -250 sin(25°) - 45 sin(70°)

We can use these values to find the distance of the ship from its starting point by using the Pythagorean theorem:

distance = sqrt((total x)^2 + (total y)^2)

Substituting the values from above and evaluating:

distance = sqrt((250 cos(25°) + 45 cos(70°))^2 + (-250 sin(25°) - 45 sin(70°))^2)

distance ≈ 272.8 miles

To find the direction of the ship from its starting point, we can use the inverse tangent function to find the angle:

angle = atan(total y / total x)

Substituting the values from above and evaluating:

angle ≈ -65.1°

Since the angle is negative, we know that the direction is to the west of south. Therefore, the ship is approximately 272.8 miles away from its starting point in a direction that is 65.1° west of south.

The solution for the given system of equations is

x = 3

y = -12

What are linear equations in two variables?

Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero.

Given two linear equations of two variables.

y = -4x .....eq 1

6x - y = 30 .....eq 2

We have to solve them using substitution.

Now,

by substituting eq 1 in eq 2,

6x -(-4x) = 30

6x + 4x = 30

10x = 30

x = 3

from eq 1,

y = -4x = -4*3 = -12

Therefore, x = 3 and y = -12

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Answer: The answer is 96 square units.

Step-by-step explanation:

(Because it's 8 square units long and 12 square units wide. L x W = Area)

So you have to do 12 x 8 and you should get the answer 96 square units.

Step-by-step explanation:

12800000

or 567777000

$27500000

a. The number of red roses left t hours after the store opens \(R(t) = 400/2^{t/2}\)    

b. The number of boxes of chocolate left t hours C(t) = 200 - 0.15t

c. One possible solution is t ≈ 7.546 hours after the store opens.

d. there are 194 boxes of chocolates left.

e. you need to arrive at the store no later than 7.504 hours after it opens.

a. The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.:

\(R(t) = 400/2^{t/2}\)

b. Let C(t) be the quantity of boxes of chocolate left t hours after the store opens. At first, there are 200 boxes, of which 15% are purchased every hour. We can therefore write:

C(t) = 200 - 0.15t

c. We must solve the equation R(t) = C(t) in order to determine the time at which the number of boxes of chocolates and the number of roses are equal. We obtain: by substituting the formulas we discovered in parts a and b:

\(400/2^{t/2} = 200 - 0.15t\)

Simplifying this equation, we get:

\(2^{t/2 + 1} + 0.15t - 400 = 0\)

We can solve this equation numerically, using a calculator or a computer program. One possible solution is t ≈ 7.546 hours after the store opens.

d. At 12:30 in the early evening, which is 3.5 hours after the store opens, we can utilize the recipe we tracked down to some extent b to work out the quantity of boxes of chocolates left:

C(3.5) = 200 - 0.15(3.5) = 194.25

We ought to adjust this solution to appear to be legit with regards to the issue. Since we cannot have a fraction of a box, we can round to the nearest integer and state that there are 194 chocolate boxes remaining.

e. To buy 36 red roses, we need to solve the equation R(t) = 36. Substituting the formula we found in part a, we get:

\(400/2^{t/2}= 36\)

Simplifying this equation, we get:

2^(t/2) ≈ 11.111

Taking the logarithm of both sides, we get:

t/2 ≈ log2(11.111)

t ≈ 2 log2(11.111)

Using a calculator, we get:

t ≈ 7.504 hours after the store opens.

Therefore, you must arrive at the store no later than 7.504 hours after it opens in order to purchase 36 red roses.

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Step-by-step explanation:

1/3 × x = 150,000

x/3 = 150,000

x = 150,000 × 3 = $450,000

So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of the line passing through points A and B can be calculated as follows:

slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1

The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To find the y-intercept, we can use point A (0,0) and substitute the slope value.

y = mx + b

0 = 1(0) + b

b = 0

Therefore, the equation of the line passing through points A and B is:

y = 1x + 0

Simplifying, we get:

y = x

So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:

y - 0 = 1(x - 0)

y = x

This confirms our earlier answer.

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The revenue of the the agency is given by the function

R(x) = 5000 - 50 x - 3x² .

A function is a relationship between an independent variable and a dependent variable which defines all points on a cartesian plane which satisfies the given condition.

Now in the given Agency it is given that the charge of each tourist is $100 . Now for every tourist above 50 the charge is reduced by 3 dollars.

So for x people above 50 charge will be ( 100-3 x ) for all members.

The total revenue can be measured by the function

R(x) = ( 50 + x ) ( 100 - 3x )

or , R(x) = 5000 - 150 x + 100 x - 3x²

or, R(x) = 5000 - 50 x - 3x²

Hence the revenue function is given as : R(x) = 5000 - 50 x - 3x²

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Answer:

Step-by-step explanation:

Question 18:

arc SRQ = 360° - 98° - 115° = 147°

y = 147°/2 = 73.5°

arc SPQ = 98° + 115° = 213°

x = 213°/2 = 106.5°

Sorry, I don't know how to answer 19.

Step-by-step explanation:

an open (empty) point means the point itself is not included.

a closed (filled) point means the point itself is included.

the x values going from -3 (not included) to -1 (included) means

-3 < x <= -1

so, the second answer is correct.

Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

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

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

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

true

Step-by-step explanation:

Let's say you have -7 dollars in your bank account, and then you go and spend 5 more, which is -5, now you have -12 bucks in your account

Answer:

true!

Step-by-step explanation:

if you add negative numbers together, it will have to be negative because you are not adding positive numbers. same thing with positive numbers, if you add two positive numbers together, the sum will be a bigger positive number!

Answer:

approx 26%

Step-by-step explanation:

you try find the multiplier

200000 * 1. ???? ^3= 400000

rearrange equation

\(\sqrt[3]{\frac{400000}{200000} }\)       =   multiplier

1.25992105

subract one

0.25992105

multiply by 100 to get percentage

25.9%

rounded to whole number = 26%

Answer:

x = 8

y = 8

Step-by-step explanation:

The two equations are:

x + y = 16    (1)

x = y           (2)

Since x = y substitute for y in terms of x in (1):
x + x = 16

2x = 16

2x/2 = 16/2

x = 8

y = 8

Answer:

In addition to providing an explanation of consumer disposition of income, utility theory is useful in establishing individual consumer demand curves for goods and services. A consumer's demand curve for a good or service shows the different quantities that consumers purchase at various alternative prices.

Step-by-step explanation: