Jhon went to the cinema to watch a film at quarter past 3. The film lasted for an hour, What time did he leave?

The perimeter of a rectangle is 70. The length of the rectangle is represented by (x+3) and the width is represented by (3x-8).

otez555 [7]

Answer: length = 13

Width = 22

Step-by-step explanation:

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length × width)

The length of the rectangle is represented by (x+3) and the width is represented by (3x-8). If the perimeter of a rectangle is 70, it means that

2[(3x - 8) + (x + 3)] = 70

Dividing both sides of the equation by 2, it becomes

3x - 8 + x + 3 = 35

3x + x - 8 + 3 = 35

4x - 5 = 35

4x = 35 + 5 = 40

x = 40/4

x = 10

Length = x + 3 = 10 + 3

Length = 13

Width = 3x - 8 = 3 × 10 - 8

Width = 22

4 0

3 years ago

It costs $6.50 to become a member of a company that streams movies. With a membership, it costs $2.40 to stream each movie. Paul

Nata [24]

6.5+2.4x is less than or equal to 20
He can watch 5 movies without going over $20
6.5+2.4(5)

8 0

3 years ago

Chris puts one tenth of each paycheck into savings. Her current paycheck is $200. She decides to also put into savings, any amou

lions [1.4K]

Using given information we have to fill the blank spaces for respective parts:

Part(A): Original ratio of saved to total money per paycheck

Answer: $\frac{20}{200}$

Explanation: Original payment was 200 and saving amount is 1 tenth which is 200*(1/10)=20. Hence ratio is 20/200

Part(B): Final ratio of saved to total money per paycheck___________________

Answer: $\frac{x+20}{x+200}$

Explanation: He also saved money more than 200 represented by x so the new ratio becomes (x+20)/(x+200)

Part(C): Final amount saved per paycheck______________________________

Answer: x+20

Explanation: Final saving is just 20 and extra money over 200 so final saving is (x+20).

8 0

3 years ago

A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou

Y_Kistochka [10]

Answer:

The distance between two cities is 60 miles.

Step-by-step explanation:

Time taken to travel from B to A = 2 hours

Time taken to travel from A to B = 1.5 hours

Current speed = 5 mph

Let the speed of ferry in still water = u mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = $(u+5)\ mph$

While moving against the current, speed = $(u-5)\ mph$

Formula for Distance = Speed $\times$ Time

Distance traveled in each case is same i.e. D.

So,

$D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph$

Now,

$D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}$

So, the distance between two cities is 60 miles.

6 0

3 years ago

In April, a Jamaican tourist changed JM $50,000 into American currency. Calculate the amount of US dollars he received. USD $1.0

suter [353]

Answer:

USD $342.47

Step-by-step explanation:

For these kinds of questions, I like to use what I call the 'I want... If' method. I'll walk you through my thought process. Essentially, when I write my formula, I think, 'I want to find out how many US dollars I can receive from JMD $50,000 if JMD $146 is USD $1.

Essentially, the 'I want to find out... $50,000' part goes in the nominator of a fraction. 'If JMD $146' goes in the denominator of the same fraction. Then, add a multiply operator and finally 'is USD $1' goes after the operator.

In working, it looks like this:

JMD $ $\frac{50000}{146}$ x USD $1 = USD $342.4657534247 = USD $342.47 (To 3 s.f.)

7 0

3 years ago