Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost

Answer:

The perimeter of the new TV is approximately  95.32 inches

Step-by-step explanation:

The diagonal dimension of the original TV = 32 inches

The perimeter of the original TV = 87.16 inches

The diagonal dimension of the new TV = 70 inches

The perimeter of the new TV = 87.16 inches

For the original TV, we have;

Let w be the width of the original TV and l be the length of the original TV, we have;

2·w + 2·l = 87.16

√(w² + l²) = 32

Therefore, we have;

32² = w² + l²

w = (87.16 - 2·l)/2

w = 43.58 - l

32² = l² + (43.58 - l)²

l² + (43.58 - l)² - 32² = 0

l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0

2·l² - 87.16·l + 875.2164 = 0

By the quadratic formula, we have;

l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)

Therefore, l = 27.89 inches or l = 15.69

Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69

or w = (87.16 - 2× 15.69)/2 = 27.89

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

15.69/27.89

w₂/l₂ for the new TV = 15.69/27.89

∴ w₂ = l₂ × 15.69/27.89

w₂² + l₂² = 70²

∴ (l₂ × 15.69/27.89)² + l₂² = 70²

l₂² × (15.69/27.89)² + l₂² = 70²

l₂²((15.69/27.89)² + 1) = 70²

l₂² = 70²/((15.69/27.89)² + 1) = 3722.04

l₂ = √(3722.04) ≈ 61.0

w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32

Therefore;

The perimeter of the new TV = 34.32 + 61 = 95.32 inches.

In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:

The perimeter of the new TV is approximately  95.32 inches

So the data for this exercise is from:

Let w be the width of the original TV and l be the length of the original TV, we have;

[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]

Therefore, we have:

[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]

By the quadratic formula, we have;

[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]

Therefore:

[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]

[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]  

The perimeter of the new TV :

[tex]P = 34.32 + 61 = 95.32[/tex]

See more about perimeter at brainly.com/question/6465134

Answer:

Okay...I'm not entirely sure but I kinda am. I think its g(x) = 10x - 6

Step-by-step explanation:

Answer:

5q+74

Step-by-step explanation:

84-94 first which equals -10

then add that by 84 which equals 74

lastly just bring the 5q and 74 together making your expression

Answer:

The answer is A only i. (0)

Answer:

D

Step-by-step explanation:

Given

x(x + 3)(x - 1)(2x + 1) = 0

Equate each factor to zero and solve for x

x = 0

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

Thus

x = 0, x = - 3, x = 1, x = - [tex]\frac{1}{2}[/tex] are the roots

Hence

111 x = - 1 and iv x = [tex]\frac{1}{2}[/tex] are NOT roots → D

Answer:

2

Step-by-step explanation:

If you use rise over run, you should get to. From one point to the other, the rise is 2 and the run to the right is 1. So, you do 2 divided by 1, which is 2. So, the slope would be 2.

Answer: 742.5

Step-by-step explanation: 45% off of 1350= 742.5

Answer:

$607.50

Step-by-step explanation:

if you take 1350.00and multiply by 45% you will get $607.50

Answer: it’s A

Step-by-step explanation: I got it right, hope it helps ✨

The value of the expression  [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]

The expression is as follows:

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]

using law of indices

Hence,

when a = 5, k = -2

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]

Then,

[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]

[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]

[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]

[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]

Therefore, the value of the expression is 25 / 9

learn more on expression here:https://brainly.com/question/12879207

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Step-by-step explanation:

y=0

7x-3*0=42

7x=42

x=42/7=6

x=0

7*0-3*y=42

-3y=42

y=-42/3=-14

Answer:

y=-14, x= 6

Step-by-step explanation:

Answer:

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) The limits of the combinations of fruits that are opened to her, derived using the Chart function on Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

Step-by-step explanation:

The price per Melon = 50c = $0.5

The price per orange = 25c = $0.25

The amount she has to spend = $2

The number of melons she must buy ≤ 2

The number of oranges she must buy ≥ 4

The total number of fruits she should ≥ 6

Let x be the number of melons

Let y be the number of oranges

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) Please find attached the required graph of the combination of fruits the girl buys created with Microsoft Excel

The combinations of the vertices of the feasible combinations that are opened to her, obtained from the creation of the combined graph, using Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

Answer:

A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.

Step-by-step explanation:

A) y intercept is (0,3)

C) Axis of symmetry is x = -1

D) Vertex is (-1, 4)

So basically everything but choice B is true.

========================================

Explanation:

Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.

-------------------

To check choices B through D, let's convert the equation into vertex form.

y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where

a = -1

b = -2

c = 3

The vertex is located at (h,k) such that h = -b/(2a)

Plug the values of 'a' and 'b' into the equation below

h = -b/(2a)

h = -(-2)/(2*(-1))

h = 2/(-2)

h = -1

The x coordinate of the vertex is x = -1

Then use this to find the y coordinate of the vertex

y = -1x^2 - 2x + 3

y = -1(-1)^2 - 2(-1) + 3

y = 4

The y coordinate of the vertex is 4, meaning k = 4

The vertex overall is (h,k) = (-1, 4)

This shows choice D is true, meaning choice B has to be false.

Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.

Answer:

Its d i took the class

Step-by-step explanation:

Answer:

Each glass of milk is 9 carbs.

Each snack bar is 19.7 carbs.

Step-by-step explanation:

1. I know that 2 glasses of milk with 3 snack bars is 78 carbs.

The next part of the sentence has two times the amount of milk with the same amount of snack bars for 96 carbs.

Now, I will find the difference in the amount of carbs.

96 - 78 = 18 carbs.

So two glasses of milk = 18 carbs.

18 ÷ 2 = 9 carbs

So, each glass of milk is 9 carbs.

2. Since we know this, we can subtract the amount of carbs from the glasses of milk from the total amount of carbs.

78 - 19 = 59

In the first scenario, there are 59 carbs per 3 snack bars.

To find the amount of each snack bar, divide 59 by 3.

59 ÷ 3 = 19.7 when rounded to the nearest tenth.

Therefore, each snack bar is 19.7 carbs.

Answer:

glass of milk = 9 carbohydrates

snack bars = 20 carbohydrates

Step-by-step explanation:

Let s be snack bars and g be the glasses of milk.

3s + 2g = 78

3s + 4g = 96

-1(3s + 2g) = -1(78)

- 3s - 2g = - 78

- 3s - 2g = - 78

3s + 4g = 96

2g = 18

g = 18/2

g = 9

3s + 2g = 78

3s + 2(9) = 78

3s + 18 = 78

3s = 78 - 18

3s = 60

3s/3 = 60/3

s = 20

Check: g = 9; s = 20

3s + 2g = 78

3s + 4g = 96

3(20) + 2(9) = 78

60 + 18 = 78

78 = 78

3(20) + 4(9) = 96

60 + 36 = 96

96 = 96

So, the solution is g = 9; s = 20

Answer:

1) Step 3: S = $136.49 - $3.0625 × 1/4

2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4

Step-by-step explanation:

1) From the given information, we have;

The amount amount Maria earns as a pet sitter = $32.75

The number of weeks Maria worked as a pet sitter = 2 weeks

The amount Mariah previously saved = $70.99

The amount Maria spent = $12.25

The amount Mariah put in her savings account = 1/4 of the remaining (balance) money

Therefore, we have;

The amount placed in Mariah's savings account, S, is given as follows;

Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4

Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4

Step 3: S = [($136.49) - $12.25] × 1/4

Step 4: S = $124.24 × 1/4

Step 5: S = $31.06

The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;

Step 3: S = $136.49 - $3.0625 × 1/4

2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.

Answer:

The drift angle is approximately 7.65° towards the East from the plane's heading

Step-by-step explanation:

The speed of the plane = 350 mph

The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction

The speed of the wind = 40 mph

The direction of the wind = S 70° E = 20° clockwise from the eastern direction

The component velocities of the plane are;

[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j

[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j

The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j

The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°

Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East

Answer: A. 5.89

Step-by-step explanation:

edge2020

Answer:

Do you need the result of the end?

Step-by-step explanation:

5*3=15

15-3=12

Answer:

The square root of 39 is approximately 6.245 so it lies between 6 and 7

Answer:

[tex]\sqrt{39}[/tex] is located between 6 and 7

Step-by-step explanation:

the square root of 39 is about 6.245. This number is located between the whole numbers 6 and 7.

6 x 6 = 38

39 is in the between

7 x 7 = 49

Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

Answer:

The value of [tex]gf\left(-2\right)[/tex] will be:

Step-by-step explanation:

Given the functions

[tex]f(n) = n^2 - 4n + 3[/tex]

[tex]g\left(n\right)\:=\:2n\:-\:1[/tex]

[tex]f\left(-2\right)\:=\:\left(-2\right)^2\:-\:4\left(-2\right)\:+\:3[/tex]

           [tex]=\left(-2\right)^2+4\cdot \:2+3[/tex]

           [tex]=2^2+4\cdot \:2+3[/tex]

            [tex]=2^2+8+3[/tex]

            [tex]=4+11[/tex]

            [tex]=15[/tex]

so

[tex]gf\left(-2\right)=g\left(15\right)[/tex]

             [tex]=2n-1=2\left(15\right)-1=30-1=29[/tex]

Therefore,

Answer:

I think the answer would be A

Answer:

A

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

Move all terms that don't contain x to the right and solve using the elimination process.

Answer:

nile blue should be the correct answer

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

to prove congruency of two triangles, you need two congruent sides and one congruent angle

in this case we are given exactly that, 2 sides and one angle that is congruent

we would also need to make sure that the given sides and angles are actually congruent, and not mismatched

we can do this by looking at the positions of the letters in each congruency statement

for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched

if you do this with every statement that you are give, you can see that the triangles can be proven by SAS

Answer:

you can look up these online it will give u the diagram and u can put it in on calculators I used to do that

A ≈ 452.39

Hope you get a good grade

Answer:

Step-by-step explanation:

x is positive and y is negative

Answer:

(x,-y)

Step-by-step explanation: