Answer:
47.12388
Step-by-step explanation:
Wheel Diameter = Wheel 2 x Radius; 50 cm / 2 = 25 cm.
For one rotation of the wheel, the distance travelled = circumference of the wheel.
Circumference = 2 x pi x radius = 2 x 3.1415926858 x 25 cm = 157.07 cm approx.
Distance travelled with 30 turns of the wheel = 30 x 157.07 = 4712.39cm approx.
Distance in meters = 4712.39cm / 100 = 47.12388 meters approximate (1 cm = 1/100th of a meter).
hope it helps you
The requried bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.
What is the circumference?The circumference of the bicycle wheel is equal to its diameter multiplied by π (pi).
Here
Circumference = diameter x π = 50 cm x 3.14 ≈ 157 cm
To find the number of rotations, we need to divide the distance traveled by the circumference of one rotation:
Number of rotations = Distance ÷ Circumference
Number of rotations = 300000cm ÷ 157 cm = (3000 m ÷ 157 cm) ÷ (100 cm ÷ 1 m) = 1910.82
Therefore, the bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.
Learn more about circumference here:
brainly.com/question/6465134
#SPJ3
Which phrase describes the algebraic expression 3x-4? a. the sum of three times a number and four b.four less than three times a number c.the quotient of three times a number less four d. the difference between four and three
Answer:
b.four less than three times a number
Step-by-step explanation:
because it's -4 , it will be four less than
and ×3 is three times the number
Answer:
b. four less than three times a number
Step-by-step explanation:
Got it right on the test
Please help! Correct answer only, please! I need to finish this assignment this week. Find the product AB, if possible. Explain if it is not possible. A. B. C. D.
Answer:
C
Step-by-step explanation:
The matrices are conformable for multiplication.
Multiply and sum the product of corresponding elements in row 1 of matrix A with elements in column of matrix B.
AB = [tex]\left[\begin{array}{ccc}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}10+6\\6-3\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}16\\3\\\end{array}\right][/tex] → C
The total cost in dollars to buy
uniforms for the soccer team players
can be found using the function
y = 28.95x + 4.25, where x is the number
of uniforms purchased. If there are a
minimum of 16 players and at most 20
players on the team, what is the domain
of the function for this situation?
A 0
B 0
C {16, 17, 18, 19, 20}
D {467.45, 496.40, 525.35, 554.30,
583.25}
The instructions state "there are a minimum of 16 players and at most 20 players on the team". This means that we have between 16 and 20 players, inclusive of both endpoints. Therefore, x can take on any whole number between 16 and 20. The domain is the set of allowed x inputs of a function.
Please help! Is it 0.0364?
Trudy has a collection of 11 dice, 4 of which have twelve sides.
If Trudy randomly rolls 4 dice in a specific order, what is the probability that just the first 2 of the chosen dice have twelve sides?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.0636
Step-by-step explanation:
The probability the first die has twelve sides is 4/11.
The probability the second die has twelve sides is 3/10.
The probability the third die does not have twelve sides is 7/9.
The probability the fourth die does not have twelve sides is 6/8.
The probability of all four events is:
4/11 × 3/10 × 7/9 × 6/8 = 0.0636
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First Equation: 5x − 4y = 28 Second equation: 3x - 9y = 30
Answer:
use -9 to multiply the first equation
use -4 to multiply the second equation.
Step-by-step explanation:
5x-4y=28.....eqn (1)×-9
3x-9y=30....eqn(2)×-4
-45x+36y=-252
-(-12x+36y=-120)
therefore, -33x÷33 =-132÷-33
x=4.
substitute (x=4) in any of the equation. I'm just going to use eqn 1.
5x-4y=28
5(4)-4y=28
20-4y=28
-4y =28-20
-4y÷-4 = 8÷-4
y=-2
so, x=4, y=-2
Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g
5(4)-4(-2)=28.
Answer:
The first equation should be multiplied by 9 and the second equation by −4.
Step-by-step explanation:
Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5, y si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19 . Hallar el número.
Resolviendo un sistema de ecuaciones, veremos que el número de dos cifras es 97.
¿Como encontrar el sistema de ecuaciones?
Podemos escribir un número de dos cifras como:
a*10 + b
Donde a y b son dos numeros de una cifra.
Entonces podemos escribir las restricciones:
"Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5"
((a*10 + b) - 17)/(a + b) = 5
"si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19"
(a*10 + b - 2)/(b - 2) = 19
Entonces tenemos un sistema de ecuaciones, que vamos a escribir como:
a*10 + b - 17 = (a + b)*5
a*10 + b - 2 = 19*(b - 2)
Donde pase los denominadores a la derecha, así es más simple de leer.
Para resolver esto, primero debemos simplificar ambas ecuaciones, vamos a obtener:
a*10 + b - 17 = a*5 + b*5
a*10 + b - 2 = 19*b - 38
Moviendo los terminos con variables a la izquierda y los constantes a la derecha:
a*10 + b - a*5 - b*5 = 17
a*10 + b - 19*b = -38 + 2
Terminamos de simplificar:
a*5 - b*4 = 17
a*10 - b*18 = -36
Ahora debemos aislar una de las variables en una de las ecuaciones, vamos a aislar a en le primera:
a = (17 + b*4)/5
Ahora reemplazamos esto en la otra ecuación y resolvemos para b:
10*(17 + b*4)/5 - b*18 = -36
2*(17 + b*4) - b*18 = -36
34 + b*8 - b*18 = -36
34 - b*10 = -36
-b*10 = -34 - 36 = -70
b = -70/-10 = 7
Para encontrar el valor de a usamos la ecuación:
a = (17 + b*4)/5 = (17 + 7*4)/5 = 9
Entonces podemos concluir que el número es 97.
Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:
https://brainly.com/question/13729904
Heres is an problem please answer
Answer:
2
Step-by-step explanation:
the - means you have to subtract to add. so subtract 3 over 4 and you get 2
Which of the following is the solution set of the given equation?
(x - 3) - 2(x + 6) = -5
Answer: x=−10
Step-by-step explanation:
x−3−2(x+6)=−5
x+−3+(−2)(x)+(−2)(6)=−5(Distribute)
x+−3+−2x+−12=−5
(x+−2x)+(−3+−12)=−5(Combine Like Terms)
−x+−15=−5
−x−15=−5
−x−15+15=−5+15
−x=10
Maya sells candles to her 5 neighbors. Each neighbor buys 2 boxes of candles. There are 6 candles in each box. What is the total number of candles that all of her neighbors will get?
Answer:
Each neighbor will get 12 candles so in total, 60 candles will be sold.
Step-by-step explanation:
Solve the following equation for x: 2x − 3y = 6
Answer:
[tex] x = 3 + \frac{3y}{2} \\ [/tex]
Step-by-step explanation:
[tex]2x - 3y = 6 \\ 2x = 6 + 3y \\ \frac{2x}{x} = \frac{6 + 3y}{2} \\ x = 3 + \frac{3y}{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day !
Haley used unit cubes to build a rectangular prism that is 5 units long, 3 units wide, and 4 units tall. Jeremiah used unit cubes to build a rectangular prism that has twice the volume of Haley's prism. Jeremiah's prism is 4 units long and 3 units wide. How tall is Jeremiah's prism?
Answer:
10 units
Step-by-step explanation:
Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.
The volume of Haley's prism is:
V = 5 * 3 * 4 = 60 cubic units
Jeremiah's prism has twice the volume of Haley's:
V(J) = 2 * 60 = 120 cubic units
This implies that:
120 = 4 * 3 * h
where h = height of prism
=> 120 = 12h
=> h = 120 / 12 = 10 units
Jeremiah's prism is 10 units tall.
Given the equation,D=m/v if D=6/7 and =m+3 then m=. A.18 B.-18 C.15
Answer:
m = 3.86
Step-by-step explanation:
D = 6 / 7
D = m + 3
6 / 7 = m + 3
6 / 7 + 3 = m
m = 3.86
Please help me with this. You need to find what’s the blue cone! Its due soon please help
Answer:
the first one is 4+10+10=24
the second one is 10-4=6
the third one is =4
the pink cone=10
the blue cone=4
I hope this help
and i am sure that is the answer
please give me the brainlest
A line has x-intercept -8 and y-intercept 5. Determine the slope of a line perpendicular to this line.
Answer:
- 8/5
Step-by-step explanation:
A line has x-intercept -8 and y-intercept 5.
It means the line has passes through:
(-8, 0) and (0, 5)Slope as per slope formula:
m = (y2-y1)/(x2-x1) m = (5 - 0)/(0 + 8) = 5/8Perpendicular lines have slopes negative reciprocal to each other
So the slope of the perpendicular line is:
m = -1/(5/8) = - 8/5Part 1= You are shopping for a shirt, and you want to get the best deal. You go to two stores, the first of which is JCPenney. What is the cost of the shirt at JCPenney?
Part 2=The second store you go to is Macy's. What is the cost of the shirt at Macy? *
Part 3=Which store has the better deal? *
A- Macy's
B- JCPenney
Answer:
Macy’s
Step-by-step explanation:
let’s find the cost of each shirt
JCPenny’s: 14.99 x 0.80 = $11.99
11.99 x 1.06 = $12.70
The final cost of the JCPenny shirt is $12.70
Macy’s: 17.99 x 0.65 = $11.69
11.69 x 1.07 = $12.51
The final cost of the Macy’s shirt is $12.51
$12.51 is less than $12.70
So, the Macy’s shirt is the better deal :)
WILL MARK BRAINLIEST Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign. What inequality is shown in the graph
Answer:
y<-2x-3
Step-by-step explanation:
y∠mx+b
find the slope m : x=0, y=-3 (0,-3)
x=-3, y=3 (-3,3)
m=y2-y1/x2-x1
m=3-(-3)/-3-0
m=6/-3 =-2
y=-2x+b b=-3 when x=0, y=b
y<-2x-3
Answer:
y<-2x-3
Step-by-step explanation:
PLEASE SOMEONE HELP ME ON 4,5, AND 6 ASAP.
Answer:
see below
Step-by-step explanation:
4. If ∠AYX = 25.5° that means that ∠XYZ = 25.5 * 2 = 51° because YA is the angle bisector.
5. If ∠XYZ = 64°, ∠AYZ = 64 / 2 = 32°.
6. You can construct ∠P and PQ by using a protractor. I'm not sure how to attach an image so I'll just tell you the answer I got for c which is about 3 cm.
Here is a list of numbers.
12 13 19 16
32 15 13
a) Work out the range of the numbers in the list.
b) Work out the median of the numbers in the list.
_________________________________
Answers:Range=20
Median=15
Step by step explanation:
Solution,
Given data=12,13,19,16,32,15,13
Highest score=32
lowest score=12
a. Range= highest score- lowest score
= 32-12
= 20
B. Arranging the data in ascending order
= 12,13,13,15,16,19,32
N( total number of items)= 7
Median= (N+1/2)th item
=(7+1/2) th item
= (8/2) th item
= 4 th item
Median = 15
Hope it helps
Good luck on your assignment
_________________________________
if f(x)=2x+3, what is f(-2)
Answer:
-1
Step-by-step explanation:
x=(-2)
2(-2) +3
-4 +3
= -1 .
simplify √x^2+6x+9 if x≥3
Answer:
simplified expression for √x^2+6x+9 if x≥3
is x+3
Step-by-step explanation:
[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]
but given that x≥3
then we have to negate solution -(x+3)\
Then simplified expression for √x^2+6x+9 if x≥3
is x+3
Noami visited the fabric store and purchased two yards of 45'' flat fold material at $2.29 yd. She then bought two more yards of 60'' 100$ cotton broadcloth at $5.89 yd. What was her
total bill, including a 5% sales tax?
Answer:
Total bill = $17.18
Step-by-step explanation:
Niomi purchased 2 yards of 45" flat fold material at $2.29/yd.
Cost of 2 yard of 45" flat fold material = 2.29 × 2
= $4.58
Shen then bought 2 more yards of 60" 100% cotton broadcloth at $5.89.
Cost of 2 more yards material = 5.89 × 2
=$11.78
Total cost of 4 yards cloth material with sales tax
= (4.58 + 11.78) + 5% of (4.58 + 11.78)
= $16.36 + (5% of $16.36)
= 16.36 + (0.05 × 16.36)
= 16.36 + 0.818
= $17.178
= $17.18
Which of the following best explains why tan(5pi/6) doesn't equal tan(5pi/3)
1. The angles do not have the same reference angle.
2. Tangent is positive in the second quadrant and negative in the fourth quadrant
3. Tangent is negative in the second quadrant and positive in the fourth quadrant
4. The angles do not have the same reference angle or the same sign
Answer:
1. The angles do not have the same reference angle
Step-by-step explanation:
The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)
The angles do not have the same reference angle.
_____
5π/6 has a reference angle of π/6.
5π/3 has a reference angle of π/3.
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
2π = 360°
π = 180°
5π/6 = [tex]\frac{5 * 180}{6}[/tex] = 150° (The reference angle here is 180° - 150° = 30°
5π/3 = [tex]\frac{5 * 180}{3}[/tex] = 300° (The reference angle here is 360° - 300° = 60°)
The reference angles are not the same and so the value of their tangents are not equal.
The diagram shows part of a regular polygon. The sides of this polygon subtend angles of 20° at the centre of the polygon. How many sides does the polygon have?
360÷20 = 18sides
U divide 360 by 20 because angles at the center add up to 360°
The given polygon will have 18 sides in total.
Given information:
The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 20° at the center of the polygon.
Let the polygon has n number of sides.
Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.
The sum of angles made by all the sides will be equal to 360 degrees.
So, the number of sides n can be calculated as,
[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]
Therefore, the given polygon will have 18 sides in total.
For more details, refer to the link:
https://brainly.com/question/22831826
On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum value of (1.5, 1), crosses the x-axis at (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 6). Which interval for the graphed function contains the local maximum?
Answer:
D Over the interval [4, 7], the local minimum is -7.
Step-by-step explanation:
Find the volume of the figure.
*
9 cm
10 cm
2 cm
10 cm
9 cm
Answer:
Look up how to find volume and you'll get the answer right away
Step-by-step explanation:
Which of the following expressions can be used to find the area of the polygon? Select all that apply.
An irregular shape that is a rectangle with a piece missing from the upper right corner. The bottom length is twenty feet. The left side width is nine feet. The top length is eighteen feet with a rectangle cut out of the upper right corner. The right side width is six feet.
A. (9 × 20) – 6
B. (9 × 18) – (6 × 2)
C. (9 × 18) + (6 × 2)
D. (20 × 6) + (18 × 3)
E. (20 × 9) – (3 × 2)
Answer:
Option E
The shape is got using the expression: (20 X 9) - (3 X 2)
Step-by-step explanation:
to get the area of the shape, all we need to do is subtract the area of the smaller rectangular cut out from the area of the bigger rectangle.
The main trick here will be identifying the dimensions of both the larger rectangle and the smaller rectangle.
Dimensions of the larger rectangle:
Since we are told that the cut out is at the upper right corner, we can get the dimensions of the larger rectangle using the bottom length and the left width.
Thus we have Length = 20 feet, width = 9 feet
Dimensions of the smaller rectangular cutout.
We can get this by subtracting the dimensions of the top and right edges of the shape from their counterparts in the larger rectangle ( length an width)
length of cutout = ( 20-18) = 2 feet
width of cutout = (9-6) = 3 feet
Hence, the area of the shape is got using the expression:
(20 X 9) - (3 X 2)
Need help can someone plz help me solved this problem ASAP! Need help I will mark you as brainiest
Answer: 2, 6
Step-by-step explanation:
Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.
RS + ST > RT and RS + RT > ST and ST + RT > RS
2x + 4x > 12 2x + 12 > 4x 4x + 12 > 2x
6x > 12 12 > 2x 12 > -2x
x > 2 6 > x -6 < x
2 < x x < 6 invalid
Answer: 2 < x < 6
Graph: O----------------------O
2 6
Note: -6 is invalid because you cannot have a negative length.
two dice are thrown together find the probability of getting
a.) two 5s
b.) a total of 8
c.) two perfect square
d.) two even numbers
help me with this question please....
Answer:
The answer is 2940
Step-by-step explanation:
HAVE A GOOD DAY!
Solve by completing the square.
s2 + 22s = 27
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
Answer:
s = 1.17, -23.17
Step-by-step explanation:
s^2 + 22s = 27
Take the coefficient of s
22
Divide by 2
22/2 =11
Square it
11^2 =121
Add this to both sides
s^2 + 22s+121 = 27+121
s^2 + 22s+121 = 148
(s+11)^2 = 148
Take the square root of each side
sqrt((s+11)^2) = ±sqrt(148)
s+11 = ±sqrt(148)
Subtract 11 from each side
s+11-11 = -11 ±sqrt(148)
s = -11 ±sqrt(148)
s = -11 + sqrt(148) = 1.1655
- 11 - sqrt(148)=-23.166
Rounding to the nearest hundredth
s = 1.17, -23.17