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3 years ago

Last week Maria ran 19 miles less than Arjun. MAria ran 8.7 miles. How many miles did Arjun run?

Mathematics

1 answer:

kolezko [41]3 years ago

8 0

Answer:

22.7 miles

Step-by-step explanation:

19+8.7=22.7

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Cindy is designing a rectangular fountain in the middle of a courtyard. the rest of the courtyard will be covered in stone. The

vovikov84 [41]

Http://prntscr.com/anjj1k

I saw the image that should accompany the above problem.

Courtyard: Length=22 ft; Width = 12 ft
Fountain: Length = 6 ft; Width = ?

Area of the courtyard = 22 ft * 12 ft = 264 square feet
Part of the courtyard covered with stone has an area of 246 square feet.

Area of the fountain = 264 square feet - 246 feet = 18 square feet.

A) Width of the fountain.
Area of the fountain = Length * width
18 square feet = 6 ft * w
18 sq.ft / 6ft = w
3 ft = width

B.) Fraction of the area of the courtyard will be occupied by the fountain.

Area of the fountain: 18 square feet
Area of the courtyard: 264 square feet

18/264 = 3/44

18 ÷ 6 = 3
264 ÷ 6 = 44

6 0

4 years ago

Ronald Dairo is helping the local indus-

nadya68 [22]

Answer:

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

Step-by-step explanation:

Papaya rosette pieces on first day = 5890

Papaya rosette Pieces on second day = 7020

Papaya rosette Pieces of third day = 8150

Let

$a_1 = 5890\\a_2 = 7020\\a_3 = 8150$

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

$d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130$

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

$a_n = a_1+(n-1)d$

Putting the values

$a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n$

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

$a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580$

Hence,

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

5 0

3 years ago

Which ratio forms a proportion with 18/30? A. 20/35; B. 50/90; C. 36/48; D. 60/100.

almond37 [142]

The answer if D
100 divided by 30 times 18 equals 60

6 0

3 years ago

If it takes 1,800 foot- pounds of work to push a rock fifteen feet, what amount of force was used?

ella [17]

Answer:

120 lbs

Step-by-step explanation:

Work = force * distance

1800 ft-lb = force * 15 ft

force = 1800 ft-lb / 15 ft

=1800/15 ft-lb/ft

=120lbs

6 0

4 years ago

A passenger on a bus walks towards the back of the bus at 3.0 km/h relative to the bus, while the bus travels south at 15 km/h.

liq [111]

The correct answer is E

7 0

4 years ago