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2 years ago

If Jamal has 2 times as many quarters as dimes and they have a combined value of 420 cents, how many of each coin does he have

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

6 0

Dimes has 280 quarters and jamal has 560 quarters

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Charlie ran 5 miles in 51.5 minutes. Use the equation 5r=51.5 to find r, the average rate he ran.

jenyasd209 [6]

5r = 51.5
r = 51.5 / 5
r = 10.3

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777dan777 [17]

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What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

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2 years ago

Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.<br>

tino4ka555 [31]

Pythagorean theorem.

a^2+b^2=c^2

This means that the square of the length of the 2 legs of a right triangle added together = the square of the length of the hypotenuses or diagonal.

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I will not write the exact answers to this problem. I think you can figure how to write it out yourselves.

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2 years ago

in justin's school,0.825 of students participate in a sport. if there are one thousand students in justin's school, how many pat

goblinko [34]

175 because 1,000-825=175

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2 years ago