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2 years ago

Are all negative numbers really 0

Mathematics

1 answer:

algol132 years ago

7 0

Answer:

Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.

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Given ABC find the values of x and y. In your final answer, include all of your calculations.

kow [346]

So with this, we will be using proportions. To solve for x, our proportion will be $\frac{x}{6} =\frac{6}{x-9}$

Firstly, cross-multiply: $x^2-9x=36$

Next, subtract 36 on both sides: $x^2-9x-36=0$

Next, replace -9x with 3x-12x $x^2+3x-12x-36=0$

Next, factor x^2+3x and -12x-36 separately: $x(x+3)-12(x+3)=0$ . After, rewrite it as $(x-12)(x+3)=0$

Next, solve for x separately in the two parentheses:

$x-12=0\\ x=12$

$x+3=0\\ x=-3$

Since we can't have a negative length, x = 12.

To solve for y, our proportion will be $\frac{y}{9} =\frac{12}{y}$

Firstly, cross-multiply: $y^2=108$

Next, just square root each side, and your answer will be (rounded to hundredths) $y=10.39$

In short, x = 12 and y = 10.39.

5 0

3 years ago

There are 25 dogs playing in the dog park. You are a "dog" person and wonder which dog will be the first to come up to you when

Amiraneli [1.4K]

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6 0

3 years ago

A stadium has 52,000 seats. Seats sell for $42 in section A, $36 in section B, and $30 in section C. The number of seats in sect

Charra [1.4K]

Let the number of seats in section A be x, that of section B y and that of secyion C z. Then
x + y + z = 52000 . . . (1)
x = y + z . . . (2)
42x + 36y + 30z = 1960200 . . . (3)

Putting (2) into (1), gives
2x = 52000
x = 52000/2 = 26000
From (2) and (3), we have
y + z = 26000 . . . (4)
42(26000) + 36y + 30z = 1960200
36y + 30z = 1960200 - 1092000
36y + 30z = 868200 . . . (5)

(4) * 30 => 30y + 30z = 780000 . . . (6)

(5) - (6) => 6y = 88200
y = 88200/6 = 14700

From (4), z = 26000 - 14700 = 11300

Therefore, there are 26,000 seats in section A, 14,700 seats in section B and 11,300 seats in section C.

7 0

2 years ago

Duncan ran 26.2 miles in 4 hours 10 minutes. At this rate, rounded to the nearest tenth, how long did it take Duncan to run each

VLD [36.1K]

Answer:

Time taken for cover 1 miles = 0.16 hour (Approx.)

Step-by-step explanation:

Given:

Total distance cover by Duncan = 26.2 miles

Time taken by Duncan = 4 hours 10 minutes

Find:

Time taken for cover 1 miles

Computation:

Time taken by Duncan = 4 hours 10 minutes

Time taken by Duncan = 4 + 0.167 hour

Time taken by Duncan = 4.167 hour

Speed = Distance / Time

Speed = 26.2 / 4.167

Speed = 6.28 miles/hour (Approx.)

So,

Time taken for cover 1 miles = 1/6.28

Time taken for cover 1 miles = 0.16 hour (Approx.)

4 0

2 years ago

If three times a number is 34 1/2, then half the number is

Nesterboy [21]

Let the number be n. Then 3n = 34.5, and n = 34.5/3 = 11.5.

Half of this is 5.75, or 5 3/4.

7 0

3 years ago