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3 years ago

Solve for the variable in the following proportion. 1/4 is to 1 1/4 as 2 is to b b = 1

Mathematics

2 answers:

zavuch27 [327]3 years ago

7 0

the answer is 10 i just did this one!!!!!!!!

Kisachek [45]3 years ago

5 0

2.5=b at least that is what I think

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X^2 + 32x + 256 = 1<br>please show steps

Elena L [17]

$\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Explanation:</h2>

In this case, we have the following equation:

$x^2+32x+256=1$

But we can write this equation as:

$x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0$

So this final result is a quadratic equation written in Standard Form ( $ax^2+bx+c=0$ ). We need to find the solutions to this equations, so let's use quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Learn more:</h2>

Quadratic Equations: brainly.com/question/10278062

#LearnWithBrainly

3 0

3 years ago

Additive inverse of 400

Goshia [24]

Given:

A number is 400.

To find:

The additive inverse of 400.

Solution:

We know that the sum of a number and its additive inverse is 0.

If "a" is number and "b" is its additive inverse, then

$a+b=0$

Let x be the additive inverse of 400. Then,

$400+x=0$

Subtract both sides by 400.

$400+x-400=0-400$

$x=-400$

Therefore, the additive inverse of 400 is $-400$ .

7 0

3 years ago

George went to the supermarket and he bought bananas for his monkeys. They were $5.99. He got a family discount because his wife

BlackZzzverrR [31]

Answer:

$4.49

Step-by-step explanation:

If bananas are $5.99, we need to find 75% of the price, or 25% off. There are two ways we can do this, I'll show the more detailed way. First, we multiply 5.99 by .25 to find 25% of it. We got ~1.50. This means that 25% of 5.99 is 1.50. Now, we take away 1.50 from 5.99. This gets us $4.49. That means the price of the bananas with the discount is $4.49. The other way we can do this is multiply 5.99 and .75 (because 25+75=100). This gets us 4.4925, which rounds to $4.49. I hope this helps!

7 0

3 years ago

Read 2 more answers

The numbers of students in the 7 schools in a district are given below.

Sidana [21]

The mean will decrease

6 0

3 years ago

The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.