At Lincoln Middle School, 1/3 of the students play a musical instrument. Of the students who play instruments, 3/4 tried out for the class play. What is the probability that a student
selected at random plays a musical instrument and tried out for the class play?
25%
33%
66%
75%

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

Answer: the answer is D

Step-by-step explanation:

The domain is the x-values and can not be greater than 35.

Answer:

Step-by-step explanation:

Answer:

Spanish?

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

x+x+8=104

2x=96

x=48

48+8=56

Answer:

Step-by-step explanation:

greater than 1   ,  is your teacher just giving you brain teaser questions?  these seem like they are .. "out in the weeds"  type of questions,  not really useful math   :/  

Answer:

QR, QT

Step-by-step explanation:

A radii is a line from the center of the circle to the circumfrence of the circle.

In this case the radii are QR, QT, and QK because they all start from the center of the circle which is point Q and stop at the circumfrence of the circle.

Since QK isn't an answer choice the only  answers are ...

QR and QT

Answer:

4090 ml - 4.9L

1.4km - 4901m

Step-by-step explanation:

A liter is made up of 1000 ml so 4.9 l is equvilant to 4,900 ml.

A kilometre same as litre is made up of a 1000 m. So 1.4 km is 1400m

However, ml and l is a measurement of volume while m and km is a measurement of distance.

Answer:

(2,9)

Step-by-step explanation:

we start at the point (2,3) and moving up 6 units

when we move up or down, we are changing the value of the y-coordinate. Since we are moving up, the value of the y-coordinate increases (makes sense, if you are thinking about a graph. The further you go up, the larger the y value becomes).  

However, the x-coordinate will stay the same (no instructions on moving left or right {that changes the x value}). That means the y value will increase by 6 while the x value will stay the same.

so add 6 to 3 and get 9, and add nothing to 2

therefore, the point we end on will be (2,9)

if you would like to see a graph for clarity/visualization, please see below

Answer:

-11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y intercept is at  (0,1) so b=1

slope is go 4 down 1 right so slope is -4

Equation is

-4x+1=y

Answer:

8

Step-by-step explanation:

V=whl=2·1·4=8

Volume = width times length times height = 2 x 1 x 4 =8

I hope this helps!!

Answer:

gradient = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

8y + 4x = 5 ( subtract 4x from both sides )

8y = - 4x + 5 ( divide the terms by 8 )

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form

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

Given a line with gradient m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

2 is the gradient of a line that is perpendicular to 8y+4x=5​

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane

The slope of line can also be called ad gradient of a line.

The standard form of line or slope intercept form of a line is given by

y=mx+c

where m is the slope of line and c is the y intercept.

The given equation of line is  8y+4x=5​

We need to convert the equation of line to Slope intercept form

8y=5-4x

Divide both sides by 8

y=5/8-4/8x

y=-1/2x+5/8

So m is -1/2.

Two lines are said to be perpendicular if m₁m₂ =-1

if m₁=-1/2

then we need to calculate m₂

-1/2m₂=-1

m₂=2

Hence gradient of a line that is perpendicular to 8y+4x=5​ is 2.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

i). 2    ii). 2

Step-by-step explanation:

i). 4p = 18 - 5(2)

4p = 18 - 10

4p = 8

p = 2

ii). 4(2) = 18 - 5q

8 = 18 - 5q

-10 = - 5q

q = 2

Answer:

401.92

Step-by-step explanation:

The formula used the calculate the volume of a cylinder is

πr^2h

π= 3.14

H= 8

r= 4

Volume= 3.14 × 4^2 × 8

= 3.14 × 16×8

= 401.92

Hence the volume is 401.92

Answer:

4.2 inches

Step-by-step explanation:

Basketball rim:

diameter = 18 inches

r = 18/2 = 9 inches

Ball:

Circumference of ball = 30 inches

2πr = 30 inches

[tex]2*3.14*r = 30\\\\r = \frac{30}{2*3.14}\\\\r = 4.8 inches[/tex]

Distance between the ball and the rim in a shot when the ball goes exactly in the center of the rim = radius of the rim - radius of the ball

   = 9 - 4.8

   = 4.2 inches

Since both equations equal y they need to equal each other.

2x - 5 = -3x + 10

Add 3x to both sides:

5x -5 = 10

Add 5 to both sides

5x = 15

Divide both sides by 5

X = 3

Now solve for y by replacing x with 3:

Y = 2(3)-5 = 6-5 = 1

Y = -3(3)+ 10 = -9+ 10 = 1

Check: replace y with 1 and solve for x:

1 = 2x -5

Add 5 to both sides

6 = 2x

Divide both sides by 2

X = 3 ( True)

Answer:

1 2/8 OR 1 1/4

Step-by-step explanation:

4/8 + 2/8 + 4/8 =

6/8 + 4/8 =

10/8 =

1 2/8 OR 1 1/4

Hope that helps!

Answer:

15/8

Step-by-step explanation:

the mixed answer is 1 7/8

but also the answer is 15/8

Answer: True-  [tex]\dfrac{9}{50}[/tex]

Step-by-step explanation:

Given

There are 50 letter tiles

9 of them is m letter

Favorable outcomes to draw an m letter tile is 9

The total ways to draw a single tile is 50

Probability is the ratio of favorable to the total outcomes

[tex]P=\dfrac{9}{50}[/tex]

So, the given statement is true

Answer:

2/9

Step-by-step explanation:

1/3=3/9

5/9-3/9=2/9

Answer:

2/9

Step-by-step explanation:

1/3= 3/9

5/9 - 3/9 = 2/9

hope this helps

Answer:

2/3

Step-by-step explanation:

When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.

So the slope of the second line is going to be the same as the first line: 2/3

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

Point-slope equation for line of slope 3 that passes through (1,-2):

y+2 = 3(x-1)

Answer:

A) $2,344.53

B) $2,340.36

C) Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B

Step-by-step explanation:

We solve for A and B using Compound Interest formula

A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?

First, convert R as a percent to r as a decimal

r = R/100

r = 8.5/100

r = 0.085 rate per year,

Then solve the equation for A

The formula is given as

A = Pe^rt

A = 1,978.00(2.71828)(0.085)(2)

A = $2,344.53

B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?

First, convert R as a percent to r as a decimal

r = R/100

r = 8.5/100

r = 0.085 rate per year,

Then solve the equation for A

The formula is given as

A = P(1 + r/n)^nt

P = Principal = $1978

r = 0.085

n = compounded quarterly = 4

A = 1,978.00(1 + 0.085/4)(4)(2)

A = 1,978.00(1 + 0.02125)(8)

A = $2,340.36

C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?

Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B

Answer:£2121.8

Step-by-step explanation:

Given

Principal money [tex]P=[/tex]£2000

rate of interest is  [tex]R=3\%[/tex]

time period [tex]T=2\ yr[/tex]

The amount by compound interest is given by

[tex]A=P[1+\frac{R}{100}]^T[/tex]

Putting values

[tex]\Rightarrow A=2000[1+0.03]^2\\\Rightarrow A=2121.8[/tex]

So, after two years it will be £2121.8

Answer:

10.55

Step-by-step explanation: