if u were to distribute u need to remember that 6 is negative so it changes -k to a positive 6k and then you would time 4 by -6 which would be -24 but u would just write it like 19 + 6k - 24. then u would add 19 to both sides by 19 which would be like adding 19 to -24 which would equal to -5 so it would equal to 6k - 5.

hope I explained the steps well enough for you.

5 0

3 years ago

A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side

mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

$x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87$

3 0

3 years ago

If your friend leaves your house at a speed of 8mph and two hours later you follow in your car at 40mph, how long will It be bef

dusya [7]

Answer:

1/2 hour
20 miles

Step-by-step explanation:

Your friend has a head start of (2 h)×(8 mi/h) = 16 mi.

When you leave, you gain on your friend at the rate of 40 mph - 8 mph = 32 mph. So, it will take ...

(16 mi)/(32 mi/h) = 1/2 h

for you to reduce the distance between you to zero.

In that 1/2 hour, you have traveled ...

(1/2 h)×(40 mi/h) = 20 mi

This is the same distance your friend has traveled in 2.5 hours at 8 mi/h.

3 0

3 years ago

The daily recommended allowance of calcium for a sixth grader is 1,200 mg. One cup of

ExtremeBDS [4]

Answer: one cup of milk contains 300 mg of calcium

Step-by-step explanation:

25% of 1200 is 300

8 0

3 years ago