What’s 1/3 + 1/3 = ?

If a car goes 204 miles in 3 hours, how far will it go in 7 1/2?

jasenka [17]

510 miles, 204/3 = 68
68x7.5= 520

5 0

3 years ago

Help quickly please!!!

sineoko [7]

Answer:

M= -2

B=1

Step-by-step explanation:

Y-intercept is the point where the line crosses through the y line, so you can clearly see that that point is (0,1) we only write the y value because for a y intercept the x value will always be zero

Slope is the rise over run, meaning how much the y value changes over how much the x value changes, so for the two points we use our formula:

$\frac{y1-y2}{x1-x2}$

So now input how much it changes by adding the numbers from each coordinate:

$\frac{(-3)-(1)}{(2)-(0)}$

Simplify:

$\frac{-4}{2}$

But we write it as:

-4/2

This is because this looks more like division

Divide:

-4/2=-2

So, your slope is -2 and the y- intercept is 1

I hope this helps u pls give a brainliest and a thx ;)

7 0

3 years ago

A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h cross wind blowing due eas

Ksju [112]

Answer:

The actual speed = 27.12 mi/h

Direction = 36.5° in NE(north of east)

Step-by-step explanation:

As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.

⇒θ = 36°

Let v₀ be the constant speed, then v₀ = 20

Let vₓ be the speed in East direction

$v_{y}$ be the speed in North direction

So,

vₓ = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)

⇒vₓ = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h

and $v_{y}$ = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h

Now,

the actual speed = √(vₓ)² + ( $v_{y}$ )²

= √(21.76)² + (16.18)²

= √473.498 + 261.792

= √735.29 = 27.12

⇒The actual speed = 27.12 mi/h

Now,

Direction = θ = $tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) = tan^{-1}(0.74) = 36.5$

⇒ Direction = 36.5° in NE(north of east)

7 0

3 years ago

A triangle has side lengths of x, x+11, and 3x+5. What is the perimeter?

Tomtit [17]

Answer:

5x + 16

Step-by-step explanation:

7 0

3 years ago

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Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

3 years ago

Read 2 more answers