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3 years ago

What is the value of x? Enter your answer in the box. x= __

Mathematics

1 answer:

RoseWind [281]3 years ago

8 0

Answer:

x =20

Step-by-step explanation:

We can use similar triangles and proportions to solve. Take the smaller triangle side on top and the larger triangle side on the bottom.

11 10

---------- = --------------

11+121 10 +5x+10

Combine like terms

11 10

---------- = --------------

132 5x+20

Using cross products

11*(5x+20) = 10*132

55x+220 = 1320

Subtract 220 from each side

55x+220-220 = 1320-220

55x = 1100

Divide by 55

55x/55= 1100/55

x =20

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189 divided by 9941.4

vovikov84 [41]

The answer is 0.0190114068441065

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3 years ago

The USA won 15 Wimbledon championships. Sweden and Switzerland both won 7. Australia won 6, German won 4, and Spain won 2. Write

mihalych1998 [28]

Well you add the total of championships. 15+7+7+6+4+2=41
The ratio is 6:41
This means that Australia won 6 of the 41 championships.

5 0

3 years ago

The cost of renting a game at the video store can be described by the function y=5x+4

topjm [15]

Answer:

2 days

Step-by-step explanation:

Use the given formula

y = 5x + 4

The information:

y is the money spent

x is the number of days

It is known that Justin spent $18

so now just substitute in that value

$18 = 5x + 4

and simplfiy by inverse operations

18 = 5x + 4

-4 -4

14 = 5x

/5 /5

2.8 = x

As per this problem, one can infer that renting a game is done by days, and will be charged in days, hence renting a game for 0.8 days is pointless

meaning that the final answer is 2 full days

6 0

3 years ago

A boy has 3 red , 2 yellow and 3 green marbles. In how many ways can the boy arrange the marbles in a line if: a) Marbles of the

Ilya [14]

Answer:

The total number of different arrangements is 560.

Step-by-step explanation:

A multiset is a collection of objects, just like a set, but can contain an object more than once.

The multiplicity of a particular type of object is the number of times objects of that type appear in a multiset.

Permutations of Multisets Theorem.

The number of ordered n-tuples (or permutations with repetition) on a collection or multiset of $n$ objects, where there are $k$ kinds of objects and object kind 1 occurs with multiplicity $n_1$ , object kind 2 occurs with multiplicity $n_2$ , ... , and object kind $k$ occurs with multiplicity $n_k$ is:

$\begin{equation*}\frac{n!}{n_1!*n_2!*\dots * n_k!}\end{equation*}$

We know that a boy has 3 red, 2 yellow and 3 green marbles. In this case we have n = 8.

If marbles of the same color are indistinguishable, then the total number of different arrangements is

${8 \choose 3, 2, 3} = \frac{8 !}{3 ! 2 ! 3 !} = \frac{8\cdot \:7\cdot \:6\cdot \:5\cdot \:4}{2!\cdot \:3!}=\frac{6720}{2!\cdot \:3!}=\frac{6720}{12}=560$

8 0

3 years ago

Find the slope of the line that passes through<br> the points (-6, -2) and (-7, -2)

xxTIMURxx [149]

Answer:

Step-by-step explanation:

-2+3/-7+6

o/-1

as slope is y2-y1/

x2-x1

7 0

3 years ago