Simplify 5х + 6x — 3x

Mathematics

1 answer:

ella [17]3 years ago

5 0

This can be simplified by grouping like terms:
5x + 6x - 3x = (5 + 6 - 3)x = 8x

Therefore the answer is 8x

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When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f

nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

With the current (current helps):

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

$10=2(x+y)$

Against the current:

Distance = 8 km

Time = 2 hours

Rate = x - y km/h

$8=2(x-y)$

Divide both equations by 2:

$x+y=5\\ \\x-y=4$

Add these equations:

$x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h$

Subtract these two equations:

$(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h$

4 0

3 years ago

I need helpppp plsssss

podryga [215]

9514 1404 393

Answer:

33, 27
285

Step-by-step explanation:

The price difference is found by subtracting Emma's price from DeShawn's price. Each price is the product of the number of square feet and the price per square foot.

The number of square feet is already given in the answer form, so you only need to fill in the per square foot prices. Those are found in the table. Both the window name and the window area give clues as to which is the right price to choose.

The expression is (4² × 33) - (3² × 27).

For the second fill-in, you need to actually do this arithmetic. For many calculators, you can enter this expression directly.

DeShawn paid $285 more for his window than Emma.