To solve problems with integers and rational numbers, one should apply operations' properties such as commutativity, associativity, and distributivity, which streamline calculations and assist in combining numbers in an order that simplifies the process.
Integers and rational numbers are essential elements of algebra that allow for diverse mathematical operations. Integers are the set of whole numbers including zero, and their negative counterparts (e.g., -1, 0, 1), while rational numbers are ratios of integers (e.g., 2/1, 3/4) that can represent fractions and decimals that terminate or repeat. When solving problems, it is crucial to remember the properties of operations, which include commutativity associativity , distributivity, the additive inverse and the multiplicative inverse.
For example, when adding fractions with different denominators, you find a common denominator and use commutativity and associativity to combine these fractions. A problem involving multiplication of a negative integer and a fraction may require both the distributive property and understanding of the multiplicative inverse. Mastering these properties provides a foundation for solving algebraic expressions and equations, ensuring accuracy whether the numbers are complex, real, rational, or integers.
Estimate the quotient when 29,376 is divided by 29
In George’s neighborhood there are 33 cats and 33 dogs roaming free.What percent of the animals roaming free are dogs?
A.35%
B.40%
C.45%
D.50%
Subtract −7n+2 from 2n−1 .
Answer:
Subtracting −7n+2 from 2n−1 is 9n - 3.
Step-by-step explanation:
As the expression given in the question be as follow.
−7n+2 and 2n - 1 .
Subtracted −7n+2 from 2n - 1 .
= 2n - 1 - (-7n + 2)
Open the bracket
= 2n - 1 + 7n - 2
Simplify the above
= 9n - 3
Therefore Subtracting −7n+2 from 2n−1 is 9n - 3.
Estimate the value of 9.9 squared x 1.79
Final answer:
To estimate the value of 9.9 squared times 1.79, round 9.9 to 10, square it to get 100, and multiply by 1.79 to get an estimate of 179.
Explanation:
The question asks to estimate the value of 9.9 squared times 1.79. To estimate this value, we can round 9.9 to the nearest whole number, which is 10. Then we square 10 to get 100, and multiply this by 1.79.
So, the estimated value would be:
102 × 1.79 = 100 × 1.79 = 179
This estimation approach uses basic arithmetic principles and rounding techniques to simplify the calculation.
How Do You Find The Measures Of These Angles ?? (Using The Picture On The Right)
opposite angles equal each other so if angle 2 is 97, then angle 3 is also 97
6 & 5 need to equal 180 so if 6 = 83, then 5 = 180-83 = 97
Angle 10 = angle 2 = 97
angle 7 = angle 6 = 83
angle 9 = angle 6 = 83
angle 16 = angle 5 = 97
A computer store bought a program at a cost of 20$ and sold it at a selling price of 24$ find the percent markup
Analyze the graph.
Which months had rainfall between 10 and 20 inches each?
March, April, and May
May, August, and October
June, July, and September
February, October, and November
Answer:
C. June, July, September.
Step-by-step explanation:
We have a graph representing the average monthly rainfall.
The graph has plotted the months on the x-axis and the rainfall in inches on y-axis.
We can see that the only months having rainfall between 10 to 20 inches are June, July, September and November.
According to the given options, we get,
The months having rainfall between 10 to 20 inches are June, July and September.
20 points
please help
in return brainliest and special thanks
r/5 - 6 = -1
A) r = 1
B) r = 5
C) r = 10
D) r = 25
Cody was going to sell all of his stamp collection to buy a video game. after selling half of them he changed his mind. he then bought seventeen more. how many did he start with if he now has 44?
Cody started with 54 stamps in his collection. The problem was solved using basic algebra by setting up an equation and working backwards.
Explanation:The subject of this question is mathematics, specifically dealing with a basic algebra problem that requires working backwards to find the original number of items in a collection. To solve the problem, we can set up an equation to represent the scenario given:
Let's call the original number of stamps 'x'. After selling half of them, Cody would have ½x. When he buys seventeen more stamps, the equation to represent this situation is ½x + 17 = 44. To find the value of 'x', we need to subtract 17 from both sides of the equation, which gives us ½x = 44 - 17 or ½x = 27. To find the full value of x, we multiply both sides of the equation by 2, which gives us x = 27 * 2 or x = 54.
Therefore, Cody started with 54 stamps in his collection.
Miss Sandy is fencing in her rectangular backyard, which is 3x23x2 feet wide and 4xy+5x3y24xy+5x3y2 feet long. a.) Find the perimeter of Miss Sandy's yard. Show all work. b.) How much fencing should Miss Sandy purchase? Use mathematics to justify your answer.
Use doubles to find the sum of 7+8
What’s the unit rate for 3 2/3 feet per 11/60 hour?
Answer:
20 feet per hour
Step-by-step explanation:
To find the unit rate of the given scenario
[tex]3\frac{2}{3} \text{ feet per }\frac{11}{60} \text{hour}[/tex]
Unit rate: The given rate per unit time.
So, divide the feet by time
Unit rate [tex]=\dfrac{11}{3}\div \dfrac{11}{60}[/tex]
[tex]=\dfrac{11}{3}\times \dfrac{60}{11}[/tex]
[tex]=20\text{ feet/hour}[/tex]
Unit rate is 20 feet per unit time.
Hence, The unit rate is 20 ft/h
This scatter plot shows the association between the amount of fat and the total amount of calories in a few food items. What is the calorie content of foods that contain 14 grams of fat?
A. about 100 calories
B. about 300
C. about 340
D. about 410
E. about 530
Answer:
Answer is C
Step-by-step explanation:
The calorie content of foods that contain 14 grams of fat is about 410.
What is Scatter plot?A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Since they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).
A scatter plot is made up of a vertical axis that represents the measurements of the other variable and a horizontal axis that contains the measured values of the independent variable (dependent variable).
We have,
A scatter plot shows the association between the amount of fat and the total amount of calories in a few food items.
From the scatter plot, for 14 grams of fat the calories lies in between 300 and 400.
So, we can conclude from the scatter plot is 340.
Learn more about Scatter plot here:
https://brainly.com/question/29231735
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Marty plans to make an alien costume for a party.He needs 7/8 yard of fabric and 1 1/2 yards of aluminum foil for the costume.fabric costs $5 per yard. Will the fabric needed to make the costume cost more than $5 or less than $5
what is The density of an object is the quotient of its mass and its volume as a formula?
Explain how you can solve 8x8 if you know how to multiply with 4 but not how to multiply with 8
You have $12 to buy five goldfish for your new fish tank. Write and solve an inequality that represents that prices you can pay per fish.
The prices you can pay per fish can be represented by the inequality 5x ≤ 12. After solving the inequality, the maximum price you can pay per fish is $2.40.
Explanation:To write the inequality that represents the prices you can pay per fish, let's assume that the price of each goldfish is 'x' dollars. Since you have $12 in total, the inequality can be written as:
5x ≤ 12
To solve this inequality, divide both sides by 5:
x ≤ 2.4
Therefore, you can pay at most $2.40 per fish.
Simplify.
42+25
A.21
B.29
C.41
D.51
Im actually pretty sure its C because 4 to the power of 2 is 16 and then add those too up 16+25=41
Answer:
The answer is C. 41
Step-by-step explanation:
So i did the test. and got it right!
Heh...-
a truck that can carry no more than 6400 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 250 lb and each piano weighs 475 lb. Write and graph an inequality to show how many refrigerators and how many pianos that truck could carry . WIll 12 refridgerators and 8 pianos overload the truck? Explain.
Answer: 250 r+ 475p≤ 6400
12 refrigerators and 8 pianos will overload the truck.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Truck capacity: 6400 (no more than means that the weight of the products must be equal to 6400 lbs or less) Weight of one piano: 475 Weight of one refrigerator: 250So, the inequality that represents this case is :
250 r+ 475p≤ 6400
Where:
r = number of refrigerators
p = number of pianos
For 12 refrigerators and 8 pianos we simply replace the values:
250 (12) + 475 (8) ≤ 6400
3000+3800≤ 6400
6800≤ 6400
6800 lbs will overload truck. Because 6800lbs exceeds the capacity of the truck.(6400 lb)
MATH QUESTION HURRY DOWN BELOW
Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are planning to buy her a bouquet of flowers. What is the biggest bouquet they can buy in which the ratio of pink flowers to blue flowers matches the ratio of girls to boys if the florist has 9 blue carnations and 12 pink carnations left?
Answer:
it is d for the people on edge
Step-by-step explanation:
There are 32 students in the 6th grade at Garden Valley Middle School. Eight of them have freckles. What is the ratio of 6th graders with freckles to the total number of 6th graders?
A. 4:1
B. 1:3
C. 1:4
D. 3:1
A deposit of $94 positive or negative
help with geometry please
there are 36 students in the class chess club, 40 students in the drama club, and 24 students in the film club . what is the ratio of students in the drama club to students in the film club
what is (24^3)^-3 × (40÷4+14)^10 over (fraction bar) (96÷8)+(39÷3-1) ??????
What number needs to be added to both sides of the equation in order to complete the square?
x^2+16x=18
Kendra is twice as old as Tim. In 10 years, Kendra will be four years older than Tim. How old are Kendra and Tim now?
Answer: kendra is 8 now, tim is 4
the sum of three consecutive number odd integers is 18 less than five times the middle number find the three integers
1st number = x
2nd number = x+2
3rd number = x+4
x + x+2 +x+4 = 3x+6
3x+6 = 5(x+2)-18
3x+6 = 5x+10-18
3x+6 = 5x-8
3x+14 =5x
14 = 2x
x = 14/2 = 7
1st number = 7
2nd number = 7+2 = 9
3rd number = 7+4 = 11