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stiks02 [169]
3 years ago
5

Kevin has traveled 42, 1/2 miles on his trip. That is 1/3 of the total distance, how far is his trip?

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0
42 and a half right?

multiply it by 3 and you get 127 and a half
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Verify the identity 6cos^2(x) -3 = 3 - 6sin^2(x)
Lorico [155]

Answer:

It is proved that  6\cos ^{2}x -3 = 3 - 6\sin ^{2} x .

Step-by-step explanation:

We already have the identity of x as \sin ^{2}x + \cos ^{2}x = 1 .......... (1)  .

So, from equation (1) we can write that

\cos ^{2} x = 1 - \sin ^{2} x

⇒ 6\cos ^{2} x = 6 - 6 \sin ^{2} x

⇒ 6\cos ^{2} x -3 = 6 - 6 \sin ^{2}x -3

⇒ 6\cos ^{2}x -3 = 3 - 6\sin ^{2} x

Hence, it is proved that  6\cos ^{2}x -3 = 3 - 6\sin ^{2} x . (Answer)

5 0
3 years ago
To rent a uhal truck for the day, it cost 20 dollars per day plus 1 dollar for every mile driven Write an algebraic expression t
valkas [14]

Answer:

The equation is R = 20d + m(1)

Where R is the rental amount in dollars, d is the number of days and m is the number of miles driven

R for 3 days and 1000 miles is $1,060

Step-by-step explanation:

To properly represent the algebraic expression, we need to assign some variables.

Now, let the rental amount be R, the number of miles driven be m and the number of days rented for is d

Thus, we can say that:

R = 20d+ m(1)

Where R is rental amount, m is the number of miles driven and d is the number of days for which the truck was driven.

Now we are asked to calculate rental amount for 3 days and 1000 miles.

R = 20d + m(1)

R = 20(3) + 1000(1)

R = 60 + 1000

R = $1,060

5 0
3 years ago
The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?
Anit [1.1K]

For proportionality constant problems, set up the equation as,

x=Ky,

Where x and y are the two variables you are comparing and <em>K </em>is the proportionality constant. If we take <em>Caramel Corn  </em>values as x and <em>Cheddar Corn </em>values as y, and then solve for <em>K </em>for each ratio lines, we will get the same answer. Let's check.

15=K(10)\\K=\frac{15}{10}= \frac{3}{2},

30=K(20)\\K=\frac{30}{20}= \frac{3}{2}, and

45=K(30)\\K=\frac{45}{30}= \frac{3}{2}.

Hence, the proportionality constant, in this case <em>K,</em> is equal to \frac{3}{2} or 1.5. First answer choice is correct.


ANSWER: 1.5


4 0
2 years ago
Read 2 more answers
karen is planning to drive 3105 miles on a road if she drive 345 miles a day how many days will it take to complete this trip
Maurinko [17]

Answer:

9 days!

Step-by-step explanation:

Take the number of miles shes planning on driving (3105) and divide it by the number of miles a day (345) and you would get 9

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3 years ago
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Lapatulllka [165]

Answer: 3 rides per hour

Step-by-step explanation: 24 rides divided by 8 hours is 3 rides per hour

8 0
3 years ago
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