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suter [353]
3 years ago
13

Examine the system of equations.

Mathematics
2 answers:
MakcuM [25]3 years ago
8 0

Answer:

\boxed{\boxed{\sf x=-3}}

Step-by-step explanation:

\sf y = -3x - 2

\sf y=7

We'll substitute y into the equation:

\sf 7 = -3x - 2

Switch sides:

\sf -3x-2=7

Add 2 to both sides

\sf -3x-2+2=7+2

\sf -3x=9

Divide both sides by -3:

\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}

\sf x=-3

Therefore, the value of x/solution is -3

________________________________________

mezya [45]3 years ago
5 0

Answer:

The value of x is  

✔ –3

The solution to this system of equations is  

✔ (–3, 7)

Step-by-step explanation:

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The Fruitz fruit and vegetable shop is selling grapes at a price which is 10% cheaper than the Happy Fruiterer fruit and vegetab
sdas [7]

Answer:

(a) It costs $55 at Happy Fruiterer

(b) It will cost $49.64

(c) It is cheaper at Happy Fruiterer the second week

Step-by-step explanation:

Since Fruitz shop sells as 10% less than Happy Fruiterer at $50

10% more of $50 = 50 × 10/100 + 50

= $5 + $50 = $55

(a) n Kg of grapes will cost $55 at Happy Fruiterer

(b) if Happy Fruits discounts $55 by 5%, we will have

55 × 5/100 = 2.75

that is $55 - $2.75 = $52.25

If it is discounted further at 5% more the following week, we will have

$52.25 × 5/100 = $2.6125

≈ $2.61

Then the new price for the 2nd week is $52.25 - $2.61

= $49.64

(c) at the second wee of discounting, Fruitz shop still sells at $50 will Happy Fruiterer now see at $49.64. Therefore, it is cheaper at Happy Fruiterer

8 0
3 years ago
Help on this question
malfutka [58]

Step-by-step explanation:

always write what you know

circumference

U = 2 x pi x r

r = d/2

U = 39.25

rearrange and solve for r

U / (2 x pi) = r

solve for diameter

2r = d

6 0
3 years ago
Help pls it is in the picture
Genrish500 [490]

Answer:

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Step-by-step explanation:

5 0
2 years ago
If EFGH is a parallelogram, what is the value of x?
Leokris [45]
To be a parallogram the 2 angles shown need to equal 180 degrees
 
so we have: 34 + (4x-2) = 180

 now we can solve for x

34 + 4x -2 = 180

simplify the left side by subtracting 2 from 34

32+4x =180

subtract 32 from each side:

4x = 148

divide both sides by 4 to get x

x = 148 / 4 

x = 37 

The answer is B





5 0
3 years ago
Suppose that a box contains one fair coin (Heads and Tails are equally likely) and one coin with Heads on each side. Suppose fur
stealth61 [152]

Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.

Conditional Probability

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Event A: Three heads.
  • Event B: Fair coin.

The probability associated with 3 heads are:

  • 0.5^3 = 0.125 out of 0.5(fair coin).
  • 1 out of 0.5(biased).

Hence:

P(A) = 0.125 + 0.5 = 0.625

The probability of 3 heads and the fair coin is:

P(A \cap B) = 0.5(0.125) = 0.0625

Then, the conditional probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1

0.1 = 10% probability that the chosen coin was the fair coin.

A similar problem is given at brainly.com/question/14398287

4 0
3 years ago
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