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Andru [333]
3 years ago
5

35 POINTS - question 31 please!

Mathematics
1 answer:
ryzh [129]3 years ago
5 0

Area is Length x width:

(2x+5) * x = 420

Distributive property:

2x^2 +5x = 420

Subtract 420 from both sides:

2x^2 + 5x - 420 = 0

Using the quadratic formula:

a = 2, b = 5, c = -420:

-5 +/ √5^2 -4*(2*-420) / 2*2

x = 13.2951

Rounded to the nearest hundredth = 13.30 inches.

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single die is rolled twice. Find the probability of rolling an oddodd number the first time and a number greater than 33 the sec
givi [52]

Answer:

\frac{1}{4}

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

a) Rolling an Odd number in first throw

A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5

So, total number of possible outcomes = 6

Total Favorable outcomes (Odd numbers) = 3

Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,

The probability of rolling an odd number would be = \frac{3}{6} = \frac{1}{2}

b) Rolling a number greater than 3 in second throw

Here again total possible outcomes = 6

Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3

So,

The probability of rolling a number greater than 3 =  \frac{3}{6} = \frac{1}{2}

These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.

So,

Probability of rolling an odd number the first time and a number greater than 3 the second time = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}

6 0
3 years ago
PLEASE HELP WITH THESE 4 PROBLEMS
Marizza181 [45]

Answer:

  • y = -5/2x + 5
  • y = 2x -1
  • y = 24/11
  • y = 4x + 4

Step-by-step explanation:

To solve for y, subtract the x-term and divide by the coefficient of y.

5x +2y = 10

  2y = -5x +10

  y = -5/2x + 5

__

2y -4x = -2

  2y = 4x -2

  y = 2x -1

__

7y +4y = 24

  y = 24/11

We assume there is a typo, but cannot tell what it is. Use the same method as described and demonstrated for the other problems.

__

-2x +1/2y = 2

  1/2y = 2x +2

  y = 4x +4

8 0
3 years ago
Work out the difference between 38.3 and 1.72​
Bumek [7]

Answer:

36.58

Step-by-step explanation:

38.3-1.72=36.58

7 0
2 years ago
Read 2 more answers
The cost to mail a letter today is $0.52 and the rate of inflation each year is 2%. In 40 years, how much will you have to pay?
Nastasia [14]

Answer:

94 cents?

Step-by-step explanation:

2%*40=80%

1.80*0.52=0.936

In 40 years, mail may cost about 94 cents.

(I think this is the correct answer ://)

6 0
3 years ago
Tìm x <br><br>a,(2x+3x)^2-4x^2=10<br><br>b,(x+2)^-(x-2)(x+1)=3<br><br>c,(2x+3)^-4(x-1)^2=0
mash [69]

Answer:

Step-by-step explanation:

7 0
3 years ago
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