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nikklg [1K]
3 years ago
6

Solve -7(3x-7)+21x_>50

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

There are no solutions.

Step-by-step explanation:

Let's solve your inequality step-by-step.

−7(3x−7)+21x≥50

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x=4

Step-by-step explanation:

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3 years ago
-12 + 6x = 6 + 5(x - 2) <br><br> Please help and EXPLAIN
icang [17]

Answer: x=8

Step-by-step explanation:

Distribute 5(x) and 5(-2)

-12 + 6x = 6 + 5x + (-10) OR 5x - 10

Flip if you'd like

6x - 12 = 6 + 5x - 10

Combine like terms

6x−12=(5x)+(6+−10)

6x - 12 = 5x - 4

Subtract 5x from both 6 and 5

6x - 5x = 5x - 5x

5x cancels out, so you're left with x, 12, and -4

x - 12 = -4

Add 12 to 12 and -4

12 + 12 = -4 + 12

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7 0
1 year ago
A perfectly straight 24 ft tall tree grows on the edge of the bank of a 45 foot wide river. A bird sitting at the top of the tre
True [87]

Answer:

Distance covered by the bird before meeting the water is: 51.264 ft

Step-by-step explanation:

Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:

distance=Vel\,* time=3\,\frac{ft}{s} *\,2\,\,s=6 \,\,ft

So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.

Such hypotenuse is (using Pythagoras theorem):

hyp =\sqrt{(60\,ft)^2+(22.5\.ft)^2} =\sqrt{4106.25} \,ft=64.08\,ft

Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.

The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:

So we make the proportion between known legs, and hypotenuses:

\frac{24\,ft}{30\,ft} =\frac{D}{64.08\,ft} \\D=\frac{64.08\,ft\,*\,24\,ft}{30\,ft} \\D=51.264\,ft

7 0
3 years ago
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