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masya89 [10]
3 years ago
8

A swim race has a total distance of 25 mi . Race officials want to mark the course every 500 yd with a buoy, including one at th

e finish line. (The starting line does not need a buoy.) How many buoys are needed
Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

I believe 88 buoys

Step-by-step explanation:

The race is 25 miles long and theirs a buoy every 500 yards

There are 44000 yards in 25 miles

44000 (yards) divided by 500 (yards) is 88 (buoys).

500 yards      44000 yards

--------------- =  --------------------

1 buoy              x buoys

Going diagonally, 1 × 44000 is 44000.

44000 ÷ 500 = x

x = 88

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Alex drew a scale drawing of an auditorium. He used the scale 3 inches = 2 feet. If the stage is 30 inches in the drawing, how w
White raven [17]

Answer:

20 feet

Step-by-step explanation:

The scale is 3 inches is to 2 feet

As a ratio, it would be:

\dfrac{3}{2}

The question is what is the actual length of the stage if the drawing is 30 inches. All we need to do is find a ratio proportional to the scale ratio:

\dfrac{3inches}{2feet} = \dfrac{30inches}{xfeet}

Now to find the missing number, cross multiply the fractions first:

\dfrac{3}{2}=\dfrac{30}{x}

(3)(x)=(2)(30)

3x=60

Then solve for x:

3x=60

x=\dfrac{60}{3}

x=20

The answer is 20 feet

8 0
3 years ago
Express 194720 in standard form correct to 3 significant figures<br>​
ELEN [110]

Answer:

1.95 x 10^5

Step-by-step explanation:

First look at the 4th digit in the number 194720 as the the question said to round to 3 significant figures. If the 4th digit is more than 5, then add 1 to the third digit which results in 195000. Now the question also said to express in standard form. Look for the first non-digit number in 195000. After 1 put a decimal point and remove all the zeros after the point which results in 1.95. Now count how many digits you moved to the left which comes as 5. Write the answer as 1.95 x 10^5.

Hope you can understand this!!

3 0
2 years ago
You make 42,500 and your spouse makes 37750 . using the 20% to 25% range , calculate the least and the greatest amount you shoul
Zepler [3.9K]
If you make 42,500 and your spouse makes 37750, then using the 20% to 25% range, the least and the greatest amount you should spend on housing is $50,00. The correct answer to the following given statement above is 50 dollars.
8 0
3 years ago
Figure a is dilated by a scale factor of 1/2 to form figure b. What is the length of x?
PIT_PIT [208]

Answer:

The correct option is 3. The value of x is 8 inches.

Step-by-step explanation:

It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.

\text{scale factor}=\frac{\text{Side of image}}{\text{Side of preimage}}

\frac{1}{2}=\frac{x}{16}

Multiply both sides by 16.

\frac{16}{2}=x

8=x

Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.

The length of x is 8 inches. Therefore the correct option is 3.

3 0
3 years ago
Read 2 more answers
Find f (x) = -2x+9 when x=-10
Pani-rosa [81]

Answer:

29

Step-by-step explanation:

1. plug in -10 for x

-2(-10) + 9

2. multiply -2 x -10 = 20

20 + 9

3. add 20 + 9 = 29

7 0
3 years ago
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