The given number is a rational number.
Given:
The given number is [tex]\dfrac{20}{6}[/tex].
To find:
Whether the given number is rational or irrational.
Explanation:
Rational number: It can be defined in the form of [tex]\dfrac{p}{q}[/tex], where [tex]p,q[/tex] are integers and [tex]q\neq 0[/tex].
Irrational number: It cannot be defined in the form of [tex]\dfrac{p}{q}[/tex], where [tex]p,q[/tex] are integers and [tex]q\neq 0[/tex].
The given number is in the form of [tex]\dfrac{p}{q}[/tex], where [tex]p=20,q=6[/tex] both non zero integers.
Therefore, the given number is a rational number.
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There are 6 baskets on the table. Each basket has 144 crayons in it. How many crayons are there?
Wood floors are being refinished in an office. If the room is a square with 15 foot 6 inch sides, what will it cost to have the floor refinished at $5.98 per square foot?
$40.18
$240.25
$1,436.70
$1,455.30
Answer:
Option c $1436.70
Step-by-step explanation:
It is given that room is a square, and each sides = 15 ft. 6 inches
Since 15 ft. 6 inches = 186 inches or 15.5 feet
Area of square = Length × width
Area of the room = 15.5 × 15.5 = 240.25 square feet.
Cost to have the floor refinished per square foot = $5.98
Total cost for the room = 240.25 × 5.98 = 1436.695 rounded to $1436.70
Total cost for refinished would be $1436.70
Could someone tell me the step to step guide on how to do any subject formulas question in Maths and could someone help me do the subject formulas questions in the photo☺
How many equal line segments are needed to make a row of 6 triangles
Answer:
To make a triangle you need three line segments.So,First triangle consist of three and then 2 segments are added,then 2,....so,on, till you obtain six triangles.
Total number of Line segments
=3+2+2+2+2+2
=13
Figure is attached below.
To draw 6 triangles in a row , Total number of line segments needed=13
The distance between the baseball stadium and the airport is 1.6x10^6 centimeters. Which unit of measurement is most appropriate to measure the distance. ( i need to
Get this right or i will fail)
A. Inches
B. Milimeters
C. Kilometers
D.feet
Answer:
C. kilometers
Step-by-step explanation:
Use the clues to find the mystery number.
The number has 6 digits.
The total value of the largest digit is 8000.
The digit in the tens place is 2 less than the digit in the hundreds place.
The sum of the digit in the tens place and the digit in the hundreds place is equal to the digit in the thousands place.
The digit in the tenths place has the same value in every place.
The remaining digit is the largest even digit.
What is the mystery number?
4/11+s=9/22 how to I find the answer to this
Kendra has 70$. Alonzo has one tenth as much as Kendra. Markio has 10times as much money as Kendra. How much money does Alonzo have? How much money does Markio!
Answer:
700$
Step-by-step explanation:
2,107,954 the value of the digit 0 is
one serving of soybeans contains 10 grams of protein, which is 4 times the amount in one serving of kale. write and solve an equation to find the amount of protein in one serving of kael
One serving of kale contains 2.5 grams of protein. This is determined by the equation 4x = 10, where x represents the protein content in one serving of kale, and solving for x.
Let x represent the amount of protein in one serving of kale. The given information states that one serving of soybeans contains 10 grams of protein, which is 4 times the amount in one serving of kale.
So, the equation is:
4x = 10
Now, solve for x:
x = [tex]\frac{10}{4}[/tex]
x = 2.5
Therefore, one serving of kale contains 2.5 grams of protein.
The complete question is:
One serving of soybeans contains 10 grams of protein, which is 4 times the amount in one serving of kale. Write and solve an equation to find the amount of protein x in one serving of kale.
How to convert 5 1/4 into a decimal
5 1/4 convert into a decimal is 5.25.
DecimalIn order to convert a fraction to a decimal first step is to divide the numerator by the denominator.
Where:
Numerator=1
Denominator=4
Hence:
1/4=0.25
5 1/4=5+0.25
5 1/4=5.25
Inconclusion 5 1/4 convert into a decimal is 5.25.
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The mixed number 5 1/4 is converted into a decimal by dividing the fraction part (1/4) to get 0.25 and adding it to the whole number (5) resulting in 5.25.
Explanation:To convert the mixed number 5 1/4 into a decimal, first understand that it consists of a whole number 5 and a fraction 1/4. The fractional part 1/4 can be converted to a decimal by dividing the numerator (1) by the denominator (4). Performing this division: 1 ÷ 4 = 0.25. Now, simply combine the whole number with the decimal, which gives 5 + 0.25 = 5.25. Therefore, 5 1/4 as a decimal is 5.25.
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the science department buys the equipment shown in the table they bought all three items this year and how many years do they have to buy all three items again
a sequence has a first term of 2 and a constant ratio of _3/2 what are the first five terms of the sequence
what names apply to the square root of 36?
Im desperate! please help!
Should an estimate or the exact answer be calculated? Then do the appropriate calculation.
The conservation club participated in a beach cleanup program over a 5 week period. Their goal was to collect at least 60 pounds of trash. They collected pounds in each of the first two weeks and pounds for each of the last three weeks. Did the club reach its goal?
A.
An estimate can be used to know if the goal was reached.
12 • 2 + 13 • 3 = 63
At least 63 lb were collected.
B.
The exact answer is needed to know if the goal was reached.
pounds were collected.
Write two mixed numbers between 3 and 4 that have a product between 9 and 12
Numbers with the same absolute value are__________
Algebra write all of the digits that can replace each
Write an expression in words that describes the relationship between the number of quarts and the number of cups
Write the number described by 1 ten 16 ones
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.
The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.
Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?
Select each correct answer.
(0, 33)
(4, 36)
(4.8, 30.5)
(9, 26)
(2, 22)
Let
x--------> the horizontal distance in feet
y--------> the vertical height in feet
we know that
The constraints are
1) [tex]y\geq 3x[/tex]
2) [tex]24\ ft\leq y \leq 33\ ft[/tex]
3) [tex]x\leq10 \ ft[/tex]
Let's verify each case to determine the solution to the problem.
case A) point [tex](0,33)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]33\geq 3*0[/tex]
[tex]33\geq 0[/tex] ---------> is true
constraints 2
[tex]24\ ft\leq 33 \leq 33\ ft[/tex]-------> is true
constraints 3
[tex]0\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](0,33)[/tex] meet all the constraints for a successful launch
case B) point [tex](4,36)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]36\geq 3*4[/tex]
[tex]36\geq 12[/tex] ---------> is true
constraints 2
[tex]24\ ft\leq 36 \leq 33\ ft[/tex]-------> is not true
constraints 3
[tex]4\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](4,36)[/tex] does not meet all restrictions for a successful launch
case C) point [tex](4.8,30.5)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]30.5\geq 3*4.8[/tex]
[tex]30.5\geq 14.4[/tex] ---------> is true
constraints 2
[tex]24\ ft\leq 30.5 \leq 33\ ft[/tex]-------> is true
constraints 3
[tex]4.8\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](4.8,30.5)[/tex] meet all the constraints for a successful launch
case D) point [tex](9,26)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]26\geq 3*9[/tex]
[tex]26\geq 27[/tex] ---------> is not true
constraints 2
[tex]24\ ft\leq 26 \leq 33\ ft[/tex]-------> is true
constraints 3
[tex]9\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](9,26)[/tex] does not meet all restrictions for a successful launch
case E) point [tex](2,22)[/tex]
Substitute the values of x and y in each of the constraints
constraint 1
[tex]22 \geq 3*2[/tex]
[tex]22\geq 6[/tex] ---------> is true
constraints 2
[tex]24\ ft\leq 22 \leq 33\ ft[/tex]-------> is not true
constraints 3
[tex]2\leq10 \ ft[/tex]--------> is true
therefore
the ordered pair [tex](2,22)[/tex] does not meet all restrictions for a successful launch
the answer is
[tex](0,33)[/tex]
[tex](4.8,30.5)[/tex]
Answer:
The ordered pairs that meet all the constraints for a successful launch and make sense in context of the situation are:
(0,33) and (4.8,30.5)
Step-by-step explanation:
Here x represent the horizontal distance and y represent the vertical distance.
From the given information in the question we can make the following inequalities:
The rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft.y ≥ 24
and x ≤ 10
The vertical height must be at least three times as high as the horizontal distance.i.e. y ≥ 3x
No rocket should go higher than 33 ft.i.e. y ≤ 33
Hence, after combining all the inequalities we have:
x ≤ 10
24 ≤ y ≤ 33
and y ≥ 3x
1)
(0, 33)
As (0,33) satisfies all the constraints of the given problem.
Hence, this ordered pair will lie in the feasible region.
2)
(4, 36)
As the height that is the y-value has to be less than 33.
Hence, the ordered pair (4,36) does not lie in the feasible region.
3)
(4.8, 30.5)
It satisfies all the inequalities of a successful launch.
Hence, this ordered pair will lie in the feasible region.
4)
(9, 26)
As the property that y ≥ 3x mjust be satisfied.
But here at x=9
y ≥ 27
but we are given y=26.
Hence, this ordered pair also does not lie in the feasible region.
5)
(2, 22)
As the minimum vertical distance must be 24.
But here we are given y=22.
Hence, this ordered pair does not lie in the feasible region.
Light travels at a speed of 3.0 times 10 to the 8th power m/s. How many seconds does it take to get to earth if earth is 3.99 times 10 to the 16th power meters away?
Choose the constant term that completes the perfect square trinomial.
X^2 + 1/3x
1/36 is the answer
to ur problem
(^_>*)
Maggie has a ribbon 27 feet long what is the length of the ribbon in yards
27 feet is 9 yards
hope this helps
Evaluate the expression. 16(84+124) Enter your answer as a number, like this: 42 80 pts
Answer:
Add 84 + 124 = 208
multiply by 16 = 3328 :)
solve for E.
50−3.6(E−4)=32
Ann travels from town A to town B in 3 hours. She then takes another hour to travel from town B to town C. The distance between town A and town B is 100 miles. The distance between town B and town C is 40 miles. What is Ann's average speed for the whole journey?
Ann's average speed for the entire journey from town A to town C is calculated by dividing the total distance traveled, which is 140 miles, by the total time taken, which is 4 hours, resulting in an average speed of 35 mph.
Calculating Average Speed for the Whole Journey
To calculate Ann's average speed for the entire trip from town A to town C, we first need to find the total distance traveled and the total time taken. Ann travels 100 miles from A to B, then another 40 miles from B to C, totaling 140 miles for the distance. The time taken for the first leg of the trip is 3 hours, and for the second leg, it's 1 hour, totaling 4 hours for the entire journey.
Now, we calculate the average speed using the formula:
Average Speed = Total Distance / Total Time
Average Speed = 140 miles / 4 hours = 35 miles per hour (mph).
This is the average speed for the whole trip from town A to town C.
the men's world record for the high jump is 2.45 meters. A puma can jump about 1.9 times as high. what is the highest a puma can jump?
Santiago receives an allowance of 7$ every week
How much total does he receive after 4 weeks
If the simplest interest on $2000 for two years is $280 then what is the interest rate