The ratio of men to women working for a company is 5 to 8 . If there are 364 employees total, how many men work for the company?

Answers

Answer 1

Answer: 5 'parts' of the total company staff are men, and 8 'parts' are women.
That's 13 'parts' all together, comprising 364 people.
So each 'part' is 364/13 = 28 people.

Men = 5 'parts' = 5 x 28 = 140 men

Women = 8 'parts' = 8 x 28 = 224 women

Check:

140/224 = 70/112 = 35/56 =5/8

140 + 224 = 364

yay !

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Help on logarithmic equation

What two numbers adds to -31 and multiplies to 150

Answers

In order to add to a negative number but multiply to a positive number, both numbers must be negative.
With a large number such as 150, I sometimes find it helpful to factor all possible combinations.
150
-----
-1 × -150 ll -1 - 150 = -151
-2× -75 ll -2-75 = -77
-3× -50 ll -3-50 = -53
-5× -30 ll -5-30 = -35
-6× -25 ll -6-25 = -31
-10× -15 ll -10-15 = -25

The numbers are -6 and -25
-6 -25 = -31
-6 × (-25) = 150

I apologize for any poor formatting

A yield sign is an equilateral triangle, with side length of 34 inches. How many square inches of material are needed to make a sign? Round your answer to the nearest tenth of a square inch.

Answers

11.5 square inches are needed to make the sign.

Solve for x. ax+bx=21

Answers

ax + bx = 21

factor out x

x(a + b) = 21
x = 21/(a+b)

ax+bx =21
on factorising x, we get
x( a+b) =21
x = 21/a+b

Find the value of x. 60o

79o

70o

47o

Answers

180-2(55)-x=0
180-110-x=0
70-x=0
-x=-70
x=70°

If tanx = 0.75, find the value ofi. cos2x + sin2x
2tanx
ii.
for 0° < x < 90°
C0Sx-sinx
-

Answers

Answer:

i. 31/25

ii. 1/5

Step-by-step explanation:

you know that tanx = 3/4, so you can also find that sinx = 3/5 and cosx = 4/5. Then you can use the double angle identities to find cos2x and sin2x: cos^2(x) - sin^2(x) + 2sinxcosx and substitute the givens to get 31/25. Then, cosx - sinx is obviously 1/5.

If f(x)= -x^2 - 1, and
g(x)=x + 5, then

g(f(x))=___x^2+___x+___

Answers

Answer:

Step-by-step explanation:

g(f(x))

g(-x^2 - 1)

-x^2 + 0x + 4= -x^2 + 4

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