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2 years ago

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Kayla is making cakes she has 7 1/2 of flour each cake takes 1 1/2 of flour. What is the greatest amount if cakes kayla can make

?

1 answer:

ipn [44]2 years ago

3 0

Answer:

she can make 5 cakes.

Step-by-step explanation:

you can divide 1.5 by 7.5 and you will get 5.

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Express tan F as a fraction in simplest terms

gladu [14]

Answer:

5/12

Step-by-step explanation:

You want the tangent of angle F in right triangle FGH with sides FG=24, GH=10, and FH=26.

<h3>Tangent</h3>

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and the sides of a right triangle. The TOA part of this tells you ...

Tangent = Opposite/Adjacent

<h3>Application</h3>

The side opposite angle F is GH = 10.

The side adjacent to angle F is FG = 24.

Then the tangent is ...

tan(F) = GH/FG = 10/24

tan(F) = 5/12 . . . . . reduced to lowest terms

3 0

1 year ago

A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$

Plug in n = 12 and r = 9

$=\frac{12!}{9!\left(12-9\right)!}$

$=\frac{12!}{9!\cdot \:3!}$

$=\frac{12\cdot \:11\cdot \:10}{3!}$ ∵ $\frac{12!}{9!}=12\cdot \:11\cdot \:10$

$=\frac{1320}{6}$ ∵ $3!\:=\:3\times 2\times 1=6$

$=220$

Thus, the probability will be:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$=\frac{220}{4096}$

$=\frac{55}{1024}$

Thus, the probability of the coin landing tails up exactly nine times will be:

$P\left(E\right)=\frac{55}{1024}$

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2 years ago

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steposvetlana [31]

Answer:

reference attached

Step-by-step explanation:

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What point names the ordered pair (3, -5)?

gregori [183]

Answer:

D

Step-by-step explanation:

We start at the origin (we the axis cross)

We go three units to the right, then 5 units down.

We end up at the point D

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Rihanna thinks that if a=b and c=d, then a+c=b+d. Is she correct

kap26 [50]

Answer:

yes. that logic works.

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3 years ago

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