All categories

3 years ago

Rewrite the fraction as a decimal. -82/5

2 answers:

8 0

Rewrite the fraction

- 82/5

as a decimal.

First, express it as a mixed number.

5 goes 16 times into 82, because 16 * 5 = 80, and you have a remainder of 2. So

- 82/5

= - [ 80/5 + 2/5 ]

= - [ 16 2/5 ]

= - [ 16 + 2/5 ]

Now, multiply both numerator and denominator of that proper fraction by 20, so you get a new fraction whose denominator is a power of ten (100 in this case):

= - [ 16 + (2 * 20)/(5 * 20) ]

= - [ 16 + 40/100 ]

But.40/100 = 0.4. So it is

= - [ 16 + 0.4 ]

= - 16.4 <----- this is the answer.

I hope this helps. =)

dlinn [17]3 years ago

3 0

You can just multiply the top and the bottom by 2, to get the bottom to be 10. So you get -164/10. From here you can see that 10 goes into 164,16.4 times.

Therefore, -82/5 = -16.4

You might be interested in

Solve the system of equations by substitution. What is the solution for x?

insens350 [35]

Answer:

x=0.875

Step-by-step explanation:

2×+y=1

y=0.5

4×+2y=-1

4×+2.5=-1

1+2.5=4x

3.5=4x

x=0.875

5 0

3 years ago

Evaluate square root 16 minus x when x = 8. Write the answer in simplified radical form.

PtichkaEL [24]

Answer -4
___
-/ 16 = 4 X=8

4-8= -4

3 0

3 years ago

Read 2 more answers

Please help me with 2 and 3 and use the elimination process!

grandymaker [24]

Answer:

2. Judy =$5

Ben= $4

Step-by-step explanation:

2. Let Judy = x and Ben = y

8x + 10y = 80

9x + 5y = 65

Solve these simultaneous equations.

8 x + 10 y = 80

18 x + 10 y = 130

Take the second equation away from the first equation

− 10 x = − 50

x = 5

This means that Judy gets paid $5 an hour.

Therefore, Ben gets paid $4 an hour.

Answer:

3. 24 quarters and 16 dimes

Step-by-step explanation:

3. Let the number of dimes = x and the number of quarters = y

Value Value

Type Number of of

of of EACH ALL

coin coins coin coins

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

dimes x $0.10 $0.10x

quarters y $0.25 $0.25y

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

TOTALS 40 $7.60

x + y = 40

0.10x + 0.25y = 7.60

Get rid of decimals by multiplying every term by 100:

10x + 25y = 760

So we have the system of equations:

x + y = 40

10x + 25y = 760

We solve by substitution. Solve the first equation for y:

x + y = 40

y = 40 - x

Substitute (40 - x) for y in 10x + 25y = 760

10x + 25(40 - x) = 760

10x + 1000 - 25x = 760

-15x + 1000 = 760

-15x = -240

x = 16 = the number of dimes.

Substitute in y = 40 - x

y = 40 - (16)

y = 24 quarters.

$1.60 + $6.00 = $7.60

I hope that helped, sorry for taking so long :-)

8 0

3 years ago

Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s a

Nimfa-mama [501]

Answer:

Step-by-step explanation:

When Riko left his house, Yuto was 5.25 miles along the path.

Average speed of Riko = 0.35 miles per minute

Average speed of Yuto = 0.25 miles per minute

First we will calculate the time in which Riko will catch Yuto on the track.

Relative velocity of Riko as compared to Yuto will be = velocity of Riko - velocity of Yuto

= 0.35 - 0.25

= 0.10 miles per minute

Now we this relative velocity tells that Riko is moving and Yuto is in static position.

By the formula,

Average speed = $\frac{Distance}{Time}$

0.10 = $\frac{5.25}{t}$

t = $\frac{5.25}{0.1}$

t = 52.5 minutes

Now we know that Rico will catch Yuto in 52.5 minutes. Before this time he will be behind Yuto.

So duration of time in which Rico is behind Yuto will be 0 ≤ t ≤ 52.5

Here time can not be less than zero because time can not be with negative notation. It will always start from 0.

3 0

3 years ago

Read 2 more answers

Bert measured a swimming pool and made a scale drawing. The scale of the drawing was

Cerrena [4.2K]

1/100
Each meter is 100 centimeter

8 0

3 years ago