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NISA [10]
3 years ago
8

Two buses leave towns 576 kilometers apart at the same time and travel toward each other. One bus travels 12

Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer:

Rate of slower bus; 90 km/h

Rate of faster bus; 102 km/b

Step-by-step explanation:

We know that formula do distance is;

Distance = speed/time

We are told that One bus travels 12h slower than the other.

Let speed of slower bus be x.

Thus;

Speed of faster bus = x + 12

Speed of slower bus = x

After 3 hours, distance by faster bus = 3(x + 12)

Speed of slower bus = 3x

Since the towns are 576 km apart, then;

3(x + 12) + 3x = 576

Divide through by 3 to get;

x + 12 + x = 192

2x + 12 = 192

2x = 192 - 12

2x = 180

x = 180/2

x = 90 km/h

Faster bus speed = 90 + 12 = 102 km/h

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Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!
Andrei [34K]

Answer:

P(\text{Male}|\text{Divorced})\approx0.092

Step-by-step explanation:

\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092

We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is \frac{9.6}{104.5}\approx0.092, the same value.

Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.

7 0
2 years ago
An inheritance of $40,000 is divided among three investments yielding $3,500 in interest per year. The interest rates for the th
a_sh-v [17]

Answer:

 x = $ 16,000  , y = $13,000  z= $11,000

Step-by-step explanation:

given,

Investment amount $40,000

three investments yielding = $3,500

three investments are 7%, 9%, and 11%

second and third are $3,000 and $5,000 less than the first  

        0.07 x + 0.09 y + 0.11 z = $ 3,500  

        x + (x - 3000 ) + (x - 5000) = $ 40,000

           3x = $48,000

             x = $ 16,000

     y = 16000 - 3000 = $ 13,000

     z = 16000 - 5000 = $ 11,000

the investment by each

 x = $ 16,000  , y = $13,000  z= $11,000

4 0
3 years ago
PLZ HELP ASAP
Aleksandr [31]

Answer:


Step-by-step explanation: the answer is most definietly b



7 0
3 years ago
Read 2 more answers
Working out the question<br>​
Blizzard [7]

Answer: ∠AOB = 100°

Step-by-step explanation:

This is found in the circle geometry. The theorem in solving this stated that the angle which an arc of a circle subtends at the centre  of the circle is twice that which  it subtends at any point on the remaining part of the circumference of the circle

Therefore

∠AOB = 2 x ∠ACB

           = 2 x 50°

           = 100°

     

7 0
3 years ago
The curve y = ax^2 + bx + c passes through the point (2, 32) and is tangent to the line y = 4x at the origin. Find the values of
Arada [10]
We are given the general formula of the curve of y = ax2 + bx + c. The tangen line at the origin is y = 4x. This eliminates the second term in which the derivative should be reflected as a constant. Since when the derivative of the first term is 4x, then a should be 2. From the points, c should be equal to 24.
8 0
3 years ago
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