FIND X
SHOW ALL THE WORK

Answer:

18

Step-by-step explanation:

3 3/5 = 18/5

Step-by-step explanation:

a) First we will convert 150km/hr to m/s.

[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]

=2500m/s, which is the initial speed of the plane.

b)Final Speed of plane = Speed when it stopped.

= 0m/s.

c)Time taken to stop = 3 seconds.

d)Using the kinematic equation,

v = u + at,

where v = Final Speed = 0m/s

u = Initial Speed = 2500m/s

a = acceleration

t = time taken = 3 seconds

Substitute v, u and t to find a.

[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]

Answer:

The 3 numbers are 9, 12, and 15.

Step-by-step explanation:

I will answer in English, below the answer you can see a translation in Catalan.

This can be translated to:

The sum of the squares of three consecutive and multiple natural numbers of 3 is equal to 450. Pose a quadratic equation and calculate the three numbers.

First, a multiple of 3 can be written as:

3*n

The consecutive multiple of 3 is:

3*n + 3

The consecutive multiple of 3 is:

3*n + 3 + 3

Then the sum of their squares is:

(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2

And we know that this is equal to 450, then we need to solve the equation:

(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2 = 450

let's solve this:

9*n^2 + (9*n^2 + 2*(3*n)*3 + 9) + (9*n^2 + 2*(3*n)*6 + 36) = 450

27*n^2 + 54*n + 45 = 450

we can write this as:

27*n^2 + 54*n + 45 - 450 = 0

27*n^2 + 54*n - 405 = 0

The solutions of this equation are given by the Bhaskara's formula, and the solutions are:

[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]

we know that our numbers are naturals, then the numbers are positives, which means that we only care for the positive solution of n, which is:

n = (-54 + 216)/54 = 3

Then the 3 numbers are:

3*n = 3*3 = 9

(3*n + 3) = (3*3 + 3) = 12

(3*n + 6) = (3*3 + 6) = 15

In Catalan:

En primer lloc, es pot escriure un múltiple de 3 com:

3 * n

El múltiple consecutiu de 3 és:

3 * n + 3

El múltiple consecutiu de 3 és:

3 * n + 3 + 3

Llavors, la suma dels seus quadrats és:

(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2

I sabem que això és igual a 450, llavors hem de resoldre l’equació:

(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2 = 450

resolem això:

9 * n ^ 2 + (9 * n ^ 2 + 2 * (3 * n) * 3 + 9) + (9 * n ^ 2 + 2 * (3 * n) * 6 + 36) = 450

27 * n ^ 2 + 54 * n + 45 = 450

podem escriure això com:

27 * n ^ 2 + 54 * n + 45 - 450 = 0

27 * n ^ 2 + 54 * n - 405 = 0

Les solucions d’aquesta equació vénen donades per la fórmula de Bhaskara, i les solucions són:

[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]

sabem que els nostres nombres són naturals, aleshores els nombres són positius, cosa que significa que només ens importa la solució positiva de n, que és:

n = (-54 + 216) / 54 = 3

Llavors els 3 nombres són:

3 * n = 3 * 3 = 9

(3 * n + 3) = (3 * 3 + 3) = 12

(3 * n + 6) = (3 * 3 + 6) = 15

Answer:

132 yd³

Step-by-step explanation:

To find the volume of a triangular prism, use this equation: V = (1/2bh) * h

V = (1/2(11 * 4)) * 6

Step 1: Multiply 11 by 4 to get 44.

V = (1/2(44)) * 6

Step 2: Multiply 1/2 by 44 to get 22.

V = 22 * 6

Step 3: Multiply 22 by 6 to get 132.

V = 132

The volume of the figure is 132 yd³.

I hope this helps!  (⌒ω⌒)

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 32*

Explanation:

9x + 3x-10 + 2x-6 = 180

x = 14

3(14) - 10 = 32

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

<A=32

Step-by-step explanation:

9x+3x-10+2x-6=180

14x-16=180

14x=196

x=14

3(14)-10=

Answer:

2.4% as decimal will be 0.024.

Step-by-step explanation:

1) To convert to a decimal, divide the percent number by 100.

[tex]2.4 \div 100 = 0.024[/tex]

2) Therefore, the decimal form is 0.024.

[tex]0.024[/tex]

2.4% is equivalent to 0.024 as a decimal.

To convert 2.4% to a decimal, we divide the percentage value by 100. In this case, we divide 2.4 by 100:

2.4% = 2.4 / 100 = 0.024

Therefore, 2.4% as a decimal is 0.024.

When we convert a percentage to a decimal, we move the decimal point two places to the left. This is because a percentage is a value expressed as a fraction of 100. So, to express 2.4% as a decimal, we divide 2.4 by 100, resulting in 0.024.

To understand this conversion, consider that 100% is equivalent to the whole value, which is represented as 1 in decimal form. Any percentage less than 100% will be a fraction of that whole, expressed as a decimal less than 1. In this case, 2.4% is a small fraction of 1, which is 0.024.

To learn more about the decimal;

https://brainly.com/question/15945576

#SPJ6

Answer:

I think it is A

Step-by-step explanation:

All the other answers do not have a vertical reflection, and Figure A to Figure A' is a dilation and then a VERTICAL reflection.

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

Answer:

Dan made more money last month

Step-by-step explanation:

15/100   10/100 Make the Percent's into decimal's and Dan's is still higher

Answer:

1.5 lb

Step-by-step explanation:

Steps to determining the answer

Lb that would be needed for 1 square foot = 0.6 lb / 100 = 0.006

Lb needed for 250 square foot = 0.006 x 250 = 1.5 lb

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

Answer:

2/3x-10

Step-by-step explanation:

y=mx+b

y=2/3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-6). When x of the line is 6, y of the line must be -6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).

So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.

so, y=2/3x-10

Answer:

76ft.

Step-by-step explanation:

P = 2L +2H

P = 2(17) + 2(21)

P = 34 + 42

P = 76

Answer:

76 ft

Step-by-step explanation:

(21 x 2) + (17 x 2) = 42 + 34 = 76 ft

Answer:

[f(1) - f(3)] / [1–3]

Step-by-step explanation:

Formula

f(x) = 6(2.5)

How to find

The average rate of change over the interval [a,b], or the secant line between the points a and b on the function f(x), is [f(a) - f(b)]/[a-b]. So, substitute a for 1 and b for 3, and you get [f(1) - f(3)] / [1–3]. The quotient of that is your average rate of change.

Answer:

x < -4.6

Step-by-step explanation:

-4(x + 4) > x + 7

-4x - 16 > x + 7

-4x - x > 7 + 16

-5x > 23            (When we divide by a negative number, we flip the sign)

5x < -23

x < -4.6

Answer:

um that's veryyy creepy.....

Answer:

51

Step-by-step explanation:

You just subtract 9 from 60, hope this helps

Answer:

i think it is 20 percent

Step-by-step explanation:

Answer:

x = -4 and y = -20

Step-by-step explanation:

y = 5x and 7x - 3y = 32

→ Substitute y = 5x into 7x - 3y = 32

7x - 15x = 32

→ Simplify

-8x = 32

→ Solve

x = -4

→ Substitute x = -4 into y = 5x

5 × -4 = -20

Answer: B. 40

Step-by-step explanation:

We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40

Answer:

y  < or= -3/2

Step-by-step explanation:

Answer:

< or= -3/2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

Mean, since it represents the most frequent number

Answer:

polygamy

Step-by-step explanation:

Answer:

polygamy :)

Explanation:

Answer:

[tex]-\frac{15}{2}[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}135\mathrm{\:from\:both\:sides}[/tex]

[tex]4x^2+12x-135=135-135[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x^2+12x-135=0[/tex]

[tex]x1, 2=−b±√b2−4ac2a For a=4, b=12, c=−135x1, 2=−12±√122−4· 4(−135)2· 4[/tex]