Answer:
Option 3,4,5 are correct.
Step-by-step explanation:
The system of equations are:

Multiply equation (2) with -3 and add with equation (1)

Value of y is 3
Putting value of y in eq(2)

Value of x is -2
So, Option 3,4,5 are correct.
Keywords: System of Equations
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Answer: 1:52 PM
Step-by-step explanation:
PAULA: 2:14PM FINISHED THE RACE
BEATRICE: FINISHED 22 MINUTES EARLIER THEN PAULA
YOU TAKE 2:14PM AND SUBTRACT THE 22 MINS BEATRICE RAN TO GET YOU ANSWER.
SO 2:14 -14 MINS=2:00PM 14+8=22 (THE MINS BETRICE FINISHED)
2:00-8 MINS ( REMAINING FROM THE 22 ) THEN 2:00-8 MINS =1:52
ANSWER:1:52PM
Answer:
25/3 ft/s
Step-by-step explanation:
Height of pole , h=15 ft
Height of man, h'=6 ft
Let BD=x
BE=y
DE=BE-BD=y-x
All right triangles are similar
When two triangles are similar then the ratio of their corresponding sides are equal.
Therefore,







Differentiate w.r.t t

We have dx/dt=5ft/s
Using the value

Hence, the tip of his shadow moving with a speed 25/3 ft/s when he is 45 feet from the pole.
Answer:

Step-by-step explanation:
Let's take points (2,3) and (-4,0)
Slope

So,

To find c we put value of (2,3) in the equation

Equation of line

So... the alloy with 5% titanium is ...some alloy :), so is a mixed metal and among its mix it has 5% of titanium, it has other metals, but only 5% is titanium.
that means that if the amount of it is say "x", then the amount of titanium in it will be 5% or (5/100) * x, or
0.05x.
now, the 25% titanium, is the same issue, if say a quantity of "y" will only have 25% of titanium, regardless of other metals, so in "y" there is 25% or (25/100) * y, or
0.25y.
so, we need a mixture that yields only a 13% alloy, or 13/100, and will be 100 grams, so the amount of titanium in it will then be (13/100) * 100 or 13.

how much of the 25% alloy will be needed? well, y = 100 - x.