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2 years ago

Which number is equivalent to 7/8

Mathematics

1 answer:

PtichkaEL [24]2 years ago

6 0

Answer:

78 is 7 divided by 8, which equals 0.875. So an equivalent fraction is another fraction that also equals 0.875.

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K=mv^2/2 solve for v

matrenka [14]

Answer: $v=\sqrt[]{\frac{2K}{m} }$

Step-by-step explanation:

$K=\frac{mv^2}{2}$

First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;

$2*K=\frac{mv^2}{2}*2$

$2K=mv^2$

Divide by m to isolate $v^2$ .

$\frac{2K}{m}=\frac{mv^2}{m}$

$\frac{2K}{m} =v^2$

To eliminate the square and isolate v, extract the square root.

$\sqrt[]{\frac{2K}{m} }=\sqrt[]{v^2}$

$\sqrt[]{\frac{2K}{m} }=v$

let's rewrite it in a way that v is in the left side.

$v=\sqrt[]{\frac{2K}{m} }$

4 0

2 years ago

The price of one share of a stock fell $12.50 each day for 8 days. Which expression represents this situation?

lys-0071 [83]

12.50 x 8 = 100 This is the answer

6 0

3 years ago

Read 2 more answers

The diagram below gives the dimensions of a swimming pool. 18 ft , 20ft, 36ft (c) What is the total area of the swimming pool? E

WARRIOR [948]

The picture in the attached figure

Part 1) What is the total area of the swimming pool?

we know that
area of the swimming pool=area rectangle-area semi circle

area rectangle=20*36-----> 720 ft²

area semicircle=pi*r²/2
r=18/2----> 9 ft
area semicircle=pi*9²/2----> 127.17 ft²

area of the swimming pool=720 ft²-127.17 ft²----> 592.83 ft²

the answer Part 1) is
The area of the swimming pool is 592.83 ft²

Part 2) What is the perimeter of the swimming pool?

perimeter of the swimming pool=perimeter of rectangle-18 ft+perimeter semi circle
perimeter of rectangle=2*[20+36]---> 112 ft

perimeter semi circle=2*pi*r/2----> pi*r
r=9 ft
perimeter semi circle=pi*9----> 28.26 ft
so
perimeter of the swimming pool=112 ft-18 ft+28.26 ft----> 122.26 ft

the answer Part 2) is
122.26 ft

6 0

3 years ago

TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and

slavikrds [6]

Answer:

91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50 cm

Standard Deviation, σ = 5 cm

We are given that the distribution of length of a newborn baby is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X<x) = 0.99

We have to find the value of x such that the probability is 0.99

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 50}{5})=0.99$

Calculation the value from standard normal table, we have,

$P(z$

$\displaystyle\frac{x - 50}{5} = 2.326\\x = 61.63$

Thus, 99% of newborn babies will have a length of 61.63 cm or less.

There is a safety margin of 15 cm on each end of the bassinet

Length of bassinet =

$61+63 + 15 +15 = 91.63\text{ cm}$

6 0

2 years ago

A train traveled 63.75 miles at a rate of 85 miles per hour. Which equation can be used to find h, the number of hours it took t

sashaice [31]

Answer: 63.75 = 85h

Solving gives 0.75 hours.

Step-by-step explanation:

we now that speed = distance / time

therefore time will be Distance / speed

Given that distance = 63.75miles

Speed= 6=85miles per hour

Time(h) = 63.75miles/ 85.---- equation 1

But from the options given, the equation that can also be used to find number of hours is

63.75 = 85h

such that making h subject of formula still give us

h= 63.75/85 as in equation 1 above

solving gives that Time ( h) = 0.75 hours .

8 0

2 years ago