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ss7ja [257]
3 years ago
9

Help ill give you 25 points

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Answer:

  • 7

Step-by-step explanation:

<u>3n+2 is divisible by p:</u>

  • 3n + 2 = px

<u>8n+3 is divisible by p:</u>

  • 8n + 3 = py

<u>Solve each equation for n:</u>

  • n = (px - 2)/3
  • n = (py - 3)/8

<u>Eliminate n and solve for p:</u>

  • (px - 2)/3 = (py - 3)/8
  • 8(px - 2) = 3(py - 3)
  • 8px - 16 = 3py - 9
  • 8px - 3py = 7
  • p = 7/(8x - 3y)

As we see p could get 1 or 7 as natural number. Since 1 is excluded, the only solution is 7, and 8x - 3y must equal to 1.

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[100 POINTS]!!
Eva8 [605]
1sqmeter=100x100=100000sqcm
in 1sqcm there are 23/100=.23 grass plants
Therefore, there will be .23x100000=2300 grass plants in a sq.meter
5 0
3 years ago
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The coordinates of a triangle's vertices are A(2, 4), B(3, 1), and C(5, 5). The triangle undergoes a translation 4 units to the
AlekseyPX
South west

Shifting 4 units left (decreasing in x-axis by 4 units)
Shifting 5 units down (decreasing in y-axis by 5 units)

Apply to every vertices coordinates(x - 4, y - 5)

New coordinates

A(-2, -1)
B(-1, -4)
C(1,0)
5 0
3 years ago
Seven hamburgers and four sodas cost $27.35. Four hamburgers and five sodas cost $18.75
Doss [256]

Answer:

equations:

7x + 4y = 27.35

4x + 5y = 18.75

Step-by-step explanation:

x = burgers

y = sodas

---------------------------------

7x + 4y = 27.35

4x + 5y = 18.75

5 0
3 years ago
Find the missing side of the right triangle. Leave answer in
Romashka [77]
<h3>Hello There!!</h3>

<h3><u>Given</u>:-</h3>

Altitude (AB) = 6cm

Base (BC) = 8cm

<h3><u>To Find</u></h3>

Hypotenuse (AC) = ?

\fbox \text{According To Pythagoras Theorem = }

\text{(Hypotenuse)² = (Altitude)² + (Base)²}

Inserting The Values

\text{(Hypotenuse)²} =(  {6})^{2}  + (8) {}^{2}

(\text{AC}) {}^{2}  = (6) {}^{2}  + (8) {}^{2}  \\   \implies \text{(AC)} {}^{2}  = 36 + 64 \\   \implies\text{AC} =  \sqrt{100}  \\  \implies\text{AC} = 10 \\  \\  \therefore  \text{Hypotenuse (AC)} = 10 \text{cm}

Correct Option D= <em>10cm</em><em> </em>

<h3>Hope this helps</h3>
7 0
2 years ago
Please help!
Aleks [24]

Answer:

Probability of picking an even and then even number = \frac{1}{6}

Step-by-step explanation:

Probability of picking a card with even number,

P(even 1) = \frac{\text{favorable outcomes}}{\text{Total outcomes}} = \frac{\text{even cards}}{\text{Total number of cards}}

               = \frac{2}{4}

               = \frac{1}{2}

Followed by picking a card which is even without putting the first card back.

So an even card is to be picked out of remaining 3 cards.

P(even 2) = \frac{\text{favorable outcomes}}{\text{Total outcomes}}

                = \frac{1}{3}

Now probability of both events = P(even 1) × P(even 2)

= \frac{1}{2}\times \frac{1}{3}

= \frac{1}{6}

Therefore, probability of both the events will be \frac{1}{6}.

5 0
3 years ago
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