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Elina [12.6K]
1 year ago
11

You spend 15 minutes doing homework. You spend 3 hours watching television. Write the ratio of the amount of time spent doing ho

mework to the amount of time
watching tv as a fraction in simplest form
Mathematics
1 answer:
german1 year ago
3 0

The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.

  • The time spent on doing the homework is 15 minutes.
  • The time spent watching television is 3 hours.
  • To calculate the ratio, we must have the same units for both quantities.
  • We have to convert the time spent watching television from hours to minutes.
  • 1 hour is 60 minutes.
  • 3 hours has 3*60 minutes.
  • 3 hours have 180 minutes.
  • So, the time spent watching television is 180 minutes.
  • The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.
  • We need to simplify the fraction.
  • 15/180 is equal to 1/12.
  • Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.

To learn more about fractions, visit :

brainly.com/question/10354322

#SPJ9

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FrozenT [24]

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1  = (4x − 1)(4x + 1) ;  16x² − 4  = 4(2x + 1)(2x − 1); 4x² − 1  = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1  is the difference of squares.  This is because 16x² is a perfect square, as is 1.  To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares.  The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2).  However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1  is also the difference of squares.  The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares.  The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0
3 years ago
Which sets does square 7 belong to.​
horsena [70]

Answer:Number Sets. There are sets of numbers that are used so often they have special names and symbols: ... The numbers you can make by dividing one integer by another (but not dividing by zero). In other words ... If you square a real number you always get a positive, or zero, result. ... x + 7 = 0, x = −7, Integers, set integer.

Step-by-step explanation:

5 0
3 years ago
John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole
ExtremeBDS [4]

Answer:

a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26

Step-by-step explanation:

a. What equation can you use to find the cost c of a sandwich

Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich  + cost of a whole ham sandwich.

total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,

$12.54 = $ 1.65 + c/2 + c

b. What is the value of c

We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c

collecting like terms, we have

$12.54 - $ 1.65 = c/2 + c

$ 10.89 = 3c/2

multiplying through by 2, we have

$ 10.89 × 2 = 3c

$ 21.78 = 3c

dividing through by 3, we have

c = $ 21.78/3

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4 0
2 years ago
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stellarik [79]

Answer:

-22

Step-by-step explanation:

4 + 9 + (16 ÷ 4 - 8 - 3) × 5

= 13 + (4 - 8 - 3) × 5

= 13 - 7 × 5

= 13 - 35

= -22

7 0
3 years ago
List the rational number between -2 and 0
luda_lava [24]
The rational bumber between -2 and 0 is -1
8 0
3 years ago
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