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2 years ago

X^2 =80. Write the exact answer using radicals

Mathematics

1 answer:

DanielleElmas [232]2 years ago

8 0

Answer:

4√5, -4√5

Step-by-step explanation:

x^2 = 80

√x^2 = √80

x = 8.9 or 4√5

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a survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. Th

Feliz [49]

I fear that there is an error copying your assignment.
65% of the students walked. Are all of the other students on buses? Are there both public buses AND private buses?
Assuming that you need to know BOTH kinds of buses, try this:

65% of the students walked, so since 100% - 65% = 35% then this means that 35% of the students were on buses.
Since we know that there are 360 more walkers than bus riders, then one equation we know is: 65% of S = 360 + 35% of S (let S = total # of students)
.65 S = 360 + .35 S
 - .35 S = - .35 S Subtract .35 S from both sides
 .30 S = 360 Divide both sides by .30 (or .3)
.30 .30
S = 1,200 so we know that this is the total number of students, but that is not what was asked.
They want to know how many are on buses and specifically how many are on public buses, if I read this correctly.
Since the walkers = 65% of 1,2000 and we know of means TIMES, then
.65 (1,200) = 780 walkers
1,200 total students minus 780 walkers = 420 bus riders

Now, if there is not a misprint and we really have to figure out the public bus riders as compared to the private bus riders, then remember the ratio from above in the question: 4 bus: 3 public buses
Now if I read this right, that means that 3/4ths of the bus riders were on public buses
so 3/4 of 420 means 3/4 times 420 = 3 times 105 = 315 public bus riders (which coincidentally leaves 105 private bus riders, but since they are private we don't know much about them. Ha-Ha..... I made a lame joke.)

So your answer is 315 public bus riders

5 0

3 years ago

Read 2 more answers

Solve the inequality. 2n/7 ≤ 4, but it needs to be in set-notation.

son4ous [18]

Answer

n < 14

Step-by-step explanation:

simplify 2n<28

2n/2<28/2

simplify n<14

6 0

3 years ago

Justo ayer fue el cumpleaños de Mauricio. Si a la edad e Mauricio, le sumo 13, al resultado le resto 10, luego al nuevo resultad

bezimeni [28]

Answer:

Mauricio nació en el año 2000.

Step-by-step explanation:

Supóngase que el cumpleaños se celebra en el año 2020, si $x$ es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es:

$\frac{(x+13)-10}{23} +20 = 21$

Ahora, se desarrolla y se simplifica la ecuación:

$\frac{x+3}{23}+20 = 21$

$\frac{x+3}{23} = 1$

Se despeja $x$ :

$x +3 = 23$

$x = 20$

Mauricio tiene 20 años.

Ahora, el año de nacimiento de Mauricio es la sustracción de la edad de Mauricio del año actual:

$y = 2020-20$

$y = 2000$

Mauricio nació en el año 2000.

3 0

3 years ago

What is the unit rate of 92 dollars for 2 video games

arsen [322]

Answer:

It is $46 per video game because 92 divided by 2 is 46.

Step-by-step explanation:

7 0

2 years ago

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?

stiv31 [10]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

5 0

2 years ago

Read 2 more answers