Ask question

Ask question

All categories

2 years ago

15

What is negative five over eight -5/8 b = 10

1 answer:

anastassius [24]2 years ago

8 0

$- \frac{5}{8}\cdot b = 10 \ \ \ |multiply\ both\ sides\ by\ (-\frac{8}{5}) \\\\(-\frac{8}{5})\cdot (- \frac{5}{8})\cdot b =(-\frac{8}{5})\cdot 10\\\\b=(-8)\cdot 2\\\\b=-16$

You might be interested in

A car travelled 23.6 kilometers. How many meters did the car travel

nasty-shy [4]

The car traveled 23600 meters

5 0

2 years ago

Read 2 more answers

The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.

andrezito [222]

Answer:

Given the equation: $3x^2+10x+c =0$

A quadratic equation is in the form: $ax^2+bx+c = 0$ where a, b ,c are the coefficient and a≠0 then the solution is given by :

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

$x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}$

Simplify:

$x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}$

Also, it is given that the difference of two roots of the given equation is $4\frac{2}{3} = \frac{14}{3}$

i.e,

$x_1 -x_2 = \frac{14}{3}$

Here,

$x_1 = \frac{-10 + \sqrt{100- 12c}}{6}$ , ......[2]

$x_2= \frac{-10 - \sqrt{100- 12c}}{6}$ .....[3]

then;

$\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}$

simplify:

$\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}$

or

$\sqrt{100- 12c} = 14$

Squaring both sides we get;

$100-12c = 196$

Subtract 100 from both sides, we get

$100-12c -100= 196-100$

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve $x_1 , x_2$

$x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}$

or

$x_1 = \frac{-10 + \sqrt{100- 96}}{6}$ or

$x_1 = \frac{-10 + \sqrt{4}}{6}$

Simplify:

$x_1 = \frac{-4}{3}$

Now, to solve for $x_2$ ;

$x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}$

or

$x_2 = \frac{-10 - \sqrt{100- 96}}{6}$ or

$x_2 = \frac{-10 - \sqrt{4}}{6}$

Simplify:

$x_2 = -2$

therefore, the solution for the given equation is: $-\frac{4}{3}$ and -2.

3 0

2 years ago

Draw the figure with their measurements and find their volume

babunello [35]

1) Volume = L × W × H = 8 × 3 × 5 = <u>120 m³</u>

2) Volume = s³ = 17³ = 17 × 17 × 17 = <u>4913 cm³</u>

3) Volume = s³ = 30³ = 30 × 30 × 30 = <u>27000 cm³</u>

4) Volume = L × W × H = 13 × 5 × 7 = <u>455 cm³</u>

5) Volume = s³ = 15³ = 15 × 15 × 15 = <u>3375 cm³</u>

<u />

Formula's applied:

(a) Volume of rectangle: Length × Width × Height

(b) Volume of Cube: (side)³

5 0

1 year ago

Can 2 liters fit into 1/2 of a gallon?

svetlana [45]

Yes. bc once the first two liter goes in it will prolly fill up half of the the 1/2 gallon it will foam down and the other one will fit also

4 0

2 years ago

Read 2 more answers

A balloon seller has 4 green balloons, 3 yellow balloons, and 9

brilliants [131]

4g+3y+9=total of 16 and subract one green ballon, so 15. If picking one probability is 1/15

4 0

2 years ago