Given the following system of equations: 2x + 3y = 12
2x - 2y = 2

What is the value of x + y? ​

*see attachement for diagram

Answer:

Sal would pay $93.53 to tile his entryway.

Step-by-step explanation:

Given:

1 unit = 1 foot

Tile cost = $2.15 per square foot

To find how much will lay to tile the entry way represented on the grid in the image below, we have to find the area of the entryway he wants to tile.

The entry way can be decomposed into a trapezoid and a parallelogram. The upper shape form the middle is a trapezoid while the down part from the middle is a parallelogram.

✔️Area of the trapezoid = ½(a + b)*h

Where,

a = 7 ft

b = 4 ft

h = 5 ft

Area of the trapezoid = ½(7 + 4)*5

= ½(11)*5

= 27.5 ft²

✔️Area of the parallelogram = b*h

b = 4 ft

h = 4ft

Area of the parallelogram = 4*4 = 16 ft²

✔️Total area of the entryway to be tiled = 27.5 + 16 = 43.5 ft²

✅Cost to tile 1 ft² = $2.15

Therefore, cost to tile 43.5 ft² = 2.15*43.5 = 93.525 ≈ $93.53

✅Sal would pay $93.53 to tile his entryway.

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think it’s -5

Anse

draw the line down the equal sign

Step-by-step explanation:

Answer:

Step-by-step explanation:

add 9 to both and then cancel out both 9s and add 3 and 9 together

Answer:

m = 1

Step-by-step explanation:

-9 + 10m = -5 + 6

-9 + 10m = 1

10m = 1 + 9

10m = 10

m = 1

Answer:

ok so

Step-by-step explanation:

plug it in

since x=5

it would be 5=3×5-9

which would give us 5=6x

Subtract

x=-1

Answer:

28 degrees

Step-by-step explanation:

Answer:

14. 44.8 feet

cos48=30/x

x=30/cos48

x=44.8

15. 2352 feet

tan12=500/x

x=500/tan12

=500/0.2126

x=2352

Answer:

70˚

Step-by-step explanation:

Answer:

a₃₀ = 273

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 17 and d = a₂ - a₁ = - 7 - (- 17) = - 7 + 17 = 10 , then

a₃₀ = - 17 + (29 × 10) = - 17 + 290 = 273

9514 1404 393

Answer:

  r = 0

  r = -7

Step-by-step explanation:

There is no x in the equation, hence there are no x-intercepts.

__

If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.

The factors are r and (r+7).

The factor r is zero when ...

  r = 0

The factor (r+7) is zero when ...

  r +7 = 0   ⇒   r = -7

The "x-intercepts" are r=0 and r=-7.

Answer:

G

Step-by-step explanation:

Answer:

it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285

Answer:

X=3

y=6

Step-by-step explanation:

[tex]tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3[/tex]

-----------

[tex]sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6[/tex]

hope it helps...

have a great day!!

Answer:

8 because I just guess 8

Step-by-step explanation:

because I that's all you need to know

Answer:

The geometric sequence given is:

3, 9, and 27

When provided with a geometric sequence we must first calculate the common ratio

r is obtained by dividing a term by its preceding term.

1) 9

---- = 3

3

2) 27

---- = 3

9

for the sequence

The 8th term can be obtained through formula

n-1 (8 - 1)

T = ar = 3 × 3

n

7

= 3 × 3

= 3 × 2187 = 6561

[tex] \huge \colorbox{yellow}{Question}[/tex]

[tex]2x + y = 12[/tex]

[tex] \huge \colorbox{yellow}{Answer}[/tex]

[tex]x = y - 3 \: (equation \: 1)[/tex]

[tex]2x + y = 12 \: (equation \: 2)[/tex]

Substituting the value of x in

( equation 2)

[tex]2x + y = 12[/tex]

[tex]2(y - 3) + y = 12[/tex]

[tex]2y - 6 + y = 12[/tex]

[tex]2y + y = 12 + 6[/tex]

[tex]3y = 18[/tex]

[tex]y = 18 \div 3[/tex]

[tex]y = 6[/tex]

Now we get y = 6

Substituting the value of y in

( equation 1 )

[tex]x = y - 3[/tex]

[tex]x = 6 - 3[/tex]

[tex]x = 3[/tex]

Now we get x = 3

[tex] \huge \mathsf\red{Final \: Answer}[/tex]

Answer:

it would be 20% off

Step-by-step explanation:

Answer:

1 3/10 < 1.6 < 1 5/8

Step-by-step explanation:

All you need to do is because all the mixed numbers (even though one of them has a decimal, which could be converted to 1 3/5) have the same whole number, just put the fractional parts of the whole number from smallest to largest.

Answer:

it's correct

Step-by-step explanation:

Answer:

It depends on the size of the

Step-by-step explanation:

Like the width ,length and all that

give me the size of the pool and will assist

Answer:

3. 74

Step-by-step explanation:

The pythagorean theorem states that A^2 + B^2 = C^2 (with c being the hypotenuse). So to figure it out we can substitute into the equation.

5^2 = 25

7^2 = 49

25 + 49 = 74

So it would be the square root of 79. I hope this helps! :)

The length of the hypotenuse side of a triangle is √74. Therefore, the correct answer is option 3.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a right triangle has legs that are 5 cm and 7 cm long.

Let the length of the hypotenuse side be x.

Now, x²=5²+7²

x²=25+49

x²=74

x=√74 units

Therefore, option 3 is the correct answer.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ2

3 different sizes.

3 different colors.

Total outcomes: number of sizes x number of colors.

3 x 3 = 9

There are 9 total outcomes.

Answer:

9

Step-by-step explanation:

The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event: (M)(N).

Answer:

A = 12 sq in

Step-by-step explanation:

A = bh/2

A = 6(4)/2

A = 12

Answer:

Graph the point (-2, 4) and then use rise over run (Up 2 and right 5)

Step-by-step explanation:

y - y1 = m(x - x1)

y - 4 = 2/5(x + 2)

y - 4 = 2/5x + 4/5

y = 2/5x + 24/5