To add 20 and 6 using a number line, you would start at 20 and count on by 5 once (for 25) and then by 1 once (for 26). Counting on by 10s isn't feasible as 6 isn't a multiple of 10.
Explanation:To add 20 and 6 using counting on by 5s or 10s with a number line, you would start at number 20, then you would progress along the line in increments of 5 until you've added 6. However, since 6 is not a multiple of 5, you would need to count on by 5 once (to get to 25) and then count on by one, one more time (to get to 26). If you were counting on by 10s, you wouldn't be able to, as 6 isn't a multiple of 10.
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Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to trains. 12:24 1:3 3 over 1 4 to 12
The phrase "3 over 1" would be used to describe the proportion of vehicles to trains. The (C) option is that.
What is the ratio?A ratio in mathematics shows how many times one quantity is present in another.
For instance, if a dish of fruit's fully oranges and six lemons, the ratio of oranges and lemons is eight to six.
This ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons and oranges is 6:8.
Two quantities are compared to form a ratio.
An equality of two ratios is a percentage.
So, the following are some of the car models that Alex has collected:
There are 8 airplanes.
There are 4 trains in all.
There are 12 vehicles.
Consequently, the car-to-train ratio is 12:4.
This is further simplified to its most basic form:
= 12:4
= 3:1
Therefore, the phrase "3 over 1" would be used to describe the proportion of vehicles to trains. The (C) option is that.
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Complete question:
Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to trains.
A. 12:24 FAST HELP
B. 1:3
C. 3 over 1
D> 4 to 12
Look at square ABCD below.
What is its perimeter?
A. 12√2 units
B. 3√2 units
C. 18 units
D. 12 units
The perimeter of the square is 12√2 units
What is perimeter of a square?A square is a quadrilateral that has all it's sides equal and all it's angles equal. The sum of interior angles of a square is 360°. This means that each angle of a square is 90°.
The perimeter of a square is obtained by adding all the sides.
Therefore the perimeter of a square = 4l
A (-1,4) and B ( 2,7)
line AB = √2-(-1))² + (7-4)²
AB = √ 3²+3²
AB = √9+9
AB = √18 units
therefore since the sides of a square are equal, the perimeter = 4× √18
= 4×3√2
= 12√2 units
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Answer:
Option A. 12√2 units
Step-by-step explanation:
A laboratory technician needs to make a 28-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
The total amount of acid in the final equation solution is 700% + 420% = 1120%, which is 40% of the total volume:
What is equation?In arithmetic equations, the identical sign (=) is used to denote the equivalence of two assertions. It is demonstrated that using mathematical methods, which have acted as manifestations of reality, it is feasible to compare different numerical factors. For fact, the equal sign splits the number 12 into two separate parts, even if the answer is y + 6 = 12. It is possible to determine how many letters are also present on either end of this character.
Here,
Let x be the number of liters of pure acid solution needed, and y be the number of liters of 20% acid solution needed to make 28 liters of a 40% acid solution.
x + y = 28 (total volume of the solution)
100x + 20y = 40(28) (total amount of acid in the solution)
Simplifying the second equation, we get:
100x + 20y = 1120
Dividing both sides by 20, we get:
5x + y = 56
Now we can solve the system of equations by substitution or elimination. Here we will use the substitution method.
Solving the first equation for y, we get:
y = 28 - x
Substituting this expression for y into the second equation, we get:
5x + (28 - x) = 56
Simplifying and solving for x, we get:
4x = 28
x = 7
So the technician needs 7 liters of pure acid solution and 21 liters of 20% acid solution to make 28 liters of a 40% acid solution.
To check this answer, we can calculate the amount of acid in each solution and verify that the total amount of acid in the final solution is indeed 40%.
7 liters of pure acid solution contain 7 × 100% = 700% acid.
21 liters of 20% acid solution contain 21 × 20% = 420% acid.
The total amount of acid in the final solution is 700% + 420% = 1120%, which is 40% of the total volume:
1120% ÷ 28 liters = 40%
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3. A car wheel with a diameter of 18 inches spins at the rate of 10 revolutions per second. (i) What
is the car's angular speed in radians per hour? (ii) What is the car's linear speed in miles per
hour?
Answer:
i- 72000 * π radians per hour, ii- 65,940 miles per hour.
Step-by-step explanation:
(i) To find the car's angular speed in radians per hour, we need to find the number of radians the wheel rotates in one revolution, then multiply that by the number of revolutions per second. The number of radians in one revolution is equal to the circumference of the wheel divided by the wheel's radius. The wheel's circumference is given by 2 * π * r, where r is the wheel's radius (18 inches / 2 = 9 inches). Then, the number of radians per revolution is:
2 * π * r / r = 2 * π
So, the number of radians per second is:
2 * π * 10 revolutions per second = 20 * π radians per second
Finally, to convert radians per second to radians per hour, we multiply by 3600 (the number of seconds in an hour):
20 * π * 3600 seconds/hour = 72000 * π radians per hour
(ii) To find the car's linear speed in miles per hour, we need to multiply the wheel's circumference by the number of revolutions per hour. The wheel's circumference is given by 2 * π * r, so the linear speed is:
2 * π * r * 10 revolutions per second * 3600 seconds/hour = 18 * π * 10 * 3600 miles per hour
The answer is approximately equal to 65,940 miles per hour.
A dice is rolled 4 times. What is the probability of showing a 3 on every roll?
Answer:
there is a 1 in 24 chance
Step-by-step explanation:
1(3)/6x4= 1/24
I need help on This question I’ll give you brainliest
What do the shade area in the following venndigrams represent?
Shaded region in venn diagram is the common area of set A and set B. It represent A∩B.
About venn diagramHow to present a set can also be expressed with a picture or diagram called a Venn Diagram. The Venn diagram was introduced by a British mathematician named John Venn (1834 – 1923).
Instructions for creating a Venn diagram include:
The universal set (U) is depicted as a rectangle and the letter U is placed in the upper left corner. Every set that is in the universe set is represented by a simple closed curve. Each member of the set is indicated by a dot. If a member of a set has many members, then the members do not need to be written down.Learn more about venn diagram at https://brainly.com/question/29301560
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find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis. calculator
The volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis is 8π/3 cubic units.
The volume of the solid generated by revolving this region about the x-axis can be found using the method of cylindrical shells. The volume is given by:
V = ∫[0, 2] 2πx(2 - 2√x) dx
Evaluating the definite integral:
V = π ∫[0, 2] (4x - 4x^(3/2)) dx
= π [2x^2 - 4/3 x^(3/2) ] |_0^2
= π [4 - (4/3)(2^(3/2))]
= 8π/3.
Therefore, the volume of the solid generated by revolving the region bounded by the lines y = 2 and y = 2√x and the x-axis about the x-axis is 8π/3 cubic units.
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--The question is incomplete, answering to the question below--
"Find the volumes of the solids generated by revolving the regions bounded by the lines and curves about the x-axis
y=2√x, y=2, x=0"
Given circle B, with a radius of 16 cm and regular of 7 sides polygon inscribed inside the circle, calculate the area of the segment of the circle.
step by step
write a function which takes some number of degrees, positive or negative, and returns the reduced equivalent in the interval [ 0 , 360 ) [0, 360) [0,360). make sure your function is named deg reduce. g
Below is a function which takes some number of degrees, positive or negative, and returns the reduced equivalent in the interval [0 , 360 )
How to write a function which takes some number of degrees, positive or negative?Below is a Python function that takes an angle in degrees and returns its equivalent in the interval [0, 360):
def deg_reduce(degrees):
return degrees % 360
The % operator in Python is the modulo operator, which returns the remainder of a division. By using degrees % 360, the function returns the reduced equivalent of degrees in the interval [0, 360).
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List all numbers from the given set that are: a. natural numbers, b. whole numbers, c. integers, d. rational numbers,
e. irrational numbers, f. real numbers.
{-7.2/-3.0.0.1. √5.3.5. √64}
Natural numbers: 0.1 Whole numbers: 0, Integers: -7, -3, 0, 1, Rational numbers: -7.2, -3.0, 0.1, 3.5,Irrational numbers: √5, √64, Real numbers: -7.2, -3.0, 0.1, √5, 3.5, √64.
What is the Natural numbers ?Natural numbers are the positive integers, 1, 2, 3, 4, 5, and so on. They are also known as the counting numbers or the positive integers. They are the numbers used for counting and measuring. Natural numbers are the building blocks of mathematics, and are used in the formation of other number systems, such as integers, rational numbers, real numbers, and complex numbers.
Natural numbers are also used in the formation of equations and formulas, as well as in the counting of objects, in the measurement of distances, and in many other areas of mathematics. Natural numbers are an important part of everyday life, and are used in everything from telling time to counting money.
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A die is tossed 960 times and it falls with 5 upwards 184 times. Is the die unbiased at a level of significance of 0.01
Answer:
838,200
Step-by-step explanation:
960x5x184 =838,200
what is the equation of 2x=50
Answer:
A vertical line that passes through the coordinate (25, 0).
Equation of the vertical line is x = 25
Step-by-step explanation:
2x = 50
x = 25
If the mass of a typical star is 2.5x 1034 grams and there are approximately 600,000,000,000 stars in a galaxy, what
is the total mass of these stars?
Answer:
1.55 x [tex]10^{15}[/tex]
or 1,550,000,000,000,000
Step-by-step explanation:
2.5 x 1.034 x [tex]10^{3}[/tex] x 6 x [tex]10^{11}[/tex]
15.51 x [tex]10^{14}[/tex]
1.551 x [tex]10^{15}[/tex]
Myron ran three miles for his workout today. He ran the first mile in 6.75 minutes, the second mile in 7.1 minutes, and the third mile in 7.25 minutes. What was his total time for the three miles?
Answer:
21.1 minutes
Step-by-step explanation:
Time for first mile + second + third
6.75+ 7.1+ 7.25
21.1 minutes or (21.1 * 60) seconds = 1266 seconds
The resultant of four forces is 1000 N in the direction 30° west of north. Three of the forces are 400 N, 60° north of east; 200 N, south; and 400 N, 530 west of south. Find the rectangular components of the fourth force. 2.7 Ans: F = 380N. F₁ = 960,3N. F₁ = 1003N. 21.6°W of N.
May someone help me with these questions. (they are the pictures)
Answer:
For the first picture:
[tex]\frac{1}{3} < \frac{2}{6}[/tex] is false because [tex]\frac{1}{3} x 2 = \frac{2}{6}[/tex]
[tex]\frac{1}{3} > \frac{2}{6}[/tex] is also false because [tex]\frac{1}{3} x 2 = \frac{2}{6}[/tex]
[tex]\frac{1}{3} =\frac{2}{6}[/tex] is true, so the 3rd is the correct option.
For the second picture:
[tex]\frac{3}{6} ?\frac{1}{4}[/tex] using the LCM method, of 6 and 4 = 12
then it will be [tex]\frac{6}{12} > \frac{3}{12}[/tex] so the symbol will be > (1st option)
For the third picture:
[tex]\frac{2}{5} =\frac{1}{2}[/tex] is false
[tex]\frac{2}{5} < \frac{1}{2}[/tex] is true, so the 2nd is the correct option.
[tex]\frac{2}{5} > \frac{1}{2}[/tex] is false
For the forth picture:
The correct answer is the 3rd option ([tex]\frac{5}{8} > \frac{1}{2}[/tex])
Have a wonderful day! :-)
What is the percent of increase from 40 to 74?
The percentage of increase is given by the equation A = 85 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage change be represented as P
Now , the equation will be
The initial value be represented as A = 40
The final or increased value be B = 74
So , the percentage change P = [ ( | A - B | ) / A ] x 100
Substituting the values in the equation , we get
The percentage change P = [ ( 34 ) / 40 ] x 100
The percentage change P = 0.85 x 100
The percentage change P = 85 %
Hence , the percentage change is 85 %
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for what period of yime is the projectile at least 240 feet of the ground.
The period of time during which the projectile is at least 240 feet above the ground is 3 seconds <= t <= 5 seconds.
What is time of projectile motion?
Vertical motion totally determines the time for projectile motion.
The height of the projectile above the ground after t seconds is given by s = -16t^2 + 128t. To find the period of time during which the projectile is at least 240 feet above the ground, we need to find the values of t for which s >= 240.
Solving for t:
-16t^2 + 128t >= 240
-16t^2 + 128t - 240 >= 0
t^2 - 8t + 15 >= 0
(t - 5)(t - 3) >= 0
So t must be between 3 and 5 seconds, inclusive.
Therefore, the period of time during which the projectile is at least 240 feet above the ground is 3 seconds <= t <= 5 seconds.
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A rectangle is 1/2 feet long and 3/4 feet wide. What is the area of the rectangle? pls hurry i give brainliest for whos answer first
Answer:
3/8 feet²
---------------------------
Area of the rectangle is the product of its two dimensions:
A = lwSubstitute the dimensions and find the area:
A = 1/2 × 3/4 = 3/8 feet²Find the perimeter of a parallelogram with sides measuring 3 3/10 meters 8 5/10 meters 3 3/10 meters and 8 5/10
The perimeter of this parallelogram is equal to 236/10 or 23 6/10 meters.
What is a parallelogram?In Mathematics, a parallelogram simply refers to a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.
Mathematically, the perimeter of a parallelogram can be calculated by using this mathematical expression;
Perimeter = A + B + C + D
Where:
A, B, C, and D represents the length of sides of a parallelogram.
Substituting the given parameters into the perimeter of a parallelogram formula, we have the following;
Perimeter = 3 3/10 + 8 5/10 + 3 3/10 + 8 5/10
Perimeter = 33/10 + 85/10 + 33/10 + 85/10
Perimeter = 66/10 + 170/10
Perimeter = 236/10 or 23 6/10 meters.
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fine the equation of the line through the point (2,-6) that is parallel to the line with the equation -14x+3y=-4
Answer:
Step-by-step explanation:
To find the equation of a line that is parallel to another line, we can use the same slope for both lines. The slope of the line with the equation -14x + 3y = -4 can be found by rearranging the equation into slope-intercept form:
y = -14/3x - 4/3
The slope of this line is -14/3.
To find the equation of a line that passes through the point (2,-6) with the same slope, we can use the point-slope form of a line:
y - y1 = m(x - x1)
Where:
m is the slope of the line
(x1, y1) is a point on the line
Plugging in the values from the given information:
m = -14/3
x1 = 2
y1 = -6
y - (-6) = -14/3 (x - 2)
y + 6 = -14/3x + 14
So the equation of the line through the point (2,-6) that is parallel to the line with the equation -14x + 3y = -4 is:
y + 6 = -14/3x + 14.
A family spends $51,000 a year for living expenses. If prices increase 5 percent a year for the next two years, what amount will the family need for their annual living expenses after two years?
At the end of two years if prices increase 5 percent the family needs to spend a total of $56227.50 on their annual living expenses.
What are percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given that, the family spends $51,000 a year.
The first increase of 5% is given as:
A = (51000) (1 + 5/100)
A = 51000 (105/ 100) = 53550
For the second year increase:
A = 53550 (105 / 100) = 56227.50
Hence, at the end of two years the family needs to spend a total of $56227.50 on their annual living expenses.
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my equation is on the photo I need help
Answer: A = 6
Step-by-step explanation: Here to help! So, if "a" wants to know the numerator of the fraction, all you have to do is to multiply 0.6 by 10, and that would get you 6/10. 6/10 is equivalent to 60% or 0.6. :))))
A Ferris wheel at a carnival has a diameter of 52 feet. Suppose it turns at a rate of 3 revolutions per minute.
The angular speed of the wheel is 0.314 rad/sec and the linear speed of the car is 8.164 feet/second .
What is angular speed ?Angular speed is defined as the rate of change of angular displacement, and it is expressed as follows: ω = θ/ t
one revolution = 360°
180° = π
360° = 2π
3 revolution = 3× 2π = 6π
1 minute = 60 ×1 = 60s
angular speed = 6× 3.14/60
= 0.314 rad/s
The linear velocity =
V = wr
r = d/2
r = 52/2 = 26 feet
V = wr
V = 0.314× 26
V = 8.164 feet/second
Question: A Ferris wheel at a carnival has a diameter of 52 feet. Suppose it turns at a rate of 3 revolutions per minute. i. What is the angular speed of the wheel.
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Combine like terms 5n+8+2n-1
A) Identify the odd one.
A) 5y + 6 - 2xy
B) 5k - k(1 + 3)
C ) 7j - (j +4) = 25
D) 8k
B) Which is not an option?
A) x2+3
B) x6
C) (x)(x)(x)(x)(x)(x)
D) (x3)2
Answer:8k
Step-by-step explanation:i did the test and got it write
Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system.1 -5 3 0 -20 3 -7 0 40 0 1 2 -20 0 4 6 0
The next two elementary row operations that should beRow4=Row4-4*Row3. This will make the element zero. The second step is we divide 8 by -2 to get 4th unknown as d=8/(-2)=-4.
What is matrix?A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics. In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital applications as well.
Presently 3rd element in Row 3 is the pivot element,
For solving the matrix, we need to make 3rd element of fourth row as zero,
Hence, we do the operation Row4=Row4-4*Row3.
This will make the element zero.
The second step is we divide 8 by -2 to get 4th unknown as d=8/(-2)=-4.
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find the base of the triangle, if its area is 18 hectares and height is 60 dam
Answer:
Step-by-step explanation:
The formula for the area of a triangle is:
1/2×base×height
If you know the area of the triangle and height you can apply the area formula:
A=1/2×base×height
in reverse to calculate the length of the base:
b=2A/h
given, h=60dam
A=18
so, b=2×18/60
b=36/60
b=0.6
The answer is 0.6
Explain two ways that knowing the probability of an event occurring can
be useful.
If knowing the probability of an event occurring is known then it can be turned into one's favour as well as it can be obstructed if not in favour.
What is probability?A way to determine the likelihood of something occurring is through probability. Many things are hard to predict with 100 percent certainty. We can only predict the likelihood of an event occurring or how likely it is using it. A probability can be between 0 and 1, with 0 signifying an impossibility and 1 signifying a certainty.
If the likelihood of an event occurring is known, one can attempt to influence the outcome in accordance with the likelihood.
The possibility of altering the likelihood that the event will go in one's favour is another useful tool.
Therefore, being aware of the probability can be beneficial.
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