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2 years ago

Which is 2.7084 rounded to the nearest tenth?

1 answer:

4 0

The tenth place is where the 7 is.

0.7

If the number behind it is over 5, we round up. If it isn't, we round down.

0<5

We round down.

2.7 is the answer.

I hope this helps!
~kaikers

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Triangle ABC is the image of triangle ABC after a translation of 2 units to the night and 3 units

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8x^2+5=22x Need help learning factoring please put work so I can understand

sp2606 [1]

Answer: (2x - 5) • (4x - 1)

STEP 1 : Equation at the end of step 1

(23x2 - 22x) + 5

STEP 2 : Trying to factor by splitting the middle term

2.1 Factoring 8x2-22x+5

The first term is, 8x2 its coefficient is 8 .

The middle term is, -22x its coefficient is -22 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40

Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .

-40 + -1 = -41

-20 + -2 = -22 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2

8x2 - 20x - 2x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (2x-5)

Add up the last 2 terms, pulling out common factors :

1 • (2x-5)

Step-5 : Add up the four terms of step 4 :

(4x-1) • (2x-5)

Which is the desired factorization

Final result : (2x - 5) • (4x - 1)

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3 years ago

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream. Find the rate of the boat in still w

prohojiy [21]

Step-by-step explanation:

Given that,

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream,

We know that,

Speed = distance/time

The rate while moving downstream $=\dfrac{60}{3}=20\ mph$

The rate while moving upstream $=\dfrac{60}{5}=12\ mph$

The rate of the boat in still water is the average of these:

$v_s=\dfrac{20+12}{2}=16\ mph$

The rate of the current is the difference between the boat speed and actual speed = 16 mph - 12 mph = 4 mph

Hence, this is the required solution.

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2 years ago