The seventh and eighth-grade bands held a joint concert. Together, there were 188 band members. If the eighth-grade band is 3 times as big as the seventh-grade band, how big is the eighth-grade?

Let x=7th band and let y=8th band.

a. 47 eighth-grade band students
b. 63 eighth-grade band students
c. 141 eighth-grade band students

Part B:
Write the two equations for this situation.

Answer:

13.5 in, or 34.3 cm.

Step-by-step explanation:

First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.

Hopefully this helps- let me know if you have any questions!

Answer:

5/6, or about 0.833

Step-by-step explanation:

For student 7, the tack landed point up 5 times out of 6. So for student 7, the experimental probability that the tack lands point up is 5/6, or about 0.833.

Answer:

1.274cm

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Given:

[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]

[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]

[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]

[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]

The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

Let x be the speed of the current in km/h units

Speed of the boat traveling against the current= (15-x) km/h

Time spent traveling 36 miles against the current=36/15-x hours

Time spent rafting36miles (with the current) =35/x hours

Equation=36/x-36/15-x=9

Multiply both sides by x×(15-x)

36×(15-x) - 36x = 9x×(15-x)

540 - 36x - 36x=135x-9x²

9x²-207x+540=0

x²-23x+60=0

(x-3)×(x-30) = 0

Roots are x= 3 and  x= 30

Since 15-x must be positive, the only root x = 3 survives

Hence:

Speed =3 km/h

Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

Learn more about speed here:https://brainly.com/question/4931057

Answer:

Step-by-step explanation:

He is incorrect.

We are not only subtracting 1 from 5 but 1/4 also,  so the result has to be less than 4.

5 - 1 1/4

= 5 - 1 -1/4

= 3 3/4.

Answer:

B. 44cm

Step-by-step explanation:

d(diameter) = 2r (radius)

d = 2 X 22 cm

d = 44 cm

Answer:

45% x 72.00 = 32.4

Step-by-step explanation:

hope this helped :)

Answer:

If 45% of an item is 72.00 what is the original price is, $160.00

Step-by-step explanation:

Let's see

[tex]\\ \bf\bull\rightarrowtail z^2-9[/tex]

[tex]\\ \bf\bull\rightarrowtail z^2-3^2[/tex]

[tex]\\ \bf\bull\rightarrowtail (z+3)(z-3)[/tex]

Answer:

(z+3)(z-3)

Step-by-step explanation:

a^2 - b^2 = (a+b)(a-b) where a = z and b= 3

Answer:

670.21 inches^3

Step-by-step explanation:

To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:

V = 33.51032

Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.

V = 20 * 33.51032

V = 670.2064

If you round to 2 decimal places, this becomes 670.21.

Answer:

yes

Step-by-step explanation:

YOU DID IT'S A GOOD DAY

the answer is 29.02

first I had to find out if it was cents or dollars I just thought of cents

so I did 42 cent minus 13.02 and that equals to 29.02

Answer:

distance in 3 hours = 150 miles

distance in 1 hour = 150/3 = 50 miles

distance in 9 hours = 50 × 9 = 450 miles

Answer:

Sammy's dad traveled 450 miles in 9 hours.

Step-by-step explanation:

mph = [tex]\frac{Miles}{Hours}[/tex]

Miles = 150

Hours = 3

Plug into the formula of distance/time

[tex]\frac{150}{3} = 50mph[/tex]

Sammy's dad is driving at 50mph

In three hours you can use this formula:  [tex]50mph=\frac{miles}{9}[/tex]

Multiply both sides by 9:  [tex]50mph * 9 =\frac{miles}{9} *9[/tex]

Solve:

[tex]50mph * 9 =miles[/tex]

[tex]450 =miles[/tex]

Sammy's dad traveled 450 miles in 9 hours.

Hope this helped! :)

Answer:

A

Step-by-step explanation:

From inspection of the graph:

[tex]\dfrac{a}{b}=\dfrac36=\dfrac12[/tex]

[tex]\dfrac{c}{d}=\dfrac24=\dfrac12[/tex]

[tex]\dfrac{d}{c}=\dfrac42=2[/tex]

[tex]ab=3 \cdot 6 = 18[/tex]

[tex]cd=2 \cdot 4 = 8[/tex]

[tex]a+b=3+6=9[/tex]

[tex]c+d=2+4=6[/tex]

Therefore, the only expressions that are equal are:

[tex]\implies \dfrac{a}{b}=\dfrac{c}{d}[/tex]

Answer:

x=120

y=60

Step-by-step explanation:

i) y=60 [ corresponding angles]

ii) x + 60 = 180 [linear pair]

or, x = 180- 60

therefore, x is equal to 120

(I don't really know how to explain it though.)

Answer:

D. [tex]\displaystyle No\:Solution[/tex]

Explanation:

The absolute value of an integer is NEVER negative, hence, your answer. ON THE OTHER HAND, these are the only exceptions:

[tex]\displaystyle -6 = -|3[-2]| \\ -6 = -|3[2]|[/tex]

The negative absolute value of an integer however, IS negative.

I hope you are capable of differentiating between the two, and as always, I am joyous to assist anyone at any time.

Answer:

240

Step-by-step explanation:

Let's see

[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x(x+6)+6(x+6)=0[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]

[tex]\\ \rm\rightarrowtail x=-6[/tex]

Answer:

The answer would be A) 4

Answer: No Solution

Step-by-step explanation:

To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.

However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.

7 can never equal 4/5, so there is no solution :)

Answer:

all angles are congruent

Answer:

ac is parallel to df because it doesn't intersect with each other

Answer: 189

All Steps and Information Found in Image.

Hope This Helped!

Answer:

0.736

Step-by-step explanation:

Answer:

7.36

Step-by-step explanation:

Calculator...

Answer:

parallel

Step-by-step explanation:

If the distance between two lines never changes, they are parallel lines.

Answer:

parallel

Step-by-step explanation:

parallel lines never have a distance change between them

Answer:

The graph of g is translated down 5 units from the graph of f and stretched horizontally

Step-by-step explanation:

was correct on test :)

pls brainliest XD

.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.

Answer:

C=2πr

r=C/2π

 198/2π

≈31.51268cm