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3 years ago

One car takes half a minute to complete a circuit.

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

5 0

Answer:

7 laps

Step-by-step explanation:

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Convert the following into standard form<br> Y=1/6x+2

shepuryov [24]

Answer:

In the screenshot, since it won't let me do fraction form.

Step-by-step explanation:

4 0

3 years ago

Two-thirds of a number added to itself is 20. What is the number?

vivado [14]

Answer:

Step-by-step explanation:

2/3 x + x = 20

2/3 x + 3/3x = 20

5/3 x = 20 ... times 3/5 both sides

x = 12

check: 2/3 x 12 + 12 = 8 + 12 = 20

8 0

3 years ago

Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

2 years ago

Help with #5, 6, 7, and 8 <br> pleasee

lesya [120]

5. It is a 5/9 chance he will pick 2 pair of pants. There are 5 pants and 9 in total (clothes and pants)
7. It is a 3/9 chance he will pick 2 items that are black. There are only 3 things that are black and the rest are other colors.
8. It is a 2/9 chance he will pick a pant and a shirt that is white. There is 1 white pants and 1 white shirt.

That is all I know. Number 6 kind of confuses me. Hope I helped!!!

8 0

3 years ago

What’s the answer to 5 1/2 x ? = 10

myrzilka [38]

The answer is 1.81 repeated so like 1.81818181

3 0

3 years ago