Multiply. write the product as a mixed number 3×3/5

Answers

Answer 1

Answer: 3 x 3/5

Steps in multiplying fractions:
3 is a fraction that is 3/1

3/1 * 3/5

1) multiply numerators: 3 * 3 = 9
2) multiply denominators: 1 * 5 = 5
3) simplify fraction:
3 x 3/5 = 9/5
9/5 = 1 4/5

Answer 2

Answer: Hi There!

To do this problem you must multiply the fraction!

Steps
1. Determine The number you multiply

2. first multiply 3*3

3. After you solve step two, you should get 9

4. You're answer should 9/5

5. Now change the answer to a mixed number

6. To do this you have to divide 5 by 9

7. you should get 1 R 4

8. The one will be your whole number and the 4 will be your numerator, the denominator stays the same

9. You're final answer should be 1 4/5

So, 3*3/5 multiplied, will be 1 4/5

Hope This Helps!

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A bus goes from town A to B in an exact time. If the bus goes at the rate of 50km/h, then it will arrive B 42min later than it had to and if it increases its speed 5.5/9 m/sec., it will arrive B 30min earlier. Find:A) The distance between the two towns;
B) The exact time that it takes to arrive town B
C) The speed of the bus(by schedule) for the exact time.

Answers

Let the speed of bus for the exact time = x km/h
the distance between the cities = y km
then the exact time would be, t hours = (y/x) hours

If the bus goes at the rate of 50km/h, then it will arrive B 42min later,
speed = 50 km/h
42 minutes = 42/60 hours = 7/10 hours = 0.7 hours
time taken = t+0.7
distance = speed×time
⇒ y = 50×(t+0.7)
⇒ y = 50t + 35 ---------------------(1)

it increases its speed 5.5/9 m/sec, it will arrive B 30min earlier.
5.5/9 m/s = (5.5/9)×(18/5) km/h = 2.2 km/h
30 minutes = 30/60 = 0.5 hour
speed = (x+2.2) km/h
time = (t - 0.5) hours

distance = speed×time
⇒ y = (x+2.2)×(t-0.5)
⇒ y = ((y/t) +2.2)×(t-0.5) (t = y/x)
⇒ y = y - 0.5 (y/t) + 2.2t - 1.1
⇒ 0.5 (y/t) - 2.2t + 1.1 = 0   (subtracting y from both sides)
⇒ (y/t) - 4.4t - 2.2 = 0    (dividing both sides by 0.5)
⇒ y - 4.4t² - 2.2t = 0    (multiplying both sides by t)
⇒ 50t + 35 - 4.4t² - 2.2 t = 0 (from equation 1)
⇒ -4.4t² + 35 + 47.8t = 0
⇒ 4.4t² - 47.8t - 35 = 0

solving the quadratic equation, we get t = 11.55 hours
y = 50t + 35 = 612.5 km
x = 612.5/11.55 = 53 km/h

A) 612.5 km
B) 11.55 hours
C) 53 km/h

The Logic Defined:

1 Minute=t, (a unit of time)

Time (By schedule)=nt, (n>0), nt=number of minutes

Metre(s)=m

Speed=s (in metres per minute), s=[distance in metres]/[time in minutes]

Distance=d (in metres), d=[speed in metres per minute]*[time in minutes]

---------------------------------------------

Statement (1):

"If the bus goes at the rate of 50km/h, then it will arrive B 42min later than it had to."

Conclusion 1:

$\frac { 50km }{ h } =\frac { 50,000m }{ 60t } =\frac { 2,500m }{ 3t } \n \n \therefore \quad \frac { 2,500m }{ 3t } =nt+42t\n \n \frac { 2,500m }{ 3t } =t\left( n+42 \right)$

$\n \n 2,500m=3{ t }^( 2 )\left( n+42 \right) \n \n m=\frac { 3{ t }^( 2 )\left( n+42 \right) }{ 2,500 }$

Statement (2):

"if it increases its speed 5.5/9 m/sec., it will arrive B 30min earlier."

Conclusion 2:

$\frac { 5.5m }{ 9\quad seconds } =\frac { 5.5m }{ \frac { 9 }{ 60 } t } =\frac { 110m }{ 3t }$

$\n \n \therefore \quad \frac { 110m }{ 3t } =nt-30t\n \n \frac { 110m }{ 3t } =t\left( n-30 \right) \n \n 110m=3{ t }^( 2 )\left( n-30 \right)$

$\n \n m=\frac { 3{ t }^( 2 )\left( n-30 \right) }{ 110 }$

Conclusion 3, because of conclusion 1 and 2:

$\frac { 3{ t }^( 2 )\left( n-30 \right) }{ 110 } =\frac { 3{ t }^( 2 )\left( n+42 \right) }{ 2,500 } \n \n 7,500{ t }^( 2 )\left( n-30 \right) =330{ t }^( 2 )\left( n+42 \right) \n \n 7,500\left( n-30 \right) =330\left( n+42 \right)$

$\n \n 7,500n-225,000=330n+13,860\n \n 7,500n-330n=13,860+225,000\n \n 7,170n=238,860\n \n n=\frac { 238,860 }{ 7,170 } \n \n \therefore \quad n=\frac { 7962 }{ 239 }$

Therefore,

$Time\quad by\quad schedule=\frac { 7962 }{ 239 } t\n \n Approx:\quad 33.3\quad mins$

Now we want to find the distance between the two towns, so we say that:

$d=\frac { 2,500m }{ 3t } \cdot \left( \frac { 7962 }{ 239 } t+42t \right) \n \n =\frac { 2,500m }{ 3t } \cdot \frac { 18,000 }{ 239 } t$

$\n \n =\frac { 45,000,000 }{ 717 } m\n \n Approx:\quad 62,761.5\quad metres\n \n In\quad km\quad (approx):\quad 62.761\quad km$

So now you want to know how fast the bus has to travel to get to its destination on time...

Use the formula: s=d/t

Therefore:

$s=\frac { \frac { 45,000,000 }{ 717 } m }{ \frac { 7962 }{ 239 } t } \n \n Approx:\quad 1,883.9\quad metres\quad per\quad minute$

Please answer 123 and show work thanks

Answers

1:d 2:T F T T 3:a hope this helps

Write the fractional form and decimal form for the rational number represented on each number line

Answers

question 28:

-2/5 = -0.40

question 29:

20 1/3 = approx 20.333 (the 3 repeats forever)

5. L1. Tisha collects old books. She has
2 shelving units, and each shelving
unit has 3 shelves. Each shelf holds
12 books. If both shelving units are
filled with books, how many books
does Tisha have in all

Answers

Tisha have 72 books in all.

Step-by-step explanation:

Given,

Number of shelving units = 2

One shelving unit has 3 shelves.

2 shelving units will have = 3*2 = 6 shelves

Books hold by each shelf = 12 books

Books hold by 6 shelves = 12*6 = 72 books

As the shelves are filled with books, therefore,

Tisha have 72 books in all.

Keywords: multiplication

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Tanya opened a savings account with a deposit of 550.she deposited 450 and withdrew 120.yesturday, Tanya deposited 720 into her account. What percentage of the new balance was the deposit?

Answers

550+450-120+720=1,600
720/1,600*100%
=720/160%
=45%
therefore, 45% of new balance

Can someone plz answer this . its due tomorrow

Answers

Circumference of Earth = Pi* Diameter= 3.1415926536X7926Miles=24,900.3Miles

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