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3 years ago

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Grantsville Copper Mines employs 1,400 workers. The company must lay off 5% of its work force immediately and another 20% of the

remaining work force by the end of the year. How many workers will be laid off?
A.) 336
B.) 280
C.) 210
D.) 70

1 answer:

ratelena [41]3 years ago

6 0

It would be A.) 336 people because of you do 5 percent of 1400 workers it will be 1330 meaning 70 workers were laid off then 20 percent of 1330 would be 266 workers laid off. 266 plus 70 equals 336 so that’s your answer.

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What is the inequality for the range of the value of x

Vilka [71]

Answer:

4x - 5 < x + 1 is an inequality because the solution to the equation is a range of values of x. You can find the range of values of x, by solving the inequality as if it was a normal equation. (This means that when the value of x is less than 2, the inequality 4x - 5 < x + 1 is true.)

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4x + 5<br>please show how you got the answer this is for a test<br> x=3

Lorico [155]

Answer:

$4 \times 3 + 5 \\ = 12 + 5 \\ = 17$

this is your answer

I hope it helps

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#Captainpower

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Katen [24]

Answer:

Q2. (16,8)

Q3. $k=\frac{2}{3}$ , ratio=5:1

Q4. Ratio=2:1

Q5. Ratio=1:1

Step-by-step explanation:

Q2. Let (2a,a) be the coordinates of P.

Since P is equidistant from Q (2,-5) and R (-3, 6), we have

$|PQ|=|PR|$

This gives us:

$\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}$

$\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2$

Expand:

$4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36$

$2a=16$

$a=8$

The coordinates of P are $(16,8)$

Q.3 The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is $x+3y=-13$ .

The x-coordinate of the point that divides AB in the ratio m:n is

$x=\frac{mx_2+nx_1}{m+n}$

The y-axis meets this line at $(0,-\frac{13}{3})$

We substitute $x_2=-1,x_1=5,x=0$ into this equation and solve for m and n.

$0=\frac{-m+5n}{m+n}$

$m=5n$

$\frac{m}{n}=\frac{5}{1}$

Therefore the ratio is m:n=5:1

Q.4 The equation of the line segment joining

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The point (-3, k) must satisfy this line because it lies on it.

$-7(-3)+3k=23$ .

$\implies k=\frac{2}{3}$

We again use the equation $x=\frac{mx_2+nx_1}{m+n}$ to find the given ratio.

Substitute: $x_2=-2,x_1=-5$

$4=\frac{-2m+-5n}{m+n}$

$\implies m=2n$

$\frac{m}{n}= \frac{2}{1}$

The ratio is m:n=2:1

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We substitute (4,m) to get:

12+4m=12

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m=0

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