find the angle made by the line joining 5,3 and -1,-3 with the positive direction of x-axis​

Complete question :

The University but a total of 2200 computers they bought three kinds of computers HP, IBM and dell. The ratio of theNumber of HP computers to IBM to dell is 2:3:6 each HP computer cost $750 each dell computer cost 90% of the price of an HP computer if the University spent a total of $1,650,000 what is the total cost of each IBM computer

Answer:

$900

Step-by-step explanation:

Given that :

Total amount of computers purchased = 2200

Number of brands purchased = 3;

HP, IBM and DELL

The ratio of theNumber of HP computers to IBM to dell is 2:3:6

Cost per HP = $750

Cost per Dell = 90% of HP = 0.9 × $750 = $675

Total amount spent = $1,650,000

2:3:6 = (2+3+6) = 11

Number of IBM computers purchased :

(3/11) * 2200 = 600 IBM

(2/11) * 2200 = 400 HP

(6/11) * 2200 = 1200 DELL

TOTAL Cost of HP = (400 × $750) = $300,000

TOTAL cost of Dell = (1200 * $675) = $810,000

TOTAL cost of IBM :

$1,650,000 - ($300,000 + $810,000)

$1,650,000 - $1,110,000 = $540,000

Cost of each IBM:

540,000 / 600 = $900

Answer:

(3x/4) + 4

Step-by-step explanation:

convert al to decimal and then add

1.25 + 0.75 +0 .4 + 2x 0.375 + 1.6

Your question has been heard loud and clear.

Alright , so basically , the area of a circle formula = pi * R squared

R = radius = 4 units

Pi = 3.14

So , Area =  3.14 into 4 =  12.56 units

So Area of the circle = 12.56 units

Thank you

Answer:

The area is 50.24

Step-by-step explanation:

Here is the equation to find the area of a circle (π=3.14):

A=πr²

A=3.14·4²

A=3.14·16

A=50.24

Answer:

2([tex]x^{2}[/tex]+8x+17)

Step-by-step explanation:

Factor out 2 of the equation.

Answer:

For real numbers: no solution

For complex numbers: [tex] x = -4 \pm 4i [/tex]

Step-by-step explanation:

2x^2 + 16x + 34 = 0

Divide both sides by 2.

x^2 + 8x + 17 = 0

There are no two numbers whose product is 17 and whose sum is 8, so this polynomial is not factorable.

We can use the quadratic formula.

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

We have a = 1; b = 8; c = 17

[tex] x = \dfrac{-8 \pm \sqrt{8^2 - 4(1)(17)}}{2(1)} [/tex]

[tex] x = \dfrac{-8 \pm \sqrt{64 - 68}}{2} [/tex]

[tex] x = \dfrac{-8 \pm \sqrt{-64}}{2} [/tex]

If you have not learned imaginary or complex numbers, stop here. Since the discriminant is negative, there is no real solution.

If you have learned complex numbers, then we continue.

[tex] x = \dfrac{-8 \pm 8i}{2} [/tex]

[tex] x = -4 \pm 4i [/tex]

Answer: A'(3,2),  B'(0,1)  and C'(-4, -5).

Step-by-step explanation:

When we rotate (a,b) 90 degrees clockwise, the new point will be (b,-a).

i.e. rotation rule for 90 degrees clockwise : (x,y) → (y,-x)

Given: Triangle ABC with coordinate points A(-2,3); B(-1,0); C(5,-4) is rotated 90 degrees clockwise.

Then, the new image points for triangle A'B'C' will be :

A(-2,3) → A'(3,-(-2)) =A'(3,2)

B(-1,0)→ B'(0,-(-1)) = B'(0,1)

C(5,-4) → C'(-4, -5)

Hence, the new image points for triangle A'B'C' are A'(3,2),  B'(0,1)  and C'(-4, -5).

Answer:

part A : $4

part B : $16

Sue buys a certain brand of cereal that costs = $12 per box.

She changes to a super-saving brand of the same size.

The equation showing price y as a function of the number of boxes, x is for the new brand.

y = 8x

for x = 1, y = 8

So for 1 box super-saver cereal brand costs $8.00

Part A. - So saving per box = 12 - 8 = $4

Part B. - Money saved in 1 box = $4

Therefore, money saved in 4 boxes = 4 × 4 = $16

HOPE THIS HELP YOU FRIEND

The price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

putting x= 1, we get y = 8. Thus, for each box of super saving brand, Sue pays $8.

The difference between both box's price is: 12 - 8 = 4 dollars.

Also, as Sue saves 4 dollars on each box of cereal, and she buys 4 boxes of cereal, then if she buys the boxes of super saving brands, then she saves 4 dollars per box for 4 boxes, whose total is 4 times 4 =  16 dollars.

Thus, the price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

Learn more about forming equations here:

https://brainly.com/question/11938672

Answer:

x = 31 °

Step-by-step explanation:

90 = 58 + x

x = 90 - 58

x = 31 °

Answer:

x° = 32°

Step-by-step explanation:

∠BAC = ∠IAK = 58° (Vertically opposite angles)

∠GCJ = ∠ACB = x° (Vertically opposite angles)

Angles of a Δ ABC = 180°

Δ ABC = 90° + 58° + x° = 180°

⇒x° = 180° - 90° - 58 °

⇒x° = 32°

Step-by-step explanation:

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

[tex]\huge\underline\bold\green{Gïvëñ}[/tex]

[tex]\small\underline\bold\red{ v=0}[/tex]

[tex]\small\underline\bold\blue{ v = u+gt}[/tex]

[tex]\small\underline\bold\blue{0=20-10t}[/tex]

[tex]\small\underline\bold\blue{t = 2 sec}[/tex]

[tex]\huge\underline\bold\yellow{distance in first 2 second }[/tex]

s = s(t=0 to 2 second) + s(2second to 3 second)

s = (ut+1\2(at)^2+ (ut+1\2at^2)

s = 20×2-1\2×10×4+1\2×10×1

s = 25

[tex]\huge\underline\bold\blue{Displacement}[/tex]

s = 20 - 5 = 15

Hope it helps

Answer:

1 1/8

Step-by-step explanation:

So the first step is to convert all of them to fractions, so 3.25 become 3 1/4

Next, we do 4 3/8- 3 1/4

We convert 1/4 to 2/8

So, it's now 4 3/8- 3 2/8

The answer is 1 1/8

Answer:

so x=3

Step-by-step explanation:

f(x) = 2

We want to find the x value when y =2

Going across where y = 2

Then go down to find the x value x=3 when y = 2

f(3) =2

so x=3

Answer: 1/3

Step-by-step explanation:

Answer:

10 + 2c (i think)

Step-by-step explanation:

You do the $10 for his cores plus $2x The Amount of extra chores he did

Answer:

(1,-1)

Step-by-step explanation:

(1,-1) because if you subtract 5-6 you get -1 and 2-1 you get 1.

Answer:

if F where to move down 6 points then it would be 2, -1.

then if it where to move left 1 unit the coordinants for F prime would be

(1, -1)

Answer:

33.2

Step-by-step explanation:

Answer:

y = -5.5

Step-by-step explanation:

The only lines that have a slope of 0 are horizontal lines. Horizontal lines are always in the form y = c where c is a constant. Basically, on a horizontal line, no matter what x is, y will always be the constant c. Therefore, the x coordinate of our given point does not matter and we only have to look a the y-coordinate, which is -5.5. Therefore, the equation is y = -5.5.

Answer:

0.1 atoms

Step-by-step explanation:

Typically, there is 0.1 atoms in each cubic centimeter of interstellar wind, and 10 ions in each cubic centimeter of solar wind (versus surface air which contains 3 x 10^19 molecules per cc). This means there is a great deal of dead space between the very tiny particles and collisions are rare.

Answer-1 billion

Step-by-step explanation:

Answer:

A or C

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13}}}}}[/tex]

Step-by-step explanation:

Given, f = 3 and g = 5

[tex] \sf{f + {g}^{2} - 3g}[/tex]

Plug the values

⇒[tex] \sf{3 + {5}^{2} - 3 \times 5}[/tex]

Evaluate the power

⇒[tex] \sf{3 + 25 - 3 \times 5}[/tex]

Multiply the numbers : 3 and 5

⇒[tex] \sf{3 + 25 - 15}[/tex]

Add the numbers : 3 and 25

⇒[tex] \sf{28 - 15}[/tex]

Subtract 15 from 28

⇒[tex] \sf{13}[/tex]

Hope I helped!

Best regards! :D

Answer:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Step-by-step explanation:

We want to solve the quadratic inequality:

[tex]9x^2-15x<6[/tex]

In order to solve a quadratic inequality, find its zeros. That is, let the inequality sign be an equal sign and solve for x. We do this because it denotes when the graph crosses the x-axis: that is, when it is positive and/or negative. This yields:

[tex]9x^2-15x=6[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned} 9x^2-15x-6 &= 0\\ 3x^2 - 15 -6 &= 0 \\ (3x+1)(x-2) &= 0\end{aligned}[/tex]

By the Zero Product Property:

[tex]\displaystyle 3x + 1 = 0 \text{ or } x - 2 = 0[/tex]

Hence:

[tex]\displaystyle x = -\frac{1}{3}\text{ or } x = 2[/tex]

Now, we can test intervals. The three intervals are: all values less than -1/3, values between -1/3 and 2, and all values greater than 2.

To test the first interval, let x = -1. Substitute this into our original inequality:

[tex]\displaystyle \begin{aligned}9(-1)^2 -15(-1) \, &?\, 6 \\ 9+15 \, &? \, 6 \\ 24&> 6 \xmark \end{aligned}[/tex]

The resulting symbol is "greater than," which is not our desired symbol.

To test the interval between -1/3 and 2, we can let x = 0:

[tex]\displaystyle \begin{aligned} 9(0)^2 - 15(0) \, &? \, 6 \\ (0) - (0) \, &? \, 6 \\ 0 &< 6\, \checkmark\end{aligned}[/tex]

The resulting symbol is indeed less than. So, the interval (-1/3, 2) is a part of our solution.

Finally, to test the third interval, let x = 3. Then:

[tex]\displaystyle \begin{aligned} 9(3)^2 - 15(3) \, &? \, 6 \\ (81) - (45) \, &? \, 6 \\ 36 &> 6\end{aligned}[/tex]

Again, this is not our desired symbol.

In conclusion, our only solution is the interval:

[tex]\displaystyle \left(-\frac{1}{3}, 2\right)[/tex]

Or as an inequality:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Answer:

Each magazine costs 3.90

Step-by-step explanation:

Take the total cost and divide by the number of magazines

46.80/12

3.90

Answer:

3.90$ per magazine is paid

Answer:

k^2-13+36

38n-378

Step-by-step explanation:

k^2-13k+36

k^2-13+36

The above expression can't be simplified further because they are not like terms.

18n+20n-378

38n-378

Hope this helped ;) ❤❤❤

Answer:

Step-by-step explanation:

The cabinet is rectangular shaped. Using the formula for calculating the surface area of a reactangular bos to solve the problem.

Surface area = 2(LW+WH+LH) where;

L is the length of the cabinet

W is the width of the cabinet

H is the height of the cabinet.

If the entire outside of the cabinet is being painted, except for the bottom, then the surface area of the painted area will be expressed as;

S = LW+2WH+2LH

Given L = 2 feet, W = 3 feet and H = 6 feet

S = 2(3)+2(3*6)+2(2*6)

S = 6+2(18)+2(12)

S = 6+36+24

S = 66 feet²

Hence the surface area of the painted part is 66ft²

Answer:

NO

Step-by-step explanation:

They are equal

83 tenths divided by 10 is 8.3

Hope this helps :-)

Answer:

15

Step-by-step explanation:

1.5*10 =15

Answer:

15.

Step-by-step explanation:

1.5 x 10 is expanded notation, so you just solve it (by multiplying) to convert it into standard notation.

Answer:

  (1, 5)

Step-by-step explanation:

The desired point is the weighted average of the end point coordinates. The weights are the reverse of the relative line segment lengths.

  P = (3A +1B)(3+1) = (3(-1, 2) +(7, 14))/4 = (-3+7, 6+14)/4 = (1, 5)

The point of interest is (1, 5).

Answer:

x = 13.28

Step-by-step explanation:

basic trig ratios: using tanФ = opp/adj.

tan(38) = x / 17

x = tan(38) * 17

x = 13.28

to get more idea of the subject, read below:

The cotangent (cot)

The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.

tan(A) = opp/adj = a/b

cot(A) =adj/opp = b/c

Answer:

[tex]\Huge \boxed{x \approx 13.28}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the problem.

[tex]\sf \displaystyle tan (\theta)=\frac{opposite}{adjacent}[/tex]

[tex]\sf \displaystyle tan (38)=\frac{x}{17}[/tex]

Multiplying both sides by 17.

[tex]\sf \displaystyle 17 \cdot tan (38)=\frac{x}{17} \cdot 17[/tex]

[tex]\sf x= 13.28185565...[/tex]

The measure of x is approximately 13.28.

[tex]\rule[225]{225}{2}[/tex]

Answer:

0.19

Step-by-step explanation:

the easiest way to solve for this is 4.75/25 (division). This is assuming I read this right and your asking the price of each individual pencil

0.19 dollars is the unit price.

As we can see that a pack of 25 pencils costs 4.75 dollars

So the cost for 1 pencil would be 4.75/25

=0.19

A group of friends or a group of something

An example of to pack is putting collectibles in a box to be stored away. An example of to pack is putting your child's lunch in a lunch box for them to take to school.

An example of to pack is placing what you'll need for a weekend trip in a piece of luggage.

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