The office needs 6 new devices worth $7200. The order consists of new computers (C) which cost $1425 each and printers (P) which cost $750 each. How many of the new devices are computers and how many are printers?​

Answers

Answer 1
C + P = 6
C = -P + 6

750P + 1425C = 7200
750P + 1425(-P + 6) = 7200
750P - 1425P + 8550 = 7200
-675P = -1350
P = 2

C + 2 = 6
C = 4

Related Questions

What is the gradient of the blue line?

5
4
3
2
1
-5 -4 -3 -2 - 1 0 1. 2. 3. 4. 5
- 1
- 2
- 3
- 4
- 5




The line starts at (-5,3) and finishes (5,0.5)​

Answers

Answer:

The gradient is -0.25

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-5,3)[/tex]

[tex](x_2,y_2) = (5,0.5)[/tex]

Required

The gradient (m)

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{0.5-3}{5--5}[/tex]

[tex]m = \frac{-2.5}{10}[/tex]

[tex]m = -0.25[/tex]

The greatest number of elements possible in

Answers

Answer:

4

9

Step-by-step explanation:

If X has 5 elements, and Y has 4 elements, and all 4 of Y's elements are the same as 4 of X's elements, then the intersection of the sets has 4 elements.

If X has 5 elements and Y has 4 elements, and they are all different, then the union of the sets has 9 elements.

Answer:

4

9

Lim x>0 (x(e^3x - 1)/(2 - 2cosx))

Answers

Evaluating the limand directly at x = 0 yields the indeterminate form 0/0. If L'Hopital's rule is known to you, you can compute the limit by applying it twice:

[tex]\displaystyle\lim_{x\to0}\frac{x\left(e^{3x}-1\right)}{2-2\cos(x)} = \lim_{x\to0}\frac{3xe^{3x}+e^{3x}-1}{2\sin(x)} \\\\\\ = \lim_{x\to0}\frac{9xe^{3x}+6e^{3x}}{2\cos(x)} = \frac62=\boxed{3}[/tex]

Gemma recently rode her bicycle to visit her friend who lives 6 miles away. On her way there, her average speed was 16 miles per hour faster than on her way home. If Gemma spent a total of 1 hour bicycle, find the two rates.

Answers

first speed --- x mph

return speed -- x+16 mph

6/x + 6/(x+16) = 1

times each term by x(x+16)

6(x+16) + 6x = x(x+16)

x^2 + 4x - 96 = 0

(x-8)(x+12) = 0

x = 8 or x is a negative

her first speed was 8 mph

her return speed was 24 mph

check:

6/8 + 6/24 = 1 , that's good!

Find the mean of the following data set.

8, 5, 15, 12, 10

A. 12.5
B. 10
C. 14
D. 50

Answers

Answer:

10

Step-by-step explanation:

the sum of 8,5,15,12,10 is 50 and there are 5 numbers so 50 divided by 5 is 10 and it's mean is also 10

hope this helps !

The answer is B/10 trust

Please help:

Given: ∠4 is congruent to ∠2
Prove: ∠3 and ∠1 are supplementary

Statements and Reasons

Answers

Answer:

See Below.

Step-by-step explanation:

We can write a two-column proof.

Statements:                                                Reasons:

[tex]\displaystyle 1)\, \angle 4\cong \angle 2[/tex]                                                   Given

[tex]\displaystyle 2)\, \angle 3 \cong \angle 4[/tex]                                                   Vertical Angles are Congruent

[tex]\displaystyle 3) \, \angle 1 + \angle 2 = 180[/tex]                                          Linear Pair

[tex]\displaystyle 4)\, \angle 1 + \angle 4 = 180[/tex]                                          Substitution

[tex]\displaystyle 5) \, \angle 1 + \angle 3 = 180[/tex]                                          Substitution

[tex]\displaystyle 6) \, \text{$\angle 3$ and $\angle 1$ are supplementary}[/tex]                  Definition of Supplementary Angles

andrea uses 3.12 cups of flour in a recipe that makes 8 key lime cupcakes. Corey uses 2.52 cups of flour in a recipe that makes 7 key lime cupcakes. How much more flour per cupcake is needed for corey's recipe

Answers

Answer:

0.03 more flour per cupcake

Step-by-step explanation:

3.12/8 = 0.39

2.52/7 = 0.36

0.39 - 0.36 = 0.03

Hope this helps c:

(x-1)/(x-1)=1, what is the answer and explenation

Answers

The answer is all real numbers (ℝ).
Anything you plug in for x makes the identity still one.

3x+4 number of terms

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

In this expression, the terms are the parts of the sum. They are 3x and 4. There are 2 terms.

What is the value of k?
K=?

Answers

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

The geometric mean theorem for the altitude tells you ...

  ON = √(OL·OM)

  ON² = OL·OM . . . . . square both sides

  4² = 8·k . . . . . . . . substitute values

  k = 16/8 = 2 . . . . divide by the coefficient of k

_____

Additional comment

The geometric mean theorem for the legs tells you ...

  MN = √(MO·ML)   ⇒   l = 2√5

  LN = √(LO·LM)   ⇒   m = 4√5

These relations come from the fact that corresponding sides of the right triangles are proportional. (All of the triangles are similar.)

Find the distance between the two points in simplest radical form. (-6,1) and (−8,−4)

Answers

Answer: 5

Step-by-step explanation: I think it is 5

What is the value of 3 minus (negative 2)?

A number line going from negative 5 to positive 5.

Answers

Answer:

5

Step-by-step explanation:

3-(-2) will become positive 5. so number line will go towards positive 5.

Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
The x y-coordinate plane is given.
The function enters the window in the second quadrant, goes up and right becoming less steep, crosses the y-axis at approximately y = 3.2, changes direction at the approximate point (0.7, 3.3), goes down and right becoming more steep, and stops at the closed point (2, 3).
The function starts again at the open point (2, 1), goes up and right becoming more steep, goes up and right becoming less steep, passes through the open point (4, 4), changes direction at the approximate point (4.2, 4.1), goes down and right becoming more steep, and exits the window in the first quadrant.
(a) lim x → 2− f(x)
(b) lim x → 2+ f(x)
(c) lim x → 2 f(x)
(d) f(2)
(e) lim x → 4 f(x)(f) f(4)

Answers

Answer:

Hence the answer is given as follows,

Step-by-step explanation:

Graph of y = f(x) given,

(a) [tex]\lim_{x\rightarrow 2^{-}}f(x)=3[/tex]

(b) [tex]\lim_{x\rightarrow 2^{+}}f(x)=1[/tex]

(c) [tex]\lim_{x\rightarrow 2}f(x)= DNE \left \{ \therefore \lim_{x\rightarrow 2^{-}} f(x)\neq \lim_{x\rightarrow 2^{+}}f(x) \right.[/tex]

(d) [tex]f(2)=3[/tex]

(e) [tex]\lim_{x\rightarrow 4}f(x) = 4[/tex]

(f) [tex]f(4)= DNE.[/tex]{ Hole in graph}

Hence solved.

PLEASE HELP!!! I have been adding and multiplying many different ways however my answer are wrong. How do I go about solving the perimeter then?

Answers

Answer:

66 m

Step-by-step explanation:

First, lets add up the numbers you know. It should be:

16, 8, 17, and 7.

Add them all up, and you will get:

48.

For the last two sides, subtract 7 from 16 to get 9.

For the last slide, subtract 8 from 17 to get 9.

Add them all up, and get 66.

Andrew wants to build a square garden and needs to determine how much area he has for planting the perimeter of the garden is between 12 and 14 feet what is the range if the possible areas

Answers

Answer:

9 ft^2 and 12.25 ft^2

Step-by-step explanation:

We need to figure out the area for a square with a perimeter of 12 feet and 14 feet.

A square has four sides that are all equal in length, therefore:

12/4 = 3

14/4 = 3.5

3 and 3.5 are the individual side lengths of the garden, so to find the area, we just multiply those numbers by themselves (since it is a square garden).

3*3 = 9

3.5*3.5 = 12.25

Therefore, the answer is 9 ft^2 and 12.25 ft^2

Which statement is true about the equations
-3x + 4y = 12 and 1/4x-1/3y = 1

O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
O The system of the equations has no solution; the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.

Answers

The third option; solve the equation and get x=4+4/3y then substitute it into the first equation for x; -3( 4+4/3y) +4y=12 and solve to get no solution

Also, when you graph the two lines they are parallel

The quadrilateral KLMN is dilated with the center of dilation located at point M. Which statement is accurate?
1. The scale factor is 3, which means the length of the image of segment KL will be 1/3 times as long.

2. The scale factor is 1/3, which means the length of the image of segment KL will be 1/3 times as long.

3. The scale factor is 3, which means the length of the image of segment KL will be 3 times as long.

4. The scale factor is 1/3, which means the length of the image of segment KL will be 3 times as long.

Answers

Answer:

3. The scale factor is 3, which means the length of the image of segment KL will be 3 times as long.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure. If a point A(x, y) is dilated about the center of dilation located at O(a, b), the new point is at A'[k(x - a) + a, k(y - b) + b].

Quadrilateral KLMN has vertices at K(2, 1), L(-1, -5), M(6, -5) and N(6, 1). If it is dilated by 3, about the center M(6, -5), the new points are:

K' = (3(2 - 6) + 6, 3(1 - (-5)) + (-5)) = (-6, 13)

L' = (3(-1 - 6) + 6, 3(-5 - (-5)) + (-5)) = (-15, -5)

M' = (3(6 - 6) + 6, 3(-5 - (-5)) + (-5)) = (6, -5)

N' = (3(6 - 6) + 6, 3(1 - (-5)) + (-5)) = (6, 13)

Therefore the image of segment KL will be 3 times long.

Type the correct answer in each box. Use numerals instead of words.
Multiply the expressions.



If a = 1, find the values of b, c, and d that make the given expression equivalent to the expression below.

Answers

Answer:

a=1, b=9, c=-2, d=4

Step-by-step explanation:

20 and 1/2 feet times 13 and 1/8 feet is what total

Answers

Answer:

269 and 1/16 feet total (or 269.0625 feet to be precise)

Step-by-step explanation:

20 and 1/2 = 20.5

13 and 1/8 = 13.125

20.5 * 13.125 = 269.0625 feet = 269 and 1/16 feet

A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h and base length b of the box be so as to maximize its volume

Answers

Answer:

[tex]b=h=\sqrt{6}[/tex] m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box=[tex]2b^2+4bh[/tex]

[tex]2b^2+4bh=36[/tex]

[tex]b^2+2bh=18[/tex]

[tex]2bh=18-b^2[/tex]

[tex]h=\frac{18-b^2}{2b}[/tex]

Volume of box, V=[tex]b^2h[/tex]

Substitute the values

[tex]V=b^2\times \frac{18-b^2}{2b}[/tex]

[tex]V=\frac{1}{2}(18b-b^3)[/tex]

Differentiate w. r.t b

[tex]\frac{dV}{db}=\frac{1}{2}(18-3b^2)[/tex]

[tex]\frac{dV}{db}=0[/tex]

[tex]\frac{1}{2}(18-3b^2)=0[/tex]

[tex]\implies 18-3b^2=0[/tex]

[tex]\implies 3b^2=18[/tex]

[tex]b^2=6[/tex]

[tex]b=\pm \sqrt{6}[/tex]

[tex]b=\sqrt{6}[/tex]

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

[tex]\frac{d^2V}{db^2}=-3b[/tex]

At  [tex]b=\sqrt{6}[/tex]

[tex]\frac{d^2V}{db^2}=-3\sqrt{6}<0[/tex]

Hence, the volume of box is maximum at [tex]b=\sqrt{6}[/tex].

[tex]h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}[/tex]

[tex]h=\frac{18-6}{2\sqrt{6}}[/tex]

[tex]h=\frac{12}{2\sqrt{6}}[/tex]

[tex]h=\sqrt{6}[/tex]

[tex]b=h=\sqrt{6}[/tex] m

Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper and pencil. You decide to use a third-degree Taylor polynomial expanded around x = 0. Use the fact that e^0.4 < e < 3 and the Error Bound for Taylor Polynomials to find an upper bound for the error in your approximation.
I error l ≤

Answers

Answer:

upper bound for the error, | Error |  ≤ 0.0032

Step-by-step explanation:

Given the data in the question;

[tex]e^{0.4[/tex] < e < 3

Using Taylor's Error bound formula

| Error | ≤ ( m / ( N + 1 )! ) [tex]| x-a |^{N+1[/tex]

where m = [tex]| f^{N+1 }(x) |[/tex]

so we have

| Error |  ≤ ( 3 / ( 3 + 1 )! ) [tex]|[/tex] -0.4 [tex]|[/tex]⁴

| Error |  ≤ ( 3 / 4! ) [tex]|[/tex] -0.4 [tex]|[/tex]⁴

| Error |  ≤ ( 3 / 24 ) [tex]|[/tex] -0.4 [tex]|[/tex]⁴

| Error |  ≤ ( 0.125 ) [tex]|[/tex] -0.0256 [tex]|[/tex]

| Error |  ≤ ( 0.125 ) 0.0256

| Error |  ≤ 0.0032

Therefore, upper bound for the error, | Error |  ≤ 0.0032

Jamie left home on a bike traveling at 24 mph. Five hours later her brother realized Jamie had forgotten her wallet and decided to take it to her. He took his car and traveled at 64 mph. How many hours must the brother drive to catch Jamie?

Answers

Answer:

3 hrs

Step-by-step explanation:

5 * 24 = 120 miles

64x = 120 + 24x

40x = 120

x = 3 hrs

Trigonometric ratio: find an angle measure​

Answers

Answer:

[tex]T =56.3[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Measure of T

This is calculated as:

[tex]\cos T = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos T = \frac{5}{9}[/tex]

Take arccos

[tex]T = \cos^{-1}{(5/9)}[/tex]

[tex]T =56.3[/tex]

The probability that a 38-year-old white male will live another year is .99813. What premium would an insurance company charge to break even on a one-year $1 million term life insurance policy

Answers

Answer:

The insurance company should charge $1,873.5.

Step-by-step explanation:

Expected earnings:

1 - 0.99813 = 0.00187 probability of the company losing $1 million(if the client dies).

0.99813 probability of the company earning x(price of the insurance).

What premium would an insurance company charge to break even on a one-year $1 million term life insurance policy?

Break even means that the earnings are 0, so:

[tex]0.99813x - 0.00187(1000000) = 0[/tex]

[tex]0.99813x = 0.00187(1000000)[/tex]

[tex]x = \frac{0.00187(1000000)}{0.99813}[/tex]

[tex]x = 1873.5[/tex]

The insurance company should charge $1,873.5.

insert a digit in place of each ... to make a number that is divisible by 6
4 . . . 6

Answers

Answer:

2

Step-by-step explanation:

A researcher believes that 5% of pet dogs in Europe are Labradors. If the researcher is right, what is the probability that the proportion of Labradors in a sample of 806 pet dogs would be greater than 4%

Answers

Answer:

0.9036

Step-by-step explanation:

Calculation to determine the probability that the proportion of Labradors

P(Proportion greater than 4%)

= P(z> 0.04 -0.05 /√0.05 * 0.95/806

= P(z > -1.30)

=0.9036

Thereforethe probability that the proportion of Labradors is =0.9036

The total cost (in dollars) of printing x dictionaries is C(x) = 20,000 + 10x. Find the average value of the cost function over the interval [0, 700).

Answers

Answer:

The average value of the cost function over the interval  is of $23,500.

Step-by-step explanation:

Average value of a function:

The average value of a function, over an inteval [a,b], is given by:

[tex]A = \frac{1}{b-a} \int_{a}^{b} f(x) dx[/tex]

In this case:

Function [tex]C(x) = 20000 - 10x[/tex], interval with [tex]a = 0,b = 700[/tex]

So

[tex]A = \frac{1}{700} \int_{0}^{700} 20000+10x dx[/tex]

[tex]A = \frac{1}{700} (20000x+5x^2)|_{0}^{700}[/tex]

So

[tex]A = \frac{20000(700)+5(700)^2}{700} = 23500[/tex]

The average value of the cost function over the interval  is of $23,500.

2/9 divided by 5/6
help pleaseee​

Answers

Hey there!

[tex]\mathsf{\dfrac{2}{9}\div\dfrac{5}{6}}[/tex]

[tex]\mathsf{= \dfrac{2\times6}{9\times5}}[/tex]

[tex]\mathsf{2\times 6 = \bf 12}[/tex]

[tex]\mathsf{9\times5 = \bf 45}[/tex]

[tex]\boxed{\mathsf{=\bf \dfrac{12}{45}}}[/tex]

[tex]\large\textsf{BOTH NUMBERS has the Greatest Common Factor (GCF) of 3}[/tex]

[tex]\mathsf{= \dfrac{12\div3}{45\div3}}[/tex]

[tex]\mathsf{12\div3=\bf 4}[/tex]

[tex]\mathsf{45\div3=\bf 15}[/tex]

[tex]\boxed{\mathsf{=\bf \dfrac{4}{15}}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{4}{15}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\~\frak{Amphitrite1040:)}}[/tex]

ANSWER ASAP IM BEING TIMED
IF I GET AN A ON THIS I WILL DO ANOTHER POINT FREE DROP, PLEASE SHOW YOUR WORK
The lengths of three sides of a quadrilateral are shown below:

Side 1: 1y2 + 3y − 6

Side 2: 4y − 7 + 2y2

Side 3: 3y2 − 8 + 5y

The perimeter of the quadrilateral is 8y3 − 2y2 + 4y − 26.

Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points)

Part B: What is the length of the fourth side of the quadrilateral? (4 points)

Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)

Answers

Answer:

Part A

(1y^2+3y-6)+(4y-7+2y^2)+(3y^2-8+5y)

6y^2+12y-21

Identify the effect on the graph of replacing f(x) by A f(x)

Answers

Answer:

See explanation

Step-by-step explanation:

Required

Effect of replacing [tex]f(x)[/tex] with [tex]f(x - h)[/tex]

f(x) is represented as: (x,y)

While

f(x - h) is represented as (x - h, y)

Notice the difference in both is that, the x value in f(x - h) is reduced by a constant h while the y value remain unchanged.

This means that the graph of f(x) will shift horizontally (i.e. along the x-axis) to the left by h units

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Cu 1: Trong cc dung dch sau, dung dch no lm qu tm i mu xanh? A. HCl B. H2SO4 C. NaOH D. NaCl Cu 2: Baz no di y l baz khng tan?A. KOH B. NaOH C. Cu(OH)2 D. Ca(OH)2Cu 3: Trong cc cht sau y, cht no khng phi l mui?A. HCl B. KCl Which part of the brain is indicated by the arrow below?PonsCerebellumCerebrumMedulla oblongata What type of factors would have thegreatest influence on a denselypopulated area?A. droughtB. density-dependent factorsC. density-independent factors A hammer tool can only be used by one technician at a time to perform hitting. Accordingly, you have developed a Hammer class with a hit method. Objects of class Hammer are used to simulate different hammers, while threads are created to simulate users. Which situation needs to add the synchronized keyword to the hit method Round each to the nearest cent.$879.190and$532.626 ? 1) 1. What is the central idea of the article?A People have a large influence over others when they are in a group.B One can avoid a group's influence by staying aware of who they are.C People lose a sense of who they are as individuals when they are in a group.D One can look to group behavior for the cause of some of the worst atrocities in history. please [tex] \sin(120) \\ \tan( \frac{3\pi}{4} ) [/tex]help me I need help In markets where the government imposes an excise tax on unit sales, it also has a tendency to dabble with restrictions on advertising (for example, cigarettes and hard liquor). Do potential (or actual) restrictions on advertising in these markets serve the interest of a government that is interested in maximizing its tax revenue from the sale of these products? Explain your answer Psychological characteristics of Thai tourists Simplify Square root (150n^2) Capstone Inc. collects 85% of its sales on account in the month of the sale and 15% in the month following the sale. If sales on account are budgeted to be $265,000 for September and $225,000 for October, what are the budgeted cash receipts from sales on account for October? $fill in the blank 1 Segment addition and midpoints Imagine you found S. aureus to be resistant to Penicillin by Kirby Bauer analysis, but susceptible to Penicillin treatment in liquid culture (in other words, a MIC was determined). Which of the following are possible explanations for this inconsistency?a. The concentration of Penicillin was higher in the Penicillin antibiotic disk than that used in liquid culture treatment. b. The Penicillin disks used for Kirby Bauer analysis were expired/no longer active. c. The concentration of bacteria was lower on the Mueller Hinton plate for Kirby Bauer analysis than that used in liquid culture treatment Michael is cutting logs. He has 3 logs. Michael will cut each log by. Determine thenumber pieces of wood that Michael will have. 1. An experiment has a sample space of the following equally likely outcomes.S = {0, 2, 5, 8, 9, 11}Find the probability of each of the following events.a. E = {2}b. E = {0,5}c. E = {13}d. E = {0, 2, 5, 8, 9, 11}e. E = {8, 9, 11} Why do some researchers prefer to use embryonic stem cell in medical research?A. There is no controversy surrounding the use of embryonic stem callsB. The use of embryonic stem cell is much less expensive than the use of adult stem cellsC. No living tissue is damaged when scientists use embryonic stem cellsD. Embryonic stem cells are able to differentiate into a wider range of call than adult stem cells Explain how to combine the terms 5x an 3x A phase change from a solid to a gas is called: How did the Balfour Declaration contribute to tension between Jews and Arabs?It created the state of Israel.It supported the establishment of a Jewish homeland in Palestine.It created unlimited Zionist movements throughout the Middle East.It assimilated Jews into Arab culture. The answer is it supported the establishment of the Jewish homeland in Palestine!!!