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creativ13 [48]
2 years ago
12

Tara goes on a weekend road trip to see her best friend Natosha Tara lives in Memphis Tennessee and Natasha lives in Nashville w

hich are 212 miles apart if Tara drove 65 mph about how long will it take her to get to Nashville? Round your answer to the nearest hour
If both Natasha and Tara drive halfway to meet at a rate of 60 mph what would be the exact amount of time it would take for them to reach each other?
Mathematics
1 answer:
Sloan [31]2 years ago
7 0

Answer:

It will take Tara 3 hours to get to Nashville. If they meet, it would take them 1 hour and 46 minutes or 1.766 hours.

Step-by-step explanation:

Divide 212 miles by 65 mph: 212÷65=3.2 and 3.2 rounded is 3. They will each drive half the way if they meet in the middle, so 212 miles divided by 2 is 106. Divide that by 60: 106/60=1.766. That is equivalent to 1 hour and 46 minutes.

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#6 - Calculate the monthly payment necessary to retire the following loan
klemol [59]

9514 1404 393

Answer:

  A)  $1350

  B)  $5850

  C)  $162.50

Step-by-step explanation:

A) The interest is given by the formula ...

  I = Prt

where P is the principal amount, r is the interest rate, and t is the number of years.

  I = $4500×0.10×3 = $1350

The interest owed is $1350.

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B) At maturity, the principal and interest are due. That amount is ...

  $4500 +1350 = $5850

The maturity value is $5850.

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C) If the maturity value is paid in 36 equal monthly installments, each is ...

  $5850/36 = $162.50

The monthly payment is $162.50.

4 0
2 years ago
WILL MARK THE BRAINLEIST Find the surface of the rectangle prism ,show all of your work
trapecia [35]
The answer is 108 as your surface area.

Work:
To find surface area, you find the area of each side and add it all together. For the bottom and the top sides, it’s 6 x 3 which equals to 18. 18 + 18 = 36. Then, 3 x 4 = 12. 12 + 12 = 24. 6 x 4 = 24. 24 + 24 = 48. Then, you add it all together which equals to 108. If what I did doesn’t makes sense, I’ll explain it more detailed here.

So, I found the area of the bottom side and multiplied it by 2 to represent the top and bottom sides. Then, I did the same thing for the other sides if that makes sense. I’m really sorry if I’m not explaining it well. I’m better at doing the work in my head and not on paper or explaining it to other people.

Anyway, hope this helps!
3 0
2 years ago
Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using
kozerog [31]

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Given

9x + 3y = 12

We require to rearrange expressing y in terms of x

Subtract 9x from both sides

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4

Expressed in functional notation by replacing y by f(x), that is

f(x) = - 3x + 4

8 0
2 years ago
Triangle ABC has vertices A (1,1), B (3,2) and C (0,-2), It is dilated by a scale factor of 1/2 about the origin to create trian
Ghella [55]

Answer:

The length is 2.5 units

Step-by-step explanation:

Before we find the value of the length of the side, we need the measure of the coordinates after dilation

B’ = 1/2 B = 1/2(3,2) = (1.5, 1)

C’ = 1/2 C = 1/2( 0,-2) = (0,-1)

The measure of the length is the distance between the two points

Mathematically, that would be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(0-1.5)^2 + (-1-1)^2

D = √(2.25 + 4)

D = √6.25

D = 2.5 units

8 0
2 years ago
System by elimination <br><br>2x - y = -3 <br>-2x - 8y = 12​
topjm [15]

Answer:

x= -2 y= -1

Step-by-step explanation:

stack the 2 equations on top of each other and add them together

the 2x and -2x cancel out and you are left with -9y=9

this gives you y= -1

you plug the y value into one of the equations:

2x - (-1) = -3

2x+1 = -3

2x= -4

x= -2

7 0
2 years ago
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