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hoa [83]
3 years ago
14

Kenzie finds purple, blue, and silver space rocks while exploring, 2/3 of the rocks are purple and 3/4 of the remainder are blue

. If there are 3 silver rocks, how many space rocks does Kenzie have?a
Mathematics
2 answers:
WINSTONCH [101]3 years ago
5 0
Ídek I wish I can help you sorry
Nadya [2.5K]3 years ago
3 0

Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

If 2/3 are purple, then 1/3 of them are not.

If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.

2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

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Answer:

7 1-yard rolls

Step-by-step explanation:

1 yard = 36 inches.

6(42 in) = 252 inches.

252 in/36 in = 7

Therefore, 7 1-yard rolls are needed.

8 0
3 years ago
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The function intersects its midline at (-1.25,-3) and a maximum point at (0,4) Find a formula for f(x) Give an exact expression.
stellarik [79]

Answer:  y = 7cos(0.4π x) - 3

<u>Step-by-step explanation:</u>

The equation of a cosine function is:    y = A cos(Bx - C) + D    where

  • Amplitude (A) is the distance from the midline to the max (or min)
  • Period (P) is the length of one cosine wave   -->   P = 2π/B
  • Phase Shift (C/B) is the horizontal distance shifted from the y-axis
  • Midline (D) is the vertical shift. It is equal distance from the max and min

<u>Midline (D) = -3</u>

(-1.25, -3) is given as a point on the midline.  We only need the y-value.

<u>Horizontal stretch (B) = 0.4π</u>

The max is located at (0,4) and also at (5, 4).  Thus the period (length of one wave) is 5 units.

P=\dfrac{2\pi}{B}\qquad \rightarrow \qquad 5=\dfrac{2\pi}{B}\qquad \rightarrow \qquad B=\dfrac{2}{5}\pi          →     B = 0.4π

<u>Phase Shift (C) = 0</u>

The max is on the y-axis so there is no horizontal shift.

<u>Amplitude (A) = 7</u>

The distance from the midline to the max is: A = 4 - (-3) = 7

<u>Equation</u>

Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.

            y = A cos(Bx - C) + D

            y = 7cos(0.4π x - 0) - 3

            y = 7cos(0.4π x) - 3

3 0
3 years ago
1/3x² + x+5/3x² = 1/9<br><br>HAHAHAHA......​
mr_godi [17]

Answer:

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This is because b² −4ac=1−4×5×3

=−59 (roots are imaginary)

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2x²+7x−4=0

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7 0
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Ne4ueva [31]

Answer: 1 club - Club 2

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You can find the monthly rates by deducting the cost at 12 months from the cost at 24 months and dividing it by 12.

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= $108                                          = $90                                  = $126

<em>Same as total cost at              </em><u><em> Joining fee of $30</em></u><em>;      </em>         <em>No joining fee as </em>

<em>6 months so no joining            120 - 90 = $30                      this is the same </em>

<em>fee.                                                                                           as total cost at 6 </em>

<em>                                                                                                 months.</em>

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zaharov [31]

Answer:

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Step-by-step explanation:

When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary

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4 years ago
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