If every dimension of a two dimensional figure is multiplied by k, by what quantity is the area multiplied?
The sum of -5, -9, and 10 is _____.
sum is addition
-5 +-9 = -14
-14 + 10 = -4
A mail truck traveled 82 miles in 4 1/2 hours. The distance is the product of the rate and the time. To the nearest tenth, what was the average speed of the mail truck? Enter your answer in the box
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+1=87(x+4) y+4=98(x+1) y−1=89(x−4) y+1=89(x+4)
Eric has a dog walking business he charges $13 per dog he walks and $6 for the water he buys for the dogs if he made $97 on Monday write an equation to find the numbers of dogs he walked on Monday
Tim Worker decided to purchase a new DVD player on an installment loan. The DVD player was $365.00. Tim agreed to pay $36.00 per month for 12 months. What is the finance charge in dollars?
Line segment YZ was used to translate ABCDE. YZ is 6.2 inches long. What is the length of AA'+BB'+CC'+DD'+EE'?
A gallon of gasoline was $1.16 in 1990, which was a decrease from the price in 1980 of $1.25 per gallon.
What is the percent of decrease in the cost of a gallon of gasoline? Round to the nearest tenth of a percent
please provide the math '
Which of the following is a perfect square?
x2 + 2x + 4
x2 + 9
x2 + 6x + 9
x2 + 3x + 9
Show that each number is a rational number by expressing it as a ratio of two integers
A. 27
B. .075
C. 4 2/3
D. -9
E. 0.43
F. -18
Each number provided is a rational number, as they can all be expressed as a ratio of two integers. Therefore, they all qualify as rational numbers.
Explanation:In Mathematics, a rational number is a number that can be expressed as a ratio of two integers. An integer is a whole number that can be positive, negative, or zero. Let's express each number given as a ratio of two integers:
A. 27 can be expressed as 27/1. B. 0.075 can be expressed as 75/1000. C. 4 2/3 can be expressed as 14/3 (since 4 2/3 equals to 4 + 2/3 = 12/3 + 2/3 = 14/3). D. -9 can be expressed as -9/1. E. 0.43 can be expressed as 43/100. F. -18 can be expressed as -18/1.
As you can see, each of these numbers can be written as a ratio of two integers, thus they are all rational numbers.
Learn more about Rational Numbers here:https://brainly.com/question/36880638
#SPJ11
Each given number (27, 0.075, 4 2/3, -9, 0.43, and -18) is shown to be a rational number by expressing it as a ratio of two integers, such as 27/1, 3/40, 14/3, -9/1, 43/100, and -18/1, respectively.
To show that a number is a rational number, we must express it as a ratio of two integers.
27 can be expressed as 27/1 which is the ratio of two integers (27 and 1).0.075 can be written as 75/1000 which simplifies to 3/40 after dividing both the numerator and the denominator by 25.4 2/3 is 4 + 2/3 and can be written as 14/3 which is a combination of an integer and a fraction representing the ratio of two integers (14 and 3).-9 can be written as -9/1 which shows the number -9 as a ratio of two integers (-9 and 1).0.43 is equivalent to 43/100 and therefore can be expressed as the ratio of two integers (43 and 100).-18 can be written as -18/1 which is a ratio of two integers (-18 and 1).8467 divided by 24.
The next number in the series 2, 5, 11, 20, 32, 47, is:
what is 4.1363636… as a fraction?
Answer:
x = [tex]\frac{819}{598}[/tex].
Step-by-step explanation:
Given : 4.1363636…
To find : Convert it as fraction .
Solution : We have given 4.1363636…
Let x = 4.1363636…
On multiplying both sides by 100
100 x = 100 * 4.1363636…
100 x = 413 .63636...
We can convert it in term of x
100 x = 409 .5 + 4.1363636...
100 x = 409.5 + x
On subtracting both sides by x
100 x -x = 409.5
99 x = 409. 5
On dividing both sides by 99
x = [tex]\frac{409.5}{99}[/tex].
x = [tex]\frac{4095}{990}[/tex].
On dividing both sides by 5
x = [tex]\frac{819}{598}[/tex].
Therefore, x = [tex]\frac{819}{598}[/tex].
What is 10 to the power of 100?
3/2 = 9/ 10 k Ughhh. Help???
The students at Monroe jr high sponsored a canned food drive the seventh grade class collected 129 percent of its canned food goal about how many canned foods did the seventh graders collect if their goal was 200 cans
Which one is it I need help
What is one times one times four times twelve divided by three divided by two times nine minus twelve divided by twelve times one hundred twenty-three million, four hundred fifty-six thousand, seven hundred eighty-nine?
Answer:
617,283,945.
Step-by-step explanation:
im gae
jokez
Is 70mg greater than 12 kg
One leg of a right triangle has a length of 24 yards.The hypotenuse has a length of 74 yards.The other leg has a length of 10x yards.What is the value of x?
a number where 3 is worth 1/10 as much and 2 is worth 10 times as much as the number 431, 621
The question pertains to exponential notation in our decimal numbering system, where each place is worth ten times the next right place. It creates a more convenient way to express very large or small numbers. The rules of multiplication in this system involve multiplying the numbers out front and adding the exponents.
Explanation:
The question refers to place value in a number, where we are told how much each digit is worth based on their position. Here, '3' is worth 1/10 as much and '2' is worth 10 times as much as the number 431, 621. The power (exponent) of 10 is equal to the number of places the decimal is shifted to give the digit number.
This is part of exponential notation, which is especially useful for very large and very small numbers. For instance, 1,230,000,000 can be written as 1.23 × 10⁹, and 0.00000000036 can be articulated as 3.6 × 10-¹0. It's called powers-of-ten notation because each place in our numbering system is ten times greater than the place on its right.
To compute this, we use a method where we multiply the numbers out front and add the exponents. For instance, (3 × 10⁵) × (2 × 10º) equals 6 × 10⁵. This notation not only simplifies arithmetic but is also compact and convenient.
Learn more about Exponential Notation here:https://brainly.com/question/13400482
#SPJ2
Sam is 3 years younger than Marco. Marco is 15 years old. How old is Sam? Let X represent Sam's age (there are 2 correct answers)
x + 15 = 3
x + 3 = 15
15 divided by x = 3
3 x = 15 15 - x = 3
thanks
Correct options are:
X+3=15
and 15-X=3
Step-by-step explanation:Sam is 3 years younger than Marco.
Let X represent Sam's age
Then, Marco's age=X+3
Marco is 15 years old.
i.e. X+3=15
or 15-X=3
Hence, Correct options are:
X+3=15
and 15-X=3
Water weighs 8.34 pounds per gallon. How many ounces per gallon is the weight of the water
suppose 90 out of 120 people said they like to work out and 5 out of every 18 of the people who like to work out have a gym membership. At the same rate in a group of 216 people predict how many you would expect to have a gym membership.
In preparation for the Maths festival you are asked to work out how much water the drinks area will need for the event. The arena buys drinks in 200 litre containers. Each person is expected to drink 0.5 litre of water. The arena expects approximately 7,000 people to attend. Estimate how many containers of water the arena will need to buy for the event?
Answer:
Its 18 containers
Step-by-step explanation:
How to solve 3x+5=-13
theater tickets for children cost $5 adult tickets cost $3 more if 2 adults and 2 children buy theater tickets what is the total cost
An acute triangle has sides measuring 10cm and 16 cm. The length of the third side is unknown. Which best describes the range of possible values for the third side of the triangle?
Answer:
The range of possible values for the length of the third side of the triangle is [tex]\( 6 < x < 26 \)[/tex], meaning that the third side must be greater than 6 cm and less than 26 cm.
Explanation:
To determine the range of possible values for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's denote the length of the third side as [tex]\( x \)[/tex]. According to the triangle inequality theorem:
1. The sum of the lengths of the two given sides (10 cm and 16 cm) must be greater than the length of the third side:
[tex]\[ 10 + 16 > x \][/tex]
[tex]\[ 26 > x \][/tex]
2. The length of the third side must be greater than the difference of the lengths of the two given sides:
[tex]\[ 16 - 10 < x \][/tex]
[tex]\[ 6 < x \][/tex]
Combining both inequalities, we have:
[tex]\[ 6 < x < 26 \][/tex]
How to solve this problem
A restaurant buys eggs in cases of 15 dozen eggs per case. The owner of the restaurant specializes in omelettes. He ordered three cases of eggs per day just for omelettes if H only contains four eggs, how many hours can be made from three cases of eggs?
135 omelettes can be made from three cases of eggs.
To find out how many omelettes can be made from three cases of eggs, we first need to calculate the total number of eggs in three cases.
Each case contains 15 dozen eggs, and since a dozen is 12 eggs, one case contains [tex]\(15 \times 12 = 180\)[/tex] eggs.
So, three cases would contain [tex]\(3 \times 180 = 540\)[/tex] eggs.
Now, if each omelette requires four eggs, we can find out how many omelettes can be made:
[tex]\[ \text{Number of omelettes} = \frac{\text{Total number of eggs}}{\text{Number of eggs per omelette}} \][/tex]
[tex]\[ \text{Number of omelettes} = \frac{540}{4} \][/tex]
[tex]\[ \text{Number of omelettes} = 135 \][/tex]