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?
The transportation division is building a cone-shaped container to store salt and sand. The container will have a diameter of 50 feet and is 60 feet high. What is the maximum amount of sand and salt the container can hold? (Approximate pi with 3.14.)
There are 12 chairs at each table for the annual parents’ night dinner. Thirty-two tables are set up. How many people can be seated at these tables?
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
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).Water weighs 8.34 pounds per gallon. How many ounces per gallon is the weight of the water
Diane uses 2 feet of ribbon to decorate each gift she is wrapping. She wraps 7 gifts. How much ribbon does she need?
Final answer:
To calculate the total amount of ribbon Diane needs, we multiply the number of gifts (7) by the amount of ribbon per gift (2 feet). Diane will need a total of 14 feet of ribbon to decorate 7 gifts.
Explanation:
The question asks how much ribbon Diane needs to decorate 7 gifts if she uses 2 feet of ribbon per gift. To find the total amount of ribbon, we multiply the number of gifts by the amount of ribbon used for each gift. The equation for this calculation is:
Total ribbon needed = Number of gifts times Ribbon per gift
Let's plug in the values:
Total ribbon needed = 7 gifts times 2 feet/gift
Total ribbon needed = 14 feet
Therefore, Diane needs 14 feet of ribbon to decorate her 7 gifts.
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:
do more kids say they want to see into the future or become invisible? invisible is 9/50 future is 1/5 what is more?
Ivan likes ice-cream cones. At the ice-cream parlor,a single-scoop cone costs 75 cents .
Each additional scoop of ice cream costs 50 cents . Ivan earns 25 cents each time he takes out the trash. How many times does Ivan have to take out the trash to buy a
double-scoop cone?
Ivan needs to take out the trash at least 5 times to earn enough money to buy a double-scoop ice cream cone.
Explanation:To buy a double-scoop ice cream cone, Ivan needs to earn enough money to cover the cost of the double-scoop cone, which is 75 cents for the first scoop and an additional 50 cents for the second scoop. Since Ivan earns 25 cents each time he takes out the trash, we can calculate how many times he needs to take out the trash to earn enough money.
Let's assume Ivan needs to take out the trash 'x' number of times. Each time he takes out the trash, he earns 25 cents, so the total amount he earns will be 25 cents multiplied by 'x'.
Setting up an equation, 25x >= 75 + 50. Simplifying, we have 25x >= 125. Dividing both sides of the inequality by 25, we get x >= 5. Therefore, Ivan needs to take out the trash at least 5 times to earn enough money to buy a double-scoop ice cream cone.
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Help me please what would be the next step
How many 3/4 cup servings of macaroni are in 2/3 of a cup of macaroni?
Answer:
The answer is D
Step-by-step explanation:
An animal shelter spends $3.00 per day to care for each bird and $8.50 per day to care for each cat. Kayla noticed that the shelter spent $123.00 caring for birds and cats on Tuesday. Kayla found a record showing that there were a total of 30 birds and cats on Tuesday. How many birds were at the shelter on Tuesday?
find the value of x 7x° (x+20)°
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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Explain how graphs of the same function can look different?
Graphs of the same function can look different based on the time frames, horizontal and vertical scalling, data grouping, and the chosen type of graph. However, it's crucial to remember that despite visual differences, the underlying mathematical function remains unchanged.
Explanation:In the subject of mathematics, graphs depict the relationship between variables. The graphs of the same function can technically appear different based on numerous factors such as the range of data used, horizontal and vertical scaling, and the division of data groups. When the value of y is changing as a function of x, meaning different values of x correspond to different values of y, we can plot a graph using specific (x,y) data pairs.
This graph can appear different based on the frame of reference chosen; for example, certain timeframes might yield a linear graph, while another range could portray a curve. Similarly, the relative size of the vertical and horizontal axes can greatly impact the perception of the graph, and therefore, different scales of measurement can provide different visual perspectives of the same function.
Moreover, the type of graph used (e.g. line, bar, pie graph) also impacts visual understanding. Line graph shows the relationship between two variables, whereas a pie graph could make it easy to understand division of a whole into parts, and a bar graph can depict comparisons among different groups.
Be aware that despite these visual differences, the underlying mathematical function remains the same.Learn more about Graphs of Functions here:
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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.
Explain how multiplying with 6 is like multiplying with 3
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 '
8467 divided by 24.
I've got a math question for 30 points!! What is the point-slope form of the line with slope -1/8 that passes through the point (-2,1)?
Thanks for the help!!
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How many square inches does and 11x13 area encompasses
The area of an 11x13 rectangle is 143 square inches.
The area of an 11x13 rectangle can be calculated by multiplying the length and the width.
Area = Length x Width
Area = 11 inches x 13 inches
Area = 143 square inches
Therefore, an 11x13 area encompasses 143 square inches.
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.
What’s the area of 36 square meters perimeter of 30 meters what’s the width and length of those?
To find the width and length of a rectangle given an area of 36 square meters and a perimeter of 30 meters, a system of equations can be set up and solved, showing the rectangle could have dimensions 9m x 4m or 4m x 9m.
To find the width and length of a rectangle with a known area and perimeter, we can use the following formulas: Area = length x width and Perimeter = 2(length + width). We know the area is 36 square meters and the perimeter is 30 meters. Let's denote the length as L and the width as W. Therefore, our system of equations will be:
L x W = 36
2(L + W) = 30
Dividing the perimeter equation by 2 gives us L + W = 15. We can express the width in terms of the length using this equation: W = 15 - L. Now we can substitute this expression for W into the area equation: L x (15 - L) = 36. Expanding this gives us a quadratic equation: [tex]L^2[/tex] - 15L + 36 = 0. We can solve this equation for L to find possible values for the length.
To find the length L, we look for factors of 36 that add up to 15. It turns out that 9 and 4 are such factors, so our lengths are 9 meters and 4 meters. We then use the expressions for W to find that W is 4 meters if L is 9 meters, and W is 9 meters if L is 4 meters. Hence, the rectangle could have dimensions 9m x 4m or 4m x 9m.
If every dimension of a two dimensional figure is multiplied by k, by what quantity is the area multiplied?
Which one is it I need help
The outdoor temperature yesterday reached a low of -4.5 degrees Farenheit. Between what two intergers was the temperature?
The next number in the series 2, 5, 11, 20, 32, 47, is:
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)
Which of the following is a perfect square?
x2 + 2x + 4
x2 + 9
x2 + 6x + 9
x2 + 3x + 9