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1 year ago

Express 7 square as the sum of two consecutive positive numbers.

Mathematics

1 answer:

Alborosie1 year ago

3 0

Answer:

24 and 25

Step-by-step explanation:

From given, we have,

7 square = 49

Let the first positive number be = x

And the second consecutive positive number is = x+1

x + (x + 1) = 49

2x + 1 = 49

2x = 49 - 1

2x = 48

x = 24

the first number x = 24

the second consecutive number x+1 = 24 + 1 = 25

Thus, 7 square = 24 + 25 (the sum of two consecutive positive numbers.)

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What is the value of x in the equation x- 3/4 =5 1/6

Wewaii [24]

Answer:

5 11/12

Step-by-step explanation:

First convert the mixed number into an improper fraction: 31/6

Find a common denominator:

18/24 and 124/24

124/24+ 18/24 is 142/24 and that is the same as 5 11/12

Hopefully this helps and you can have a lovely day!

3 0

3 years ago

Applicants who wish to be admitted to a certain professional school in a large university are required to take a screening test

Elden [556K]

Answer:

Probability of eligible applicants who pass the exam is 0.665

probability of applicants who are ineligible but pass the exam 0.063

Step-by-step explanation:

Total percentage eligible applicants who pass the exam

$\textrm {89\% of 70\%}= \dfrac{89\times70}{100}=62.3\%$

Total ineligible applicants who pass the exam

$\textrm {14\% of 30\%}= \dfrac{14\times30}{100}=4.2\%$

All applicants who pass this exam 62.3% + 4.2% = 66.5%

Probability of applicants who pass the exam

$\textrm{probability }= \dfrac{66.5}{100}=0.665$

Out of 66.5% applicants who pass the exam , 4.2% applicants are ineligible

$\textrm{so the probability is}\dfrac{4.2}{66.5}=0.063$

Probability of applicants who pass the exam is 0.665

probability of applicants who are ineligible but pass the exam 0.063

6 0

2 years ago

There are 12 red marbles and 8 green marbles in a bag. What is the probability of selecting a red

madam [21]

Answer:

The probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95

Step-by-step explanation:

Number of red marbles = 12

Number of green marbles = 8

Total number of marbles = 12+8 = 20

Probability of selecting red marble = $\frac{12}{20}$

Since it is the case of no replacement

Remaining marbles = 20-1 = 19

Number of red marbles = 12-1=11

Number of green marbles = 8

Probability of selecting green marble = $\frac{8}{19}$

So, the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag = $\frac{12}{20} \times \frac{8}{19}=\frac{24}{95}$

Hence the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95

3 0

3 years ago

An airplane travels 360 miles in 2 hours. At the rate, how far can the airplane travel in 8 hours. Please help me!

S_A_V [24]

Answer:

1440 miles

Step-by-step explanation:

360 miles = 2 hours

360/2=180 miles = 1 hours

8 hours = 180*80=1440 miles

5 0

2 years ago

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Andreas93 [3]

Answer:

x>3, the last option with the open circle

Step-by-step explanation:

7 0

2 years ago