A school has a square playground with each side
measuring 120 feet. A scale drawing of the playground uses the scale 1/2 inch equals 12 feet. What is the length of a side of the playground on
this scale drawing?

Answer:

x = 3, y = 3, z = - 2

Step-by-step explanation:

Given the 3 equations

x - y - 2z = 4 → (1)

- x + 3y - z = 8 → (2)

- 2x - y - 4z = - 1 → (3)

Add (1) and (2) term by term to eliminate x

2y - 3z = 12 → (4)

Multiply (1) by 2 and add to (3) to eliminate x

2x - 2y - 4z = 8 → (5)

Add (3) and (5) term by term to eliminate x

- 3y - 8z = 7 → (6)

Multiply (4) by 3 and (6) by 2

6y - 9z = 36 → (7)

- 6y - 16z = 14 → (8)

Add (7) and (8) term by term to eliminate y

- 25z = 50 ( divide both sides by - 25 )

z = - 2

Substitute z = - 2 into (7)

6y + 18 = 36 ( subtract 18 from both sides )

6y = 18 ( divide both sides by 6 )

y = 3

Substitute y = 3 and z = - 2 into (1)

x - 3 + 4 = 4

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Solution is x = 3, y = 3, z = - 2

Answer:

2222222211

Step-by-step explanation:

Answer:

2222222211

Step-by-step explanation:

calculator

Given :

A company currently has an advertisement that covers a bill board that is 30 ft wide by 70 ft high. The company wants to reduce the same advertisement to fit on a new billboard that is 25 ft wide by 40 ft high.

To Find :

The dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement.

Solution :

Area of original bill board :

[tex]A_i=30\times 70 = 2100\ ft^2[/tex]

Area of new bill board :

[tex]A_f=25\times 40 = 1000\ ft^2[/tex]

Since, new bill board can be completely fitted in original bill board as its length and breadth both are smaller than that.

So, the dimensions of the largest advertisement that will fix on the billboard without cropping the advertisement is equal to 1000 ft².

Hence, this is the required solution.

Answer:

[tex]-\frac{1}{27}[/tex]

Answer:

Answer:b

Step-by-step explanation:

The answer for this question would be 7

Answer:

18 dollars

Step-by-step explanation:

15-6=9

9x2 (double it because she spent half)18

Answer:

The first one is 120 and the second is 200

Step-by-step explanation:

The range value is the domain value times 40

Answer:

SAS theorem

Step-by-step explanation:

Answer: SAS theorem :-D BREH

Step-by-step explanation:

Answer:

B; SECOND GRAPH

Step-by-step explanation:

Took the test

The set of ordered pairs that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

A relation is a relationship between the input (x-values) and output (y-values), which can be displayed on a graph on a coordinate plane on the vertical axis and the horizontal axis.

From the graph given as shown in the image attached below, the set that has same coordinate points as indicated on the graph is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).

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Answer:

5 less than triple the quotient of a number x and 7 is 3(x ÷ 7) - 5

the answer would be 4x10^4

happy to help

plz mark brainliest

Answer:

it should be 15 students

Step-by-step explanation:

Answer:

-2, 6

Step-by-step explanation:

if Figure ABCDE was reflected across the line y = x to create figure A'B'C'D'E' then (6, -2)  are the coordinates of the pre-image of E'.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

It's a common type of problem in algebra, specifically the modification of algebraic equations.

ABCDE was reflected across the line y = x to create figure A'B'C'D'E'.

The coordinates of the pre-image of E' are (6, -2)

Hence, coordinates of the pre-image of E' are (6, -2)

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0-Yellow

0.25-Green

-2-Blue

/-Green

π-Purple

I wish that answers your question

Thank You

Answer:

C

Step-by-step explanation:

This might look strange, but I would begin by adding 4y to both sides.

12x = 20 + 4y          Subtract 20

12x - 20 = 4y           Divide both sides by 4

12x/4 - 20/4 = 4y/4 Combine

3x - 5 = y

Answer:

Reflection - Yes

Rotation - Yes

Translation - Yes

Step-by-step explanation:

After all 3 different transformations, the angle measures of the triangle will stay the same, at 45, 45, and 90 degrees.

This is because these 3 transformations do not change the shape of the triangle. They only change the orientation and placement of the triangle.

So, the angle measures will still be 45, 45, and 90 degrees after each transformation.

Answer:

Yes, the correct answer to this question is Yes.

Answer:

5-(n+8)

Step-by-step explanation:

y - -5 = (5/2)(x - 3)

y + 5 = (5/2)x - 15/2

y = (5/2)x - 15/2 - 5

y = (5/2)x - 15/2 - 10/2

y = (5/2)x - 25/2

Answer:

y = 5x - 9

Step-by-step explanation:

point-slope equation:

y - y1 = m(x - x1)

y + 1 = 5(x - 2)

y + 1 = 5x - 10

   - 1         - 1

y = 5x - 9

Eight multiply by 10 power 5

Step-by-step explanation:

Because it's in thousands so we right 10 and then number of zero is power

For example

400000

4 ✖ 10 power of 5

Answer:

x=20

x=-1

Step-by-step explanation:

I only understand factoring i just wrote it in a different way haha.

Hops this makes sense and helps! :)

Answer:

The answer is 20 hours

Step-by-step explanation:

This is becuase 1280 divided by 64 equals 20.  There are no unit coversions.

In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

Given that,
A car travels a distance of 1280 meters at an average speed of 64 kilometers per hour.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Time  = distance/speed
Time. t = 1.280 / 64

t = 0.02 hours

Thus, In time t = 0.02 hour the car travels a distance of 1280 meters with a speed of 64 kilometers per hour.

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Answer:

6

Step-by-step explanation:

Number of water bottles bought by Sylvia = 24

Number of water bottles sold by Sylvia = [tex]x[/tex]

Number of water bottles left with Sylvia = [tex]24-x[/tex]

Number of water bottles bought by Sam = 36

Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = [tex]3x[/tex]

Number of water bottles left with Sam = [tex]36-3x[/tex]

It is given that the number of water bottles left with Sylvia and Sam are equal.

i.e.

[tex]24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}[/tex]

So, number of water bottles sold by Sylvia = 6

Answer:

            Inequality:  2x + 2 ≤ 5•2x - 50

           Solution:    x ∈ <6.5, ∞)

Step-by-step explanation:

2x     - the smaller of consecutive even integers

2x+2    - the greater of consecutive even integers

5•2x     - five times the smaller number

5•2x-50   - fifty less than five times the smaller number

"is at most" means is less or equal

2x + 2 ≤ 5•2x - 50

2x + 2 ≤ 10x - 50

     -2          -2

    2x  ≤ 10x - 52

  -10x       -10x

  -8x  ≤  -52

 ÷(-8)     ÷(-8)

     x  ≥  6.5    

x ∈ <6.5, ∞)

Answer:

b

Step-by-step explanation:

Answer:

answer choice b

Step-by-step explanation:

hope it helps!!

Answer:

i-

Step-by-step explanation:

Answer:

Oh no! I'm sorry!

Step-by-step explanation:

Answer:

A. x=5

B. Look at image for answer

Step-by-step explanation:

No she is not correct.

Since both angles have the same measurement you set them equal to each other as so & solve for x

2x+90= x+95

x+90=95

x=5

In order to find the angle measurements you plug in 5

2(5)+90

10+90

= 100 degrees

Supplementary angles add up to 180 degrees so the angle next to the 100 degree one is 80 degrees

Answer:

1. 104

2. 70

3. 106

4. 56

5. 47

6.87

Step-by-step explanation:

Answer:

1: 104 perimeter, 532 area

2: 70 perimeter, 190 area

3: 106 perimeter, 493 area

4: 56 perimeter, 171 area

5: 48 perimeter, 93 area

6: 90 perimeter, 389 area

Step-by-step explanation:

Hope that helps

Answer:

Step-by-step explanation:

We are to choose all the equation that evaluates b to be 11. The following equations are true;

77 = 7b

To get b, we will divide both sides by 7

77/7 = 7b/7

11 = b

b = 11

This shows that the equation is correct since b = 11

Also 9 = b-2

To get b, we will add 2 to both sides of the expression

9+2 = b-2+2

11 = b

b = 11

This shows that the equation is correct since b = 11

Hence option C and D are correct

Answer:

C and D

Step-by-step explanation:

You do the opposite of the question to get answer.

Answer:

c

Step-by-step explanation:

Answer:

B.) 2 2/5

Step-by-step explanation:

If you find the answer to the question, you get the same answer as B.