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Karolina [17]
3 years ago
9

Quicky help????????????

Mathematics
1 answer:
sergeinik [125]3 years ago
5 0

Step-by-step explanation:

first bring 87.5 to right

25t=12.5+87.5

25t=100.0

then bring 25 to right so it will divided

t=100.0/25

t=4

putting value of t in 25t-87.5=12.5

25(4)-87.5=12.5

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The answer to this question is 24
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3 years ago
Simplify. Assume that no denominator is equal to zero.
maria [59]

Answer:

3³

Step-by-step explanation:

Using the rule of exponents

\frac{a^{m} }{a^{n} } = a^{(m-n)}

Given

\frac{3^{10} }{3^{7} }

= 3^{(10-7)}

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3 0
4 years ago
This season, Lisa's lacrosse team has won $\frac 23 of their home games (games played at Lisa's school), but just $\frac 25 of t
juin [17]

Answer:

Lisa's team have played 24 home games and 25 away games.

Step-by-step explanation:

Given:

Let x represents games played at home.

also y represent games played away.

Total number of games played = 49

∴ x+y=49 \ \ \ \  equation \ 1

Now according to given data:

Number of home games won = \frac{2}{3}

Number of away game won = \frac{2}{5}

Total games won =26

Hence

\frac{2}{3}x+\frac{2}{5}y=26\\\\\frac{2\times 5}{3\times 5}x+\frac{2\times 3}{5\times 5}y=26\\\\\frac{10}{15}x+\frac{6}{15}y=26\\\\\frac{10x+6y}{15}=26\\\\10x+6y= 26\times 15\\10x+6y = 390\\2(5x+3y)=390\\5x+3y=\frac{390}{5}\\\\5x+3y=195 \ \ \ \ equation \ 2\\

Now multiplying equation 1 by 3 we get,

3(x+y)=3\times49\\3x+3y=147 \ \ \ \ \ equation \ 3\\

Now Subtracting equation 2 by equation 3 we get,

(5x+3y=195)-(3x+3y=147)\\2x=48\\x= \frac{48}{2}=24

Substituting value of x in equation 1 we get.

x+y=49\\24+y=49\\y=49-24=25

Hence Lisa's team have played 24 home games and 25 away games.

3 0
3 years ago
Find a formula for cos(tan−1(2x)) in terms of x
aleksklad [387]

~\cos\left( \tan^{-1} 2x\right)\\\\\\=\cos \left[\cos^{-1} \dfrac{1}{\sqrt{(2x)^2+1^2}} \right]~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Pythagorean theorem}]\\\\\\=\cos \left( \cos^{-1} \dfrac{1}{\sqrt{4x^2 +1}} \right)\\\\\\=\dfrac{1}{\sqrt{4x^2 +1}}

4 0
2 years ago
Write a numerical expression to represent the phrase.<br><br> the difference of 4 cubed and 25
7nadin3 [17]

Hello!

First, "the difference" of 2 numbers means you subtract these numbers.

Then, 4 cubed is written as follows:

4³

Subtract:

4³-25

[If necessary] Evaluate:

64-25

39

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

3 0
2 years ago
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