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2 years ago

The sum of two numbers is 40 . One number is 4 times as large as the other.

1 answer:

3 0

<span>x+4x=40. 5x=40. x=40\5. x=8 8 is one of the numbers. To find the other number we must multiply 8 by 4 which equals to 32. so the numbers are 8 and 32. check - 8+32=40.</span>

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HELPP PLEASEEE

MrRa [10]

Answer: The answer to your question is 6 $\sqrt{3}$

Step-by-step explanation:

To solve this problem we will use proportions. We will compare the largest right triangle and the medium size triangle.

Medium triangle Large triangle

hypotenuse y 9 + 3

adjacent size 9 y

- Write the proportions

y/9 = (9 + 3)/y

-Solve for y

y² = 9(12)

y² = 108

y = $\sqrt{180}$

-Find the prime factors of 108

108 2

54 2

27 3

9 3

3 3

then, 108 = 2² 3³

-Expressthe root as fractional exponents

2²/² 3²/² 3¹/²

-Simplification

2(3)(3)¹/²

-Result

6 $\sqrt{3}$

8 0

2 years ago

PLEASE HELP! A juice company gives prizes to anyone finding specially marked caps on its juice bottles. You and your friends buy

laiz [17]

The odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

<h3>What is odds against?</h3>

In probability, the term odds against is the ratio of probability of non occurring a favorable event to the probability of occurring a favorable event. It can be given as,

$\text{odd against}=\dfrac{P(\overline A)}{P(A)}$

Here, $P(\overline A)$ is the probability of not occurring a favorable event, and P(A) is the probability of occurring a favorable event.

A juice company gives the prizes to anyone finding specially marked caps on its juice bottles. The 4 bottles have winning cap in 20 bottles. Thus, the probability of winning is,

$P(A)=\dfrac{4}{20}\\P(A)=\dfrac{1}{5}$

The probability of not winning is,

$P(\overline A)=1-\dfrac{1}{5}\\P=\dfrac{4}{5}$

Thus, the odd against the winning is,

$\text{odd against}=\dfrac{\dfrac{4}{5}}{\dfrac{1}{4}}\\\text{odd against}=\dfrac{16}{5}\\\text{odd against}=3.2$

Thus, the odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

Learn more about the odds against here;

brainly.com/question/1870238

#SPJ1

7 0

2 years ago

The _____ _____, f(x) = x, is formed by the composition of a function and its inverse. (2 words)

jonny [76]

Answer:

Identity function

Step-by-step explanation:

We are given the following in the question:

Let f(x) be a function.

Then, inverse of f(x) can be written as:

$f^{-1}(x)$

The composition function of the function and the reverse function can be found as:

$(f\circf^{-1})(x) = f(f^{-1})(x) = x$

which is an identity function.

Thus, the correct answer is

The identity function, f(x) = x, is formed by the composition of a function and its inverse.

8 0

2 years ago

Given amn 45 and abc 45 the triangles are similar by

Sever21 [200]

Answer:

JUST DOING THIS FOR POINTS

Step-by-step explanation:

LOL

8 0

2 years ago

What is the difference between x and half of your??

allsm [11]

This question doesent make sense

7 0

2 years ago