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3 years ago

Lisa walked 8 km more than Tim. Lisa walked twice as far as Tim. How far did each walk?

1 answer:

6 0

$x-\ Tim's\ distance\\\\
x+8-\ Lisa's\ distance\\\\
2x=x+8\ \ |Subtract\ x\\
2x-x=8\\
x=8\ \ -Tim\\
x+8=8+8=16- \ Lisa\\\\Lisa\ walked\ 16\ km\ and\ Tim\ 8km.
$

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20000000000×3-100000

Blababa [14]

Answer:

59999900000

Step-by-step explanation:

20000000000 × 3 = 60000000000

60000000000 - 100000 = 59999900000

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3 years ago

Jada walks up to a tank of water that can hold up to 10 gallons.When it is active, a drain empties water from the tank at a cons

worty [1.4K]

Answer:

Part A)The amount of water in the tank is changing at -2/3 gallons per minute. 

Part B) it will take 7.5 minutes for the tank to drain completely.

Part C) The water tank was completely full 4.5 minutes before Jada arrived.

Step-by-step explanation:

Information fetching:

Tank of water can hold up-to 10 gallons.

When it is active, a drain empties water from the tank at a constant rate.
7 gallons of water present in the tank when Jade first saw
5 gallons of water left after 3 minutes

Part A) At what rate is the amount of water in the tank changing?

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be -2/3 gallons per minute. Hence, the amount of water in the tank is changing at -2/3 gallons per minute. 

Note: negative sign indicates the number of gallons of water are decreasing.

Part B) How many more minutes will it take for the tank to drain completely.

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

m = 5 (3/2)

= 15/2

= 7.5 minutes

So, it will take 7.5 minutes for the tank to drain completely.

Part C) How many minutes before Jada arrived was the water tank completely full

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

(2/3) (m) = 3

m = 3(3/2) = 9/2

= 4.5 minutes

So, the water tank was completely full 4.5 minutes before Jada arrived.

Keywords: time rate of change, time

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3 years ago

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults. The number of adult tickets sold was 195 more than the n

Maurinko [17]

Answer: number of tickets sold to adult = 566

Step-by-step explanation:

Let x = number of tickets sold by DCHS to students.

Let y = number of tickets sold DCHS to adults.

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.

This means cost of total tickets sold to students and adults is $3x and $5y respectively.

If DCHS collected $3943 for the tickets, then we have

3x + 5y = 3943 - - - - - -1

The number of adult tickets sold was 195 more than the number of student tickets. This means

y = x +195.

Put y = x +195 in equation 1

3x + 5(x+195) = 3943

3x + 5x + 975= 3943

8x +975=3943

8x = 3943-975= 2968

x = 2968/8 = 371

y = 371 + 195= 566

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3 years ago

.The sum of the angles of a polygon is 900⁰ .How many sides does it have

DanielleElmas [232]

Answer:

heptagon

Step-by-step explanation:

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3 years ago

Which rate is the lowest price?

m_a_m_a [10]

a. 1.15

b. 6.20 divided by 4 = 1.55

c. 5 divided by 4 = 1.25

d. 5.50 divided by 5 = 1.1

D is correct

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3 years ago

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