A laptop computer is normally $1300 but is discounted to $988. What percent of the original price does Charles pay?

Hi! So what you will need to know is pythagorean theorm.

What the theorm basically says is a^2 + b^2 = c^2.

-- The (a,b,c) are referring to the sides of the triangles (3 letters for 3 sides).

Take note that "c" is always the side opposite of the right angle.

The other known side could be "a" or "b"

Taking a look at problem 9, identify the "c" value. The "c" value would be 35.

Then indentify the value of "b" or "a". "a" would = 20.

Plug it into the equation:

20^2 + b^2 = 35^2

400 + b^2 = 1225

solve for b.

1. subtract 400 from both sides.

b^2 = 825

b = [tex]\sqrt{825}[/tex]

you could solve for the square root but it would give a decimal numbers but I'm not sure what the teacher is looking for.

Answer:

97.2m/s

Step-by-step explanation:

1 km = 1,000 m

1 h = 3,600s

so

350km/h = 350*1000/3600

= 97.222 m/s

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Answer:

x=3

Step-by-step explanation:

it would go over the point 3,7 on the graph with a positive slope

The given inequality is solved to obtain as x ≥ 3.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality can be solved as follows,

4x - 5 ≥ 7

Subtract 7 from both sides to obtain,

4x - 5 - 7 ≥ 0

=> 4x - 12 ≥ 0

=> 4x ≥ 12

=> x ≥ 3

The graph for the given inequality is shown as below,    

Hence, the solution for the given inequality is x ≥ 3.

To know more about linear inequality click on,

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Answer:

a=12 will be answered

Step-by-step explanation:

a=side

a=12

Answer:

12

Step-by-step explanation:

you have to divide 3 by 36 to get 12

Answer:C

Step-by-step explanation:

Answer:

C. 3, 2, 0, -1, -3

Step-by-step explanation:

The more negative a number is, the lesser it is.

Count backwards: 4, 3, 2, 1, 0, -1, -2, -3, -4, ...

I hope this helped!

Answer:

24 ft

Step-by-step explanation:

Answer:

-12x + -4y = 8 would be the full equation so -12x goes in the box

Step-by-step explanation:

I think

(-4)(3x) = -12x

..........

Answer:

if i am correct the answer is A

Step-by-step explanation:

The quotient of 3 and -30 is a rational number. The correct answer would be an option (B).

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

The quotient of 3 and -30 is:

3 ÷ (-30) = -0.1

Therefore, the quotient is a rational number. Option B is correct.

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In this case, -0.1 can be expressed as the ratio of the integer -1 and the integer 10, where the denominator 10 is not zero.

Note that the quotient is negative because we are dividing a positive number (3) by a negative number (-30).

Learn more about the quotient here:

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Answer:

(-1,2)

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Answer:

x = 59º

y = 40º

z = 59º

Step-by-step explanation:

x= 180 - 121 = 59º

59 + 40 + z = 180

       99 + z = 180

        z= 81º

y = 40º

x = 180 - (81 + 40)

x = 59

Answer:

The path of a toy rocket is defined by the relation y=-3x^2+11x+4, where x is the horizontal distance, in meters, traveled and y is the height, in metres, above the ground.

Determine the zeros of the relation.

-3x^2 + 11x + 4 = 0

---

3x^2 - 11x -4 = 0

Factor:

3x^2 - 12x + x - 4 = 0

---

3x(x-4) + x-4 = 0

---

(x-4)(3x+1) = 0

---

x = 4 or x = -1/3

============================

f(x) = -3x^2+11x+4

How far has the rocket traveled horizontally when it lands on the ground?

4 ft.

==================

What is the maximum height of the rocket above the ground, to the nearest hundredth of a meter?

---

max occurs when x = -b/2a = -11/(2*-3) = 11/6

height = f(11/6) = 14.083 ft

Answer:

(x-5)(x-5)

Step-by-step explanation:

x^2-10x+25=0

(x-5)(x-5)

since:

-5-5=-10

and

-5×-5=25

hope this makes sense :)

Answer:

x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]

Step-by-step explanation:

7 = [tex]x\sqrt{3}[/tex]

x = [tex]\frac{7}{\sqrt{3}}[/tex]

multiply numerator and denominator by [tex]\sqrt{3}[/tex]

x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]

Answer:

Detailed answer in explanation.

Step-by-step explanation:

When you substitute x as 0 you'll get the y-intercept and when you do the same for y you'll get the x-intercept.

[tex]y=\frac{1}{4} x-3[/tex]

x-intercept(s): (12,0)

y-intercept(s): (0,−3)

[tex]y=-\frac{3}{2} x+4[/tex]

x-intercept(s): (8/3,0)

y-intercept(s): (0,4)

Now that we got these values you can plot them into the graph and start graphing the two lines. The lines will intersect at (4,-2) as shown in the graph attached.

Answer:

28% = 7/25 and 158% = 79/50

Step-by-step explanation:

To convert a percent into a fraction, you have to put the value of the percent over 100.

For 28%: 28/100

28 and 100 are both divisible by 4, so the fraction reduces to 7/25.

For 158%: 158/100

158 and 100 are both divisible by 2, so the fraction reduces to 79/50.  If you teacher doesn't want you do use improper fractions, then 79/50 can further be reduced and becomes [tex]1\frac{29}{50}[/tex].

Hope this helped!

Answer:

I think it is 3????

Step-by-step explanation:

I'm not sure but 36 / 12 = 3 so yea.

Hopefully this is right!

Answer:

what is you belling? yesterday y monday

Answer:

peeeeeepppppssssss

Step-by-step explanation:

wussup

Answer:

45.

A=a+b/2  

2/h=7+11/2  

2·5=45

Answer:

y = 95° (being corresponding angle)

it is very easy.

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Answer:

The value of y is 110 degrees

Step-by-step explanation:

-we know that the Angle sum property of a quadrilateral is 360 degrees.

- so we can find the 4th angle

- and find y through the linear pair method.

The fourth angle=70 degrees

And y=180-70=110(Linear pair)

Answer:

(-4, -8)

Step-by-step explanation:

x - 5y = 36; 2x + y = -16

first, rearrange the first equation by adding 5y to both sides to isolate x

x = 5y + 36

then plug that in for x in the second equation and solve for y:

2(5y +36) + y = -16               distribute 2 to (5y + 36)

10y + 72 + y = -16                 combine like terms by adding 10y and y

11y + 72 = -16                        subtract 72 from both sides

11y = -88                                divide both sides by 11

y = -8

next, plug y in and solve for x

x - 5(-8) = 36

x + 40 = 36                          subtract 40 from both sides

x = -4

finally, check the solution by plugging x and y into both equations to see if they equal the expected value

(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓

2(-4) + (-8) = -8 -8 = -16 = -16 ✓

9514 1404 393

Answer:

Step-by-step explanation:

For this to have infinitely many solutions, the left side and right side must simplify to the same expression. The left side is already simplified, so we need to find the right numbers for the right side.

Coefficient of x:

  7x = __x + 3x

  4x = __x . . . . . . subtract 3x; next divide by x

  4 = __ . . . . . the required x-coefficient is 4

Constant term:

  -8 = 8 -__

  -16 = -__ . . . . . subtract 8

  16 = __ . . . . . . multiply by -1

__

The numbers that go in the boxes are 4 and 16.

Answer:

2460

Step-by-step explanation:

Hope this helps :)

Answer:

the awnser is 2460 have a nice day

Step-by-step explanation:

Answer:

Mrs.Santos is 29.5 and Morgan is 14.5

Step-by-step explanation:

x - 15 + x = 44 where x is Mrs.Santos age

2x - 15 = 44

2x = 59

x = 59/2 = 29.5

Answer:

area : 63.9

b : 14.2

write equation of area of a triangle

Step-by-step explanation:

area:. 1/2 × B x H

solve for H : H= _2x_area_

B

Substitude values : _H = _2×63.9___

14.2.

Evaluate : H = 9