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2 years ago

Mr Suray had some money. He spent $154 on a jacket and 3/8 of the remainder on a shaver. He had 1/3 of his money left.

1 answer:

4 0

(a) What fraction of the money did I spend on the jacket?
For this case the first thing you should know is that all the money is represented in the following way:
100% = 1
Therefore, we write the following equation:
x + 3/8 + 1/3 = 1
From here, we clear x:
x = 1- 3/8 - 1/3
x = 7/24
Answer:
he did spend on the jacket 7/24 of the money

(b) How much money did he have at first?
We can make the following rule of three:
7/24 ----> $ 154
1 --------> x $
We clear the value of x:
x = (1 / (7/24)) * (154)
x = $ 528
Answer:
he had at first 528 $

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A group of kids just finished trick-or-treating. The number of pieces of candy collected by each of the 5 kids

NemiM [27]

Answer:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808$

And the answer for this case would be :

$s= 3.81$ after round the value

Step-by-step explanation:

We have the following data set given:

31, 33, 36, 41, 34

If we want to find the standard deviation we need to find first the sample mean with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{31+33+36+41+34}{5}= \frac{175}{5}= 35$

Now we can find the sampel deviation with this formula:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808$

And the answer for this case would be :

$s= 3.81$ after round the value

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2 years ago

An employer may conduct an aptitude test to check for what? A. Your ability to solve problems B. Test your actual skills, such a

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The correct answers should be A. Your ability to solve problems

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Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.

Ira Lisetskai [31]

Answer:

Below

Step-by-step explanation:

● x^2 + 11x + 121/4 = 125/4

Substract 125/4 from both sides:

● x^2 + 11x + 121/4-125/4= 125/4 -125/4

● x^2 + 11x - (-4/4) = 0

● x^2 +11x -(-1) = 0

● x^2 + 11 x + 1 = 0

This is a quadratic equation so we will use the determinanant (b^2-4ac)

● a = 1

● b = 11

● c = 1

● b^2-4ac = 11^2-4*1*1 = 117

So this equation has two solutions:

● x = (-b -/+ √(b^2-4ac) ) / 2a

● x = (-11 -/+ √(117) ) / 2

● x = (-11 -/+ 3√(13))/ 2

● x = -0.91 or x = -10.9

Round to the nearest unit

● x = -1 or x = -11

The solutions are { -1,-11}

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The formula is
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Eddi Din [679]

Answer: x = 11

To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.

Now, write the equation: 122 = 13x - 21

Solve this, to find the x = 11.

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