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2 years ago

In 3 years, a gym's membership went up from 5,600 to 6,450. Which expression shows

Mathematics

1 answer:

alexdok [17]2 years ago

8 0

Answer:15% increase

Subtract the two numbers which equals 850 then divide by 5600

Please correct me if I am wrong, I am a little rusty.

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Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

$y=3$

$z=-5$

Step-by-step explanation:

Given:

$x+y+z=-6$

$x-6y-7z=-29$

$-7y-5z=4$

Solve for $x$ in the 1st equation:

$x+y+z=-6$

$x+y=-z-6$

$x=-y-z-6$

Substitute the value of $x$ into the 2nd equation and solve for $z$ :

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

Substitute the value of $z$ into the 3rd equation and solve for $y$ :

$-7y-5z=4$

$-7y-5(16-7y)=4$

$-7y-80+35y=4$

$28y-80=4$

$28y=84$

$y=3$

Plug $y=3$ into the solved expression for $z$ and evaluate to solve for $z$ :

$z=16-7(3)$

$z=16-21$

$z=-5$

Plug $z=-5$ into the solved expression for $x$ and evaluate to solve for $x$ :

$x=-(3)-(-5)-6$

$x=-3+5-6$

$x=2-6$

$x=-4$

Therefore:

$x=-4$

$y=3$

$z=-5$

6 0

2 years ago

The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run

Kay [80]

(27 mi/hr) x (1 hr / 60 min) = (27/60) (mi/min) = 0.45 mile/minute

Using the same kind of calculation, we can see
that the world record times for other distances
correspond to:

200 meters    23.31 mph
400 meters    20.72 mph
800 meters    17.73 mph
1000 meters    16.95 mph
1500 meters 16.29 mph
1 mile (1,609 meters) 16.13 mph
2,000 meters    15.71 mph
10,000 meters    14.18 mph
30,000 meters    12.89 mph
Marathon (42,195 meters) 13.10 mph

Except for that one figure at the end, for the marathon,
which I can't explain yet and I'll need to investigate further,
it's pretty obvious that a human being, whether running for
his life or for a gold medal, can't keep up the pace indefinitely.

8 0

3 years ago

Read 2 more answers

Draw the circle with equation x² + y² = 16

Mrrafil [7]

Answer:

Below.

Step-by-step explanation:

The center of the circle is at the origin and its radius is √16 = 4.

So set a compass to 4 and draw a circle with the compass point at the origin.

6 0

1 year ago