a diagonal walkway cuts through a park bordered by two parallel streets. the parks department plans to add an additional walkway as indicated by the dashed line segment in the figure​

Answer:

a. (A + S = 200), (8S + 10A = 1760)

b. The school play sold 80 adult tickets, and 120 student tickets.

c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Step-by-step explanation:

a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).

b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be

(8S + 10(200 - S) = 1760)

Then you solve for S

(8S + 2000 - 10S = 1760)

-2S = -240

S = 120

Substitute for S in the first system of equations

A = 200 - 120

A = 80

or the second

8(120) + 10A = 1760

960 + 10A = 1760

10A = 800

A = 80

This means that the school play sold 80 adult tickets, and 120 student tickets.

c. (8S + 15A = X)

8(120) + 15(80) = X

X = 2160

2160 - 1760 = 400

400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Answer: cage  I

Step-by-step explanation:

Given

43 gm of copper and 7 gram of other metal

Another cage has 83 gram of copper and 17 gm of other metals

Here, the percentage of copper is

For the first case

[tex]\Rightarrow \dfrac{43}{43+7}\times 100=86\%[/tex]

For the second case

[tex]\Rightarrow \dfrac{83}{83+17}\times 100=83\%[/tex]

So, the cage-I has more percentage of copper

Answer:

1. $624.86

2. 1.99x

3. 2.6 pounds

Step-by-step explanation:

1. Multiply 1.99 by 314 to get 624.86

2. With the equation 1.99x, you can substitute any variable into it and it will hold true.

3. Divide 5.17 by 1.99, the price, and you get 2.597 pounds, which rounds to 2.6

Let length, width, and height be s.

Then diagonal of any face would be √( s² + s² ) = √( 2s² )

And we know that it measures  √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.

Now we have to solve √( 500 ) = √( 2s² )

Square both sides:

500 = 2s²

Divide both sides by 2:

250 = s²

Take the square root of both sides:

√(250) = s ≈ 15.8113883

Rounding to nearest tenth:

s ≈ 15.8

Final answer: 15.8

Hope this helps.

Answer:

The person above me is correct

Step-by-step explanation:

Answer:

9x

Step-by-step explanation:

x + 3x + 5x = 4x + 5x = 9x

Answer:1  0.05806644 2 64.3818067 m2 3 10.8696557 m2 4  80.2682266 m2 0.13935456 m2 and 15.7935168 m2

Step-by-step explanation:

Answer:

the answer is 144

Step-by-step explanation:

we find area so we multiple all numbers

Answer:

28m

Step-by-step explanation:

split the shape in two to find the shapes you know the area of.

rectangles

8×2 = 16

6×2 = 12

A = 28m

Answer: 78.5

Step-by-step explanation:

Formula: A=pi*r^2   or   Area = 3.14*radius squared (by two)

A = 3.14*10^2

A = 3.14*100

A = 314

Divide it by 4, because it's a quarter of the circle: A = 314/4

A = 78.5

Answer: 78.5

Your welcome :)

Answer:  244.92 m

Step-by-step explanation:

The area of a circle is pir^2. First you will need to find the area of the concrete and subtract the area of the flower bed from that amount. The concrete is 3 feet wide so you will add that to 11.5 (half of the flower bed diameter) to find the radius. 14.5^2 pi is the entirety of the area. Then subtract 11.5^2 pi for the area of the concrete.

Answer:

Im not so sure but I think the "b" point there is a right angle.

Step-by-step explanation:

I Hope that answered your question, If it did, please but me a brainliest because, that would be my first ever one!

Thank you!

-Brainly User

Answer:

See the explanation below

Step-by-step explanation:

The independent variable is the time of the visit

The dependent variable is the total service charge, this depends on the amount of time spent working in the house

Answer:a = 9 r^2

Step-by-step explanation:

We need to make a subject of the formula given r = square root a / 3

Given r = √a / 3 -------------1

Now we can find a.

Squaring the given equation 1 we get

So r^2 = (√a / 3)^2

So r^2 = a / 9

Answer:

The picture is black

Step-by-step explanation:

Dbddndnddnskskskssndjd

Answer:

A = 65, B = 75

Step-by-step explanation:

x + x + 10 + 40 = 180

2x + 50 = 180

2x= 130

x = 65

Answer:

∠A = 65°

∠B = 75°

Step-by-step explanation:

The sum of all the angles in a triangle is 180°, so we need to add all of the angles and make them equal to 180, then solve for "x".

x + x + 10 + 40 = 180

2x + 50 = 180

2x = 130

x = 65

Now, we replace "x" with 65 to get ∠A and ∠B.

∠A = x = 65°

∠B = x + 10 = 65 + 10 = 75°

Answer:

The relationships are correct and valid

Step-by-step explanation:

The correct question is as follows;

Verify the following

i.[ -3/4]^3 = -27/64

ii. [-2/3]^6 = 64/ 729

We have the solution as follows;

i) we have;

(-3/4)^3

That means ;

-3^3 = -3^3 = -27

4^3 = 64

so;

(-3/4)^3 = -27/64

ii) (-2/3)^6

(-2)^6 = 64

3^6 = 729

Thus;

(-2/3)^6 = 64/729

Answer:

4up on 5 was missing ok madam

Answer:

32 oz for $3.00

Step-by-step explanation:

1.25/12 = 0.10416666

1.65/16 = 0.103125

3/20 = 0.15

3/32 = 0.09375

Answer:

I think 15

Step-by-step explanation:

15+15=30, so both 3 or 4 point questions have 15 problems each, hope this helped

Answer: dont get the question sry

Step-by-step explanation:

Answer:

y =-4

x = 1

Step-by-step explanation:

Add the two equations

4x - y + 6x + y = 8 + 2 add like terms

10x = 10 divide both sides by 10

x = 1  now to calculate y replace x in first equation by 1

4x - y = 8

4 - y = 8 subtract 4 from both sides

-y = 4 and y = -4

Answer:

La torre de pisa esta inclinada de modo que su pared lateral forma un triangulo rectangulo de catetos 5mtrs y60mtrs cuanto mide el otro lado de la torre !

RESOLVEMOS POR EL TEOREMA D EPITÁGORAS

Primero lado = 5 m

Segundo lado = 60 m

Lo que mide el otro lado es = x

Calculamos:

h² = a² + b²

h² = (5 m)² + (60 m)²

h² = 25 m² + 3600 m²

h² = 3625 m²

h = √3625 m²

h = 60,20 m

Rpt. El otro lado mide 60,20 m aproximadamente

Answer:

Hola. lo siento pero no hablo español

Step-by-step explanation:

Answer:

The answer to this question should be acute

Answer:

area = 277 units²

Step-by-step explanation:

area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²

Answer:

option 4= 12/13

Step-by-step explanation:

let us supooae <c is thetha

sin thitha = oppotise side/hyptotenuse

<C= AB/AC

<C=12/13

Answer:

$1630

Step-by-step explanation:

the interest one year

=$1000×3.5%

=$1000×3.5/100

=$35

the money that Miriam have after 18 years

=$1000+18($35)

=$1000+$630

=$1630

Answer:

1512 cm^3

Step-by-step explanation:

the small ones dimentions are 9 by 3 by 7

if you double that then it is 18 by 6 by 14

to figure out the volume you have to multiply all the numbers together

and you get 1512 cm^3

Answer:

y=2x+3

x=(-1)

y=-5x+6

x=1

Step-by-step explanation:

Just find x in the equation