There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.



1. How many band members are sixth graders?
band members

2. How many band members are seventh graders?
band members

3. What percentage of the band members are eighth graders?

Answer:

n ≥ 8

Step-by-step explanation:

Let R and E stand for the number of cows owned by Richard and Ellis, respectively.

We are told that:

R = n

E = 4n

Then:

R = n+13   [Bought 13 cows]

and

E = 4n-9  [Sold 9 cows]

Still:

E > R  [Ellis still has more cows]

Therefore:

4n-9 > n+13

3n  > 22

n > 7 1/3

Since no rancher wants 1/3 of a cow, we need to round either up or down to a whole number.  The least value of n is therefore 8 cows or higher.  Since 8 is a valid number, change the > inequality to ≥.

n ≥ 8

Answer:

20y

Step-by-step explanation:

Answer:

The answer is undefined

Because it passes through x

Answer: 120

Step-by-step explanation:

Answer:

[tex]x=2\\x=-\frac{1}{2}[/tex]

Step-by-step explanation:

1) Move terms to the left side.

[tex]3x=2x^{2} -2\\3x-(2x^{2}-2)=0[/tex]

2) Distribute.

[tex]3x-(2x^{2} -2)=0\\3x-2x^{2} +2=0[/tex]

3) Rearrange terms.

[tex]3x-2x^{2} +2=0\\-2x^{2} +3x+2=0[/tex]

4) Common factor.

[tex]-2x^{2} +3x+2=0\\-(2x^{2} -3x-2)=0[/tex]

5) Divide both sides of the equation by the same term.

[tex]-(2x^{2} -3x-2)=0\\2x^{2} -3x-2=0[/tex]

6) Use the quadratic formula.

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

[tex]2x^{2} -3x-2=0\\a=2\\b=-3\\c=-2[/tex]

[tex]x=\frac{-(-3)+\sqrt{(-3)^{2} -4*2(-2)} }{2*2}[/tex]

7) Simplify.

Evaluate the exponent

[tex]x=\frac{3+\sqrt{(-3)^{2}-4*2(-2) } }{2*2}[/tex]

[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]

Multiply the numbers

[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]

[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]

Add the numbers

[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]

[tex]x=\frac{3+\sqrt{25} }{2*2}[/tex]

Evaluate the square root

[tex]x=\frac{3+\sqrt{25} }{2*2} \\x=\frac{3+5}{2*2}[/tex]

Multiply the numbers

[tex]x=\frac{3+5}{2*2}[/tex]

[tex]x=\frac{3+5}{4}[/tex]

8) Seperate the equations.

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

[tex]x=\frac{3+5}{4}[/tex]

[tex]x=\frac{3-5}{4}[/tex]

9) Solve.

Rearrange and isolate the variable to find each solution.

[tex]x=2\\x=-\frac{1}{2}[/tex]

Answer:

10x+18

Step-by-step explanation:

2x*5x=10x

-3*6=18

10x+18=

x=1.8

Answer:

Step-by-step explanation:

What

Answer:

here,

circumference of circle (c)=2πr

=2×22÷7×2.4

15.0857143.

It is 103.68 degrees :)

Answer:

Step-by-step explanation:

Given expression:

Distribute this to get:

Correct choice is D

Answer:

D. 5 (2) + 5 (7)

Step-by-step explanation:

Given expression:

• 5(2 + 7)

Distribute this to get:

• a(b + c) = ab + ac

• 5(2 + 7) = 5(2) + 5(7)

correct choice is D

Answer:

6.2

Step-by-step explanation: TOOK THE TEST

Answer:

B - 2469 and F - 183

Step-by-step explanation:

B and F are whole numbers because they don't have any decimal places.

Answer:

b

Step-by-step explanation:

because it's a b so you would automatically wanna put down B because It's a B

Answer: 2/6

Step-by-step explanation:

There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.

2/6, 1/3, or approx. 33.3%

A number cube will have six sides and two out of six will be greater than four, therefore, there is around a 33.3% chance you will roll a number greater than 4. :)

Answer:

-10, -8

Step-by-step explanation:

a + b = -18

a * b = 80

Solve:

from the first eq.

a = 18 - b

replacing this value in the secon eq.

(18-b)*b = 80

18*b + b*-b = 80

-b² + 18b = 80

-b² + 18b - 80 = 0

b = {-18±√((18)² - (4*-1*-80))] /(2*-1)

b = {-18±√(324.320)} / -2

b = {-18±√4} / -2

b = {-18±2} / -2

b₁ = {-18-2} / -2 = -20/-2 = 10

b₂ = {-18+2} / -2 = -16/-2 = 8

The two number must be negatives, so the numbers are:

-10 and -8

Check:

-10 + (-8) = -10 - 8 = -18

-10*-8 = 80

Answer: 2,511 km

Step-by-step explanation:

5828.6*4.75 = 2,510.85 rounded to 2,511

Answer:

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

5(x+1) = 12

5(x+1) = 5x + 12

5(x+1) = 5x + 5

5(x=1) = 0

what one is an infinite solution

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

[tex] - 8(6x + 3) = - 8 \times 6x + - 8 \times 3 \\ = - 48x - 24[/tex]

Answer:

8, 2, 14

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then

24 ÷ 12 = 2 ← value of 1 part of the ratio, then

4 parts = 4 × 2 = 8

7 parts = 7 × 2 = 14

The 3 numbers are 8, 2, 14

Answer:

A) y-4=-1/2(x+6)

Step-by-step explanation:

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

m=(0-4)/(2-(-6))

m=-4/(2+6)

m=-4/8

simplify

m=-1/2

y-y1=m(x-x1)

y-4=-1/2(x-(-6))

y-4=-1/2(x+6)

Answess

Step-by-step explanation:

Answer:

Options A, D, and E (0, 5, -1)

Step-by-step explanation:

A vertical asymptote is located where the denominator is equal to 0. Therefore, x=0, x=5, and x=-1 are all vertical asymptotes.

Answer:

2.5 x 10^7

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The question is pretty much asking to find the LCM of the denominators, which is the LCD, Least Common Denominator

First list out the two numbers, then list its multiples,

6: 6, 12, 18, 24

9: 9, 18, 27

since both of them have 18, and its the least, that is the LCD/LCM

Answer:

7.07

Step-by-step explanation:

Angle M is 63 degrees because all 3 angles must add to 180.

Now use the law of sines:

sin(90)/x = sin(63)/6.3

Cross multiply: 6.3 sin (90) = x sin (63)

Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x

Use a calculator: 7.07

Answer:

ye

Step-by-step explanation:

Answer:

7/24

Step-by-step explanation:

Hope this helps

Answer:

1/6

Step-by-step explanation:

Decimal Form 0.16

Answer:

6.5

Step-by-step explanation:

6.5 is 13 divided by 2. You can check your work by adding 6.5 to 6.5 or multiplying 6.5 by 2