Suppose Ken has 25 coins and nickels and dimes only and has a total of a $1.65 how many of each coin does he have?

Answers

Answer 1

Answer: $x-\ number\ of\ nickels\ny-\ number\ of\ dimes\n\nx+y=25 \ \ \ | x=25-y\n0.05x+0.1y=1.65\n\n0.05(25-y)+0.1y=1.65\n\n1.25-0.05y+0.1y=1.65\n\n1.25+0.05y=1.65\ \ \ | subtract\ 1.25\n\n0.05y=0.4\ \ \ \ \ | divide\ by\ 0.05\n\ny=8\n\nx=25-8=17\n\nThere\ are\ 17 \ nickels\ and\ 8\ dimes.$

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Find sin(7pie/4) using exact values

Answers

$sin( ( 7\pi )/(4) )=-sin(2 \pi - ( 7\pi )/(4) )=-sin ( \pi )/(4) =- (1)/( √(2) )$

Find a unit vector u u in R 2 R2 such that u u is perpendicular to v . v. How many such vectors are there

Answers

Answer: hello some part of your question is missing

Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.

Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?

answer:

One(1) unit vector ( < 5/√29, 2 /√29 > ) perpendicular to 〈−2,5〉

Step-by-step explanation:

let

u = < x , y > ∈/R^2 be perpendicular to v = < -2, 5 > ------ ( 1 )

hence :

-2x + 5y = 0

-2x = -5y

x = 5/2 y

back to equation 1

u = < 5/2y, y >

∴ || u || = y/2 √29

∧

u = < 5 /2 y * 2 / y√29 , y*2 / y√29 >

= < 5/√29, 2 /√29 > ( unit vector perpendicular to < -2, 5 > )

Calculate an estimate for the mean temperature

Answers

The temperature was in the range of 10-13 on 7 of the days.
Give it the weight of the middle of the range = 11.5 for 7 times = 80.5

The temperature was in the range of 14-17 on 9 of the days.
Give it the weight of the middle of the range = 15.5 for 9 times = 139.5

The temperature was in the range of 18-21 on 16 of the days.
Give it the weight of the middle of the range = 19.5 for 16 times = 312

The temperature was in the range of 22-25 on 22 of the days.
Give it the weight of the middle of the range = 23.5 for 22 times = 517

The temperature was in the range of 26-29 on 6 of the days.
Give it the weight of the middle of the range = 27.5 for 6 times = 165

Total weight for all ranges = (80.5 + 139.5 + 312 + 517 + 165) = 1,214

Total number of days = 60

Estimated mean temperature = (1,214) / (60) = 20.23°C

The three lengths of four triangles are given. Which triangle is a right triangle?

Answers

A 3-4-5 right triangle is a triangle whose side lengths are in the ratio of 3:4:5. In other words, a 3-4-5 triangle has the ratio of the sides in whole numbers called Pythagorean Triples.

What can you conclude ?? Need answer soon

Answers

It is B
You can conclude that M and L are parallel.
I hope this helped

If you sleep 7 hours every night how many hours are you awake in a year?

Answers

24h - 7h = 17h. 17 * 365= 6 205 h a year. In a leap year, it is 6 222 h a year.

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