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Lady_Fox [76]
3 years ago
8

How many kilometers will Venus travel in 5 second? In you computations, assume that 1 mile is equal to 1.6 kilometers. Do not ro

und your answers.
Mathematics
1 answer:
Kruka [31]3 years ago
6 0
Venus moves at an approximate speed of 78,341 miles per hour, so we need this to be miles per second for our calculations.
First, divide by 60, as this time is for hours, and 1/60 of an hour is a minute.
78,341/60=1305.68333 miles per minute.
Divide this number by 60 to get 1 second, as there are 60 seconds in a minute.
1305.68333/60=21.7613888 miles per second
Now, multiply this by 5 for the total distance over 5 seconds.
21.7613888*5=108.806944 miles in 5 seconds
Now, we need to convert this distance from miles to kilometers, by multiplying this final answer by 1.6.
108.806944 miles*1.6=174.0911 kilometers in 5 seconds.

Hope this helps!
And I do not think any rounding was completed until the end.  I shortened for the display on this, but I used the infinite decimal in the calculator.
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What integer values satisfy both inequalities?<br><br> −1 &lt; x ≤ 2<br><br> −2 ≤ x &lt; 3
Hunter-Best [27]

Answer:

0, 1 and 2

Step-by-step explanation:

- 1 < x ≤ 2

has solutions x = 0, 1, 2

- 2 ≤ x < 3

has solutions x = - 2, - 1, 0, 1, 2

Thus the values of x that satisfy both are x = 0, 1, 2

3 0
3 years ago
Note: The monthly loan payment was calculated at 119 payments of $232.22 plus a final payment of $231.69. Loan Balance: $20,000.
mash [69]
These are the given to the question above:
Loan Balance: $20,000.00
Loan Interest Rate: 7.00%
Monthly Loan Payment: $232.22
Number of Payments: 120 (10 years)
Cumulative Payments: $27,865.87
Total Interest Paid: $7,865.87

What dollar amount of each monthly payment is interest? $655.49
What percent of the total payments is total interest? 28.22%

It is estimated that you will need an annual salary of at least $27,866.40 to be able to afford to repay this loan. This estimate assumes that 10% of your gross monthly income will be devoted to repaying your student loans
6 0
3 years ago
Read 2 more answers
For a trip, one high school rented and filled 5 vans and 6 buses with 187 students. Another high school instead fit its 176 stud
serious [3.7K]

Answer:

A bus can carry 22 students and a van can carry 11 students.

Step-by-step explanation:

Let the number of students bus can carry be 'b'.

Let the number of students van can carry be 'v'.

Given:

One High school:

Number of bus = 6

Number of vans = 5

Number of students = 187

So we can say that;

Number of bus multiplied by number of students bus can carry plus Number of vans multiplied by number of students van can carry is equal to Number of students.

framing in equation form we get;

6b+5v=187  ⇒ Equation 1

Also Given:

One High school:

Number of bus = 7

Number of vans = 2

Number of students = 176

So we can say that;

Number of bus multiplied by number of students bus can carry plus Number of vans multiplied by number of students van can carry is equal to Number of students.

framing in equation form we get;

7b+2v=176  ⇒ Equation 2

Now multiplying equation 2 by 5  we get;

5(7b+2v)=5\times176

35b+10v=880 ⇒ Equation 3

Now multiplying Equation 1 by 2 we get;

2(6b+5v)=187\times2

12b+10v=374  ⇒ Equation 4

Subtracting equation 4 from equation 3 we get;

35b+10v-(12b+10v)=880-374\\\\35b+10v-12b-10v= 506\\\\23b =506\\\\b =\frac{506}{23} =22\ students

Substituting value of b in equation 2 we get;

7b+2v =176\\\\7\times 22+2v =176\\\\154+2v=176\\\\2v=176-154\\\\2v =22\\\\v =\frac{22}{2}=11\ students

Hence A bus can carry 22 students and a van can carry 11 students.

6 0
3 years ago
Estimate the answer by rounding each fraction to the nearest whole number and then adding. 13 7/10 + 10 1/8
ExtremeBDS [4]

9514 1404 393

Answer:

  24

Step-by-step explanation:

The rounded numbers are ...

  13 7/10 = 13.7 ⇒ 14

  10 1/8 = 10.125 ⇒ 10

The sum of the rounded numbers is 14 +10 = 24.

The estimate of the sum is 24.

7 0
3 years ago
Let f(x) = 2x2 + x − 3 and g(x) = x + 2.<br><br> Find (f • g)(x)
katen-ka-za [31]

Answer:

(f\cdot g)(x) =  2x^3 + 5x^2-x-6

Step-by-step explanation:

We are given the two functions:

f(x)=2x^2+x-3\text{ and } g(x)=x+2

And we want to find:

(f \cdot g)(x)

Recall that this is equivalent to:

=f(x)\cdot g(x)

Substitute. Hence:

(f\cdot g)(x)= (2x^2+x-3)(x+2)

Expand if desired:

\displaystyle = x(2x^2+x-3)+2(2x^2+x-3) \\ \\ = (2x^3+x^2-3x)+(4x^2+2x-6) \\ \\\ = 2x^3 + 5x^2-x-6

3 0
3 years ago
Read 2 more answers
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