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tia_tia [17]
3 years ago
6

Enrico is filling his pool. The pool has 3,000 gallons of water now. The water hose used by Enrico puts 500 gallons per hour in

the pool. Write an equation for the amount of gallons and water in the pool after x hours. Identify the slope and the intersection in y.
Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

6

Step-by-step explanation:

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In a city, 15% of the bus riders with a monthly pass are students. In a random sample of 50 bus riders with monthly passes, 12 a
EastWind [94]
P=0.15

P^ is the sample proportion which comes from the data

In this case the p^=12/50=0.24
4 0
3 years ago
Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were rulers. The cost
kobusy [5.1K]

Answer:

Isabelle spent $52.50 more on Erasers than rulers.

Step-by-step explanation:

Step 1

Find the quantity of each stationery bought in fraction

Let us represent the total fraction of what Isabelle bought as: x

1/3x = quantity of pencils bought

5/8 of the remainder = quantity of erasers bought

The remainder = x - 1/3x = 2/3x

5/8 of 2/3x = 5/8 × 2/3x = 5/12x

Hence, 5/12x = quantity of erasers bought

The rest is rulers

1 - (1/3 + 5/12)

1 - (4 + 5/12)

1 - 9/12

1 - 3/4

= 1/4x

Hence, 1/4 = quantity of rulers bought.

Step 2

We find the number of stationeries that Isabelle bought.

The cost of the stationery is

a Pencil: $1.20

an eraser: $1

a ruler: $0.50.

Total amount spent on stationery = 169.50

We have this equation

1.20 × 1/3x + 1 × 5/12x + 0.50 × 1/4x = 169.50

0.4x + 0.4166666667x + 0.125x =

169.50

0.9416666667x = 169.50

x = 169.50 /0.9416666667

x = 179.99999999

Approximately , the number of stationeries that Isabelle bought = x = 180

Step 3

Find the number and the amount spent on each stationery that Isabelle bought

a) i) Quantity of pencils bought = 1/3 x

x = 180

= 1/3 × 180

= 60 pencils

ii) Amount spent on pencils

If 1 pencil = $1.20

60 pencils =

60 × 1.20 = $72

b) i) Quantity of Erasers bought = 5/12x

x = 180

= 5/12 × 180

= 75 pencils

ii) Amount spent on Eraser

If 1 pencil = $1

75 pencils =

75 × 1 = $75

c) i) Quantity of rulers bought = 1/4 x

x = 180

= 1/4 × 180

= 45 pencils

ii) Amount spent on pencils

If 1 pencil = $0.50

45 pencils =

45 × 0.50 = $22.50

Step 4

We were asked to calculate how much more did she spend on erasers than rulers.

In step 3, the amount spent on Erasers = $75

the amount spent on ruler = $22.5

The difference in the amount spent = $75 - $22.5

= $52.5

Therefore, Isabelle spent $52.50 more on Erasers than rulers.

3 0
3 years ago
Can someone please help me with this?
podryga [215]

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

Tangents to a circle from the same point are the same length.

  43 -2x = 12x +1

  42 = 14x . . . . . . . add 2x-1

  3 = x  . . . . . . . divide by 14

4 0
3 years ago
Help me I need answers?:
JulsSmile [24]

Answer:

46.5 cm

Step-by-step explanation:

63 ÷ 2= 31.5 + 15 = 46.5

4 0
3 years ago
Which function has an inverse that is also a function?
natali 33 [55]

Answer:

Which function has an inverse that is also a function

7 0
2 years ago
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