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Firdavs [7]
3 years ago
8

Solve the equation 2/3x - 5 = 1/2x - 3

Mathematics
2 answers:
Elden [556K]3 years ago
8 0
2/3x=4/6x
1/2x=3/6x
4/6x-5=3/6x-3
add 5 to both sides
4/6x=3/6x+2
subtract 3/6x from both sides
1/6x=2
multiply both sides by 6
x=12
Lina20 [59]3 years ago
5 0
\frac{2}{3}x-5=\frac{1}{2}x-3\ \ \ \ \ | subtract\ \frac{1}{2}x\\\\
\frac{2}{3}x-\frac{1}{2}x-5=-3\ \ \ \ \ | multiply\ by\ 6\\\\
4x-3x-30=-18\ \ \ \ | add\ 30\\\\
x=12


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a fish was 35 feet below sea level. it quickly swim up and rise 2 feet into the air.how far did it travel from it previous posit
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For a better understanding of the solution provided here please find the diagram in the file that has been attached. As shown in the diagram, the sea level is taken as the "zero level" thus making 35 feet below sea level as -35 and making 2 feet above (or in the air) as +2 (or simply 2).

The fish was at P1 (35 feet below sea level or, -35) to start with and jumped to P2 (2 feet above sea level, or 2), so the total distance travelled by the fish is the distance between the positions of P1 and P2 which can be shown as:

Distance=P2-P1=2-(-35)=37 feet.

Therefore, the fish travelled a total of 37 feet from it's previous position which was 35 feet below the sea level.

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valentina_108 [34]

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In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=37°, and SQ = 56 feet. Find the length of QR to the nearest tenth of a foot
melisa1 [442]

Answer:

  70.1 ft

Step-by-step explanation:

The cosine relation gives the ratio of the adjacent side to the hypotenuse for an acute angle in a right triangle:

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Rearranging gives ...

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The length of QR is about 70.1 ft.

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