Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned} t− 5 3 ​ t− 5 3 ​ + 5 3 ​ t ​ = 5 4 ​ = 5 4 ​ + 5 3 ​ =1 ​ Step 1 Step 2 ​ Find Michelle's mistake. Choose 1 answer: Choose 1 answer:

The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.

To find the height of the incline, we can use trigonometry, specifically the sine function.

Let's consider the triangle formed by the incline track, where:

The angle of elevation (angle between the incline track and the ground) is 30 degrees.

The length of the incline track (base of the triangle) is about 800 feet.

We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).

Using the sine function, we have:

[tex]sin(angle) = opposite\ side / hypotenuse[/tex]

In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).

So, the equation becomes:

[tex]sin(30^o) = h / 800[/tex]

h = 800 * 0.5

h = 400 feet

Therefore, the height of the incline is approximately 400 feet.

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Answer:

A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180

Step-by-step explanation:

Total what she made.

5.25 + 4.40 = 9.65

Total what she spent:

3.75 + 2.25 = 6.00

Subra to the amount spent from the amount earned:

9.65 -6.00 = 3.65

She has $3.65 left

Answer:

1:5

Step-by-step explanation:

5x² = 25x²

Divide both sides by 5x²

5x²/5x² = 25x²/5x²

1:5

The answer is 75,300,000 hope this helps.

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

See the attached picture:

Answer:

y = -2 +sqrt(7)

y = -2  - sqrt(7)

Step-by-step explanation:

y^2 +4y +4 = 7

Factor, recognizing that this is the sum of squares

a^2 +2ab+b^2 = (a+b)^2

(y+2) ^2 = 7

Take the square root of each side

sqrt((y+2) ^2) =± sqrt(7)

y+2 = ± sqrt(7)

Subtract 2 from each side

y+2-2 = -2  ± sqrt(7)

y = -2  ± sqrt(7)

Answer:

C)

Step-by-step explanation:

-2+sqrt(7) ≈ 0.649

-2-sqrt(7) ≈ -4.646

each are x-intercepts

Answer:

3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

It is 34

First you have to order all of the number from least to greatest:

18 24 25 32 34 36 43 46 50

Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.

Answer:

1,300.62

Step-by-step explanation:

The formula for a cylinder is A= 2 pi r h +2 pi r^2

Answer:

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70 miles per hour 

Step-by-step explanation:

Let

speed of train B = a

speed of train A = a + 20

Recall

speed = distance/time

The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.

Time = distance/speed

270/a + 20 = 210/a

cross multiply

270a = 210(a + 20)

270a = 210a + 4200

270a - 210a = 4200

60a = 4200

divide both sides by 60

a = 4200/60

a = 70

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70  miles per hour

Answer:

55°

Step-by-step explanation:

Using cosine law

67² = 74² + 14² - 2(74)(14)cos(L)

cos(L) = 169/396

L =55.18378419

The measure of angle L to the nearest degree is 55°.

Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,

a² = b² + c² - 2bc cos(A)

Given, for a triangle JKL,

j = 74 inches, k = 14 inches and l = 67 inches.

We can use law of cosines to find the measure of angle L.

Using the law of cosines,

l² = j² + k² - 2jk cos(L)

67² = 74² + 14² - (2×74×14) cos(L)

4489 = 5476 + 196 - 2072 cos(L)

4489 = 5672 - 2072 cos(L)

-1183 = - 2072 cos(L)

cos (L) = 0.5709

L = 55.18° ≈ 55°

Hence the measure of angle L is 55°.

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Answer:

2

Step-by-step explanation:

Slope is often called rise/run.

This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.  

Compare the two shown points.  From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3.  This is simplified to 2.

Answer:

C

Step-by-step explanation:

Answer:

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = 0.58 = 58%

Step-by-step explanation:

Step ( i ) :-    

Given the two dice are thrown ,The total number of  exhaustive cases

n(S) =  6² = 36

Let 'E₁' be the event of getting the sum is odd on two dice

E₁ = { (1,2)(1,4),(1,6),(2,1),(2,3),(2,5),(3,2)(3,4),(3,6),(4,1)(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5)}

n(E₁) = 18

Let 'E₂' be the event of getting the sum is multiple of 5 on two dice

E₂ = { (1,4),(2,3), (3,2),(4,1),(4,6),(5,5),(6,4)}  

n(E₂) = 7  

n(E₁∩E₂) = {(1,4),(2,3),(3,2),(4,1)} = 4

Step(ii):-

The probability that the event of getting the sum is odd on two dice

[tex]P(E_{1}) = \frac{n(E)}{n(S)} = \frac{18}{36}[/tex]

The probability that the event of getting the sum is multiple of '5' on two dice

[tex]P(E_{2}) = \frac{n(E_{2} )}{n(S)} = \frac{7}{36}[/tex]

The probability that the event of getting the sum is odd and multiple of '5' on two dice

[tex]P(E_{1} n E_{2}) = \frac{n(E_{1} n E_{2} )}{n(S)} = \frac{4}{36}[/tex]

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = P(E₁) + p(E₂) - P(E₁ ∩ E₂)

              =    [tex]\frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]

              [tex]\frac{18+7}{36} - \frac{4}{36} = \frac{25-4}{36} = \frac{21}{36}[/tex]

P(E₁∪E₂) = 0.58 = 58%

Final answer:-

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = 0.58 = 58%

The probability that the sum is odd or a multiple of 5 is 56 %.

When two dice are rolled, then

Total number of outcomes is [tex]=6^{2}=36[/tex]

Outcomes for  the sum is odd or a multiple of 5 ,

    [tex](1,2),(2,1),(2,3),(3,2),(1,4),(4,1),(1,6),(6,1),(2,5),(5,2),(3,4)\\\\(4,3),(3,6),(6,3),(4,5),(5,4),(6,5),(5,6),(4,6),(6,4)[/tex]

Number of favourable outcomes are [tex]=20[/tex]

the probability that the sum is odd or a multiple of 5 is,

                   [tex]P(E)=\frac{20}{36} =0.56[/tex]

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Answer:

84 mm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b *h

The base is 14 and the height is 12

A = 1/2 (14*12)

A = 84 mm ^2

Area of a triangle formula: A = 1/2bh

Solve using the values given in the picture.

A = 1/2(14)(12)

A = 1/2(168)

A = 84

Therefore, the volume of the triangle is 84mm²

Best of Luck!

Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

Answer:

ya switch the the 1st one and the last one

Step-by-step explanation:

Answer:

m=2

mean is 13

Answer:

No because 21 is close to it.

Step-by-step explanation:

To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

No. it's close to 21.

Step-by-step explanation:

There's a formula for fidning out if something is an outlier or not but i forgot, pff, look it up :P

Answer:

Between 3² and 4⁴

Between 3 and 4

Step-by-step explanation:

Number 15 is between between 3² and 4⁴

While √15 = 3.8 72 is between 3 and 4.

Answer:

[tex]20943.96 ft^3[/tex]

Step-by-step explanation:

The silo is shaped as a cylinder with a hemisphere on top of it.

We need to find the volume of the shape.

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius

h = height

The volume of a hemisphere is given as:

[tex]V = \frac{2}{3} \pi r^3[/tex]

where r = radius

Therefore, the joint volume of both shapes is:

[tex]V = \pi r^2h + \frac{2}{3} \pi r^3[/tex]

The height of the silo is 60 and the diameter is 20.

This means that the radius is 10.

The cylindrical part of the silo and the hemispherical part have the same radius, 10.

The volume of the silo is:

[tex]V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3[/tex]

The volume of the silo is [tex]20943.96 ft^3[/tex]

Answer:

elon musk

Step-by-step explanation:

elon sends out random, uncalled for tweets, which mess with the stock value.

For example, when the stock was very high, he tweeted,"Tesla stock too high"

Answer: 0.92

Step-by-step explanation: cos a = side adj / hypotenuse

Cos a = 12/13 ~ 0.92307

Answer:

£2.38

Step-by-step explanation:

Write and solve an equation of ratios:

 £1.40       2.5 kg

----------- = ------------

     c          4.25 kg

Cross multiplying, we get:

(£1.40)(4.25 kg) = (2.5 kg*c), or

       (£1.40)(4.25 kg)

c = -------------------------- =  £2.38

             2.5 kg

Answer: A) 18.2 minutes

B) 4.5 minutes.

Step-by-step explanation:

A) Maxine can mow one lawn in 24 minutes, so the rate of work is:

1/24 of the lawn per minute.

Sammie can mow one lanw in 36 minutes, so the rate of work is:

1/36 of the lawn per minute.

The amount of the lawn that each has left to lawn by the minute x is:

Maxine = 1 -(1/24)*x

Sammie = 1 - (1/36)*x

we want to find the value of x such that:

2*(1 - (1/24)*x) = 1 - *(1/36)*x

which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.

2 - (1/12)*x = 1 - (1/36)*x

2 - 1 = (1/12 - 1/36)*x

1/0.055 = x = 18.2

by the minute 18.2

B) Similar to before, here the rates are:

For Maxine, R = 1/6

For Sammie, R = 1/9

The amount they have left to mow by minute x is:

Maxine = 1 - (1/6)*x

Sammie = 1 - (1/9)*x

We want to solve, similar to before.

2( 1 - (1/6)*x) = 1 - (1/9)*x

2 - (1/3)*x = 1 - (1/9)*x

2 - 1 = (1/3 - 1/9)*x

1 = (2/9)*x

1*9/2 = x = 4.5

So here the solution is 4.5 minutes.

Answer:

`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.

Explanation:

May you pls mark me as brainliest I am new to the program.

Answer: The price of a fruit bowl at the cafe is $3

Step-by-step explanation:

$3 in the price of a Fruit bowl at the cafe.

According to the given In the question,

Let,

price of a Salad = Sl

price of a fruit bowl = Fb

Fb price of a sandwich = Sd

Sl + Fb+sd=$12         ..1

2 SI + 2 Sd = $14       ..2

Sl + 3Pb Fb = $14      ..3

from equation 2

Sl = 7 - Sd

from equation 3

7 - Sd + 3Fb = 14

Sd  = 3Fb - 7

from equation 1

14- 3Fb+Fb+ 2(3Fb-7)=12

14- 2 Pb +6Fb-14=12

4Fb = 12

Fb = 3

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Answer:

105

Step-by-step explanation:

if both together cost $110

and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase

and it's 105

hope this helped:D

brainliest is appreciated if u want

Answer:

$105  r e  

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

15/25 are girls

10/25 are boys

10/25 to 15/25

2/5 : 3/5

2:3