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3 years ago

8

The cost of 9 scarves is $96.75. What is the unit price?

1 answer:

qaws [65]3 years ago

8 0

Answer:

$10.75 per scarf

Step-by-step explanation:

Take the price and divide by the number of scarves.

$96.75 / 9 scarves

$10.75 per scarf

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What 2 numbers multiply to be -14 and add to be -3

Svetach [21]

Xy = -14
x + y = -3

$xy = -14$
$\frac{xy}{x} = \frac{-14}{x}$
$y = \frac{-14}{x}$

$x + y = -3$
$x + \frac{-14}{x} = -3$
$\frac{x^{2}}{x} + \frac{-14}{x} = -3$
$\frac{x^{2} - 14}{x} = -3$
$x^{2} - 14 = -3x$
$x^{2} + 3x - 14 = 0$
$x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}$
$x = \frac{-3 \± \sqrt{9 + 56}}{2}$
$x = \frac{-3 \± \sqrt{65}}{2}$
$x = \frac{-3 \± 8.06}{2}$
$x = -1.5 \± 4.03$
$x = -1.5 + 4.03$ $or$ $x = -1.5 - 4.03$
$x = 2.53$ $or$ $x = -5.53$

  x + y = -3
2.53 + y = -3
- 2.53 - 2.53
  y = -5.53
  (x, y) = (2.53, -5.53)

x + y = -3
  -5.53 + y = -3
+ 5.53   + 5.53
  y = 2.53
  (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

8 0

3 years ago

At noon, the temperature in Tempest, California was

Gala2k [10]

Answer:

The change was 18 ° F

Step-by-step explanation:

We know that:

At noon, the temperature in Tempest, California was 78°F

At midnight the temperature is: 60°F.

To find the temperature drop, subtract the temperature of noon with the temperature at midnight.

$Change= 78\°F - 60\°F = 18\°F$

<h3>The change was 18 ° F</h3>

4 0

3 years ago

In a school contest, each student draws a number from 1 to 5 out of a large basket. The outcomes are shown in the table below.

12345 [234]

Answer:

The answer is 88/407

Step-by-step explanation:

Their are 5 possible outcomes 1/83, 2/79, 3/88, 4/72, and 5/85. Trust me its 88/407

4 0

3 years ago

Read 2 more answers

Review the table.

Lynna [10]

Answer:

The function that models the scenario is given as follows;

$P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$

Step-by-step explanation:

The table of values are presented as follows;

The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5

The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100

Imputing the given functions from the options into Microsoft Excel, and

$A = P(t) = \dfrac{250}{1 + 24 \cdot e^{-0.5 \cdot t}}$

$B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$

$C = P(t) = \dfrac{750}{1 + 74 \cdot e^{-0.5 \cdot t}}$

$D = P(t) = \dfrac{1000}{1 + 99 \cdot e^{-0.5 \cdot t}}$

solving using the given values of the variable, t, we have;

P t A B ${}$ C D

10 ${}$ 0 ${}$ 10 ${}$ 10 ${}$ 10 ${}$ 10

16 ${}$ 1 ${}$ 16.07021 16.27604 16.34583 ${}$ 16.38095

26 ${}$ 2 ${}$ 25.43466 26.2797 26.574 26.72363

42 ${}$ 3 ${}$ 39.33834 41.89929 42.82868 43.30901

66 ${}$ 4 ${}$ 58.85058 65.51853 68.09014 69.45316

100 ${}$ 5 ${}$ 84.17395 99.55866 106.0177 109.5721

Therefore, by comparison, the function represented by $B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}$ most accurately models the scenario.

7 0

3 years ago

Read 2 more answers

PLEASE HELP FAST! 20 POINTS!!!

Sedbober [7]

Answer:

27%

Step-by-step explanation:

3/11 = 0.27272727

so about 27%

3 0

2 years ago

Read 2 more answers