(20 POINTS PLEASE HELP)


The table shows the average wholesale prices that a manufacturer charges for different types of computer products.

Enrique wants to purchase some of those products for a store he owns. His store will then sell the computer products to customers.

Enrique wants to spend $20,000 on the wholesale purchase of desktop computers and tablets only.

1. Write a linear equation in standard form that shows the number x of desktop computers and the number y of tablets that Enrique can buy. Explain why it is helpful to use the standard form of a linear equation for this situation.

Answer:

The answer is 5

Step-by-step explanation:

(3^0 + 4^-1) 2²

Zero power rule and Negative power rule:

(1 + 1/4) 4

Add then multiply:

(1.25) 4

=5

Answer:

TU=12.5

Step-by-step explanation:

2/10=2.5/x

cross multiply

2x=25

x=25/2

x=12.5

Answer:

2/10 = 2.5/TU

1/5 = 2.5/TU

TU/5 = 2.5, so TU = 12.5

The IQR (Interquartile Range) for the given data 10, 15, 17, 21, 25, 12, 16, 11, 13, 22 is option c) 6.25.

To compute the IQR, we need to find the difference between the first quartile (Q1) and the third quartile (Q3).

First, we arrange the data in ascending order: 10, 11, 12, 13, 15, 16, 17, 21, 22, 25.

Next, we find the median, which is the middle value of the dataset. In this case, the median is the average of the two middle values: (15 + 16)/2 = 15.5.

To find Q1, we consider the lower half of the data. The median of this lower half is the first quartile: (11 + 12)/2 = 11.5.

To find Q3, we consider the upper half of the data. The median of this upper half is the third quartile: (21 + 22)/2 = 21.5.

Finally, we calculate the IQR by subtracting Q1 from Q3: 21.5 - 11.5 = 10.

Converting the IQR to a decimal value: 10/1.6 ≈ 6.25.

Therefore, the IQR for the given data is approximately 6.25, corresponding to option c).

The IQR is a measure of statistical dispersion that provides valuable information about the spread of the dataset. It is robust against outliers and provides a clearer picture of the middle 50% of the data.

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Answer:

$24.99

Step-by-step explanation:

299.99- 150 = 149.99

12.50x is greater than or equal to 149.99.

12.50(10) = 125

149.99- 125 =24.99

Answer:

$24.99

Step-by-step explanation:

$12.50 x 10 = $125

$125 + $150 = $ 275

$299.99 - $275 = $24.99

Answer:

sry i in 8th grade i really don't know

Step-by-step explanation:

Answer:

4 times x + 15 = 6 times x -3

Answer:

Vertex: (-1,-9)

Step-by-step explanation:

The vertex of an up-down facing parabola of the form y=ax^2+bx+c is x=-b/2a

Plug the values into the equation

a=1, b=2, c=-8

x=-2/(2*1)

Simplify

x=-1

Plug in x=-1 to find the y value

y=1(-1)^2 + 2(-1) + (-8)

y= -9

Then put them in a coordinate pair

Vertex: (-1,-9)

Answer: I think its c

Step-by-step explanation:

Answer:

the rate of change would be 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

70% made it 30% didn't make it

Step-by-step explanation:

Step 1:

35/50 = x/100      Equation

Step 2:

50x = 3,500        Multiply

Step 4:

x = 3,500 ÷ 50      Divide

Answer:

x = 70

Hope This Helps :)

Answer:

math is the worst

Step-by-step explanation:

We are given three initial value problems, and we need to solve them using the Laplace transform method. The problems are as follows: a) y"+y' - 2y = -4e^-t, y(0) = 4, y'(0) = -9; b) y" - 3y + 2y = 0, y(0) = 3, y'(0) = 4; c) y" - 9y = 8(t - π), y(0) = -1, y'(0) = 2. In this problem, we will apply the Laplace transform to solve each equation.

a) Taking the Laplace transform of the given equation and using the initial conditions, we obtain the transformed equation:

[tex]s^2Y(s) - sy(0) - y'(0) + sY(s) - y(0) - 2Y(s) = -4/(s+1)[/tex]

Simplifying and solving for Y(s), we get:

Y(s) = [tex](4s^2 + 17s + 21)/(s^2 + s - 2)[/tex]

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = 3/(s-1) - 1/(s+2)

Now, we take the inverse Laplace transform to find the solution y(t):

y(t) = [tex]3e^t - e^{-2t}[/tex]

b) Applying the Laplace transform to the given equation and using the initial conditions, we obtain the transformed equation:

[tex]s^2Y(s) - sy(0) - y'(0) - 3Y(s) + 2Y(s) = 0[/tex]

Simplifying and solving for Y(s), we get:

Y(s) = (s+4)/(s-1)(s-2)

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = 1/(s-1) - 1/(s-2)

Taking the inverse Laplace transform, we find the solution y(t):

[tex]y(t) = e^t - e^{2t[/tex]

c) Applying the Laplace transform to the given equation and using the initial conditions, we obtain the transformed equation:

[tex]s^2Y(s) - sy(0) - y'(0) - 9Y(s) = 8(1/(s^2) - π/(s^{2+1}))[/tex]

Simplifying and solving for Y(s), we get:

[tex]Y(s) = (s-4)/(s^2+9) - 8/(s^2(s^{2+1)})[/tex]

Taking the inverse Laplace transform, we find the solution y(t):

[tex]y(t) = (cos(3t) - 4sin(3t))/3 - 4t + 8sin(t)[/tex]

Hence, we have obtained the solutions to the given initial value problems using the Laplace transform method.

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Answer: 10

Step-by-step explanation:

25/5 = 5

5*2 = 10

Step-by-step explanation:

Given,

x+y=20 ‐--------- eqn(1)

If, (x-14)+y=20

x+y= 20+14

y=34-x ——------- eqn(2)

Puting value of y in eqn(1).

Answer:

n=2

Step-by-step explanation:

Answer:  n = 2

----------------------

(a) Plan 1 is cheaper <30 hours, Plan 2 is cheaper >30 hours.

(b) Plan 1 is cheaper <1250 minutes ,Plan 3 is cheaper >1250 minutes.

(c) Plan 1 < Plan 4, Plan 2 < Plan 4, Plan 3 < Plan 4.

(a) To compare Plan 1 and Plan 2, we consider the breakeven point where the cost of both plans is the same. Plan 1 is cheaper for customers who make less than 30 hours of calls, while Plan 2 is cheaper for customers who make more than 30 hours of calls.

(b) To compare Plan 1 and Plan 3, we consider the breakeven point where the cost of both plans is the same. Plan 1 is cheaper for customers who make less than 1250 minutes of calls, while Plan 3 is cheaper for customers who make more than 1250 minutes of calls.

(c) Plan 1 is always cheaper than Plan 4 since Plan 4 charges $0.05 per minute for all calls, making it more expensive than Plan 1's flat fee.

(d) To compare Plan 2 and Plan 3, we consider the breakeven point where the cost of both plans is the same. Plan 2 is cheaper for customers who make less than 750 minutes of calls, while Plan 3 is cheaper for customers who make more than 750 minutes of calls.

(e) Plan 2 is always cheaper than Plan 4 since Plan 4 charges $0.05 per minute for all calls, making it more expensive than Plan 2's additional charge of $0.01 per minute after 30 hours.

(f) Plan 3 is always cheaper than Plan 4 since Plan 4 charges $0.05 per minute for all calls, while Plan 3 charges $0.04 per minute.

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Answer: the vehicles are 90 miles in the race

Answer:

A, C, D

Step-by-step explanation:

Just took the assignment :D

3.4  Step-by-step explanation:

The area of path is 13.5 m².

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.

Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".

length of flower bed = 3m

width of flower of bed = 1.5 m

length of bed along path = 3 + 1+ 1 = 5m

width of flower bed = 1.5 + 1+ 1 = 3.5 m

So, area of flower bed along path = 5 x 3.5 = 17.5 m²

and, area of flower bed = 3 x 1.5 = 4.5 m²

Thus, area of path = 17.5 - 4.5 = 13.5 m²

hence, the area of path is 13.5 m².

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they add 2 with each no.

2+2=4

4+2=6

6+2=8

8+2=10

the multiples of 2

HOPE IT HELPS (◕‿◕✿)

Answer:

the Pacific pattern is +2

Answer:

80 degrees, explanation down below

Step-by-step explanation:

according to the vertical angle theorem, two vertical angles are the same angle measure. so, angle CBD and angle ABF must be the same. this is 100 degrees. now, according to the corresponding angles theorem, corresponding angles are supplementary to each other (they add up to 180 degrees), so angle ABF and angle EFB are supplementary. since angle ABF is 100 degrees, we can subtract that from 180 degrees. therefore, angle x (same thing as EFB) is 80 degrees.

Answer:

80 is the answer

Explanation: angle CD=100

                    angle CA= 180-100      (linear pair)

                                    = 80

                      angle x = 80 (because when cbd = 100°, bfh = 100; therefore angle x=180-100 = 80

Mathematical Reason: if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = y

Equation One

x = 1/2 y + 6;

2x = y + 12

2x - 12 = y

Second Equation

x^2 - y^2 = 99        Substitute for y^2

x^2 - (2x - 12)^2 = 99

x^2 - (4x^2 - 48x + 144) = 99

x^2 - 4x^2 + 48x - 144 = 99

- 3x^2 + 48x - 144 - 99 = 0

- 3x^2 + 48x - 243 = 0           Divide by -3

x^2 - 16x + 81 = 0

Use of the quadratic formula gives

8 +/- 123i

You may not know how to get complex numbers, but that is what this one comes to.

Answer:

Step-by-step explanation:

4QWWQWQWQ