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malfutka [58]
3 years ago
10

A bike path is 6

ac{3}{4} " align="absmiddle" class="latex-formula"> miles long what whole number is closest to 6 \frac{3}{4}?
Mathematics
1 answer:
Alecsey [184]3 years ago
5 0
3/4*6 *3/4
3/4*6*3/4
3/4*6*3/4

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a fox a coyote and a wolf weigh a total of 120 pounds the ratio of the weight of fox to the weight of coyote is 3:8 the weight o
ira [324]
There is not enough information to calculate this. 

<span>Knowing the weight ratio of the fox to coyote as 3:8 in no way allows you to know the respective ratio of the wolf. To know the weight of the wolf would require knowing its ratio value, then the weights of all 3 is an easy calculation. </span>
<span>Example - 3:8:15 (f:c:w) is a plausible ratio based upon real-world weight averages for certain species/subspecies of the three. </span>
<span>- knowing the values of the 3 terms as 3:8:15 gives a total of 3+8+15 = 26 ratio values </span>
<span>- you then simply divide the total weight by this ratio value total; 120/26 = 4.62 </span>
<span>- so each ratio value is 4.62 units of weight*** </span>
<span>- now, simply calculate the weight of each canid by multiplying its ratio value by the unit of weight... </span>
<span>fox; 3 x 4.62 = 13.86 </span>
<span>coyote; 8 x 4.62 = 36.96 </span>
<span>wolf; 15 x 4.62 = 69.3 </span>
<span>Validate the ratios by adding the weights together (we should get 120) 13.86 + 36.96 + 69.3 = 120.12 </span>
<span>The total is slightly out because that 4.62 figure was a rounding up. </span>

<span>Now, the thing is, there is nothing given that allows us to know exactly what ratio value the wolf should be, I chose 15 myself because that is a real-world plausible value when compared to 3:8 for the other 2. Changing it to 16, say, means that there are now 27 ratio values total giving a ratio value of 120/27 = 4.44 obviously changing the weights of all 3.</span>
5 0
3 years ago
State if the triangle is congruent
melisa1 [442]

Answer:

Step-by-step explanation:

m∠ JHI + m∠GHJ = 180    { linear pair}

m∠JHI + 90 = 180

m∠JHI = 180 -90 = 90

In ΔGHJ and ΔJHI,

          GJ = IJ   { given}

         JH = JH    {common}

 m∠ JHI = m∠GHJ  { above proved}

ΔGHJ  ≅ ΔJHI     { Angle Side Side congruence}

8 0
3 years ago
Which events have a probability of 25 percent? Select three options.
Marta_Voda [28]

Answer:

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

2 green jelly beans in a set of 2+5+1 = 8 jelly beans

2/8 = 0.25.

So this is one of the options.

rolling a number less than 3 on a six-sided die

2 options(1 or 2) out of 6 possible values

2/6 = 0.3333...

So this is not one of the options.

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

1 options(1) out of four possible sections(1,2,3,4)

1/4 = 0.25

So this is one of the options.

choosing an Oregon state quarter out a bag that contains 4 California state quarters, 3 Oregon state quarters, 6 Texas state quarters, and 3 New York state quarters

3 Oregon quarters out of 4+3+6+3 = 16 quarters

3/16 = 0.1875

Not one of the options

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

13 cards(spades) out of a set of 52 cards

13/52 = 0.25

So this is the final option

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