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3 years ago

Fred paid $75 for a pack of 15 toy mice. How much did each mouse cost?

Mathematics

2 answers:

Oksana_A [137]3 years ago

8 0

Answer: 5 dollars

Step-by-step explanation:

75/15 = 5

morpeh [17]3 years ago

7 0

75 divided by 15 equals 5 so each mouse cost $5.

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inysia [295]

$\large \bigstar \frak{ } \large\underline{\sf{Solution-}}$

Consider, LHS

$\begin{gathered}\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } \\ \end{gathered}$

We know,

$\begin{gathered}\boxed{\sf{ \:\rm \: {sec}^{2}x - {tan}^{2}x = 1 \: \: }} \\ \end{gathered} \\ \\ \text{So, using this identity, we get} \\ \\ \begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - ( {sec}^{2}\theta - {tan}^{2}\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}$

We know,

$\begin{gathered}\boxed{\sf{ \:\rm \: {x}^{2} - {y}^{2} = (x + y)(x - y) \: \: }} \\ \end{gathered} \\$

So, using this identity, we get

$\begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - (sec\theta + tan\theta )(sec\theta - tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}$

can be rewritten as

$\begin{gathered}\rm\:=\:\dfrac {(\sec \theta + tan\theta ) - (sec\theta + tan\theta )(sec\theta -tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac {(\sec \theta + tan\theta ) \: \cancel{(1 - sec\theta + tan\theta )}} { \cancel{ \tan \theta - \sec \theta + 1} } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:sec\theta + tan\theta \\\end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1}{cos\theta } + \dfrac{sin\theta }{cos\theta } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1 + sin\theta }{cos\theta } \\ \end{gathered}$

<h2>Hence,</h2>

$\begin{gathered} \\ \rm\implies \:\boxed{\sf{ \:\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \:\dfrac{1 + sin\theta }{cos\theta } \: \: }} \\ \\ \end{gathered}$

$\rule{190pt}{2pt}$

5 0

2 years ago

PLEASE HELP GUYS! The math club is order tee shirts for each member. The tee shirts cost $12.50 each plus a one - time set - up

ser-zykov [4K]

So ($25)

find out how much 126 t-shirts will cost including the $25 set up fee.
so in calculator its (12.50 × 126) + 25. This gives you 1600.
Now you know the answer, you work your way backwards.

y = x + $25

I THINK THIS IS RIGHT IF ITS NOT PLEASE TELL ME

6 0

3 years ago

Read 2 more answers

Need help with this problem. ASAP

Mashutka [201]

Sorry I do not have added

7 0

3 years ago

If 40x = 400, then A. x equals 100. B. x equals 10. C. I equals 4. O D. x equals 1. E. requals 0 ).

Brut [27]

Answer:

B- x= 10

Step-by-step explanation:

40x=400 -> 40 x 10= 400

8 0

3 years ago

a deep sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 200 feet below sea level. How de

nlexa [21]

25 times 10=250

200+250=450 feet underwater

7 0

3 years ago