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3 years ago

Pedro and Maria agreed to go into partnership. Pedro invested P50,200 and Maria P68,500. What is the ratio of their investments?

Mathematics

1 answer:

Natasha2012 [34]3 years ago

4 0

Answer:

502:685

Step-by-step explanation:

The ratio of Pedro's investments to Marias investments is 50,200:68,500. To simplify this, divide both sides by 100:

502:685

The ration of Pedro's investments to Maria's investments in simplest form is 502:685

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A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. After 1.5 minutes, the balloon is at an al

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Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

$y-y_1=m(x-x_1)$

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

$m=120$

After $x_1=1.5$ minutes, the balloon is at an altitude of $y_1=2,150$ feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

$y-2,150=120(x-1.5)$

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

$2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)$

Now, find the height after 4 minutes:

$y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450$

Thus, the balloon will reach only 2,450 feet after 4 minutes.

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3 years ago

Identify the equation in slope intercept from that has a slope of 2 and goes through the point (4, 6).

Mars2501 [29]

Answer:

y = 2x−2

Step-by-step explanation:

You are given a slope and a point, so you can write the equation using point-slope form:

y -k = m(x -h) . . . . . . a line with slope m through point (h, k)

Putting in the numbers given, you have ...

y -6 = 2(x -4)

y = 2x -8 +6 . . . . eliminate parentheses, add 6

y = 2x -2 . . . . . . . collect terms.

You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.

2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works

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Answer:

x = 11

Step-by-step explanation:

3/(3(2x-3)) = 2/(3x+5)

3(2x-3) = 6x - 9

3/(6x-9) = 2/(3x+5)

3(3x+5) = 2(6x-9)

9x + 15 = 12x - 18

12x - 9x = 15 + 18

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Answer:

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