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olganol [36]
3 years ago
12

A student is solving the system of equations below. In which line is a mistake first made?

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

line 1

Step-by-step explanation:

because

3x + 2y + z = 11 ➡ z = 11 - 3x - 2y

3x and 2y must change sign when transfer to other sid eof equation

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Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card. What is the probabilit
DaniilM [7]

Answer:

\frac{1}{208}

Step-by-step explanation:

We have been given that Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card.

Let us find probability of getting a club.

\text{ Probability of getting a club}=\frac{13}{52} =\frac{1}{4}

Now let us find probability of getting the ace of spades.

\text{ Probability of getting ace of spades}=\frac{1}{52}

Now let us multiply these to find probability of getting a club and ace of spades.      

\text{ Probability of getting a club and then ace of spades}=\frac{1}{4}*\frac{1}{52}=\frac{1}{208}

Therefore, probability of getting a club and then the ace of spades \frac{1}{208}.

8 0
3 years ago
Is 11.47723 rational or irrational?
Dima020 [189]

the answer is irrational

8 0
3 years ago
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Given STUV is a rectangle. Which of the following proves △WVS≅△WUT?
arsen [322]

Option B is the correct answer.

ΔWVS ≅ ΔWUT

Solution:

Given STUV is a rectangle.

To prove that ΔWVS ≅ ΔWUT:

Step 1: Given STUV is a rectangle.

Step 2: All the angles in the rectangle are right angles.

So that, ∠V = ∠U = 90°

Step 3: ∠V ≅ ∠U (Angle)

Step 4: All rectangles are parallelograms.

Therefore STUV is a parallelogram.

Step 5: In parallelogram opposite sides are congruent.

Therefore, SV ≅ TU (Side)

Step 6: Given WV ≅ WU (Side)

Step 7: From step 3, step 5 and step 6

ΔWVS ≅ ΔWUT by SAS congruence rule.

Option B is the correct answer.

3 0
3 years ago
A rock outcrop was found to have 78.88% of its parent u-238 isotope remaining. approximate the age of the outcrop. the half-life
Alla [95]

Answer:

Answer:1.5*10^9 years

Step-by-step explanation:

The half life of the substance is given i.e 4.5B years. You can change it into seconds by multiplying it with 365 and 86400.

The current no of particles is given 78.88% which will be equal to 78.88 if you assume the substance had 100 no of particle initially.

Determine the decay constant by dividing 0.69 by half life

use these values in the equation for the answer.

[ln and e are inverse functions to eachother]

6 0
2 years ago
I need help I’m graphing this please help out
Rudik [331]

Answer:

Step-by-step explanation:

5 0
2 years ago
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