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Dennis_Churaev [7]
3 years ago
13

A baseball player was at bat 473 times during the regular season. If he made a hit 31.5% of the times he was at bat, how many hi

ts did he make during the regular season? Round to the nearest whole number
if necessary.


I really need help and please show all the work you accomplished
Mathematics
1 answer:
Sauron [17]3 years ago
5 0
So, since the question is asking you what percentage 31.5% is of 473, you can multiply 31.5 by 473 and get <span>14899.5. But, you'll have to change this answer into a percentage. So, you can move the decimal point two places over, and end up with 148.995. Since the question says that you can round to the nearest whole number, you can go ahead and put down 149. Hope this helped.</span>
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Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. (N
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Answer:

The solution to this system of equations is:

  • B = 28
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Step-by-step explanation:

We are given that Jill has 47 bugs and counts a total 320 legs.

We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.

\text{tarantulas + butterflies} = 47

We are also told that T is tarantulas and B is butterflies.

T + B = 47

Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:

6B + 8T = 320

Now, we can set up a system of equation.

\displaystyle \left \{ {{B + T = 47} \atop {6B + 8T = 320}} \right.

Using the first equation, we can solve for B.

\displaystyle B + T = 47\\\\B + T - T = 47 - T\\\\B = 47 - T

Then, we can substitute this value of B into the second equation and solve for T.

\displaystyle 6(47-T)+8T=320\\\\282 - 6T + 8T = 320\\\\282 + 2T = 320\\\\2T + 282 = 320\\\\2T + 282 - 282 = 320 -282\\\\2T = 38\\\\\frac{2T}{2}=\frac{38}{2}\\\\T = 19

Finally, we can substitute this value of T into the first equation to solve for B.

B + 19 = 47\\\\B + 19 - 19 = 47 - 19\\\\B = 28

Therefore, the solution to this system of equations is:

  • B = 28
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