Use any model you choose to find the quotient. 4 divided by 1/3

We are given point (2,5).

We need to find the equation of line perpendicular to the given line and passes through the point (2, 5).

We know point-slope form :

y-y1 = m(x-x1).

Plugging values of (x1,y1) = (2,5) in above slope-intercept form, we get

y - 5 = m(x-2).

Which matches 3rd option y − 5 = −(x − 2).

Answer:

The answer is C.

Step-by-step explanation:

We have been given a Venn diagram in which U = {students in 10th grade at Lee High School}. We are asked to find how many students have chosen to participate in the painting class.

We  can see from our Venn diagram that 3 students are participating in chorus and painting. 2 students are participating in chorus, theater and painting. 4 students are participating in painting and theater.

To find total students who have chosen to participate in the painting class we will add all the students who are participating in other activities with painting.

[tex]\text{Students participating in painting class}=8+3+2+4[/tex]

[tex]\text{Students participating in painting class}=17[/tex]

Therefore, 17 students have chosen to participate in painting class.

Answer:

17

Step-by-step explanation:

Final answer:

To find BD, we can use the fact that the opposite sides of a parallelogram are equal in length. The length of BD is 4.8 units.

Explanation:

In the given problem, we have a parallelogram ABCD with m∠A = 60º. BK is perpendicular to AD and AK = KD. The perimeter of ABCD is 24. To find BD, we can use the fact that the opposite sides of a parallelogram are equal in length. Since AK = KD, the length of AD is twice the length of AK.

Let AK = x. Then AD = 2x. The perimeter of ABCD is given by P = AB + BC + CD + AD. Substituting the given values, we have 24 = AB + BC + CD + 2x. We know that AB = CD, so the equation becomes 24 = 2AB + 2BC + 2x. Rearranging the terms, we get AB + BC + x = 12.

Using the fact that opposite sides of a parallelogram are equal in length, we can deduce that BC = AB. Substituting this into the equation, we have 2AB + AB + x = 12. Simplifying, we get 3AB + x = 12. Since AK = KD, we have x = KD. Substituting this into the equation, we have 3AB + KD = 12. Since AK = KD, we have 3AB + AK = 12. Since AK = KD, we have 3AB + 2AK = 12. Simplifying, we get 3AB + 2AB = 12. Combining like terms, we get 5AB = 12. Dividing both sides by 5, we get AB = 12/5. Since AB = CD, we have CD = 12/5. Since opposite sides of a parallelogram are equal in length, we have BD = AD = 2x = 2(12/5) = 24/5 = 4.8.

Final answer:

The correct function is B, 3log_5(x-4), which represents a logarithmic function that is vertically stretched by a factor of 3 and translated 4 units to the right.

Explanation:

The student is asking about transformations of a parent function, specifically a vertical stretch and a horizontal translation. When a function is vertically stretched by a factor of 3, this involves multiplying the function by 3. A translation of 4 units to the right would mean adjusting the input variable x by subtracting 4. Considering the options given, option B, 3log5(x-4), is the correct answer because it represents a function that has been vertically stretched by a factor of 3 and horizontally translated 4 units to the right from its parent function log5x.

Answer:

C. p → q

Step-by-step explanation:

We are given that,

'p' is represented by 'x = 4' and 'q' is represented by 'y = -2'.

That is, we have,

p: x = 4

q: y = -2

The given statement is, 'If x = 4, then y = -2'.

This means that whenever x = 4, then y = -2.

That is, 'x = 4 implies y = -2'.

Thus, it will be represented by p → q.

Answer:

The population of city A is [tex]74\%[/tex] of the population of city B

Step-by-step explanation:

Let

y------> population of the city A

x-----> population of city B

we know that

[tex](100\%-26\%)=74\%=\frac{74}{100}=0.74[/tex]

so

[tex]y=0.74x[/tex]

therefore

The population of city A is [tex]74\%[/tex] of the population of city B

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

[tex]3x-\frac{1}{5}-\frac{2}{9}x=\frac{124}{5}[/tex]

If two terms have the same variables having same powers, then they are known as like terms.

In the given equation [tex]3x[/tex] and [tex]-\frac{2}{9}x[/tex] are like terms.

So, when we simplify the given equation by combining like terms. we need to combined [tex]3x[/tex] and [tex]-\frac{2}{9}x[/tex] .

Therefore the correct option is C.

The solution to the equation is approximately x = 45.48.

To solve the equation 3x - 1/5 - 2/9x = 124/5,  to combine like terms. Like terms are terms that have the same variable and exponent.

The terms in the equation are:

3x (coefficient is 3, and the variable is x)

-1/5 (coefficient is -1/5)

-2/9x (coefficient is -2/9, and the variable is x)

Now, let's identify the like terms that  combined:

C) 3x and -2/9x

The terms 3x and -2/9x both have the variable x, so they are like terms and can be combined.

Step 1: Combine the like terms:

3x - 2/9x = (3 - 2/9)x = (27/9 - 2/9)x = (25/9)x

Now, after combining the like terms, the equation becomes:

(25/9)x - 1/5 = 124/5

Step 2: Isolate x on one side of the equation. To do this, we can first get rid of the fraction by multiplying the entire equation by the least common multiple (LCM) of the denominators, which is 45 (LCM of 9 and 5):

45 × [(25/9)x - 1/5] = 45 × (124/5)

This simplifies to:

25x - 9 = 1128

Step 3: Now, isolate x by moving the constant term (-9) to the other side of the equation:

25x = 1128 + 9

25x = 1137

Step 4: Finally, divide by 25 to solve for x:

x = 1137 / 25

x ≈ 45.48

To know more about  equation here

https://brainly.com/question/10724260

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Final answer:

The percent error of the estimated distance from your house to school is 15.8% when rounded to the nearest tenth.

Explanation:

To find the percent error of your estimate, you use the formula:

Error = (|Estimated value - Actual value| / Actual value) × 100

Plugging the values from your question:

Error = (|1.6 miles - 1.9 miles| / 1.9 miles) × 100

Error = (|-0.3 miles| / 1.9 miles) × 100

Error = (0.3 miles / 1.9 miles) × 100

Error = 0.15789473684 × 100

Error = 15.789473684%

When rounded to the nearest tenth of a percent, the percent error is 15.8%.

Ivan has 24 minutes of New Orleans jazz on his MP3 player.

To find out how much of an hour of New Orleans jazz Ivan has, we use the following steps:

1. We know that Ivan has an hour of jazz music on his MP3 player.

2. We are given that 2/5 of this jazz music is by musicians from New Orleans.

3. To find out how much of New Orleans jazz music that is, we calculate 2/5 of 1 hour.

Here's the calculation:

[tex]\( \frac{2}{5} \times 1 \text{ hour} = \frac{2}{5} \times 60 \text{ minutes} \)[/tex]

[tex]\( \frac{2}{5} \times 60 = \frac{120}{5} \text{ minutes} \)[/tex]

[tex]\( \frac{120}{5} = 24 \text{ minutes} \)[/tex]

Therefore, Ivan has 24 minutes of New Orleans jazz on his MP3 player.

complete question given below: