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3 years ago

17. Ennis has a length of rope that measures 3 3/4 yards. He cuts all of the

Mathematics

1 answer:

UNO [17]3 years ago

8 0

Answer:

3 cuts

Step-by-step explanation:

if you take 3 3/4 -3/4 =3 2 cuts would give 3 yard size strips but you need to cut the 3/4 off so there would be 3 cuts for four pieces of rope

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Tom rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a factor of 21.

Ber [7]

The probability of getting a total that is a factor of 21 is 0.22

<u>Explanation:</u>

Factor of 21 is = 1, 3, 7, 21

Out of all the factors of 21, we cannot get 21 when the two die are rolled as the maximum sum that can be obtained is 12

The possible combinations are:

(1,2) (1,6)

(2,1) (2,5)

(3,4)

(4,3)

(5,2)

(6,1)

Total outcome = 6 X 6

= 36

Number of outcomes that is the factor of 21 is 8

The probability of getting a total that is a factor of 21 is $\frac{8}{36}$

p(21) = 0.22

Therefore, the probability of getting a total that is a factor of 21 is 0.22

5 0

3 years ago

8 meters increased by 25%

satela [25.4K]

8m x 125% = 10 meters

or

8m * 25% = 2m

Increasd by: meaning addition thus, add 25% of 8 to 8.

8m + 2m = 10 meters.

5 0

3 years ago

Read 2 more answers

5 weeks = _____days

Gennadij [26K]

1 week is 7 days.
5 times 7 is 35.
35 days.

4 0

4 years ago

Read 2 more answers

The dishes have been sorted into cups and plates. The number of plates is four less than two times the number of cups. The dishe

Nady [450]

Answer:

The number of cups = 8 ....

Step-by-step explanation:

Let x be the number of cups

Let y be the number of plates

According to the given statement:

y=2x-4 This is equation 1

Now,

60% = 0.60

y=0.60(x+y) This is equation 2

Now substitute equation 1 in equation 2.

y=0.60(x+y)

2x-4=0.60(x+2x-4)

2x-4=0.6x+1.2x-2.4

Solve the like terms:

2x-4=1.8x-2.4

2x-1.8x=4-2.4

0.2x=1.6

x=1.6/0.2

x= 8 cups

Therefore the number of cups = 8 ....

7 0

3 years ago

Consider the two lines l1:x=−2t,y=1+2t,z=3tl1:x=−2t,y=1+2t,z=3t and l2:x=−8+4s,y=0+5s,z=5+1sl2:x=−8+4s,y=0+5s,z=5+1s find the po

seraphim [82]

At the point of intersection, the coordinates are the same:

... (x, y, z) = (-2t, 1+2t, 3t) = (-8+4s, 5s, 5+s)

We only need two of the coordinates to solve for the values of s and t. Using the x- and y-coordinates, we have

... 4s + 2t = 8 . . . . . . x2 - x1 = 0, in standard form

... 5s -2t = 1 . . . . . . . y2 - y1 = 0, in standard form

Adding these equations gives 9s=9, so s=1. Substituting into either equation gives t=2.

Using the expression for l1 with t=2, the point of intersection is

... (-2·2, 1+2·2, 3·2) = (-4, 5, 6).

_____

We could have stopped after finding the value of s, because that defines the point. By finding the value of t, we can check the solution to make sure that l1 and l2 both give the same point for the respective values of s and t. (They do.)

8 0

3 years ago