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amid [387]
3 years ago
5

The second of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers.

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

13 and 23

Step-by-step explanation:

create an equation to solve:

(2x-3) + x = 36

3x - 3 = 36 combine like terms

<u> +3 +3</u><u> </u> add 3 to both sides

<u>3</u>x = <u>39</u>

3 3 divide both sides by 3

x = 13

<u>13 is the first number</u>

the 2nd number is 3 let than twice the first so we create and solve a new equation:

2x - 3 = ?

2(13) = ? substitute 13 from the

smaller number to solve

<u>23 = the 2nd number</u>

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Solve the right triangle round your answer to the nearest tenth
saul85 [17]

Answer:

14

Step-by-step explanation:

You add 50 and 26 together to get 76, then you subtract 90 and 76 to get 14

7 0
2 years ago
Given sets X, Y, Z, and U, find the set Xn(X - Y) using the listing method.
Aliun [14]

Answer:

{f, a}

Step-by-step explanation:

Given the sets:

X = {d, c, f, a}

Y = {d, e, c}

Z ={e, c, b, f, g}

U = {a, b, c, d, e, f, g}

To obtain the set X n (X - Y)

We first obtain :

(X - Y) :

The elements in X that are not in Y

(X - Y) = {f, a}

X n (X - Y) :

X = {d, c, f, a} intersection

(X - Y) = {f, a}

X n (X - Y) = elements in X and (X - Y)

X n (X - Y) = {f, a}

6 0
3 years ago
What are the points of inflection of k(x)=sinx-(1/4)sin2x
zalisa [80]

Answer:

Option d is correct.

Step-by-step explanation:

The point of inflection of a function y = f(x) at a pointy c is given by f''(c) = 0.

Now, the given function is

k(x) = \sin x - \frac{1}{4}\sin 2x

Differentiating with respect to x on both sides we get,

k'(x) = \cos x - \frac{1}{2} \cos 2x

Again, differentiating with respect to x on both sides we get,

k''(x) = - \sin x + \sin 2x = - \sin x + 2 \sin x \cos x

So, the condition for point of inflection at point c is

k''(c) = 0 = - sin c + 2 sin c cos c

⇒ sin c(2cos c - 1) = 0

⇒ sin c =  0 or \cos c = \frac{1}{2}

⇒ c = 0 or c = \pm \frac{\pi}{3}

Therefore, option d is correct. (Answer)

8 0
3 years ago
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IgorC [24]
U/(4^6-2)

would be the answer. Good luck!
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2 years ago
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tiny-mole [99]

Answer:

The amount of money you'll have at the end of 10 years is $2400.

Step-by-step explanation:

Here, the deposited Principal = $2000

Time = 10 years

Rate of Interest = 2%

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\textrm{SIMPLE INTEREST} = \frac{{P \times R \times T}}{{100}}\\\implies SI = \frac{2000 \times 2 \times 10}{100}   = 400

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Hence, The amount of money you'll have at the end of 10 years is $2400.

6 0
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