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3 years ago

HELP!!!

Mathematics

2 answers:

Jobisdone [24]3 years ago

8 0

Answer:

$16$ is the number of quarters and $14$ is the number of dimes

Step-by-step explanation:

we know that

$1\ dime=\$0.10$

$1\ quarter=\$0.25$

Let

x-----> the number of dimes

y------> the number of quarters

we know that

$0.10x+0.25y=5.40$ -----> equation A

$x+y=30$ ----Isolate the variable y

$y=30-x$ -----> equation B

Substitute equation B in equation A

$0.10x+0.25(30-x)=5.40$

$0.10x+7.5-0.25x=5.40$

$0.25x-0.10x=7.5-5.40$

$0.15x=2.1$

$x=14\ dimes$

Find the value of y

$y=30-x$

$y=30-14=16\ quarters$

therefore

$16$ is the number of quarters and $14$ is the number of dimes

Colt1911 [192]3 years ago

6 0

Answer:answer in image

Step-by-step explanation:

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Is 41/50 closer to 9/11 or 10/11? Verify your answer

Setler79 [48]

Which one is closer to 41/50, 9/11 or 10/11
=> Let’s find the value of the two given choices to be able to fin which one is closer to 41/50
=> 9/11 convert this to decimal number
=> 9 divide by 11
=> 0.82

=> 10/11 convert in decimals
=> 10 divide by 11
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Now, we have the value of both numbers, let’s find the value of 41/50
=> 41/50
=> 41 divided by 50
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Thus, the closer number to 41/50 is the 9/11 because they both have 0.82 decimal value.

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3 years ago

The law of Cosines Is......

iogann1982 [59]

Answer: $\Large\boxed{C.~21}$

Step-by-step explanation:

The goal of the question

Find the value of 2abcosC

Given information

a = 4

b = 3

c = 2

Given formula (Law of Cosine)

$c^2=a^2+b^2-2abcosC$

Substitute values into the formula (Leave 2abcosC as it is)

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Simplify the exponents

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Simplify by addition

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Add 2abcosC on both sides

$4+2abcosC=25-2abcosC+2abcosC$

$4+2abcosC=25$

Subtract 4 on both sides

$4 + 2abcosC-4=25-4$

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Hope this helps!! :)

Please let me know if you have any questions

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Step-by-step explanation:

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