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4 years ago

-26 times a number minus 5 is equal to 56 less than the number

Mathematics

1 answer:

Airida [17]4 years ago

3 0

-26x - 5 = x - 56

That should be the equation that is formed.

If you are attempting to find said number (x), then follow these steps:

First, add five to both sides:

-26x = x - 51

Then subtract x from both sides to get the variable on one side of the equation:

-27 x = -51

Now, divide both sides by -27, which will get you the final answer of:

x = -1.9 (rounded up)

Hope this helps!

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3 years ago

A department store will place a sale item in a special display for a one-day sale. Previous experience suggests that 43 percent

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672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

Step-by-step explanation:

No. of customers pass the display on the day of sale = 1462

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Mean = E(X)=np

E(X)= $1462 \times 0.43$

E(X)=628.66

Standard deviation = $\sqrt{npq}$

Standard deviation = $\sqrt{1462 \times 0.43 \times (1-0.43)}=18.92$

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P(X<x)=0.01

Using z table

$P(\frac{x-\mu}{\sigma})= 2.33 \\\frac{x-628.66}{18.92}=2.33\\x=(2.33 \times 18.92)+628.66\\x=672.7436$

Hence 672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

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3 years ago

9. In a rhombus whose side measures 34 and the smaller angle is 42°. Find the length of the larger diagonal, to the nearest tent

Veseljchak [2.6K]

Answer:

63.5

Step-by-step explanation:

The diagonals of a rhombus bisect opposite angles.

The longer diagonal bisects the 42° angle

The larger angle of the rhombus is 180 - 42 = 138

Let x = the length of the longer diagonal

You know two sides and the included angle of a triangle.

Using the law of cosines we get

$x^{2} = 34^{2} + 34^{2} -2(34)(34) cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.150837...\\x = \sqrt{4030.150837} = 63.48$ $x^{2} = 34^{2} + 34^{2} -2(34)(34)cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.1508...\\ x = \sqrt{4030.1508} \\ = 63.48$ x^2 = 34^2 + 34^2 - 2(34)(34) cos 138

= 1156 + 1156 - 2312 c0s 138

= 4030.1508...

x = sq rt 4030.1508...

= 63.5

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