To estimate 7 1/4 - 2 5/12, convert the mixed numbers to improper fractions, find a common denominator, subtract, and simplify. The result is approximately 4.83, which is close to 5.
Estimating 7 1/4 - 2 5/12
To estimate the difference between 7 1/4 and 2 5/12, it's helpful to convert these mixed numbers to improper fractions first. Let's break it down step by step:
Convert the mixed numbers to improper fractions:7 1/4 = (7*4 + 1)/4 = 29/42 5/12 = (2*12 + 5)/12 = 29/12Find a common denominator for the fractions, which is 12:Convert 29/4 to a fraction with a denominator of 12: (29/4) * (3/3) = 87/12Subtract the fractions:87/12 - 29/12 = (87 - 29) / 12 = 58/12Simplify the result:58/12 simplifies to 29/6 or approximately 4.83Therefore, the estimate of 7 1/4 - 2 5/12 is approximately 5.
which are geometric shapes ?
select all that apply
-rhomas
-trapezoid
-scalene triangle
-isosceles triangle
-equilateral triangle
Mario earns money mowing his neighbors' lawns. The revenue for mowing x lawns is r(x) = 25x. Mario's cost for gas and the mower rental is c(x) = 6x + 15. his profit from mowing is x lawns is p(x) = (r-c)(x). What is p(x)
Answer:
The value of p(x) is 19x - 15.
Step-by-step explanation:
Given,
The revenue mowing x lawns is, r(x) = 25x.
Also, Mario's cost for gas and the mower rental is c(x) = 6x + 15.
Hence, his profit from mowing is x lawns is,
p(x) = (r-c)(x) = r(x) - c(x) ( Subtracting functions property )
By substituting values,
p(x) = 25x - ( 6x+ 15 )
= 25x - 6x - 15 ( Associative property )
= 19x - 15
One fourth of a box of cereal was shared equally among 3 people. How much cereal did each person get? Explain how you got your answer.
10.5 would round up to?
to get to school Jenny decide to ride the school double decker bus it's a 30-minute ride the bus has a total of 20 rows of seats in each row has a capacity of four kids how many kids in total can ride the school bus
A pail holds 3 1/2 gallons of water. How much is this in cups?(In fraction)
Facts in picture. Please help ASAP!!!
Travis works at a kite factory. He checks all the kites before they are packaged. Travis discovered that for every 28 kites that passed inspection, there were 7 kites that did not pass: 4 kites did not have tails and 3 kites had the wrong colors.
Of the 476 kites Travis examined, how many did not have tails and how many had the wrong colors?
I WILL GIVE BRAINLIEST
In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (Answer) four minutes and twelve seconds
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?
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Answer:
The team’s best time for the race is 3.89. The team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
Step-by-step explanation:
It is given that the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds.
The team’s best time for the race is
[tex]56.81+59.22+57.39+60.11=233.53[/tex]
1 min = 60 sec
Using this conversion we get
[tex]\frac{233.53}{60}=3.892167\approx 3.89[/tex]
Therefore the team’s best time for the race is 3.89.
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points.
Since the team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
To predict the team's best time for the race, add up the best times for each leg and convert the total to minutes and seconds. The eighth graders should be awarded 40 points.
Explanation:To predict the team's best time for the race, we need to add up the best times for each leg. The team's top speeds for the legs are 56.81s, 59.22s, 57.39s, and 60.11s. Adding these times together gives us a total of 233.53 seconds.
To convert this time to minutes and seconds, we divide the total by 60. The quotient is the number of minutes and the remainder is the number of seconds. Dividing 233.53 by 60 gives us approximately 3.89. So, the team's best time for the race is 3 minutes and 53 seconds.
Since the team's best time for the race is less than 4 minutes, the eighth graders should be awarded 40 points.
Learn more about Baton relay race here:https://brainly.com/question/28319601
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This semicircle has a diameter of 5 meters. What is the area of this figure? Use 3.14 to for pi. Enter your answer as a decimal in the box. Round your answer to the nearest hundredth. m²
Answer:
9.81
Step-by-step explanation:
:3
14) Mrs. Kalfayan baked 4 trays of 25 cookies. After they cooled she divided the cookies evenly into 6 bags. How many cookies did Mrs. Kalfayan place in each bag? How many are left over? *
15 cookies in each bag and 4 left over
17 cookies in each bag and none left over
16 cookies in each bag and 4 left over
15) Explain how you solved question #14. (Use complete sentences) *
32 girls and boys have planned for a walk. there is a ratio of 5 girls to 2 boys. how many boys are there
Simplify 4x(2x3-7x2+x)
Find the PERIMETER of this triangle
What is the medium of 14.1,20.7,24.3,16.0,20.8
X^2 -9X = 0. Factor and use the Zero property to solve
What is 2 divided by 134.5
Answer:
0.01486988847
Step-by-step explanation:
I really need help with these questions!!!
Solve for x and y using elimination.
5x+2y=17
x-2y=8
Witch of the following could be a horizontal cross-section of a cylinder
A. hexagon
B. triangle
C. circle
D. octagon
2x sqaured-5+1 minus 4x-3
A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/2 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 2 units and up 4 units. How does the newly formed triangle compare to the original triangle?
The image of the triangle undergoes a transformation: (x, y) ⇒ [-(1/2)y - 2, (1/2)x + 4]
What is Dilation?Dilation is a process for creating similar figures by changing the size.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object.
Transformation is the movement of a point from its initial location to a new location. Types of transformation include translation, reflection, rotation and dilation.
If a point A(x, y) is dilated by a factor p, the new point is at A'(px, py).
If a point A(x, y) is reflected over the x-axis, the new point is at A'(x, -y).
If a point A(x, y) is translated a units left and b units up, the new point is at A'(x - a, y + b).
The image of the triangle undergoes a transformation: (x, y) ⇒ [-(1/2)y - 2, (1/2)x + 4]
Learn more about Dilation here :
brainly.com/question/13176891
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Amber had 3/8 of a cake left after her party. She wrapped a piece that was 1/4 of the original cake for her best friend. What fractional part did she have left for herself
In which set do all of the values make the inequality 2x-1<10 true ? A)10-15-20. B)5-7-9 C)4-6-8. D)2-3-4
Answer:
Hence, the set of values that holds true is:
2-3-4
Hence, option: D is true.
Step-by-step explanation:
We are asked to find which set of the values make the following inequality:
2x-1<10 true.
i..e we will put the given set of value s in place of xx and check whether the value of 2x-1 is less than 10 or not.
If it is then the set of values hold true.
A)
10-15-20
put x=10
2x-1=2×10-1
=20-1
=19 which is not less than 10.
Hence, option: A is incorrect.
B)
5-7-9
when x=9
2x-1=2×9-1
=18-1
=17 which is not less than 10.
Hence, option: B is incorrect.
C)
4-6-8
when x=8
2x-1=2×8-1
=16-1
=15 which is again not less than 10
Hence, option: C is incorrect.
D)
2-3-4
when x=2
2x-1=2×2-1
=4-1
=3<10
when x=3
2x-1=2×3-1
=6-1
=5 < 10
when x=4
2x-1=2×4-1
=8-1
=7<10
Hence, option: D is true.
Hence, the set of values that holds true is:
2-3-4
find the discriminant, describe the types of roots, and find the solution for 3x^2-24x+12
The sales commission is 10% at an electronics store. How much does Saul have to sell in 22 hours to earn $12.50 per hour from commission? Explain.
Final answer:
Saul needs to sell $2,750 worth of electronics in 22 hours to earn $12.50 per hour from a 10% sales commission.
Explanation:
To calculate how much Saul has to sell in 22 hours to earn $12.50 per hour from commission at a rate of 10%, we first determine his total earnings from commission over the 22 hours. So we multiply $12.50 by 22 hours, which gives us $275. Now, because the commission is 10%, we can write a simple equation where the total sales (which we'll call S) multiplied by 10% (or 0.10) equals $275.
The equation looks like this: S × 0.10 = $275. To solve for S, we divide both sides of the equation by 0.10: S = $275 / 0.10, which results in S = $2,750. Therefore, Saul has to sell $2,750 worth of electronics in 22 hours to earn an hourly wage of $12.50 from commission.
0.25 rounded to the nearest tenth
3200 g = how many kg explain please
Which expression is equivalent to sqrt 120x?
a. 2 sqrt 30x
b. 2 sqrt 30
c. 4 sqrt 30x
d. 60 sqrt 2x
Answer:
a. [tex]2\sqrt{30x}[/tex]
Step-by-step explanation:
We have been given a radical expression and we are asked to choose the correct option that is equivalent to our given expression.
[tex]\sqrt{120x}[/tex]
Let us pull out perfect square from our radical expression.
We can rewrite our given expression as:
[tex]\sqrt{4*30x}[/tex]
Since square root of 4 is 2, so we can pull out 2 from our radical expression.
[tex]2\sqrt{30x}[/tex]
Therefore, the expression [tex]2\sqrt{30x}[/tex] is equivalent to our given expression and option a is the correct choice.
Answer:
A
Step-by-step explanation: on Edge
The measures in the table describe the ages of students in a club.
Mean Median Mode Mean Absolute Deviation
13.3 13.5 14 0.67
Select from the drop-down menus to correctly complete each statement.
On average, the age of a student is about ____year(s) away from ____year(s).
If the MAD for another club was 1.5 years, then that club's ages would be than the ages for this club.
Answer:
more
Step-by-step explanation:
i know because i took the test 4 seconds ago
If your pencils is 20 centimeters long how many millimeters is it
A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells for 40 cents per pound. How many pounds of each kind must he use to make 100 pounds he can sell for 85 cents per pound?