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Daniel [21]
3 years ago
6

I'm not quite understanding how to solve these word problems

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0
I'll help you on the first one.
Anya test scores are 78 and 91.
She has one more test and want to average between an 80-89 inclusive.
Lets set up a inequality and call the remaining test x.
80<=(78+91+x)/3<=89
Multiply everything by 3
240<=169+x<=267
Subtract 169 from everything
71<=x<=98
In interval notation that would be [71,98]
In set notation that would be{x|71<=x<=98}
For the graph, I don't really understand. I think you just graph 71<=x<=98.

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Can someone show me the answer and maybe the work
Tatiana [17]

Answer:

Solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get \mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}

Step-by-step explanation:

We need to solve the expression:

\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}

We know the exponent rule: (a^n)^m = a^{nm}

\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}\\\\=\frac{y^2z^{\frac{1}{4}} }{z^{\frac{3}{2}}.x^3y^{\frac{9}{2} }}

Now, another exponent rule says that: \frac{a^m}{a^n}=a^{m-n}

=\frac{y^{2-\frac{9}{2}} z^{\frac{1}{4}-\frac{3}{2} } }{x^3}\\=\frac{y^{\frac{4-9}{2}} z^{\frac{1-3*2}{4} } }{x^3}\\=\frac{y^{\frac{-5}{2}}z^{\frac{-5}{4} } }{x^3}

We also know that: a^{-m}=\frac{1}{a^m}

=\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}

So, solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get \mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}

3 0
3 years ago
What questions do you still have about what we’ve learned
GenaCL600 [577]
Depending on what you’ve learned make a question about your opinion.
6 0
3 years ago
15.25 rounded to the nearest tenth?
Airida [17]
Rules for rounding:  If a number is less than 5,  round down.  If it is 5 or bigger,  round up.  Tenths is the one just to the right of the decimal.  Since the hundredths is 5,  we round up.  The answer is 15.3

:)-Kibeye
8 0
4 years ago
Read 2 more answers
Can someone please help me with this problem
alukav5142 [94]

Answer:

A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.

17°

27°

63°

73°

Step-by-step explanation:

5 0
4 years ago
Does anyone else play woozworld? if so, add me SummerRae0
expeople1 [14]
Ok I will add u to if you can help me with my test
6 0
3 years ago
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