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Mice21 [21]
3 years ago
11

If x(x - 5) = 14, then what is x equal to

Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

Answer:

x(x-5) = 14

x^2-5x-14 = 0

x^2 -7x+2x-14=0

x(x-7)+2(x-7)=0

(x+2)(x-7)=0

x = -2, 7

Hope this helps!

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What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
AnnZ [28]

The value of n in given proportion is 16

<u><em>Solution:</em></u>

We have to find the value of "n" in the proportion

<em><u>Given proportion is:</u></em>

<em><u></u></em>\frac{n}{28} = \frac{4}{7}<em><u></u></em>

We can solve the above proportion by cross-multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable

->\frac{n}{28} = \frac{4}{7}

-> 7 *  n = 4 * 28

-> n = \frac{4 * 28}{7}

-> n = 4 * 4 = 16

Thus the value of n in given proportion is 16

6 0
2 years ago
Read 2 more answers
The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. The pie and
sergejj [24]

Answer:

130 calories in the ice cream and 500 calories in the pie.

Step-by-step explanation:

Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.

4x-20=500

If we add twenty to both sides, we end up with:

4x=520

Divide both sides by four, and you get x=130.

there are 130 calories in the scoop of ice cream and 130*4-20=500 calories in the pie.

5 0
3 years ago
Which expression is equivalent to -51 - (-60)?
zzz [600]

Answer:

The answer is 9.

Step-by-step explanation:

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6 0
2 years ago
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes
Komok [63]

Answer:

a. The probability of completing the exam in one hour or less is 0.0783

b. The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. The number of students will be unable to complete the exam in the allotted time is 8

Step-by-step explanation:

a. According to the given we have the following:

The time for completing the final exam in a particular college is distributed normally with mean (μ) is 77 minutes and standard deviation (σ) is 12 minutes

Hence, For X = 60, the Z- scores is obtained as follows:

Z=  X−μ /σ

Z=60−77 /12

Z=−1.4167

Using the standard normal table, the probability P(Z≤−1.4167) is approximately 0.0783.

P(Z≤−1.4167)=0.0783

Therefore, The probability of completing the exam in one hour or less is 0.0783.

b. In this case For X = 75, the Z- scores is obtained as follows:

Z=  X−μ /σ

Z=75−77 /12

Z=−0.1667

Using the standard normal table, the probability P(Z≤−0.1667) is approximately 0.4338.

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is obtained as follows:

P(60<X<75)=P(Z≤−0.1667)−P(Z≤−1.4167)

=0.4338−0.0783

=0.3555

​

Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555

c. In order to compute  how many students you expect will be unable to complete the exam in the allotted time we have to first compute the Z−score of the critical value (X=90) as follows:

Z=  X−μ /σ

Z=90−77 /12

Z​=1.0833

UsING the standard normal table, the probability P(Z≤1.0833) is approximately 0.8599.

Therefore P(Z>1.0833)=1−P(Z≤1.0833)

=1−0.8599

=0.1401

​

Therefore, The number of students will be unable to complete the exam in the allotted time is= 60×0.1401=8.406

The number of students will be unable to complete the exam in the allotted time is 8

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A new type of pump can drain a certain pool in 3 hours. An older pump can drain the pool in 9 hours. How long will it take both
ale4655 [162]

Answer: Together the pool can be drained in 2 hours and 18 minutes.

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3 years ago
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