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 '
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
Explain how multiplying with 6 is like multiplying with 3
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:
find the value of x 7x° (x+20)°
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 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].
Water weighs 8.34 pounds per gallon. How many ounces per gallon is the weight of the water
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?
what is the rate of 2.50/10.50
and 1.99/2.50
Answer: The rate of both are 0.23 and 0.796 respectively.
Step-by-step explanation:
Since we have given that
Rate of 2.50/10.50
We need to find the rate which is given by
[tex]\dfrac{2.50}{10.50}\\\\=0.23[/tex]
Similarly,
Rate of 1.99/2.50
We need to find the rate which is given by
[tex]\dfrac{1.99}{2.50}=0.796[/tex]
Hence, the rate of both are 0.23 and 0.796 respectively.
How to solve this problem
Which one is it I need help
8467 divided by 24.
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
Which of the following is a perfect square?
x2 + 2x + 4
x2 + 9
x2 + 6x + 9
x2 + 3x + 9
The next number in the series 2, 5, 11, 20, 32, 47, is:
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.
Line segment YZ was used to translate ABCDE. YZ is 6.2 inches long. What is the length of AA'+BB'+CC'+DD'+EE'?
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]
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.
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8 kg of potatoes and 5 kg of carrots cost $28 whereas 2 kg of potatoes and 3 kg of carrots cost $11.20.what is the cost of 1 kg of each item?
Final answer:
To find the costs, we set up two equations based on the given data. Using elimination, we first determine the cost of 1 kg of carrots and then the cost of 1 kg of potatoes. The final costs are $2 per kg for potatoes and $2.40 per kg for carrots.
Explanation:
The student's question involves solving a system of linear equations to determine the cost of potatoes and carrots per kilogram. We can set up two equations from the given information:
8 kg of potatoes (8P) + 5 kg of carrots (5C) = $28
2 kg of potatoes (2P) + 3 kg of carrots (3C) = $11.20
These equations can be solved using either substitution or elimination methods to find the price per kilogram (P and C) for potatoes and carrots, respectively.
Let's use the elimination method:
Multiply the second equation by 4 to align the potato coefficient with the first equation:
8 kg of potatoes (8P) + 5 kg of carrots (5C) = $28
8 kg of potatoes (8P) + 12 kg of carrots (12C) = $44.80
Now subtract the first equation from the modified second equation:
(8P + 12C) - (8P + 5C) = $44.80 - $28
7C = $16.80
Divide by 7 to find the price per kilogram of carrots:
C = $2.40
Substitute the value of C into the first equation and solve for P:
8P + 5($2.40) = $28
8P + $12 = $28
8P = $16
P = $2
The cost of 1 kg of potatoes is $2 and the cost of 1 kg of carrots is $2.40.
If every dimension of a two dimensional figure is multiplied by k, by what quantity is the area multiplied?
How to solve 3x+5=-13
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
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?
Read the questions in the table below then track a description of the situation at a table to represent each equation indicate whether each of the relationship is proportional or nonproportional
Answer:
its 3 and the dollar one is non-portianal and the table to the left the second row is porpianal and the table to the right
Step-by-step explanation:
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.
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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).Is 70mg greater than 12 kg
3/2 = 9/ 10 k Ughhh. Help???
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)