A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water

1.221 x 1/100 =<br> answer with the product. Correct answer will be awarded with branliest

Vladimir79 [104]

Answer:

0.1221

Step-by-step explanation:

8 0

3 years ago

A raft and a motorboat simultaneously leave from the same point and move down the river. After 2 hours the motorboat turns aroun

lesya692 [45]

Answer:

2 hours

Step-by-step explanation:

Let x mph be the speed of motorboat in still water and y mph be the speed of current.

A raft and a motorboat simultaneously leave from the same point and move down the river, then speeds down the river are:

motorboat = x + y mph

raft = y mph

In two hours they will cover:

motorboat = 2(x+y) miles

raft = 2y miles

After 2 hours the motorboat turns around and starts moving towards the raft (against the current), so its speed is now x - y mph.

Let t be the time they move towards each other. In t hours, they cover

motorboat = t(x - y) miles

raft = ty miles

The distance from the starting point to the turning point is the same as the sum of the distances the raft covers and the motorboat covers after turning around, so

$2(x+y)=2y+t(x-y)+ty \\ \\2x+2y=2y+tx-ty+ty\\ \\2x=tx\\ \\t=2\ hours$

6 0

3 years ago

Sheila plans to row across the lake from point A to point B as shown below. to determine how far she will have to row, she has c

larisa [96]

What is supposed to be shown below?

~Lexi

6 0

3 years ago

A golf tournament has five rounds. The players are given scores for each round based on how many strokes they are above or below

Sedaia [141]

Answer:

(A) ∫₁⁵[Xₙ + k] where n ranges from 1 to 5

(B) 73.6

Step-by-step explanation:

The question is clear enough. Kudos!

So there are many players but we're focusing on Ricky.

Ricky has already recorded his score for each of the 5 rounds in the tournament.

The number of strokes in Ricky's record are to be added to or subtracted from a given number 72

ROUND 1: [72 - 5] strokes = 67

ROUND 2: [72 + 6] strokes = 78

ROUND 3: [72 - 2] strokes = 70

ROUND 4: [72 + 4] strokes = 76

ROUND 5: [72 + 5] strokes = 77

(A) Write an expression to represent Ricky's total number of strokes for the five rounds.

Do not panic at this first exercise. You are to write an expression which when evaluated, will give the total number of strokes for all five rounds!

You are already given an abstract number '72' to work with in this question.

It is a fixed quantity which influences the value of strokes for each round.

We will represent this by an algebra, if we have to create the above required expression.

The expression will then be:

∫₁⁵[Xₙ + k] where n ranges from 1 to 5

You already know that the sigma sign '∫' represents summation and that's summation from the subscript '1' to the superscript '5'.

X₁ would be -5, X₂ would be +6, X₃ would be -2, X₄ would be +4, X₅ would be +5

K is the constant 72

(B) What was Ricky's average number of strokes per round?

Out of the 5 rounds, the average number of strokes per round would be

[67 + 78 + 70 + 76 +77] ÷ 5

= 368/5 = 73.6

6 0

2 years ago

The scores of five students on a quiz are 11, 21, 16, 7, and 10. Find the mean and median of the scores.

photoshop1234 [79]

Hello!

The mean is the average. To calculate it you add up all the numbers, and divide by how many numbers there were. So for example, if you had 1 and 3, you would add them and divide by two since there were two numbers. We will calculate the mean of this data set below.

(11+21+16+7+10)=65
65/5=13

The mean of the data set is 13.
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Now we need to find the median. To do so we have to first order all of the numbers from least to greatest.

7,10,11,16,21

Now we have to find the number in the middle of the data set.

11 is our median. (Note that when calculating the median with an even number of data points, you will find the mean of the two center numbers)

I hope this helps!

4 0

3 years ago