Which is the number, which when squared and added to 12 becomes seven times its value ?

Answers

Answer 1

Answer: $x^(2)+12=7*x$ , where x is unknown numer

Now we are moving $7*x$ on left side to obtain quadratic equation:

$x^(2)+12-7*x=0$

Our goal is to find two roots of this equation.

First we are finding delta:

$\Delta =b^(2)-4*a*c$

$\Delta =(-7)^(2)-4*1*12=1$

First root:

$x_(1)=(-b+√(\Delta))/(2*a)$

$x_(1)=(7+√(1 ))/(2)=4$

Second root:

$x_(2)=(-b-√(\Delta))/(2*a)$

$x_(2)=(7-√(1 ))/(2)=3$

Answer 2

Answer: $x^2+12=7x\n x^2-7x+12=0\n x^2-3x-4x+12=0\n x(x-3)-4(x-3)=0\n (x-4)(x-3)=0\n x=4 \vee x=3$

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Dave sells popcorn at the ballpark. He is paid a flat rate of $40 each day, but also earns $0.45 for each box of popcorn he sells. Dave earns a total of $112 at Wednesday nights game. How many boxes of popcorn does he sell?

Answers

$112=40+.45x$

$72=.45x$

$x=160$

He sold 160 boxes

What is the more common name for an angle measurer

Answers

Another name for an angle measurer is a protractor.

Protractor is more common name for an angl measurer.

the areas of the two watch faces have a ratio of 16:25. what is the ratio of the radius of the smaller watch face to the radius of the larger watch face?

Answers

The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

What is the area of the circle?

The area of the circle is given by the formula,

$\text{Area of the Circle} = \pi r^2$

As we know that the ratio of the area of the two watches is 16:25. And we also know that the area of a circle is given by the formula,

$\text{Area of the Circle} = \pi r^2$

Now, as we know that the ratio of the area of the watches can be written as,

$\frac{\text{Area of the small watch face}}{\text{Area of the Large watch face}} = (16)/(25)\n\n(\pi r^2)/(\pi R^2) =(16)/(25)\n\n(r^2)/(R^2) = (16)/(25)\n\n(r)/(R) = \sqrt{(16)/(25)}\n(r)/(R) = (4)/(5)$

Hence, the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

Learn more about Circle:

brainly.com/question/11833983

Answer:

4:5

Step-by-step explanation:

Let r be the radius of small watch

Area of small watch=π $r^(2)$

Let R be radius of larger watch= π $R^(2)$

Area of larger watch= π $R^(2)$

It is given that the ratio of their areas= 16:25

$( Area of smaller circe)/(Area of larger circle)$ = $(16)/(25)$

π $r^(2)$ : π $R^(2)$ = 16:25

$(r)/(R)$ = $(√(16) )/(√(25) )$

r:R= 4:5

Hence, the ratio of their radii= 4:5

Hence, the correct answer is 4:5

The voltage V of an audio speaker can be represented by V= 4 sqrt P , where P is the power of the speaker. An engineer wants to design a speaker with 361 watts of power. What will the voltage be?

Answers

The voltage of an audio speaker is 76 volts.

Given that

The voltage V of an audio speaker can be represented by $\rm V = 4√(P)$ .

Where P is the power of the speaker.

An engineer wants to design a speaker with 361 watts of power.

We have to determine

What will the voltage be of an audio speaker?

According to the question

The voltage V of an audio speaker can be represented by $\rm V = 4√(P)$ .

The power of the audio speaker = 361 watts

The voltage of an audio speaker is;

$\rm V = 4√(P)\n\n\rm V = 4√(361)\n\nV = 4 * 19\n\nV = 76$

Hence, the voltage of an audio speaker is 76 volts.

To know more about Power click the link given below.

brainly.com/question/26176670

Answer:

$Voltage=76\ volts$

Step-by-step explanation:

$Given\ V=4√(P)\n\nwhere\ V\ is\ voltage\ and\ P\ is\ Power.$

$Here\ power\ is\ given\n\nP=361\ watts\n\nSubstitute\ P\ in\ the\ given\ equation\n\nV=4√(P)\n\nV=4√(361)\n\nV=4√(19* 19)\n\nV=4* 19\n\nV=76\ volts$

Pls simplify !
−10x2 − 39x + 4
−15x2 − 21x + 18

Answers

Answer:

-28-60x

Step-by-step explanation:

-20-39x+4-30-21x+18

-20-30+18+4-39x-21x

-50+22-60x

Gus bought a pair of sunglasses for $45.00 and then sold them to his friend for $58.50. What percent did Gus mark up the sunglasses before selling them?

Answers

30% First find the difference between the two (58.50-45) then divide the difference by the original (13.5/45) and that will give you .30 to make it a percent move the decimal two places to the right :)

First we want to subtract 58.50 by 45.00. what is the answer

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