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sdas [7]
3 years ago
9

A hiker travels 12 km in 3 h.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0
This is a ratio. 
12 km : 3 h 

simplify to-
4km : 1 h 

which means the hiker traveled 4 km per 1 hour. 
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List the angles in order from the smallest to the largest.
Svetllana [295]

Answer:

D. <S, <R, <T

Step-by-step explanation:

Recall: On a triangle, the bigger an angle measure the longer the side opposite it and vice versa.

In ∆RST,

The longest side, SR = 22, is opposite to <T

Therefore, <T is the biggest angle.

Medium side, ST = 21, is opposite to <R, therefore,

<R is the medium angle measure

The smallest angle measure <S is opposite to the shortest side, RT.

Angels I'm order form the smallest to largest will be:

<S, <R, <T

8 0
3 years ago
A number cube is rolled 150 times. The number 3 comes up 43 times. What is the experimental probability of rolling 3? What is th
Vadim26 [7]
The experimental probability is computed to be 43/150 or approximately 28.67%. This is computed by dividing the event of number 3 showing by the total number of times the cube is rolled.
The theoretical probability is computed to be 1/6 or approximately 16.67%. Since there is only one side with the number 3, and there is a total of six sides in a cube. Theoretical probability assumes that the number cube is fair and all sides have equal chances of showing up.
4 0
3 years ago
A company’s sales increased 17% this year, to $8267. What were their sales last year?
Arisa [49]

Answer:

eekk im not shure sorry but it might be 8156 i no no

Step-by-step explanation:

3 0
3 years ago
the starving actors guild holds its annual winter arts festival in hopes of raising $13,344 by selling 824 tickets. The guild ch
kap26 [50]
A + c = 824                             represents number of tickets to sell
20a + 12c = 13,344                represents cost of each type of ticket

multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'

-12(a + c = 824)

-12a - 12c = - 9888
 20a + 12c = 13,344         add equations together
-----------------------------
    8a          = 3456           divide both sides by 8
     a = 432

To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392

adult 432, children 392
8 0
3 years ago
Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Wor
LenKa [72]

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}

The mean of set of a is:

Mean=\dfrac{200+104+100+160}{4}

Mean=\dfrac{564}{4}

Mean=141

The mean of set of b is:

Mean=\dfrac{270+400+483+300+x}{5}

Mean=\dfrac{1453+x}{5}

Mean=\dfrac{1453+x}{5}

It is given that,

Mean of set a: mean of set b= 3:8

\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}

\dfrac{705}{1453+x}=\dfrac{3}{8}

8\times 705=3\times (1453+x)

5640=4359&#10;+3x

Isolate the variable x.

5640-4359&#10;=3x

1281&#10;=3x

Divide both sides by 3.

\dfrac{1281}{3}&#10;=x

427&#10;=x

Therefore, the value of x is 427.

3 0
3 years ago
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