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3 years ago

When solving the system x + 2y = 9 and x - y = 6 by substitution, what can be substituted for x in the second equation?

1 answer:

8 0

X+2y = 9 ---------eq.1
x-y =6 ----------- eq.2

x = 9 -2y (from eq. 1)

Now substitute the value of x in the second eq.2

9-2y-y =6
-3y = -3
y =1

So,
x +2 (1)= 9
x= 7

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) Write 5 39/100 as a decimal number

Phantasy [73]

Answer:

5.39

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2 years ago

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Con has two credit cardsU and V. card U has a balance of 414.55 card V has a balance of $751.81 the minimum monthly payment on c

Stells [14]

Answer:

$11.54

Step-by-step explanation:

The computation of the greater amount on card V than card U by considering the minimum payment is shown below:

But before that first we have to compute it separately and then take a difference to reach a solution

On Credit card U

= Balance × given percentage

= $414.55 × 2.82%

= $11.69

On Credit card V

= Balance × given percentage

= $751.81 × 3.09%

= $23.23

So, the difference in amount is

= $23.23 - $11.69

= $11.54

3 0

2 years ago

Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret messa

diamong [38]

These problems are solved using the trigonometric function. Trigonometric functions provides the ratio of different sides of a right-angle triangle.

<h3>What are Trigonometric functions?</h3>

The trigonometric function refer to function that are periodic in nature and which lend insight to the relationship between angles and the sides of a triangle that is right angled.

The solutions to x in the respective problems is given as follows:

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°)

= (3√3) / x

x = (3√3) / 3

W) It is to be noted that for right-triangle that is isosceles in nature, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3

= 4√3 / 3

S) Sin(60°) = x / (10/3)

x = (5√3) / 3

Learn more about Trigonometric functions at:
brainly.com/question/1143565
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3 0

1 year ago

A square garden is surrounded by a walkway of width X. If the area of the garden is 484 ft2 and the area covered by both the gar

slavikrds [6]

The width of the walkway is 3 feet, If the area of the garden is 484 $feet^{2}$ and the area covered by both the garden and the walkway (the entire square) is 784 $feet^{2}$ .

Step-by-step explanation:

The given is,

Area of the garden is 484 $feet^{2}$

Area covered by both the garden and the walkway (the entire square) is 784 $feet^{2}$ .

Let, x - Width of the walkway

Step:1

Formula to calculate area of square is,

$A= a^{2}$ ...........................(1)

Where, r - Radius of square

Step:2

For garden,

A = 484 $feet^{2}$

Equation (1) becomes,

$484=a^{2}$

Take square root on both sides,

$a=\sqrt{484}$

a = 22 feet

For garden and the walkway (the entire square),

A = 784 $feet^{2}$

Equation (1) becomes,

$784=a^{2}$

Take square root on both sides,

$a=\sqrt{784}$

a = 28 feet

Step:3

Ref attachment,

Side of garden and the walkway =

Side of garden + 2 (width of the walkaway)....(1)

28 = 22 + 2 ( x )

2 ( x ) = 28 - 22

= 6

$x = \frac{6}{2}$

Width, x = 3 feet

Result:

The width of the walkway is 3 feet, If the area of the garden is 484 $feet^{2}$ and the area covered by both the garden and the walkway (the entire square) is 784 $feet^{2}$ .

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3 years ago

The perimeter of parallelogram ABCD is 46 inches. What is DA?

nadezda [96]

First we have 8x -5=3x+10, so x =3.
Hence AB =CD =19.
So 38+DA +BC =46, but DA =BC,
38+2DA=46, then 2DA =8,
DA =4.

4 0

3 years ago

Read 2 more answers