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kiruha [24]
3 years ago
7

Please help. What do I do

Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

1. let x = a number

x^2+5

2. let x = a number

2x-(x+19)

3. let x = a number

2x=1/3x + 9

4. let x = 1st integer

x+1 = 2nd integer

x+2 = 3rd integer

(x+x+1+x+2)/4

=(3x+3)/4

5. let x=smallest integer

x+1 = 2nd integer

x+2 = 3rd integer

x+3 = largest integer

x+x+1+x+2+x+3 = 9(x+3)

= 4x+6= 9x+27

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Find the value of x.
son4ous [18]

Answer:

18.0

Step-by-step explanation:

==>Given:

Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°

==>Required:

Value of x to the nearest tenth

==>Solution:

Using the Cosine rule: c² = a² + b² - 2abcos(C)

Let c = x,

a = 16

b = 30

C = 30°

Thus,

c² = 16² + 30² - 2*16*30*cos 30°

c² = 256 + 900 - 960 * 0.8660

c² = 1,156 - 831.36

c² = 324.64

c = √324.64

c = 18.017769

x ≈ 18.0 (rounded to nearest tenth)

8 0
3 years ago
Find the value of x when 6-3x=5x-10x+4
tatuchka [14]

Answer:

x= -1

Step-by-step explanation:

6-3x=5x-10x+4

6-3x=-5x+4

-4            -4

2-3x=-5x

+3x  +3x

2=-2

2/-2=-2x/-2

-1=x

7 0
3 years ago
The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room
tangare [24]
I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. 

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
A = lw\\
600 = (x+5)(x+4)\\
600 =  x^{2} + 9x + 20


Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
600 = x^{2} + 9x + 20\\
x^{2} + 9x - 580 = 0\\
(x + 29)(x - 20) = 0\\
x + 29 = 0, \:\: x - 20 = 0\\
x = -29, x = 20

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).
8 0
3 years ago
Read 2 more answers
Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before
sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.

4 0
2 years ago
Solve for c<br><br><br> R=5(c/a-0.3)
aalyn [17]

we have

R=5(c/a-0.3)

Solve for c--------> that means that clear variable c

so

Divide by 5 both sides

R/5=(c/a-0.3)

Adds 0.3 both sides

(R/5)+0.3=(c/a)

Multiply by a both sides

a[(R/5)+0.3]=c

so

c=a[(R/5)+0.3]

therefore

<u>the answer is</u>

c=a[(R/5)+0.3]

6 0
3 years ago
Read 2 more answers
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