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Marta_Voda [28]
3 years ago
9

A international company has 26,700 employees in one country. If this represents 31.6% of the company's employees,how many employ

ees does it have in total
Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

79762

Step-by-step explanation:

Total number of employees in one country=26,700

Let X= Total number of the company's employees in all countries

31.6% of ( Total number of the company's employees in all countries)=26,700

=[( 31.6/100) × X)] =26,700

Making X subject of the formula we have

X= [(26,700)/( 33.6/100)]

= [26800/0.336]

= 79762 ( approximately)

Hence, Total number of the company's employees in all countries is 79762

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Kendra is 8 now, tim is 4
5 0
3 years ago
5. Determine the length of side y to the nearest hundredth.
KonstantinChe [14]

Answer:

64.50 cm

Step-by-step explanation:

\sin \: 51 \degree =  \frac{y}{83} \\  \\  0.7771459615 =  \frac{y}{83}  \\  \\ y = 0.7771459615 \times 83 \\  \\ y = 64.5031148 \\  \\ \huge \red{ \boxed{ y = 64.50 \: cm}}

8 0
3 years ago
using the equation representing the height of the firework (h = -16t^2 + v↓0 + h↓0), algebraically determine the extreme value o
Hitman42 [59]

Answer:

y = (-1/15)(x - 3)2 + 15

Step-by-step explanation:

The general equation of a parabola is

y = a(x - h)2 + k

If the halfway line if the origin, i.e. (x, y) = (0, 0), then the ball is kicked at (-12, 0) and it lands at (18, 0). By symmetry, the ball reaches its greatest height halfway between the starting and ending x values, or at x = 3. So, we know three points on this parabola: (-12, 0), (18, 0) and (3, 15).

Let us plug the first point into the generalized equation:

y = (x - h)2 + k

0 = (-12 - h)2 + k

So, k = -(-h - 12)2

or

k = -(h + 12)2, since we can factor out -1 and it becomes squared.

We can also plug (18, 0) into the generalized equation, and get:

0 = (18 - h)2 + k

So, k = -(18 - h)2

Since we have two expressions both equal to k, we can set them equal to each other and eliminate k:

-(h + 12)2 = -(18 - h)2

We can cancel out the negative signs and square out the terms on each side of the last equation.

h2 + 24h + 144 = h2 - 36h + 324

We can cancel out h2 and then solve for h.

24h + 144 = -36h + 324

60h = 180

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We know that if x = 3, y = 15 from out third point.

15 = a(3 - 3)2 + k

So, k = 15

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y = a(x - 3)2 + 15

We can then pick one of the other points, plug in the corresponding x and y and then solve for a. I choose (18, 0).

0 = a(18 - 3)2 + 15

0 = 152a + 15

Divide this equation through by 15.

0 = 15a + 1

or

a = -1/15

Therefore, the generalized equation is

y = (-1/15)(x - 3)2 + 15

7 0
3 years ago
A student was given the line y=2/3x-1 and the point (-7, 1/2) and asked to find an equation that went through the given point an
Colt1911 [192]

keeping in mind that perpendicular lines have <u>negative reciprocal</u> slopes,  hmmm what's the slope of y=2/3x-1 anyway?


\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{7em}y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x-1 \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}


so, notice, "one of his mistakes" is that he used 3/2 as the slope, not -3/2.

so, we're really looking for a line whose slope is -3/2 and runs through (-7, 1/2).


\bf (\stackrel{x_1}{-7}~,~\stackrel{y_1}{\frac{1}{2}})~\hspace{10em} slope = m\implies -\cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\cfrac{1}{2}=-\cfrac{3}{2}[x-(-7)]\implies y-\cfrac{1}{2}=-\cfrac{3}{2}(x+7) \\\\\\ y-\cfrac{1}{2}=-\cfrac{3}{2}x-\cfrac{21}{2}\implies y=-\cfrac{3}{2}x-\cfrac{21}{2}+\cfrac{1}{2}\implies y=-\cfrac{3}{2}x-10

3 0
3 years ago
Pls help me with this if answer correct u will be Brainliest
12345 [234]

Answer:

C, 5.02%

Step-by-step explanation:

The actual area of court is 94*50= 4700

Ryan calculated an estimation of 93*48= 4464

The percent error is |\frac{Actual- estimate}{actual} | = \frac{4700-4464}{4700} = \frac{236}{4700} = approx . 5.02 %, or C%

<em>I hope this helped! :)</em>

8 0
3 years ago
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