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3 years ago

Rewrite the fraction 5 over 4 as an equivalent fraction with a denominator equal to 16

Mathematics

2 answers:

RUDIKE [14]3 years ago

8 0

5/4

*4

5*4=20/ 4*4=16

20/16

irakobra [83]3 years ago

4 0

5/4=
20/16
Answer: 20/16

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Describe a real-life situation in which you need to know a slope.

Alla [95]

Answer:

You are solving for the incline of the slope of the mountain to find out what kind of equipment you bring. You find that part of the mountain has a slope of 1, which meant you had to bring pickaxes, ropes, and other vertical climbing gears. On the other side, you see that the slope is only 1/3. This is much more easier to climb, and seems to be the better option of the two.

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3 years ago

Which of the following are true statements about a 30-60-90 triangle? Check all that apply. A. The hypotenuse is twice as long a

castortr0y [4]

C. The hypotenuse is twice as long as the shorter leg

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3 years ago

Keisha wants to read for 90 minutes.so far , she has read 30% of her goal. how much longer does she need to reach her goal?

S_A_V [24]

30% of 90 whenever it says "of" put in a multiplication sign 
30% x 90 take out the % sign (percent means divided by 100)
30/100 =3/10 simplify,then multiply by 90
3/10 x 90 = 270/10 simplify
270 = 27
90 - 27 = 63 subtract 27 because it is the amount read so far from the total
Keisha has to read 63 more minutes to reach her goal.

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3 years ago

Read 2 more answers

A number is chosen at random from 1 to 10. Find the probability of not selecting

PilotLPTM [1.2K]

Answer:

0.3

Step-by-step explanation:

Number of ways of selecting r elements from a set of n different elements is given by

C(n,r)=(n r)=n!/(r!(n−r)!)

No of ways of selecting one number out of ten numbers from one to 10 is 10

It can also be calculated using

C(n,r)=(n r)=n!/(r!(n−r)!)

where n = 10 and r = 1

C(10,1)=(10 1)=10!(1!(10−1)!) = 10*9!/ 1!*9! = 10

multiples of 2 in range 1 to 10 are 2, 4, 6, 8 , 10

multiples of 3 in range 1 to 10 are 3, 6, 9

Therefore number which are multiple of 2 and 3 are

2, 3,4,6,8,9,10 ( 7 numbers)

therefore no of ways of selecting multiple of 2 and 3 is 7 ways

number which are not multiple of 2 and 3 in range 1 to 10

1,5,7 (3 numbers)

no of ways of not selecting multiple of 2 and 3 is 3 ways

It can also be calculated using

C(3,1)=(3 1)=3!/(1!(3−1)!)

where n = 3 and r = 1

C(3,1)=(3 1)=3!/(1!(3−1)!) = 3!/(1!(2)!)= 3*2!/ 1!*2! = 2

Therefore no of ways of not selecting multiple of 2 and 3 is 3 ways

probability of not selecting a multiple of 2 or a multiple of 3 = no of ways of not selecting multiple of 2 and 3 /No of ways of selecting one number out of one to 10 = 3/10 = 0.3

4 0

3 years ago

Ryan the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot

Ivahew [28]

Answer:

Both plans last for 1.25 hours (1 hour 15 minutes)

Step-by-step explanation:

Let x hours be the time needed for plan A and y hours be the time needed for plan B.

On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. Thus, 5x+3y=10.

On Thursday there were 2 clients who did Plan A and 6 who did Plan B. Thus, 2x+6y=10.

Solve the sytem of two equation. Multiply the first equation by 2, the second by 5 and subtract them:

$10x+6y-10x-30y=20-50,\\ \\-24y=-30,\\ \\y=\dfrac{30}{24}=\dfrac{5}{4}=1.25\ hours.$

Therefore,

$5x+3\cdot 1.25=10,\\ \\5x=10-3.75=6.25,\\ \\x=1.25\ hours.$

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4 years ago