The domain of the function y = 1725 - 75x, representing money left in a lunch account, is between 0 and 20 weeks. The range is the amount of money, from $225 to $1725.
Explanation:The equation y = 1725 - 75x represents the amount of money left in a lunch account after x weeks. If we consider the function f(x) for 0 ≤ x ≤ 20. The domain of this function, which is the set of allowable values for x, is from 0 to 20, inclusive. This means that x can take on any real number value between 0 and 20. For the range, we calculate the minimum and maximum values of y using the equation, which are y when x = 0 and y when x = 20 respectively. For x = 0, y = 1725 and for x = 20, y = 1725 - 75(20) = 1725 - 1500 = 225. So the range of y is from 225 to 1725 dollars.
Which statements about opposites are true? 39 POINTS!
Select each correct answer. MORE THAN ONE ANSWER!
The opposite of a number is 1 divided by that number.
The opposite of the opposite of a number is the number itself.
The opposite of a number is always a negative number.
A non-zero number and its opposite are located on opposite sides of zero on a number line.
Answer:
Step-by-step explanation:
the last won
Write a unit rate for the situation
270 miles in 6 hours
A unit rate for the situation is 45 miles per hour.
Given that, 270 miles in 6 hours.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Now, unit rate = Number of miles/Number of hours
= 270/6
= 45 miles per hour
Therefore, a unit rate for the situation is 45 miles per hour.
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What is an equivalent ratio for 2 gallons and 3 quarts
Determine the equivalent ratio for 2 gallons and 3 quarts
The equivalent ratio for 2 gallons and 3 quarts is 8 : 3
convert gallon to quarts
1 gallon = 4 quarts
2 gallons = 4 quarts × 2
= 8 quarts
So,
2 gallons = 8 quarts
2 gallons : 3 quarts
= 8 quarts : 3 quarts
= 8 : 3
Therefore, the equivalent ratio for 2 gallons and 3 quarts is 8 : 3
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7.2 x 10 to the 6th power
Solve. 4(a + 2) = 14 – 2(3 – 2a)
Select one:
a. –2
b. –1
c. all real numbers
d. no solution
Answer:
C. All Real Numbers
Step-by-step explanation:
If you take any variable and do the math with that variable on both sides of the equation the answer is always balanced. So, the answer is C.
The surface of a trampoline is in the shape of a regular hexagon? Find the measure of each interior angle of the trampoline?
The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of the interior angle of a polygon with an 'n' number of sides is given by the formula,
The sum of the interior angle = (n-2)×180°
As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,
The sum of the interior angle of Hexagon = (6-2)×180° = 720°
Now, the measure of each interior angle = (720°/6) = 120°
Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
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Robin used 1/4 of a pound of butter to make a cake. Before she started, she had 7/8 of a pound of butter. How much butter did Robin have when she was done baking? Give your answer as a fraction of a pound.
When Robin has done baking, she had 15/32 pounds of butter.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Robin made a cake with 1/4 pound of butter. She had 7/8 of a pound of butter before she began.
We have to determine the amount of butter have when she was done baking.
As per the given situation, the required solution would be as:
We have to apply the subtraction operation to get it.
Robin used 1/4 pound of butter to make the cake, so she had 7/8 - 1/4 = 15/32 pound of butter left after she finished baking.
Therefore, when Robin has done baking, she had 15/32 pounds of butter.
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What is the constant of variation for the quadratic variation?
10y = 6x2
6
0.6
10
Answer:
option B is correct
The constant of variation for the given quadratic equation is, 0.6
Step-by-step explanation:
The quadratic variation is the relationship between the variables x and y such that : [tex]y=kx^2[/tex]; where k is the quadratic constant variation.
Given quadratic equation are as follow:
[tex]10y = 6x^2[/tex] ...[1]
Division property of equality states that you divide the same number to both sides of an equation
Divide equation [1] both side by 10,we get
[tex]\frac{10y}{10}= \frac{6x^2}{10}[/tex]
On simplifying we get;
[tex]y=\frac{6}{10}x^2[/tex] or
[tex]y= 0.6x^2[/tex]
Now, compare above equation with an equation [tex]y =kx^2[/tex] we get the value of k
i.e, k= 0.6
Therefore, the constant of variation is, 0.6.
What is 5/8 divided by 2 7/12?
5/8 divided by 27/12 gives fraction 15/62.
To divide 5/8 by 2 7/12, we can convert the mixed number 2 7/12 into an improper fraction.
First, multiply the whole number (2) by the denominator (12) and add the numerator (7) to obtain the new numerator.
= 2 x 12 + 7
= 24 + 7
= 31
The new numerator is 31.
The denominator remains the same, which is 12.
Now we have the division problem:
5/8 ÷ 31/12
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
5/8 ÷ 31/12 = 5/8 x 12/31
Now, multiply the numerators and denominators:
= (5 x 12) / (8 x 31)
= 60/248
The fraction 60/248 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:
= 60/248
= 15/62
Therefore, 5/8 divided by 27/12 gives fraction 15/62.
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412 divided by 5 using compatible numbers
The morrows have dinner at Shu's kitchen. The cost if the dinner is $25. What is the final bill if the sales tax is 4%
What is 35 divided by 768
y=2x+0.5 I have to solve this using a weird table and then I have to graph it. How?
To solve the equation y=2x+0.5, prepare a table of (x, y) values. You plug in sample x values into the equation to obtain corresponding y values. Plot the (x, y) pairs in a graph and draw a line through the points.
Explanation:To solve the equation y=2x+0.5 and graph it, you need to create a table of (x,y) values.
First, choose some values for x, such as -2, -1, 0, 1, 2. For example, for x = -2, you would plug this value into the equation to find y. Doing the operation y=2*(-2)+0.5, we find that y = -4 + 0.5, so when x = -2, y = -4.5.
Repeat this process for each x value you chose. Once you have a table of values, you can plot these data pairs in a graph, marking the x and y coordinates for each pair. These points should line up and you can draw a line through them. This will be the graph for y = 2x + 0.5.
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Brian a bought 64 fluid ounces of her favorite drink. How many 8 fluid-ounce glasses can she fill with the drink?
Which graph could be used to show the situation described?
The temperature decreases by 0.5 degrees every hour.
From left to right its A), B), C) and D).
The third graph shows the decreases by 0.5 degrees every hour.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that varies over time is represented with a line graph.
Given:
The first graph shows the decreases by 10 degrees every hour.
The second graph shows the decreases by 14 degrees every hour.
The third graph shows the decreases by 0.5 degrees every hour.
The fourth graph shows the decreases by 1 degrees every hour.
Hence, the third graph shows the decreases by 0.5 degrees every hour.
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Suppose you are finding 296/4 using partial quotients. Is 50 or 70 a more reasonable partial quotient? Explain.
Burj al Arab hotel, another one of the worlds tallest buildings, was finished in 1999. Located in dubai, it is 1053 feet high with 60 stories. If each floor is the same height, how much taller or shorter is each floor than the height of the floors in the Aon Center?
If each floor is the same height. Then the height of each floor will be 17.55 feet.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Burj al Middle Easterner lodging, another of the universe's tallest structures, was done in 1999. Situated in Dubai, it is 1053 feet high with 60 stories.
If each floor is the same height. Then the height of each floor is calculated as,
⇒ 1053 / 60
⇒ 17.55 feet
Assuming that each floor is a similar level. Then the level of each floor will be 17.55 feet.
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The height per floor for the Burj al Arab hotel in Dubai is calculated as 17.55 feet, by dividing the total height (1053 feet) by the number of floors (60), but we lack the Aon Center's floor heights to make the comparison as per the question's request.
The student's question is regarding the comparison of floor heights between the Burj al Arab hotel and the Aon Center, a different skyscraper. We need to first calculate the average height of a single floor for each building to compare them. Since the Burj al Arab stands 1053 feet high and has 60 floors, we divide the total height by the number of floors to determine the height per floor.
Total height of Burj al Arab: 1053 feet
Number of floors in Burj al Arab: 60
Height per floor in Burj al Arab: 1053 feet / 60 floors = 17.55 feet
However, the information provided does not include the height of the Aon Center nor its floor count to compare with the Burj al Arab as requested in the question. Additional data is needed to make the comparison. Thus, we are unable to determine how much taller or shorter each floor of the Burj al Arab is compared to the Aon Center's floors with the given information.
The perimeter of a triangle is 34 meter. The sides measure 16 meters, 8 meaters, and x meters. What is the value of x?
During a game,Naomi lost points.She lost fewer than 3 points.Use an integer to describe her possible score.
Naomi lost fewer than 3 points in a game, implying the integers representing her score could be 0, -1, or -2. Here, -1 and -2 represent she gained points.
Explanation:In a game, Naomi lost points. As stated, she lost fewer than 3 points. Therefore, she could have lost 2, 1, or 0 points. But, as this asks for an integer, we should consider negative numbers as well. Hence, she could have lost -1 or -2 points. In this context, these integers represent she has gained 1 or 2 points. Therefore, use integers such as -2 or -1 to describe Naomi's possible score after she supposedly 'lost' points but actually gained.
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A banana bread recipe calls for 3/4 cup butter. One tablespoon equals 1/16 cup. How many tablespoons of butter are needed to make the banan bread?
Answer:
There are needed 12 tablespoons of butter to make the banana bread.Step-by-step explanation:
The recipe calls for 3/4 cups of butter.One tablespoon equals 1/16 cup.To solve this problem, we just need to use the rule of three. If one tablespoon equals 1/16 cups, how many tablespoons would be 3/4 cups:
[tex]x=\frac{3}{4} \ cups \ \frac{1 \ tablespoon}{\frac{1}{16} \ cups } \\x=\frac{3}{4} \times \frac{16}{1} \ tablespoon\\ x= 12 \ tablespoon[/tex]
Therefore, there are needed 12 tablespoons of butter to make the banana bread.
find the product of these numbers: 367 614
a car travels 345 miles in 7 hours (with a constant speed). how far can it travel in 9 hours (with the same speed)?
for a cub scout meeting, the leader bought 4 pizzas, and 1 1/2 of the pizzas contained pepperoni. the scouts ate 5/6 of the pizzas that contained pepperoni. the remaining pizza that contains pepperoni represents what fraction of the 4 pizzas that the leader bought?
Answer: Hello there!
We have 4 pizzas, and 1 and 1/2 of them have pepperoni (and 2 and 1/2 do not have pepperoni).
The scouts ate 5/6 of the pizzas that contained pepperoni, this means that they ate 5/6 of the 1 and 1/2 pizza with pepperoni (that can be written as 1 + 1/2 = 3/2)
first we could write the initial fraction of pizza with pepperoni, this is the amount of pizza with pepperoni divided by the total amount of pizza:
(3/2)/4 = 3/8
and now, because the scouts eat 5/6, there is 1/6 left.
then we have (1/6)*(3/8) = 3/48 of the 4 original pizzas, but we could simplify it a bit by dividing both denominator and numerator by 3.
3/48 = 1/16
Classify the polygon by its number of sides. Does the polygon appear to be regular or not regular?
A.
hexagon, not regular
B.
hexagon, regular
C.
octagon, not regular
D.
octagon, regular
elizabeth uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of trail mix.if each serving contains the same amount of trail mix.how much is in each serving.
What is 9.57 as a mixed number and as a improper fraction? (not simplified)
what the ratio, 75:24 as a decimal
Sam's recipe calls for 2 1/2 cups of flour. Pete's recipe calls for 2 1/4 times the amount of flour in Sam's recipe.
Which statement is true about the recipes?
A. Sam's recipe uses less flour than Pete's.
B. Pete's recipe uses exactly 2 1/4 cups of flour, so he uses less flour in his recipe than Sam does.
C. Pete uses less flour than Sam does. Sam's recipe uses 1/4 more flour than the amount in Pete's recipe.
The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse?
22 centimeters
26 centimeters
30 centimeters
34 centimeters
Answer:
C
Step-by-step explanation:
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a team of 4 people participates in a 400 yard relay race. Each team member runs the same distance. The team completes the race in a total of 53.2 seconds. What is the average running time for each person.