Which unit rate is equivalent to 504 miles per 12 hours?

Mathematics

1 answer:

Juli2301 [7.4K]4 years ago

8 0

Answer:

42mph

Step-by-step explanation:

divide 504 into 42

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Evaluate 3 7 r + 5 8 s 7 3 r+ 8 5 sstart fraction, 3, divided by, 7, end fraction, r, plus, start fraction, 5, divided by, 8

bazaltina [42]

Answer:

Therefore the value of given expression when r = 14 and s = 8 is

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=11$

Step-by-step explanation:

Given:

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s$

To Find:

Value of above equation when r = 14 and s = 8

Solution:

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s$ .............Given

Put,

$r=14\\s=8$

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=\dfrac{3}{7}\times 14 + \dfrac{5}{8}\times 8$

Now 7 × 2 = 14 and 8 will cancel each other we get

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=3\times 2 + 5=6+5=11$

Therefore the value of given expression is

$\dfrac{3}{7}\times r + \dfrac{5}{8}\times s=11$

8 0

3 years ago

Graph each absolute value function. State the domain, range, and y-intercept.

SVEN [57.7K]

Answer:

The domain is $(-\infty,\infty)$ and its range is $[3,\infty).$

The y-intercept is (0,3).

Step-by-step explanation:

Consider the parent function $y=|x|.$ Its domain is $x\in (-\infty,\infty)$ and its range is $y\in [0,\infty).$

The graph of the function $y=|x|+3$ is obtained from the graph of parent function by translation 3 units up (see diagram). This translation doesn't change the domain and will change the range of the function, thus the domain is $(-\infty,\infty)$ and its range is $[3,\infty).$