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Allisa [31]
3 years ago
6

Len and Faye live 54 miles apart. At the same time, they start biking toward each other on the same road. Len's constant rate is

7 mph and Faye's is 11 mph. How many hours will it take them to meet?
A. 2
B. 3
C. 4
D. 5
Mathematics
2 answers:
Aloiza [94]3 years ago
5 0

Answer:

Step-by-step explanation:

Len and Faye live 54 miles apart. At the same time, they start biking toward each other on the same road. Len's constant rate is 7 mph and Faye's is 11 mph. How many hours will it take them to meet? [Remember: D = (r)(t)]

 Answer – 3 hours

 D = (r)(t), Where

‘D’ is the distance covered

‘r’ is the approach rate

‘t’ is the total time spent

 Distance covered, ‘D’ =  miles

Approach rate, “r” = mph + mph 7+11

r =  18

t is unknown

 Solving for t,

 D = (r)(t)

54 = 18t

t = 54/18

t = 3 hours

maria [59]3 years ago
5 0

Answer:

3

Step-by-step explanation:

I got it right on my test

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Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

b+d=50,000 this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds b is $5,000 more than twice the amount Daniela put into the CD, we have:

b=5,000+2d.

Thus, we have two equations and two unknowns b and d:

(1). b+d=50,000

(2). b=5,000+2d,

and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

With the value of d in hand, we now solve for b from equation(2):

b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

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Answer:

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Step-by-step explanation:

To find the area, we will follow the steps below.

First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.

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From the question given, circumference C = 23π

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Formula for calculating the area of a circle is given by;

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A = π ( \frac{23}{2} )²

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