A wholesale supplier carried files weighing 23 3/4 pounds to a retail store. If he packs them into bags of 2 3/4 pounds each, how many bags are there? Equation

The slope-intercept form of the equation of the line through the given point and parallel to the given line is y=x−14.

In the given question we have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.

The given points are (–2, –16).

The given equation of line is y = x – 5.

Standard equation of line is y=mx+c.

After comparing to the standard equation.

Slope m(1) = 1

The line passes through (−2,−16), so the point will satisfy the equation y=mx+c. So

−16=−2*1+c

Simlifying

−16=−2+c

Add 2 on both side, we get

c = −16+2

c = −14

As we know that if line is parallel then

m(1)=m(2)

So the value of solpe m = 1

Now the equation of line

y=1*x+(−14)

y=x−14

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The right answer is:

How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?

Point (−2,−16), y = x – 5

Answer:

90 degrees

90 degreesPerpendicular lines are lines that intersect at a right (90 degrees) angle.

Answer:

A. a net

Step-by-step explanation:

I did the test

Answer: (2/3, infinity). To determine when the particle is speeding up, we need to look at the derivative of the velocity function. The derivative of the velocity function will tell us the acceleration of the particle at any given time.

If the acceleration is positive, then the particle is speeding up. If the acceleration is negative, then the particle is slowing down.
So, we need to find the values of t for which the derivative of the velocity function is positive.
Let's assume that the velocity function is v(t) = 3t^2 - 4t + 1.

The derivative of this function is v'(t) = 6t - 4.
To find when the particle is speeding up, we need to find when v'(t) > 0.
6t - 4 > 0
6t > 4
t > 4/6
t > 2/3
So, the particle is speeding up when t > 2/3.

In interval notation, this is (2/3, infinity).

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Answer:

2 000 000 \(cm^{2}\)

Step-by-step explanation:

100 \(km^{2}\) = 1 000 000 000 000 \(cm^{2}\)

the scale of 1:500000 means that 1 cm in the map represents 500000 cm in reality

So on the map this pond's area would be

\(\frac{1 000 000 000 000}{500000}\) = 2 000 000 \(cm^{2}\)

Match the Data Visualisation terms as follows:

1. Numpy: Working with arrays and matrices.

2. Bar chart: Representing categorical data with rectangular bars.

3. Pip: Package installer for Python.

4. S: Statistical library for Python.

The following are the meanings of the given terms:

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The only value of d that satisfies the condition is d = 13.

To determine the values of d that make the statement true, we need to find the possible values that satisfy the condition 6∣79,31d. The notation "6∣79,31d" means that 6 divides the difference between 79 and 31d evenly.

To find these values, we can rewrite the equation as 79 - 31d = 6n, where n is an integer. Rearranging the equation gives us -31d = 6n - 79.

To satisfy this equation, the right-hand side (6n - 79) must be divisible by 31. By trying different values of n, we find that when n = 13, the equation is satisfied. Thus, d = 13 is the only value that makes the statement true.

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The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.

To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:

S(n) = 70000(1.2)

S(n) = 84000

The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)

S(1) = 84000

The percent increase of her salary is: S(n) = 70000(1.2)n

S(n) - S(n-1) / S(n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = 20%

Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.

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Answer:

See below.

Step-by-step explanation:

Since the two triangles are similar, this means that their corresponding sides are proportional. In other words:

\(\frac{PQ}{XY}=\frac{QR}{YZ}=\frac{RP}{ZX}\)

Part A:

We already know PQ, RP, XY, and YZ.

To find XZ, we can use the first and third proportions:

\(\frac{PQ}{XY} =\frac{RP}{ZX} \\=\frac{7.2}{18}=\frac{6.5}{ZX}\)

Cross multiply:

\(117=7.2(ZX)\\ZX \text{ or } XZ = 16.25\)

Part B:

The same thing as Part A, but with the first and second proportions:

\(\frac{PQ}{XY}=\frac{QR}{YZ}\\\frac{7.2}{18}=\frac{QR}{7}\\50.4=18(QR)\\QR=2.8\)

Here is the probability distribution table:

|Outcome|Probability|
|-------|-----------|
|$0     |1/10       |
|S100   |4/10       |
|$200   |3/10       |
|$500   |2/10       |

To create the table, you simply list each possible outcome (in this case, the different amounts that could be won on the spinner), and then calculate the probability of each outcome occurring. In this case, there are 10 sectors in total, so the probability of landing on each sector is 1/10. There is 1 sector that says "$0," so the probability of getting that outcome is 1/10.

There are 4 sectors that say "S100," so the probability of getting that outcome is 4/10, or 2/5. Similarly, there are 3 sectors that say "$200," so the probability of getting that outcome is 3/10, or 3/10.

And finally, there are 2 sectors that say "$500," so the probability of getting that outcome is 2/10, or 1/5.

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Answer:

An inconsistent system doesn't have a solution.

Answer:

Can you show me the pattern?

Answer:

7.62

Step-by-step explanation:

length* width* height = 3/2*1/2*4=7.62 cm

The assertion is untrue. Regardless of whether a matrix is considered to be an augmented matrix for a linear system, the procedure can be applied to any matrix.

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The answer would be A. 7 Nickels

Step-by-step explanation:

let M be the midpoint of x and y

xM= (xX+xY)/2 =(0+88)2=44

yM=(Yx+yY)/2=(21_103)/2=_41

M(44,_41)

Answer:

Both of them work

Step-by-step explanation:

by multiplying the first equation by 2 it creates the same coefficient in front of "p" for both equations. same for the second equation and "q".

Both strategies works since we can easily eliminate a variable from both equations.

Given the simultaneous equation solved by Tyler

4p + 2q = 62

8p - q = 59

In order for him to eliminate a variable to solve the system of equations, he must ensure that the coeffiecient of the variable to be eliminated are equations in both expressions. To do that;

8p + 4g = 124

8p - q = 59

Subtract

4q + q = 124 + 59

5q = 183

The second required strategy is  to Multiply 8p-q=59 by 2, then add the result to 4p + 2q = 62, to have:

16p-2q=118

4p + 2q = 62

Adding up

16p + 4p = 118 + 62

20p = 180

p = 9

We can see that both strategies works since we can easily eliminate a variable from both equations.

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Answer:

x=3, y=0.8

Step-by-step explanation:

8x+5y=28

4x+5y=16

Subtract the second simultaneous equation from the first.

You are left with: 4x=12

12/4=3

x=3

Substitute this back into one of the equations.

8(3)+5y=28

8*3=24

28-24=4

4=5y

4/5=0.8

y=0.8

Answer: x=3, y=4/5 or 0.8

Step-by-step explanation:

To find x and y, you can use elimination.

8x+5y=28

4x+5y=16

In both equations, there is a 5y. This way, we can cancel them out by subtracting the 2 equations.

4x=12

x=3

Now that we know x, we can plug it back into either equation to find y.

8(3)+5y=28

24+5y=28

5y=4

y=4/5=0.8

The probability of wearing a white shirt tomorrow is 1/3 according to the stated data.

It must be noted that probability of wearing the white shirt will remain same for each day based on the stated data. Now, calculating probability for wearing white shirt on any random day.

Probability = likelihood of events/total number of events

Likelihood of events = 6

Total number of events is the number of days considered

Keep the values in formula

Probability = 6/18

Simplifying the formed fraction

Probability = 1/3

Hence, the probability of wearing a white shirt tomorrow is 1/3.

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Answer:

\(\frac{2.40dollars}{1box}\)

Step-by-step explanation:

A unite rate is a rate at which the quantity of something is set at one unit. We can write $12 for 5 boxes as:

\(\frac{dollars}{boxes}\\\)

\(\frac{12}{5}\)

To write that as a unit rate, we'll have to divide that fraction by \(\frac{5}{5}\):

\(\frac{12}{5}\) ÷ \(\frac{5}{5} =\)

\(\frac{2.4}{1}\)

Label the answer above by providing the unit next to the number.

-

To check your work, you can multiply \(2.4\) by \(5\) to see if it will equal 12.

\(2.4(5)=\)

\(12\)

And of course, \(1\) multiplied by \(5\) will be 5:

\(\frac{12}{5}\)

And we're back with what we've started with, therefore our solution is correct!

Answer:

no

Step-by-step explanation:

hey

Answer:

6x=100 that's the algebraic expression

To calculate Mrs Jendor's profit, we first need to determine the cost price of the radio set.

Let's assume that the cost price of the radio set is "x".

We know that Mrs Jendor made a profit of 10% on the cost price. This means that the selling price is 110% of the cost price.

We can write this as:

Selling price = Cost price + Profit

29,700 = x + 0.1x

Simplifying this equation, we get:

1.1x = 29,700

x = 27,000

So, the cost price of the radio set is 27,000.

Now, we can calculate the profit made by Mrs Jendor:

Profit = Selling price - Cost price

Profit = 29,700 - 27,000

Profit = 2,700

Therefore, Mrs Jendor made a profit of 2,700 on the sale of the radio set.

Answer:

200 cm²

Step-by-step explanation:

→ Work out the area of the 2 triangles

0.5 × 15 × 8 × 2 = 120 cm²

→ Work out the area of the bottom

15 × 2 = 30

→ Work out the area of the back

8 × 2 = 16

→ Work out the area of the top

17 × 2 = 34

→ Add all together

120 + 30 + 16 + 34 = 200 cm²

Answer:

-4

Step-by-step explanation:

3x-8x+4=24

-5x=24-4

-5x=20

x=-4

Answer:

Step-by-step explanation:

\(3x + 4 - 8x = 24 \\ \)

Simplify the expression on the left side of the equation

That's

\(4 - 5x = 24\)

Subtract 4 from both sides of the equation

\(4 - 4 - 5x = 24 - 4\\ - 5x = 20\)

Divide both sides by - 5

\( \frac{ - 5x}{ - 5} = \frac{20}{ - 5} \\ \)

We have the final answer as

\(x = - 4 \\ \)

Hope this helps you

Answer:

add them together and set them equal to 180

Step-by-step explanation:

They are both supplementary angles, so 15x+85+20x-10=180, so combine like terms=>35x+75=180

subtract 75 from both sides=>35x=105

divide both sides by 35 to get x alone=>x=3

plug that in for 20x-10

20(3)-10

=>60-10

=>50

The missing side of the right triangle is as follows:

a = 22.7 units

b = 10.6 units

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios as follows:

Hence,

sin 25 = opposite / hypotenuse

sin 25° = b / 25

cross multiply

b = 25 sin 25

b = 25 × 0.42261826174

b = 10.5654565435

b = 10.6 units

cos 25 = adjacent / hypotenuse

cos 25 = a / 25

cross multiply

a = 25 cos 25

a = 22.6576946759

a = 22.7 units

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