Is y= 2/3 (x) a linear equation

An inequality which is true when the value of m is 19 is: C. m + 5 ≥ 10.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

For this exercise, you should evaluate each of the given expressions to determine which inequalities is true when the value of m is 19. This ultimately implies that, you would have to substitute 19 into each of the given expressions for m and then evaluate.

As an example, see this:

m + 6 ≤ 22

19 + 6 ≤ 22

25 ≤ 22 (False).

m + 1 < 5

19 + 1 < 5

20 < 10 (False).

m + 5 ≥ 10

19 + 5 ≥ 10

24 ≥ 10 (True).

m - 4 ≤ 8

19 - 4 ≤ 8

15 ≤ 8 (False).

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Complete Question:

Which inequality is true when the value of m is 19?

A. m + 3 ≤ 22

B. m + 1 < 5

C. m + 5 ≥ 10

D. m - 4 ≤ 8

Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer: 6 and -1/6

Step-by-step explanation:

solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

Answer:

1) 2

2) -1/2

Step-by-step explanation:

1) 3y= 6x+9

y= 2x+3

Slope is 2

Parallel line "t" has the same slope, it will have equation:

y= 2x+b

2) y =2x+3

Perpendicular line"r" has a slope opposite-reciprocal to this, so the slope will be -1/2, the equation for line"r" is:

y= -1/2x +b

The gradient of the line is same as slope and it is -1/2 for line"r"

Hi Student!

Looking at the question provided we are asked to find two integers.  It further specifies that those two integers should be the boundaries around the number that is produced from the square root of 11.  

Now that we know what the question is asking for, we can move onto answering the question.  We know that \(1^2\) is equal to \(1\), \(2^2\) is equal to \(4\), \(3^2\) is equal to \(9\), and \(4^2\) is equal to \(16\).  The number that was provided to us inside of the square root was 11.  That means that it would be between the number 9 and 16 which is given using \(3^2\) and \(4^2\).  

Therefore, the square root of 11 would be between the numbers 3 and 4.  The final answer is option E, 3 and 4

Answer:

12

Step-by-step explanation:

24/2=12

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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There were 40 students surveyed.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let us assume total number of students were surveyed be x.

1/4 of x students preferred red = 1/4 x.

1/8 of of x students preferred blue = 1/8 x

Remaining students = (x - 1/4 x -  1/8 x)

So, 3/5 of the remaining students chose green that is 3/5 of (x - 1/4 x -  1/8 x).

15 students preferred green.

So, we can setup an equation:

We also know that 3/5(x - x/4 -x/8) = 15

3x - 3x/4 - 3x/8 = 75

5x = 200.

Dividing both sides by 5, we get

x= 40.

Therefore, 40 students were surveyed.

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Answer:

Mov

Step-by-step explanation:

move point b one and one half units to the left

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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The expression that can be used to completely rationalize the rational fraction is 20/√5 is 20/√5 * √5/√5 based on the given expression

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals. This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The irrational expression is given as:

20/√5

To rationalize the irrational expression, we multiply the numerator and the denominator by √5

So, we have:

20/√5 * √5/√5

Evaluate the product in the above expression

20√5/(√5 * √5)

This gives

20√5/(5)

Divide 20 and 5 by 5

4√5

The above expression shows that the expression has been completely rationalized

Based on the given expression, the expression that can be used to completely rationalize the rational fraction is 20/√5 is 20/√5 * √5/√5

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Answer:

4

Step-by-step explanation:

complex roots always occur in pairs.

so roots are -3+2i,-3-2i ,-2,-2

number of roots=4

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

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Answer:

1. 80 miles

2. $22

Step-by-step explanation:

1. i did 48 divided by 60 and got .8

then i multiplied .8 by 100 and got 80

2. i did 88 multiplied by .25

Answer:

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Step-by-step explanation:

To find the percent increase in the average cost of a dozen oranges from October 2020 to 2021, we need to first calculate the difference in the average cost and then divide it by the original average cost, and finally multiply by 100 to get the percentage increase.

The difference in the average cost of a dozen oranges between October 2020 and October 2021 is:

$5.59 - $1.72 = $3.87

To calculate the percent increase, we need to divide the difference by the original average cost and multiply by 100:

Percent increase = (difference/original average cost) x 100

Percent increase = ($3.87/$1.72) x 100

Percent increase = 224.41%

Therefore, the percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 224.41%.

Step by step (for more help understanding):

The problem states that the average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. We need to find the percent increase in the average cost from October 2020 to October 2021.

Step 1: Find the difference in the average cost

To find the difference in the average cost, we subtract the original average cost from the new average cost.

$5.59 - $1.72 = $3.87

This means that the average cost of a dozen oranges increased by $3.87 from October 2020 to October 2021.

Step 2: Find the ratio of the difference to the original cost

To find the percentage increase, we need to express the difference as a percentage of the original cost. We do this by dividing the difference by the original cost.

$3.87 / $1.72 = 2.25

This means that the new average cost is 2.25 times the original average cost.

Step 3: Convert the ratio to a percentage

To convert the ratio to a percentage, we multiply it by 100.

2.25 x 100 = 225%

Step 4: Round the percentage to one or two decimal places

Finally, we round the percentage to one or two decimal places, depending on the level of accuracy required.

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Hope this helps, If not I'm sorry. If you need more help, ask me! :]

Answer:

No, it is not

Step-by-step explanation:

5 cant be simplified even down further unless it is a decimal or a fraction

9514 1404 393

Answer:

  a. $488

  b. 12 hours at $18.30 = $219.60

  c. $707.60

Step-by-step explanation:

a) You correctly computed Brown's straight-time pay. His pay is ...

  40 hours at $12.20 per hour = $488

__

b) Brown's overtime pay is 1.5 times his straight-time pay per hour:

  OT pay rate = 1.5 × $12.20 = $18.30 . . . per hour

The amount of overtime is 52 hours - 40 hours of straight time = 12 hours. Then the overtime pay is ...

  12 hours at $18.30 per hour = $219.60

__

c) Brown's total pay is the sum of straight-time pay and overtime pay:

  $488.00 +219.60 = $707.60 . . . total pay

Answer:

A, C, and D

Step-by-step explanation:

If you split the shape right along the bottom of the first part, you get two parallelograms. If you split it like you split it the first time and then split it along the side of the bottom parallelogram you get a triangle, a parallelogram, and a trapezoid. Then, because the area of a parallelogram is A=bh, you can substitute the numbers in. 5*12=60 and 6*11=66. However, this is not all, remember to add the area together! 60+66=126 so D is also true.

Hope this helps!

The proportion that shows the relationship is h/4 = 8/h

The values of a, h and b are a = 16√3, b = 16√6 and h = 4√2

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

The similar triangles

Using the right triangle/altitude similarity theorem, we have

h/4 = 8/h

Calculating the values of a, h and b

In (a), we have

h/4 = 8/h

This means that

h² = 32

So, we have

h = 4√2

For the value of (a), we have

a² = h² + 4²

So, we have

a² = 32 + 4²

a² = 48

Evaluate

a = 16√3

Next, we have

b² = 32 + 8²

b² = 96

So, we have

b = 16√6

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Answer:

Step-by-step explanation:

BE is midsegment of ACDF

Similarly, FA is midsegment of BEZW

Substitute x with 8:

Answer:

there should be 3 half cups

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

The jug used by older adults has a volume of 300 ml. To convert 3 liters to milliliters.

We multiply three by 1000, giving us 3000 ml. The ratio of the jug to the kettle can be simplified to 1:10.

To convert 360°F to °C, we use the formula (360-32) ÷ 1.8, which gives us 182°C rounded off to the nearest 10°C.

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

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The values of the composite functions are

(1) (f + g)(x) = 4x² + 2x - 2

(2) (fg)(x) = 8x³ - 4x² - 2x + 1

(3) (fⁿ)(x) = (4x² - 1)ⁿ

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

f(x) = 4x² - 1

g(x) = 2x - 1

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

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 4x² - 1 + 2x - 1

Evaluate the like terms

(f + g)(x) = 4x² + 2x - 2

(fg)(x) = f(x) * g(x)

(fg)(x) = (4x² - 1) * (2x - 1)

Evaluate the products

(fg)(x) = 8x³ - 4x² - 2x + 1

(fⁿ)(x) = (f(x))ⁿ

So, we have

(fⁿ)(x) = (4x² - 1)ⁿ

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