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Crank
2 years ago
5

: 11 = 1 /3 : 6 plz help

Mathematics
2 answers:
finlep [7]2 years ago
8 0
X=11/18 this is the answers, hope it helps
GenaCL600 [577]2 years ago
3 0
<h3>Let the number be x</h3>

x:11 =  \frac{1}{3} :6

  • Divide the numbers

\frac{x}{11}  =  \frac{ \frac{1}{3} }{6}  \\  \frac{x}{11}  =  \frac{1}{18}

  • Multiply all terms by the same value to eliminate fraction denominators

11 \times  \frac{x}{11}  = 11 \times  \frac{1}{18}

  • Cancel multiplied terms that are in the denominator

x = 11 \times  \frac{1}{18}

  • Multiply the numbers

x =  \frac{11}{18}

<h2>Solved ✔︎</h2>

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For what values of x does 25 Superscript x Baseline = 5 Superscript x squared minus 3?
umka2103 [35]

For this case we have the following equation:

25^{x} = 5^{ x^2-3}

Rewriting we have:

5^{2 (x)} = 5^{ x^ 2-3}\\5^{ 2x} = 5^{ x^ 2-3}

For expressions to be equal, exponents must be equal. So:

2x = x ^ 2-3\\x ^ 2-2x-3 = 0

To factor, we look for two numbers that, when multiplied, result in -3 and when added, result in -2. These numbers are -3 and 1.

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

Thus, the roots are:

x_ {1} = 3\\x_ {2} = - 1

Answer:

x_ {1} = 3\\x_ {2} = - 1

8 0
3 years ago
please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.
likoan [24]

ANSWER:

\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4

STEP-BY-STEP EXPLANATION:

We have the following equation:

f(x)=\sqrt{x}-4

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\  \\ \sqrt{f^{-1}(x)}=x+4 \\  \\ f^{-1}(x)=(x+4)^2 \end{gathered}

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.

\:f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge -4

4 0
10 months ago
LuANN is playing a math game. She chooses 3 cards. The value of her cards is hownn below
Rufina [12.5K]
I believe it is -14 :)
6 0
2 years ago
This question is from trignometry of class 9.​
Ne4ueva [31]

Answer:

  4.2π cm ≈ 13.19 cm

Step-by-step explanation:

The length s of an arc of a circle with radius r and central angle θ (in radians) is ...

  s = rθ

Here, we have ...

  s = (5.6 cm)(3π/4) = 4.2π cm ≈ 13.19 cm

8 0
3 years ago
Maya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Maya drove
Roman55 [17]

Answer:

480 miles.

Step-by-step explanation:

Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.

We have been given that there was heavy traffic on the way there, and the trip took 12 hours.

\text{Distance}=\text{Rate}\times \text{Time}

x=12r

We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.

So Maria's speed while returning back would be r+20.

x=8(r+20)

Upon equating both distances, we will get:

12r=8(r+20)

12r=8r+160

12r-8r=8r-8r+160

4r=160

r=\frac{160}{4}

r=40

Upon substituting r=40 in equation x=12r, we will get:

x=12r\\\\x=12(40)\\\\x=480

Therefore, Maya live 480 miles away from the mountains.

7 0
3 years ago
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