Simplify the expression: 9-2X + 8 + x + 5x

Answer:

[tex]30[/tex]

Step-by-step explanation:

1. Approach

First, use the Pythagorean theorem to solve for the hypotenuse of the given right triangle. Then find the perimeter by adding up the values of all the sides. The problem then has the lengths of the legs doubled. When the legs undergo a scaling factor, the hypotenuse and perimeter undergo the same scaling factor. Here, the legs are doubled, hence the hypotenuse and the perimeter are also doubled. Finally, subtract the new perimeter from the original perimeter.

2. Find the original hypotenuse

Remember the Pythagorean theorem states;

[tex]x^{2}+y^{2}=z^{2}[/tex]

Where (a) and (y) are the legs (or the sides adjacent to the right angle), and (z) is the hypotenuse or the side opposite to the right angle.

Substitute in the given value and solve,

[tex](5)^{2}+(12)^{2}=z^{2}\\\\25 + 144 = z^{2}\\\\169=z^{2}\\\\\sqrt{169}=z\\\\13=z[/tex]

3.Find the perimeter of the original triangle

To find the perimeter of a polygon, one must add up the lengths of all the sides.

[tex]5 + 12 + 13\\\\= 30[/tex]

4. Find the new perimeter

In a right triangle, when both legs undergo a scaling factor, the hypotenuse also has the same change, and the perimeter also undergoes the same change. In this case, the length of the legs is doubled, therefore, the hypotenuse and the perimeter are also doubled.

New hypotenuse; [tex]26[/tex]

New perimeter; [tex]60[/tex]

5. Find the difference

Now all that is left is to subtract the new perimeter from the original perimeter;

(New_perimeter) - (original_perimeter)

= [tex]60 - 30[/tex]

= [tex]30[/tex]

Answer:

4(-w+8)

Step-by-step explanation:

-4w+32

32dividedby-4

w=-8

Answer:

the answer is 45 candies in the bag this year.

Step-by-step explanation:

60×.25=15

60-15=45

its the first one

Step-by-step explanation:

because per pertains to to x

Answer: Hi

Step-by-step explanation:

The answer is b

Answer:

35 degrees

Step-by-step explanation:

Sum of angles inside a triangle is 180 degrees.

Right angle is 90 degrees.

180 = 90 + (x + 46) + (x + 66) = 2x + 202

x = -11

A = x + 46 = -11 + 46 = 35

Answer:

A = 974

Step-by-step explanation:

The formula for surface area of a rectangular prism is A=2(wl+hl+hw)

so yeah enjoy freedom for the rest of the day

Answer:

974 inches2

Step-by-step explanation:

Surface Area = 2×(11×8 + 11×21 + 8×21) = 974 inches2

Answer:

$240

Step-by-step explanation:

I = prt

I = (2,400) (0.04) (2.5)  

note: I changed 4% to a decimal and 30 months to 2.5 years

I = 96 (2.5)

I = 240   <-- The interest

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The simple interest accumulated on a principal of $ 2,400.00  at a rate of 4% per year for 2.5 years (30 months) is $240.00.

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* Last time I did interest was in 6th grade and I don't remember much. So I am very sorry if my answer is wrong *

Answer:

4 ;)

Step-by-step explanation:

78/75=1.04

Answer:

It would be A

explanation:

the reson why it is A because it is closest to 3%

your welcome

Answer:

X=4

Step-by-step explanation:

2x+3=5x+15

2x-5x=15-3

-3x=12

-3x/-3 = 12/-3

X=4

Answer:

Step-by-step explanation: The commission will be a total of $11.25.

the commission would cost $11.25

Answer:

I'm not sure sorry if I'm wrong but I think the answers would be 3,4,5

Answer:

134

Step-by-step explanation:

There's 2 blue arrows where 39 is, and the same arrows where 4x+7 are. This means that they are the same length. So, 4x+7 = 39. Perimeter means you add, so 28+28+39+39 = 134.

Answer:

80 cents i think if i did my math right

Step-by-step explanation:

80 times 5 is 400

Answer:

4,096

Step-by-step explanation:

It goes like this 4 * -4=-16, 16*4=64, -64*4=256, etc.

You use the sum of the last number but flip the sin to make it opposite like if your some was + make it a negative to get your next product. Hope that made sense!!!!

Answer:

first box - 2.10

second box - 2.14

Answer:

2.10 & 2.14

Step-by-step explanation:

its basic adding by 2 yk

Answer:

w=21/6

w=3.5

Step-by-step explanation:

I hope it's helps you

Answer: 18ft

Step-by-step explanation: I took the quiz and got 100%

The height of the tree is 8.3 ft.

To solve this problem, we have to find the angle of elevation from the student.

To do this, we have to assume or bring out a right angle triangle and solve for the.

Given that we have the distance of A to F and the point  to F

Using trigonometric ratio,

We can find the tangent of this angle

[tex]tan\theta = \frac{opposite}{adjacent} \\tan\theta = \frac{6}{5}\\ tan \theta = 1.2\\\theta = tan^-^1(1.2)\\\theta = 50.2^0[/tex]

The angle of elevation can be calculated using sum of angles in a triangle is equal to 180 degrees

[tex]180 = 90 + 50.2 + x\\x = 180- 140.2\\x = 39.8^0[/tex]

Assuming a right angle triangle from the point the student is standing, the distance from him to the tree would be

[tex]15 - 5 = 10ft[/tex]

Let's use the tangent of the angle to find the height of the tree.

[tex]tan\theta = \frac{opposite}{adjacent} \\tan 39.8 = \frac{x}{10}\\x = 10 tan39.8\\x = 8.3ft[/tex]

From the calculations above, the height of the tree is 8.3 ft.

Learn more on trigonometric ratio here;

https://brainly.com/question/10417664

Answer:

80

Step-by-step explanation:

im not sure i ever done this but 1x2=2 and 2x 40= 80

i dont know sorry im trying my bets

Answer:

39 cars/hour

Step-by-step explanation:

We are trying to find the rate of cars/hour. So we need to divide the amount of cars by the amount of hours.

273/7 = 39

The wash detailed cars at a rate of 39 cars per hour.

Answer: a

Step-by-step explanation:

Answer:

line d

Step-by-step explanation:

Answer:

1.28

Step-by-step explanation:

x = 1.28

Answer:

14

Step-by-step explanation:

[tex]147 \times 4 \div 42 = 14[/tex]

It would take 14 days  to build a similar house with 42 workers

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  the number of days required to build is inversely proportional to with the number of workers.

One house was built in 147 days by 4 workers.

So,

147 x 4 = 588

Now the days to build a similar house with 42 workers

588/ 42 = 14

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Answer:

42

Step-by-step explanation:

14(3)

Answer:

42

Step-by-step explanation:

first, substitute 3 for y in 14y. 14y means you are multiplying 14 and y, so when you plug in 3 for y, you're multiplying 14 and 3! :)

simplify by multiplying 14 · 3.

so, when y = 3, 14y = 42.

you can check the answer by solving for y in 14y = 42.

divide both sides of the equation by 14.

after dividing, you're left with y = 3. that means 14y does indeed equal 42 when y = 3! :)

i hope this helps! have a great rest of your day <3