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Virty [35]
4 years ago
15

during the first second of take off a rocket travelled 208 km in 50 mins at a constant rate suppose a penny is dropped from a sk

yscraper and could travel 153 km in 1/2 an hour at a constant rate which of these have a faster unit rate per hour ? how much faster?
Mathematics
2 answers:
olga2289 [7]4 years ago
8 0
56.4 km/ hr is the answer
mash [69]4 years ago
3 0

Answer:

The penny :- 56.4 km/hr faster.

Step-by-step explanation:

Rate per hour of the rocket =  (208 * 60) / 50 = 249.6 km/hr.

Rate per hour for the penny =   153 * 60 / 30 = 306 km/hr.

The penny travels faster by 306 - 249.6

= 56.4 km/hr.

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Evaluate the expression 4^3+(96/8)*5)-48 =
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Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2
Artyom0805 [142]

Answer:

Step-by-step explanation:

Given the two inequalities:

y \ge 2x + 1\\ y \le 2x - 2

To graph them, first of all, let us write their corresponding equations:

y = 2x + 1 \\y = 2x - 2

We now find at least 2 points each which satisfy the equations to plot the graph.

Equation y = 2x + 1:

Putting x = 0, y = 1

Putting y = 0, x = -\frac{1}2.

Two points are (0, 1) and (-\frac{1}2, 0).

Equation y = 2x -2:

Putting x = 0, y = -2

Putting y = 0, x = 1.

Two points are (0, -2) and (1, 0).

Now, let us plot them.

Let us take a point (1, 4) and check whether it satisfies the first inequality.

4 \ge 2 \times 1 +1\\\Rightarrow 4 \ge 3

Which is true.

So, The shaded region will be <em>towards point (1,4).</em>

<em></em>

Let us take a point (1, 4) and check whether it satisfies the second inequality.

4 \le 2 \times 1 -2\\\Rightarrow 4 \le 0\ [\bold{False}]

So, The shaded region will be <em>opposite to point (1,4).</em>

Please refer to the attached graph for the answer.

<em>No solution exists for them because there is no common shaded region</em>.

3 0
4 years ago
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