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PilotLPTM [1.2K]

4 years ago

13

A jar contains a mixture of 10 black paperclips, 8 red paperclips, and 2 white paperclips all the same size. Determine the proba

bility of choosing either a red, black, or white paperclip.

1 answer:

Marizza181 [45]4 years ago

3 0

There are 20 paper clips in total so

Black probability: 10/20 (50%)

Red probability: 8/20 (40%)

White probability: 2/20 (10%)

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At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawals,

denis-greek [22]

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.

Let x be the amount of one of Derek's withdrawals

Each of John's withdrawals was $5 more than each withdrawal that Derek made.

x + 5 is t the amount of one of John's withdrawals

Derek made 7 withdrawals

So amount withdraw 7 times = 7x

John made 5 withdrawals

So amount withdraw 5 times = 5(x+5)

Both Derek and John withdrew the same amount of money in the end

(A)7x = 5(x+5)

(B) Solve for x

7x = 5x + 25

Subtract 5x from both sides

2x = 25

Divide by 2

x = 12.5

(C) check your solution

we plug in 12.5 for x in 7x= 5x + 25

7(12.5) = 5(12.5) + 25

87.5 = 62.5+ 25

87.5 = 87.5

(D) Each brother withdrawal 87.5 dollars

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3 years ago

What is the missing digit?

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I think the answer is 7

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3 years ago

Which choice is equivalent to the quotient shown here when x is greater than or equal to 0?

Dima020 [189]

Answer: OPTION C

Step-by-step explanation:

Remember that:

$\sqrt[n]{a^n}=a$

And the Product of powers property establishes that:

$a^m*a^n=a^{(mn)}$

Rewrite the expression:

$\frac{\sqrt{18x} }{\sqrt{32} }$

Descompose 18 and 32 into their prime factors:

$18=2*3*3=2*3^2\\32=2*2*2*2*2=2^5=2^4*2$

Substitute into the expression, then:

$\frac{\sqrt{(2*3^2)x} }{\sqrt{2^4*2} }$

Finally,simplifying, you get:

$\frac{3\sqrt{(2)x} }{2^2\sqrt{2} }=\frac{3\sqrt{2x}}{4\sqrt{2}}=\frac{(3)(\sqrt{x})(\sqrt{2})}{(4)(\sqrt{2})}= \frac{3\sqrt{x}}{4}$

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3 years ago

Susan has a bag full of

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

May someone help me with this pls

Zielflug [23.3K]

Answer:

PQRS - a parallelogram
GHJI - not necessarily
RSUT - a parallelogram
ABDC - a parallelogram

Step-by-step explanation:

A parallelogram has these characteristics that can be useful for answering this question:

opposite sides are the same length
opposite sides are parallel
the diagonals bisect each other

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<h3>PQRS</h3>

Opposite sides are the same length: a parallelogram

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<h3>GHJI</h3>

Two isosceles triangles share a base segment. Not necessarily a parallelogram.

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<h3>RSUT</h3>

The diagonals bisect each other: a parallelogram

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<h3>ABDC</h3>

Opposite sides are parallel: a parallelogram. We know BD║AC from the converse of the alternate interior angles theorem. AB and CD are marked parallel.

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2 years ago