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3 years ago

Determine if the ratios are equivalent. 17:3 and 68:12

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

Answer:

They are equivalent

Step-by-step explanation:

We can do cross products for this one

17/3 = 68/12

17 times 12 = 68 times 3

204 = 204

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Andy purchased a pair of shoes for $40. They had been discounted 25%. What was the original price of the shoes

natali 33 [55]

Answer:160

Step-by-step explanation:first I did 40*100=4000 then I divide by 25 so I got 160

4 0

3 years ago

What is the probability of drawing the compliment of a king or a

inna [77]

Answer:

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

Step(i):-

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

$n( E_{1} ) = 4 _{C_{1} } = 4$

Let E₂ be the event of the card drawn being a queen

$n( E_{2} ) = 4 _{C_{1} } = 4$

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

step(ii):-

The probability of drawing of a king or a queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

$= \frac{4}{52} + \frac{4}{52}$

P( E₁ U E₂ ) = $\frac{8}{52}$

step(iii):-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards

$P(E_{1}UE_{2}) ^{-} = 1- P(E_{1} U E_{2} )$

$P(E_{1}UE_{2}) ^{-} = 1- \frac{8}{52}$

$P(E_{1}UE_{2}) ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846$

Conclusion:-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

5 0

3 years ago

What is the rate of return when 35 shares of Stock A, purchased for $20/share, are sold for $815? The commission on the sale is

wariber [46]

Cost price:-

$\\ \sf\longmapsto 35\times 20$

$\\ \sf\longmapsto 700$

Commision=$6
Total sold price=815+6=823$

Now

Return=823-700=123

Rate of return

$\\ \sf\longmapsto \dfrac{123}{700}\times 100$

$\\ \sf\longmapsto \dfrac{123}{7}$

$\\ \sf\longmapsto 17.5\%$

7 0

3 years ago

Read 2 more answers

sergiy2304 [10]

Answer:

Q, R

Step-by-step explanation:

All of the listed sets of numbers are Real numbers. The fraction is not an integer, so is not in sets I or N. Because it is a fraction, it is in set Q, and because R includes Q, ...

the number is in sets Q and R

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3 years ago

If a = -3, find the value of a) 2a b) a^2 c) 3a^2

White raven [17]

Answer:

a) -6

b) 9

c) 27

Step-by-step explanation:

$2( - 3) = - 6 \\ { - 3}^{2} = - 9 \\ 3 {( - 3)}^{2} = 27$

8 0

2 years ago

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