At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. Only 5% liked Baby Shark the best. 100 sixth-grade students prefer hip hop music. How many 6th grade students are there at the school?

Answer:

i) The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].

ii) The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].

Step-by-step explanation:

i) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 0[/tex] is graphing the following system of equations:

[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)

[tex]y = 0[/tex] (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].

ii) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 2[/tex] is graphing the following system of equations:

[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)

[tex]y = 2[/tex] (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].

Answer:

6 2/3

Step-by-step explanation:

1 2/3 *4= 4 8/3 ---->6 2/3

Answer:

C) 18

Step-by-step explanation:

4st - 2t

4(2)(3) - 2(3)

24 - 6

18

Answer:

7/8

Step-by-step explanation:

turn 1/4 denominator into 8 and by doing that, u multiply by 2.

whatever you do to the bottom, u do to the top. so 1/4= 2/8

5/8+2/8= 7/8

5/8  +  1/4 = 37/20

37/20=1 y 17/20

Answer:

10

Step-by-step explanation:

The radius is half the diameter

Answer:

d) 10in is the answer

Step-by-step explanation:

step 1 - Radius is half of the diameter.

step 2 - 20 ÷ 2 = 10

step 3 - Hence the answer is 10in.

Hope it helps,

Please mark me as the brainliest

Thank you

Answer:

I think the answer of X is 2

Step-by-step explanation:

i said think ok

have a nice week

[o]-[o]

\___/

Answer:

x=2

Step-by-step explanation:

Going from 6 to 4 means you have to dilate by 2/3.

(2/3)*6=4

(2/3)*3 is 2

Answer: i would say D but i have no idea, it makes the most sence to me

Answer:

113 - L O L Z - but its a obtuse angle

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5(-4)+3(-7)+2= -20-21+2=-39

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Midpoint of a line segment joining points [tex](x,y)[/tex] and [tex](u,v)[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2} )[/tex]

Points are R(-1,10),S(5,4)and T (-4,-2).

Midpoint of RS = [tex](\frac{-1+5}{2},\frac{10+4}{2} )=(\frac{4}{2},\frac{14}{2} )=(2,7 )[/tex]

Midpoint of RT = [tex](\frac{-1-4}{2},\frac{10-2}{2} )=(\frac{-5}{2},\frac{8}{2} )=(\frac{-5}{2},4)[/tex]

Slope of a line joining points [tex](a,b)[/tex] and [tex](c,d)[/tex] is given by [tex]\frac{d-b}{c-a}[/tex]

Slope of line joining midpoints of side RS and RT = [tex](\frac{4-7}{\frac{-5}{2}-2 })=(\frac{-3}{\frac{-9}{2} })=\frac{2}{3}[/tex]

Step-by-step explanation:

Given

5x + 2y = 16 .....i)

x + 2y = 4 .....ii)

Subtracting equation I) and ii) we get

5x + 2y = 16

x + 2y = 4

- - -

4x = 12

x = 3

Putting x = 3 in equation ii)

3 + 2y = 4

2y = 4 - 3

y = 1/2

x =3 and y = 1/2

Hope it helps :)

Answer:

1) x=2 y=3 2) x=2 y=1

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

9/6=x/10

why? they segments are similar

Answer:

46°

Step-by-step explanation:

These angles are same-side supplementary, therefore they add up to 180°.

180 - 134 = 46°.

9514 1404 393

Answer:

  14,060 ft

Step-by-step explanation:

On day 2, the group climbed ...

  19660 -16860 = 2800 . . . . feet

The problem statement tells us they climbed that same amount on day 1, so they must have started at ...

  16860 -2800 = 14,060 . . . . feet

The group began their climb at 14,060 feet.

Answer:

80 cm^3

Step-by-step explanation:

In order to find the volume of an object, you must multiply the length x width x height of the object. In the case of this pyramid, you also must multiply by 1/3 in the end. This looks like 5x6x8x(1/3) = 80 cm^3

Answer:

I got 240 but I'm not sure if that is correct

Step-by-step explanation:

volume is the space inside and you find out with length x width x height and that's what I did. I guess the number just seems high

Answer:

6 people

Step-by-step explanation:

Answer:

1. i^20 X (2+i^22)

2. i² X (i¹¹-1) X (i²² + i¹¹ + 1) X (i^66 + i³³ + 1)

Step-by-step explanation:

1) 2i^20 + i^42

factor out i^20

i^20 X (2 + i^22)

2) i^101 - i²

i²X(i^99-1)

i²X(i³³-1)X(i^66+i³³+1)

Using a³-b³=(a-b)(a²+ab+b²)

i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)

i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)

I almost gave up typing. Quite stressful, but its fine

Answer:

£9360

Step-by-step explanation:

£18000× 12 ÷100 = £2160

£2160 × 4 = £8640

£18000 - £8640 = £9360

Therefore his car will be worth £9360 after 4 years

Answer:

[tex]\huge\boxed{\sf Option\ A }[/tex]

Step-by-step explanation:

10.6 ÷ 2 = 5.3

Now,

Part A)

(10 ÷ 2) + (0.6 ÷ 2)

= 5 + 0.3

= 5.3

No need to solve other parts. The correct option is A.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:The sides stayed the same length

The angles stayed the same size

Step-by-step explanation:

Identify the translations.

The orange triangle, A, is the pre-image.

The pre-image moved

✔ 5

units horizontally to form the purple triangle, B.

The pre-image moved

✔ 4

units vertically to form the green triangle, C.

Answer:

the slope is POSITIVE (answer A)

Step-by-step explanation:

The line goes through: (-1, -2)  and ( 2, 1)

Then the slope can be calculated as:

slope = (y2 - y1) / (x2 - x1)

in our case:

slope = (1 - -2) / (2 - -1) = (1 + 2) / (2 + 1) = 3 / 3 = 1

Therefore, the slope is POSITIVE (answer A)

Answer:

84 units

Step-by-step explanation:

14 times 6 equals 84

Answer:

2y ( -5,2)

Step-by-step explanation:

you start at 2y and go down 7 times and move 2 times left