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earnstyle [38]
2 years ago
11

It took boat to travel from pier A to pier B 5 hours going upstream. It made the return trip downstream in 3 hours and 30 minute

s. What is the distance between two piers, if the speed of the current is 3 mph?
Mathematics
2 answers:
aleksley [76]2 years ago
8 0
Distance =  speed * time
Upstream
d = 5 * (x - 3)
Downstream
d = 3.5(x + 3)        where d = distance beween piers  and x =  speed of the boat
    Equating:-
5x - 15 = 3.5x + 10.5
1.5x = 25.5
so x =   17 mph 

so d = 5(17) - 15 = 85-15  = 70 miles Answer
Assoli18 [71]2 years ago
4 0
9.5 miles, I think. (If not, I'm sorry!)
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Chandresh is helping his father paint the fence in their back yard. The fence is represented by the shaded part of the diagram b
Lyrx [107]

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = (length)(width)= (20)(8) =160,

The area of the 10 feet long wall = (length)(width)= (10)(8) =80,

The area of the 5 feet long wall = (length)(width)= (5)(8) =40,

The area of the 4 feet long wall = (length)(width)= (4)(8) =32,

The area of the 15 feet long wall = (length)(width)= (15)(8) =120.

The area of all the walls = 432 square feet.

Since there are two sides for every wall, total area = 432(2)=864 square feet.

Step 3:

If one paint can covers 500 square feet,

the number of cans required to paint 864 square feet = \frac{864}{500} = 1.728 cans.

so 2 paint cans are needed to paint 864 square feet which is option B.

7 0
2 years ago
Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of butterfl
MrRa [10]

Incomple question. However, here's the remaining part of the question:

14

2009

Meadow Fritillary= 5

Variegated Fritillary= 7

Zebra Swallowtail= 33

Eastern-Tailed Blue= 242

Louden County Butterfly Count

2010

Meadow Fritillary 34

Variegated Fritillary 95

Zebra Swallowtail 21

Eastern-Tailed Blue 168

2011

Meadow Fritillary

Variegated Fritillary

Zebra Swallowtail

Eastern-Tailed Blue

10

170

<u>Options</u>:

A) All butterfly populations are steadily decreasing.

B)All butterfly populations were larger than usual in 2010.

C)The Eastern-Tailed Blue butterfly is more common than the others.

D)The Meadow Fritillary is equally common as the Variegated Fritillary

Answer:

<u>C</u>

Step-by-step explanation:

Looking through the above count data by Louden County Wildlife Conservancy from 2009 to 2011 we notice the Eastern- Trailed Blue butterfly has a higher count, which implies that the Eastern-Tailed Blue butterfly is more common than the other butterflies.

Therefore, we could infer from the samples, that the Eastern-Tailed Blue butterfly is more common than others from the records of the past 3 three years.

5 0
2 years ago
Annie is running a trail that is 4 1/2 miles long. She ran the first 2/3 of the distance. Then the trail became very steep, so s
qwelly [4]

Answer:

Annie walked 1 11/12 miles

Step-by-step explanation:

Trail= 4 1/2 miles

Annie ran the first 2/3 miles

Remaining miles= Total miles - Miles covered first

= 4 1/2 - 2/3

= 9/2 - 2/3

= 27-4 / 6

= 23/6 miles

Remaining miles = 23/6 miles

Annie walked for 1/2 of the remaining distance

1/2 of the remaining miles= 1/2 × 23/6

=23 / 12

= 1 11/12

Annie walked 1 11/12 miles

5 0
2 years ago
Sarah loves farmers’ markets, but hates that they only accept cash. On one recent trip, she splurged on a $15.69 jar of honey. T
tamaranim1 [39]

Answer:

$29

Step-by-step explanation:

1) Write all of the prices in a single column:

$15.69

$3.45

 $1.75

$0.98

$0.55

 $6.15

2) Round all of the items to the nearest dollar:

$16

$3

$2

$1

$1

$6

3) Add all of the values:

$29

5 0
2 years ago
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