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4 years ago

Petra jogs 5 miles in 40 minutes. At this rate, how long would it take her to jog 7 miles?

2 answers:

8 0

You could write and solve an equation of ratios:

5 mi 7 mi
------------ = ----------
40 min x

Then 5x = 280, and x = 56. Petra can jog 7 miles in 56 minutes.

Wittaler [7]4 years ago

6 0

(40 min)/(5 mi) = (time)/(7 mi) . . . . . the rates are the same
(7/5)*(40 min) = time = 56 min

At the same rate, it would take Petra 56 minutes to jog 7 miles.

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Which answer shows y + 2x < 4x-3

vaieri [72.5K]

y + 2x < 4x - 3 <em>subtract 2x from both sides</em>

y < 2x - 3

y = 2x - 3

for x = 0 → y = 2(0) - 3 = 0 - 3 = -3 → (0, -3)

for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1)

dotted line and shading below a line

8 0

3 years ago

Read 2 more answers

The cost function for q units of a certain item is C(q)equals109 q plus 90. The revenue function for the same item is R(q)equa

Tcecarenko [31]

Answer:

a) $109

b) $P(q) = \frac{45q}{ln(q)} +90$

c) $$11.20$

Step-by-step explanation:

a) The marginal cost, or the cost per additional unit, is given by the derivate of the cost function:

$C(q) = 109q+90\\C(q) = \$109$

b) Profit is given by Revenue minus Cost:

$P(q) = R(q) - C(q)\\P(q) = \frac{45q}{ln(q)} +90$

c) The marginal profit for 8 units, is given by the difference in profit for 9 units and 8 units:

$M = P(9)-P(8)\\M= \frac{45*9}{ln(q)} +90 - (\frac{45*8}{ln(8)}+90 )\\M=\$11.20$

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3 years ago

Write five ordered pairs in a table to represent a relation that is not a function.

QveST [7]

Answer:

Therefore, the relation of the given ordered pairs does NOT represent a function as that x-coordinate values are repeated.

Step-by-step explanation:

We know that a relation is basically a set of input and output values, which are expressed in ordered pairs.

A relation may have any set of ordered pairs.

We also know that a function is a set of ordered pairs in which each x-element has only one y-element associated with it.

Consider the five ordered pairs

x y

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3 -4

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4 6

5 7

The relation is: {(–2, 1), (3, –4), (–2, –6), (4, 6), (5, 7)}

From the table, it is clear that x-coordinate values are repeated.

In other words, x = -2 twice.

Therefore, the relation of the given ordered pairs does NOT represent a function.

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3 years ago

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STatiana [176]

First find the new coordinates for P and Q after the translations:

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3 years ago

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fredd [130]

Answer:

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Step-by-step explanation:

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