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lukranit [14]
4 years ago
13

alexus plans to practice soccer during the month of November if he practices 1/5 of those days how many days will he practice so

ccer ​
Mathematics
1 answer:
Viefleur [7K]4 years ago
4 0

Answer:

6 days

Step-by-step explanation:

30 days in november, 30 times 1/5 is 6

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There are 252 pieces of candy in a 14-ounce jar. How many pieces of candy are there per ounce in the jar ?
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The question gives us the amount of candy (252 pieces) and the number of ounces that the jar holds (14 ounces).

We can then find the pieces of candy per ounce by dividing the number of pieces by the amount of ounces that the jar holds:

\frac{252 pieces}{14 ounces}
\frac{18pieces}{1ounce}

Now we know that there are 18 pieces of candy per one ounce that the jar can hold.
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Step-by-step explanation:

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The area of a rectangle is 108m^2 and its diagonal is 15m. Find the perimeter of the rectangle. Please without quadratics.
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\text{l-length}\\\text{w-width}\\lw-area\\108\ m^2-area\\d-diagonal\\\\\text{The equation}\ \#1:\\\\lw=108\to l=\dfrac{108}{w}\\\\\text{The equation}\ \#2:\\\\\text{Use the Pythagorean theorem:}\\\\l^2+w^2=d^2\to l^2+w^2=15^2\to l^2+w^2=225\\\\\text{Subtitute from}\ \#1\ \text{to}\ \#2:

\left(\dfrac{108}{w}\right)^2+w^2=225\\\\\dfrac{11,664}{w^2}+w^2=225\qquad\text{multiply both sides by }\ w^2\neq0\\\\11,664+w^4=225w^2\qquad\text{subtract}\ 225w^2\ \text{from both sides}\\\\w^4-225w^2+11,664=0\qquad\text{substitute}\ t=w^2 > 0\\\\t^2-225t+11,664=0\\\\\text{use the quadratic formula or solve by factoring}.\\\\t^2-144t-81t+11,664=0\\\\t(t-144)-81(t-144)=0\\\\(t-144)(t-81)=0\iff t-144=0\ or\ t-81=0\\\\\boxed{t=144}\ or\ \boxed{t=81}\to w^2=144\ or\ w^2=81\\\\w=\sqrt{144}\ or\ w=\sqrt{81}\\\\\boxed{w=12\ m}\ or\ \boxed{w=9\ m}

\text{Put the values of}\ w\ \text{to the equation}\ \#1:\\\\l=\dfrac{108}{12}\to\boxed{l=9\ m}\ or\ l=\dfrac{108}{9}\to\boxed{l=12}\\\\\text{The formula of a perimeter of a rectangle:}\\\\P=2l+2w\\\\P=2(12)+2(9)=24+18=42\\\\Answer:\ \text{The perimeter of the rectangle is equal 42 m}.

8 0
4 years ago
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