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DedPeter [7]
3 years ago
9

The table represents the number of milkshakes sold by a restaurant since they were added to the menu.

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer: the answer to this is A

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The width of a rectangle is the length minus 5 units. The area of the rectangle is 6 units. What is the width, in units, of the
kifflom [539]

Width of the rectangle is 1 unit

Step-by-step explanation:

  • Step 1: Let the length of the rectangle be x. Then the width = x - 5. Find dimensions of the rectangle if its area = 6 sq. units

Area of the rectangle = length × width

6 = x (x - 5)

6 = x² - 5x

x² - 5x - 6 = 0

x² - 6x + x - 6 = 0 (Using Product Sum rule to factorize)

x(x - 6) + 1(x - 6) = 0

(x - 6)(x + 1) = 0

x = -1, 6 (negative value is neglected)

x = 6 units

x - 5 = 1 unit

6 0
3 years ago
The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. Suppose that V=160
dsp73

Answer:

Volume = 90 cm³

Step-by-step explanation:

Given:

The volume 'V' of a fixed amount of gas is directly proportional to the temperature 'T' and inversely proportional to the pressure 'P'.

Initial volume is, V_1=160\ cm^3

Initial temperature is, T_1=320\ K

Initial pressure is, P_1=12\ kg/cm^2

Final temperature is, T_2=240\ K

Final pressure is, P_2=16\ kg/cm^2

Final volume is, V_2=?

As per question:

V\propto\frac{T}{P}

Therefore,

\frac{PV}{T}=Constant

Or, we can write the above as:

\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\\\\\frac{12\times 160}{320}=\frac{16\times V_1}{240}\\\\6=\frac{V_1}{15}\\\\V_1=15\times 6=90\ cm^3

Therefore, the final volume is 90 cm³.

7 0
3 years ago
Classify the following triangle.
PtichkaEL [24]

Answer:

Isosceles obtuse Triangle

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Zinaida [17]

Answer:

z=20 and y=38

Step-by-step explanation:

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Two objects are ________ when they have the same size and shape. What’s the blank?
iren2701 [21]

Answer:

I think the answer is 'congruent'. :)

Step-by-step explanation:

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3 years ago
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