Perform the following food service calculation.

Mathematics

2 answers:

kumpel [21]2 years ago

4 0

69 is the CORRECT answer

OWare

Paul [167]2 years ago

3 0

Answer:C

Step-by-step explanation:

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Gina rides her bike to work at an average of 10.4 miles per hour. She bikes 1.2 hours each day. How many miles does Gina ride ea

tatiyna

So 10.4mi = 1 hour

We need to find out how many miles 1.2 hours is.

1.) Well, the first step would be to multiply 1.2 on both sides of:
10.4mi = 1 hour

because that would make this number of miles is = to 1.2 hours which is wha we're looking for

1.2(10.4) mi = 1.2 hour

2.) Simplify
12.48 mi = 1.2 hour

3.) That means Gina rides 12.48 miles each day if she rides for 1.2 hours each day at a pace of 10.4 miles per hour :)

8 0

2 years ago

Suppose x is a real number and epsilon > 0. Prove that (x - epsilon, x epsilon) is a neighborhood of each of its members; in

kaheart [24]

Answer:

See proof below

Step-by-step explanation:

We will use properties of inequalities during the proof.

Let $y\in (x-\epsilon,x+\epsilon)$ . then we have that $x-\epsilon$ . Hence, it makes sense to define the positive number delta as $\delta=\min\{x+\epsilon-y,y-(x-\epsilon)\}$ (the inequality guarantees that these numbers are positive).

Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that $(y-\delta,y+\delta)\subseteq (x-\epsilon,x+\epsilon)$ , and if we prove this, we are done. To prove it, let $z\in (y-\delta,y+\delta)$ , then $y-\delta$ . First, $\delta \leq y-(x-\epsilon)$ then $-\delta \geq -y+x-\epsilon$ hence $z>y-\delta \geq x-\epsilon$

On the other hand, $\delta \leq x+\epsilon-y$ then $z$ hence $z$ . Combining the inequalities, we have that $x-\epsilon$ , therefore $(y-\delta,y+\delta)\subseteq (x-\epsilon,x+\epsilon)$ as required.