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netineya [11]
3 years ago
11

A car travels 126 miles in 3 hours. At this rate, how many miles can the car travel in 4 hours?

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer:

<h2>A. 168</h2>

Step-by-step explanation:

\bold{METHOD\ 1:}\\\\\begin{array}{ccc}126\ mi&-&3h\\\\x\ mi&-&4h\end{array}\qquad\text{cross multiply}\\\\3x=(126)(4)\\3x=504\qquad\text{divide both sides by 3}\\x=168\ mi

\bold{METHOD\ 2:}\\\\126\ mi\ \text{in}\ 3\ h,\ \text{then}\ \dfrac{126\ mi}{3}=42\ mi\ \text{in}\ 1\ h.\\\\\text{If}\ 42\ mi\ \text{in}\ 1\ h,\ \text{then}\ (42\ mi)(4)=168\ mi\ \text{in}\ 4h.

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Which shows the expression below simplified?
salantis [7]

Answer:

D

Step-by-step explanation:

(7 × 10-7) × 0.06

7 × 0.06 × 10^-7

0.42 × 10^-7

4.2 × 10^-8

7 0
4 years ago
Grandpa Mick opened a pint of ice cream. He gave his youngest grandchild 1/5 of the ice cream and his middle grand child 1/4 of
aliya0001 [1]

Answer:

13/60 was left of the ice cream.

Step-by-step explanation:

4/5 was left after the first, which can also be written as 16/20. 16/20 - 1/4 (also written as 5/20), which leaves 11/20 which can also be written as 33/60. 33/60 - 1/3 (also written as 20/60) which leaves 13/60 left.

5 0
3 years ago
Which shows 542 − 462 being evaluated using the difference of squares method?
tatiyna
The difference of squares method:
a² - b² = (a-b ) (a+b)
54² - 46² = (54+46) · ( 54 + 46 )= 100 · 8 = 800
Answer: B) 
8 0
4 years ago
Read 2 more answers
The sports field at Patton Elementary School is shaped like a rectangle.The field is 72 yards long and 46 yards wide.What is the
svet-max [94.6K]

Answer:

3312 square yards.

Step-by-step explanation:

Given:

The sports field at Patton Elementary School is shaped like a rectangle having:

Length = 72 yards

Breadth = 46 yards

Question asked:

What is the area of the field in square yard ?

Solution:

As here sports field at Patton Elementary School is shaped like a rectangle, thus we will use the formula ;

Area \ of\ rectangle=length \times breadth

                             =72\ yards\times46\ yards\\=3312\ square\ yards

Thus, the area of the  sports field at Patton Elementary School is 3312 square yards.

7 0
3 years ago
Conservationists tagged 120 ​black-nosed rabbits in a national forest in 1990. In 1991​, they tagged 240 ​black-nosed rabbits in
Sauron [17]

Answer:

Hence after period of 9 years from 1990 t0 1999 will be 61438 rabbits.

Step-by-step explanation:

Given:

Population for rabbit obeys exponential law.

120 at 1990 and 240 1991 ...after 1 year time period

To Find:

After 9 year  time period how many rabbits will be there.

Solution:

Exponential law goes on present value and various value and time period and defined as ,

let Y be present value Y0 previous year value  and k exponential constant and t be time period.

So

Y=Y0e^(kt)

Here Y=240  ,Y0=120  t=1 year time period

So

240=120e^(k*1)

240/120=e^k

2=e^k

Now taking log on both side, [natural log]

ln(2)=ln(e^k)

ln(2)=kln(e)

k=ln(2)

k=0.6931

For t=9 year of time period

Y0=120,  t=9  ,k=0.6931

Y=Y0e^(k*t)

Y=120*e^(0.6931*9)

=120e^6.2383

=61438.48

=61438 rabbits

8 0
4 years ago
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