Answers
Answer:
a. [tex] \frac{2}{3} [/tex]
Step-by-step explanation:
The fraction, [tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex] and less than [tex] \frac{3}{4} [/tex].
How do we know this? See below how the fractions are compared together.
First, compare [tex] \frac{2}{3} [/tex] and [tex] \frac{1}{2} [/tex].
Find a common denominator for both fractions:
Common denominator of 2 and 3 would be 6. Therefore, multiply as follows:
[tex] \frac{2 \times 2}{3 \times 2} = \frac{4}{6}[/tex] and
[tex] \frac{1 \times 3}{2 \times 3} = \frac{3}{6} [/tex].
Compare the numerators. Which one is greater?
Form the calculation above:
[tex] \frac{2}{3} = \frac{4}{6} [/tex] has a numerator of 4.
.
[tex] \frac{1}{2} = \frac{3}{6} [/tex] has a numerator of 3.
Since 4 is greater than 3, therefore, the fraction, [tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex].
✍️Compare [tex] \frac{2}{3} [/tex] and [tex] \frac{3}{4} [/tex].
Find a common denominator for both fractions
[tex] \frac{2 \times 4}{3 \times 4} = \frac{8}{12} [/tex] and
[tex] \frac{3 \times 3}{4 \times 3} = \frac{9}{12} [/tex]
Comparing their numerator, 8 is less than 9, therefore:
[tex] \frac{2}{3} [/tex] is less than [tex] \frac{3}{4} [/tex].
✔️We can conclude that:
[tex] \frac{2}{3} [/tex] is greater than [tex] \frac{1}{2} [/tex], and less than [tex] \frac{3}{4} [/tex].
Related Questions
1. Nancy is walking around a circular track with a radius of 45 feet. If she walks the equivalent of 210 degrees, find the total distance she has walked around the track to the nearest foot.
2. A windshield wiper blade is 18 inches long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Round your answer ti the nearest square inch.
3. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75 feet, what is the area that is watered as the sprinkler rotates through an angle of 80 degrees? Round your answer to the nearest square foot.
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
The distance walked ( arc length ) is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{210}{360}[/tex]
= 2π × 45 × [tex]\frac{21}{36}[/tex]
= 90π × [tex]\frac{7}{12}[/tex]
≈ 165 ft ( to the nearest foot )
(2)
The area (A) covered is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{122}{360}[/tex]
= π × 18² × [tex]\frac{61}{180}[/tex]
= 324π × [tex]\frac{61}{180}[/tex]
≈ 345 in² ( to the nearest square inch )
(3)
The area (A) is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{80}{360}[/tex] ( r is the distance shot by sprinkler )
= π × 75² × [tex]\frac{8}{36}[/tex]
= 5625π × [tex]\frac{2}{9}[/tex]
≈ 3927 ft² ( to the nearest square foot )
Answer:
9514 1404 393
Answer:
top down: 1, 5, 6, 4, 8, 2, 3, 7
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for the arc length of a circle with central angle, θ, in degrees.
\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi rArc Length=
360
∘
θ
⋅2πr
Replace 360° with 2π radians.
\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}
360
∘
θ
=
2π
θ
Replace the angle ratio in degrees with the angle ratio in radians.
\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi rArc Length=
2π
θ
⋅2πr
Simplify by cancelling
\textit{Arc Length}=\theta rArc Length=θr
Which expression has a value of -22?
Answers
Answer:
−5 ⋅ 2 − 12
Step-by-step explanation:
Which diagram represents the type of solution to this system of equations?
7x − 12y + z = -1
8x − 10y = 5
21x − 36y + 3z = -3
A.
B.
C.
D.
Answers
Answer: The answer should be A.
Step-by-step explanation: When solving the first and third equations, it becomes 0=0. I'm assuming that is one solution. Then 8x-10y=5 should be the other solution. In other words, there is 2 solutions.
The correct diagram represents the type of solution to this system of equations is shown in Option A.
We have to given that,
System of equations are,
7x - 12y + z = -1 .. (i)
8x - 10y = 5 .. (ii)
21x - 36y + 3z = -3 .. (iii)
Now, From equation (i);
Multiply by 3;
3( 7x - 12y + z) = -1 × 3
21x - 36y + 3z = - 3
Which is same as equation (iii).
Hence, Equation (i) and (ii) are parallel to each other.
And, It's a triple relationship.
Thus, Only option A has parallel planes.
So, Option A is true.
Learn more about systems of equations at:
brainly.com/question/14323743
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y-2=1/4(x-3)
how can i graph this?
Answers
Answer:
your anwer is x=4y-5
Step-by-step explanation:
Helpppppppppp NEED THIS ASAP!!!!!!!!!
Answers
Answer:
$230
Step-by-step explanation:
hope this helped, im sorry if im wrong too
A contestant in a weight-loss competition wants to lose an average of at least 8 pounds per month during a five-month period. Based on the progress report, how many pounds must the contestant lose in the fifth month to meet the goal?
Answers
Answer:
Can you import the progress report picture please
Step-by-step explanation:
So we can solve it
Start with n and subtract 6
Answers
Answer:
n-6
Step-by-step explanation:
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)
5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck
Answers
Answer:
five trucks per hour
Step-by-step explanation:
List 3 values that would
make this inequality true.
er.
C С
4 + g 29
Answers
Answer:
Three values that would make this true would be 5, 9, and 20.
You could choose any number that is greater than or equal to 5
Solve for x: −3x + 3 −1
x −3
Answers
WHENS MY BDAY I SAID THIS
Answers
Answer:
reeee whenever it was happy bday ily by :)
help me with the question I appreciate it much.
Answers
it can't be seen properly
Find the commission.
Earning Commission
Sales Commision Rate Commission
$750
9%
?
The commission is $
Answers
Answer:
The commission would be $67.50.
Answer:
$67.50
Step-by-step explanation:
commission amount = sale price * commission percentage / 100
1. Write 12 cookies to 30
brownies as a ratio in
simplest form.
5:2
12:18
2:5
Answers
Answer:
The correct answer would be 2:5
Step-by-step explanation:
Answer:
2:5
Step-by-step explanation:
12÷6=2 30÷6= 5 is the simplest form
What is the area in square feet 6.ft, 8ft
Answers
Answer:
48 Squared Feet
Step-by-step explanation:
6 * 8 = 48
Answer:
48ft2
Step-by-step explanation:
6ft x 8ft = 48ft2
Answer - 48ft2
Student #2:
4x + 1 ≤ -4
x + 1 ≤ -1
x ≤ -2
Solved the inequality incorrectly but graphed their solution correctly.
Solved the inequality incorrectly and graphed their solution incorrectly.
Solved the inequality correctly and graphed their solution correctly.
Solved the inequality correctly but graphed their solution incorrectly.
Answers
Answer:
B
Step-by-step explanation:
Answer:
The student solved the inequality correctly, but the graph incorrectly represents the solution calculated.
Step-by-step explanation:
Which of the following describes [tex]9x + 3y - 15[/tex]
A: Ratio
B: Equation
C: Inequality
D: Expression
Answers
Answer:
equation
Step-by-step explanation:
obviously!
LAST QUESTION PLEASE HELP FAST ILL GIVE MY LAST POINTS FOR CORRECT ANSWER
Answers
Answer:
70° and 20°
Step-by-step explanation:
trust me and mark me brainliest
Today, there were 3 students absent from the math class. Each students that attended school solved 17 equations in math class. At the end of the class the teacher told the students that together they solved 408 equations today. How many students are this class if no one is absent?
Answers
Answer:
27 studentsStep-by-step explanation:
Number of students present in the math class:
408/17 = 24Number of students in this class:
24 + 3 = 27The sum of a number, x, and 1/2 is equal to 4. Which set of equations correctly represents x?
Answers
Answer:4=1/2x
X=8
Step-by-step explanation:
Find the slope of the line that passes through the points A(5,-1) and B
(3, -1).
Answers
Answer:
1/6
Step-by-step explanation:
Richard bought rolls for a BBQ. He bought dozen wheat rolls and dozen snowflake rolls. If dozen rolls were eaten at the BBQ, how many dozen rolls does Richard have left?
Answers
Answer:
12 rolls
Step-by-step explanation:
2 dozen is 24 so if he used a dozen which is 12 then he would have 12 left
Which expression is equivalent to X
(13),
Ο Ο Ο Ο
4
x9
13
x 6
Answers
Answer:
x
Step-by-step explanation:
[tex]\huge \bigg( {x}^{ \frac{2}{3} } \bigg) ^{ \frac{3}{2} } \\\\
\huge= {x}^{ \frac{2}{3} \times \frac{3}{2} } \\\\
\huge= {x}^{ \frac{6}{6} } \\\\\huge= x \\ [/tex]
What is the measure of
Answers
Answer:
m∠B = 105°
Step-by-step explanation:
Given
A = x+5B = 3xC = xWe know that the sum of angles in a triangle = 180°
A + B + C = 180°
x + 5 + 3x + x = 180°
5x + 5 = 180°
5x = 180° - 5
5x = 175
x = 175 / 5
x = 35
Thus, the measure of ∠B will be:
m∠B = 3x
= 3(35)
= 105°
m∠B = 105°
Find the ratio of 2p per gram to £2.12 per kilogram
Answers
Answer:
the answer is 1.06
Step-by-step explanation:
Jeremy is making a healthy ice cream using only ripe bananas and peanut butter, the recipe makes 4 servings and calls for a ratio of 5
bananas to 3 tablespoons of peanut butter if Jeremy has 30 bananas, how many tablespoons of peanut butter does he need
Tablespoons
Answers
Answer:
can u show me a pic of the question so it is easier
The healthy ice cream Jeremy is making has 30 bananas and requires 18 tablespoons of peanut butter.
What is a ratio?The ratio describes the amount of quantity in simplest form, a:b can be written as 'a/b' for convenience.
Given the healthy ice cream, Jeremy is making requires 5 bananas and 3 tablespoons of peanut butter.
From the given question itself, we can conclude that bananas and peanut butter are in direct proportion as the increase in one quantity will result in an increase of another quantity and we can write this in proportion and let the no. of tablespoons of peanut butter requires for 30 banans is x.
∴ 5 : 3 : : 30 : x.
Or
5/3 = 30/x.
5x = 90.
x = 18.
So, Jeremy needs 18 tablespoons of peanut butter for the 30 bananas he has.
learn more about ratio here :
https://brainly.com/question/13419413
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Use the distributive property to write an expression that is equivalent to 12 + 4x .
Answers
Answer:
4 ( 3 + x )
Step-by-step explanation:
Pull out a four from both parts
4( 3 + x)
What is the slope of line M.
What is a?
What is B?
Answers
Answer: A 2,2
Step-by-step explanation: 1 - 1 something
PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table.
Answers
Answer:
(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)
Step-by-step explanation:
$6 notebook; 50% off; 7% tax
Answers
Answer: The notebook is worth 2.79
Step-by-step explanation: Let's start off with taking 50% off of 6, which is 3$. Now we need to do 7% of 3:
7 x 3 = 21
21 / 100 = 0.21
3 - 0.21 = 2.79
Hope this helps :)