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3 years ago

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The distances in a children’s traithlon are swimming 1/4 mile,running 3/4 mile,and biking 3/4 mile.What is the total length of t

he race?
A.7/12
B.1 1/2
C.1 3/4
D.2 1/4

1 answer:

Marina86 [1]3 years ago

4 0

Answer:

C

Step-by-step explanation:

1/4+3/4+3/4= 7/4

Now, we need to express as a mixed number.

7/4 = (4+3)/4 = (4/4) + (3/4) = 1 + 3/4 = 1 3/4

Answer C.

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Aliun [14]

Answer:

See explanation

Step-by-step explanation:

Simplify left and right parts separately.

<u>Left part:</u>

$\left(1+\dfrac{1}{\tan^2A}\right)\left(1+\dfrac{1}{\cot ^2A}\right)\\ \\=\left(1+\dfrac{1}{\frac{\sin^2A}{\cos^2A}}\right)\left(1+\dfrac{1}{\frac{\cos^2A}{\sin^2A}}\right)\\ \\=\left(1+\dfrac{\cos^2A}{\sin^2A}\right)\left(1+\dfrac{\sin^2A}{\cos^2A}\right)\\ \\=\dfrac{\sin^2A+\cos^2A}{\sin^2A}\cdot \dfrac{\cos^2A+\sin^A}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A}\cdot \dfrac{1}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A\cos^2A}$

<u>Right part:</u>

$\dfrac{1}{\sin^2A-\sin^4A}\\ \\=\dfrac{1}{\sin^2A(1-\sin^2A)}\\ \\=\dfrac{1}{\sin^2A\cos^2A}$

Since simplified left and right parts are the same, then the equality is true.

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3 years ago

PETS Becky wants to buy some fish for her aquarium. She has $20 to spend and the fish cost $2.50 each. Write and solve an inequa

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To start, you want to determine the inequality. You can do this by setting the number of buying n fish to be less than or equal to her current amount of money, being as it can't go over or she wouldn't be able to afford the fish. This inequality would be written so her amount of money (20) would be greater than or equal to the cost of n fish (2.5n), which would then look as such: 20≥2.5n. To solve this inequality, just solve for n by dividing both sides by 2.5, giving you 8≥n. This would mean that Becky can afford to buy up to 8 fish.

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3 years ago

Nick bought t candies and divided them equally between his y friends and me. Each of us got 7 candies.

inysia [295]

<h2>Hello!</h2><h2>Let me help you.</h2>

As I understand, you need to write an equation that relates $t \ and \ y$ . This problem will be solved using equations. The problem states:

<em>Nick bought t candies and divided them equally between his y friends and me. Each of us got 7 candies.</em>

<em />

From this statement, we know that:

t: Number of candies Nick bought.

y: Number of friends.

Since I am included in this problem, the number of people involved here can be expressed as:

$y+1$

Since each of us got 7 candies, then it is true that:

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3 years ago

Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total o

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Answer:

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3 years ago

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Vsevolod [243]

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point slope form

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looking at the above equation

the slope is -3

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3 years ago