A person can walk 3 1/4 miles in one hour. How many miles can the person walk in 1 3/4 hours?

1 answer:

3 0

Since Emily is walking at a constant speed, we can solve this using proportions, equating ratios of distance/time.

The first ratio is 3/4 miles/1/4 hour
The second ratio is 1 mile/ x hour

Equating the two ratios: 3/4 / 1/4 = 1/x
3 = 1/x
x = 1/3 hour

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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?

timama [110]

The Mean Value Theorem:
If a function is continuous on [ a, b ] and differentiable on ( a , b ) than there is a point c in ( a, b ) such that:
f ` ( c )= ( f ( b ) - f ( a ) ) / ( b - a )
f ` ( c ) = ( f ( 2 ) - f ( 0 ) ) / ( 2 - 0 )
f `( x ) = 10 x - 3
f ` ( c ) = 10 c - 3
2 f ` ( c ) = 16 - 2
f ` ( c ) = 7
7 = 10 c - 3
c = 1
Answer:
Yes, the function is continuous on [ 0, 2 ] and differentiable on ( 0, 2 ).

4 0

3 years ago

Brownies are now on sale. Each brownie costs $0.20 less than the original price. Right now, if you buy 8 of them it will cost $1

Airida [17]

Answer: The original price of brownie was $2.1 each.

Step-by-step explanation:

since we have given that

Let the original price will be x

Number of brownie purchased = 8

According to question , each brownie costs $0.20 less than the original price.

So, it becomes

$8\times (x-0.20)=\$15.20\\\\8x-1.6=15.20\\\\8x=15.20+1.60\\\\8x=16.8\\\\x=\frac{16.8}{8}\\\\x=\$2.1$