Answer: b. The radius is the same as a cylinder with a volume of 500(3) and the same height.
Step-by-step explanation:
The volume of a cylinder is 3 times that of a cone (assuming they have the same perpendicular height and radius).
3x+2>29. solve for x
Answer:
x>9
Step-by-step explanation:
3x+2−2>29−2
3x>27
divide by 3
3x/3>27/3
what percentage of 5/2 hours is 15 minutes?
Answer:
10 %
Step-by-step explanation:
15 mn = 1/4 h
We have :
\(\frac{\frac{1}{4} }{\frac{5}{2} } =\frac{1}{4} \times \frac{2}{5} =\frac{2}{20} =\frac{1}{10}=0.1\)
Then the percentage that 15 mn represents of 5/2 h is :
0.1 × 100 = 10 %
What is the value of n in the figure?
Answer:
n = 14
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle equals the sum of the measures of the two remote interior angles.
12n - 8 = 8n - 4 + 52
4n = 56
n = 14
Enter a range of values for x.1416202x+109/15-5
26
Here, we want to write a range of values for x.
The shape we have is not a parallelogram but we have two equal sides
If it was a complete parallelogram, the two marked angles will be equal
But since what we have is not a complete parallelogram,
then;
\(\begin{gathered} 2x\text{ + 10 < 62 } \\ 2x\text{ < 62 - 10} \\ \\ 2x\text{ < 52} \\ \\ x\text{ < }\frac{52}{2} \\ \\ x\text{ < 26} \end{gathered}\)Is of I ready please help me ?
Answer: N has to be a negative. hope this helps
Step-by-step explanation:
Find the standard form of the equation of the line through (8,-3) that is parallel to the line 3y=4x+8
The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41
How to represent equation in standard form?The equation of the line in standard form can be represented as follows:
Ax + By = C
where
A, B and C are constantTherefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;
Parallel lines have the same slope.
Hence,
3y = 4x + 8
y = 4 / 3 x + 8 / 3
The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.
y = 4 / 3 x + b
-3 = 4 / 3 (8) + b
b = -3 - 32 / 3
b = -9 - 32/ 3
b = -41 / 3
Hence,
y = 4 / 3 x - 41 / 3
multiply through by 3
3y = 4x - 41
Therefore, the standard form is 4x - 3y = 41
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If a central intercepts an arc of 6.3 cm. in a circle whose
radius is 4.2 cm., find the measure of the central in radians.
Perform the indicated operation. (2u2 - 7) ÷ (u + 3)
Answer:
2u+3-7/u
Step-by-step explanation:
factor the numerator and denominator and cancel the common favtors
How many prime numbers are there between 40 and 60
Answer:
20.
Step-by-step explanation:
60 - 40 = 20
Answer:
There are 5 prime numbers between 40 and 60.
Step-by-step explanation:
A prime number is a number that is ONLY divisible by itself and 1 with no remainder. For example 3 can only be divided by 1 or 3 without a remainder left.
Between 40 and 60 there are 5 prime numbers: 41, 43, 47, 53, and 59.
HELP ASAP!!!
This circle is centered at the origin, and the length of its radius is 3. What is
the circle's equation?
A. x + y3 = 27
B. x² + 7 = 9
c. x² + 7 = 3
D. x+y = 3
a randomly selectee sample of teenager were asked 'how many times per week do you eat red meat?' A column graph has been constructed from the results.
a. How mang teenagers gave data in the survey?
b. How many of the teenagers ate red meat at least once per week?
c. What percentage of the teenagers ate red meat more than twice per week?
d. Describe the distribution of the data.
The number of teenagers who gave data for the survey was 52 teenagers .
The number of teenagers who ate red meat at least once a week was 50 teenagers.
The percentage that ate red meat more than twice per week was 77 %.
The distribution can be described as normal.
How to find the number of teenagers ?The number of teenagers in the survey :
= ∑ ( Frequency of number of times meat eaten )
= 2 + 3 + 7 + 9 + 10 + 8 + 7 + 5 + 1
= 52 teenagers
Number of teenagers eating at least once a week :
= ( 52 total - 2 eating zero times )
= 50 teenagers
Percentage eating red meat more than twice :
= ( 52 total - 2 eating zero times - 3 eating once - 7 eating twice ) / 52 x 100 %
= 77 %
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please help i do not understand
Answer:
i. a⁶ + a² cannot be simplified.
iii. (b⁵)³ = b¹⁵
The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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Ravi says,” if 10 years are added to my age, then my age becomes 25.”if Ravi’s present age is x years,
then find the linear equation satisfying the given condition.
Answer:
The linear equation satisfying the given condition is,
\(x=t+15\)
where x is Ravi's age and t is the number of years
(after 10 years (t=10) his age becomes 25)
Step-by-step explanation:
Let x be Ravi's age
Now, his current age is unknown, but if you add 10 to it, then it becomes 25, so
x + 10 =25
so, his current age is x = 25 =10
x = 15
Now, we find the linear equation satisfying the given condition,
Let t be the number of years that have passed since the present time
so, if 0 years have passed, his age will be 15 years
after 1 year, his age will be 16 years
after 10 years, his age will be 25 years and so on
so
\(x = t + 15\)
this satisfies the given condition, since if we add ten years i.e t = 10,
then we get 25
The equation is:
⇨ x + 10 = 25Work/explanation:
Here's the linear equation for Ravi's age.
Ravi's age is x.
If you add 10 to x you get x + 10.
That gives 25.
So the linear equation is x + 10 = 25.
Boyles Law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 5L the pressure is 88kPa ( kilo pascals ). What is the volume of the pressure is 55 kPa?
Help due !!! Asap
The final volume of the gas is 8 litres when the pressure is 55 kilo pascals.
What is the final volume of the gas?Boyle's law simply states that "the volume of any given quantity of gas is inversely proportional to its pressure as long as temperature remains constant.
Boyle's law is expressed as;
P₁V₁ = P₂V₂
Where P₁ is Initial Pressure, V₁ is Initial volume, P₂ is Final Pressure and V₂ is Final volume.
Given that:
Initial volume of the gas V₁ = 5LInitial pressure of the gas P₁ = 88 kPaFinal pressure of the gas P₂ = 55 kPaFinal volume of the gas V₂ = ?Plug the given values into the above formula and solve for the final volume:
88 kPa × 5L = 55 kPa × V₂
V₂ = 440 / 55
V₂ = 8 L
Therefore, the final volume is 8 litres.
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Bridgett makes and sells children’s hair bows.
Bridgett’s expenses were $14.74 for supplies.
Bridget sold 12 bows for $4 each.
What was Bridgett’s profit?
Answer: $33.26
Step-by-step explanation:
12 x 4= 48 (amount of money made from sales)
48 - $14.74 = $33.26
So she made $33.26 in profits
A high school championship football game was attended by 1,580 fans. There were 640 were out-of-state fans at the game. The other fans who attended were local.
Which statement is TRUE when interpreting the ratio of out-of-state fans attending the game to the total number of fans attending? A) 32 out of every 79 fans attending were out-of-state fans B) 47 out of every 79 fans attending were out-of-state fans C) more than 47 out of every 79 fans attending were out-of-state fans D) at least 32 out of every 79 fans attending were out-of-state fans
Answer:
A)
Step-by-step explanation:
total number of fans = 1580out of state fans = 640local fans = total number of fans - out of state fans = 1580 - 640 = 940ratio of out of state fans to total number of fans:
640 : 1580 = 640/1580 = 32/79
So 32 out of every 79 fans were out of state fans
Answer:
A) 32 out of every 79 fans attending were out-of-state fans
Step-by-step explanation:
640 were out-of-state fans : 1,580 fans in the game
32 were out-of-state fans : 79 fans in the game
✔A) 32 out of every 79 fans attending were out-of-state fans
B) 47 out of every 79 fans attending were out-of-state fans
C) more than 47 out of every 79 fans attending were out-of-state fans
D) at least 32 out of every 79 fans attending were out-of-state fans
How do I divide this x^4 -4x^3-77x^2-10x-70/ x+7
The quotient of division of x⁴-4x³-77x²-10x-70 / x+7 is x³-11x²-10x
What is division of the polynomials?Dividing polynomials is an algorithm to solve a rational number that represents a polynomial divided by a monomial or another polynomial. The divisor and the dividend are placed exactly the same way as we do for regular division.
Given are two polynomials, x⁴-4x³-77x²-10x-70 and x-7 we need to divide them,
x⁴-4x³-77x²-10x-70 / x+7
Multiply x-7 by x³, then subtract the result from the polynomial,
(x+7)x³ = x⁴-7x³
x⁴-4x³-77x²-10x-70 - (x⁴+7x³) = -11x³-77x²-10x-70
Now, multiply x-7 by -11x², then subtract the result from the polynomial,
-11x²(x+7) = -11x³-77x³
-11x³-77x²-10x-70 - (-11x³-77x³) = -10x-70
Now, multiply x-7 by -10, then subtract the result from the polynomial,
-10(x+7) = 10x+70
-10x-70 - (-10x-70) = 0
Hence, the quotient of division of x⁴-4x³-77x²-10x-70 / x+7 is x³-11x²-10x
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Eduardo buys a sandwich and a drink.
Use mental math to find the amount of
change he gets from $10.00
Answer:
Eduardo will get $4.03
Step-by-step explanation:
To solve this problem, first add 4.99 and 0.98 together, remember to line up the decimals
4.99
+ 0.98
-------------
5.97
Now take 5.97 from 10.00
first you can't take 7 from 0 so you take 1 from the tens place making 10.00 into 9.9 10, now you can take 7 from 10 which equals 3. Into the tenths place you can take 9 from 9 which is a 0. Lastly 9 - 5 is 4, adding the decimal back you get
10.00
- 05.97
--------------
$ 4.03
3.
Simplify the expression
12a¹6f4
6a-166-4
3
3a³b4
9a46²
3a-46-2
Hello!
you want just the answer, so the answer is:
3a⁸b⁴
PLEASE HELP!! a bag contains 10 marbles. four of them are red, three blue, two white, and one yellow. A mare ke drawn at random. What is the probability that it is blue?
Answer:
The probability that one marble drawn at random is not blue is 70%
Complete the table for the given rule.
Rule: y = 5x
y. X
5. ?
4. ?
2. ?
Answer: 1 = 5
4/5 = 4
2/5 = 2
Answer:
The answer is
1
4/5
2/5
3.6= − a/0.8 − 1.6 − 0.8 a −1.6
The value of a for the given expression will be -3.31.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a −1.6. The value of a will be calculated as below,
3.6 = − a/0.8 − 1.6 − 0.8 a −1.6
3.6 + 1.6 + 1.6 = -a / 0.8 - 0.8a
6.8 = ( -a - 0.64a ) / 0.8
5.44 = -1.64a
a = -3.31
Therefore, the value of a will be -3.31.
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6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...
Step-by-step explanation:
\(U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252\)
In triangle XYZ, m∠Z = (3m − 12)° and the exterior angle to ∠Z measures (2m + 2)°. Determine the value of m.
m = 38
m = 20
m = 15
m = 14
Answer:
\(m=38\)
Step-by-step explanation:
An interior angle and its corresponding exterior angle are supplementary, so:
\(3m-12+2m+2=180 \\ \\ 5m-10=180 \\ \\ 5m=190 \\ \\ m=38\)
The first aircraft has 88 more seats than the second aircraft. The third aircraft has 16 fewer seats than the second aircraft. If their total number of seats is 384, find the number of seats for each aircraft.
The first aircraft had 192 seats, the second aircraft had 104 seats and the third aircraft had 88 seats
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let a represent the sits in the first aircraft, b represent the second aircraft and c represent the third aircraft.
The first aircraft has 88 more seats than the second aircraft. Hence:
a = b + 88 (1)
Also, The third aircraft has 16 fewer seats than the second aircraft:
c = b - 16 (2)
If their total number of seats is 384:
a + b + c = 384 (3)
From the three equations:
a = 192, b = 104, c = 88
The first aircraft had 192 seats, the second aircraft had 104 seats and the third aircraft had 88 seats
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what is the equation of a line that passes through the points (2,5) and (4,3)
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
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SOMEONE HELPPP MEEE !!!!!!
Answer:
you cant see it and we dont know who tom is is there story?
Step-by-step explanation:
What is the slope of the line that passes through the points
( 9, 4) and (9, -5)
Answer:
x = 9
Step-by-step explanation:
Answer:
\(slope \: = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } \)
\( = \frac{ - 5 - 4}{9 - 9} \)
\( = \infty \)