Answer:
The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.
Step-by-step explanation:
The dividend of the expression 4,396 divided by 4 is 4396. The question enunciated we round up the dividend to the nearest hundred and thousand before estimating the expression.
4396 to the nearest hundred is 4400. The nearest hundred of 396 is 400.
4396 to the nearest thousand is 4000.
Now, let's do the estimate
4400/4 and 4000/4
1100 and 1000.
The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.
Brian a bought 64 fluid ounces of her favorite drink. How many 8 fluid-ounce glasses can she fill with the drink?
A tank starts out with 860 gallons of liquid. A pump adds liquid to the tank at a constant rate. After 8 hours, the tank contains 1,036 gallons. How many gallons of liquid were pumped per hour?
18
22
176
237
Answer:
B. 22
Step-by-step explanation:
Let x represent number of gallons per hour.
We have been given that a pump adds liquid to the tank at a constant rate. The number of gallons added after 8 hours would be [tex]8x[/tex].
We are also told that the tank starts out with 860 gallons of liquid. So total amount of liquid after 8 hours would be [tex]8x+860[/tex].
The total amount of liquid in the tank after 8 hours is 1,036, so we can represent this information in an equation as:
[tex]8x+860=1,036[/tex]
[tex]8x+860-860=1,036-860[/tex]
[tex]8x=176[/tex]
[tex]\frac{8x}{8}=\frac{176}{8}[/tex]
[tex]x=22[/tex]
Therefore, 22 gallons of liquid were pumped per hour.
The price for a pair of sandals is $49.95 in June. In August the price is 60% less. Which expression gives the price of the sandals in August? A) .40(49.95) B) .60(49.95) C) 49.95 - .40(49.95) D) 49.95 + 0.40(49.95)
A is the correct answer
The expression gives the price of the sandals in August would be A 0.40 x 49.95
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Consider the information that the price for a pair of sandals is $49.95 in June.
In August the price is 60% less then;
After getting 60% discount customer need to pay only 40% of the price.
This can be written as:
40% of 49.95
0.40 x 49.95
Therefore, the expression gives the price of the sandals in August would be A 0.40 x 49.95
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4 1/2 divided by 2 3/8
The fraction we get after dividing [tex]4\frac{1}{2}[/tex] by [tex]2\frac{3}{8}[/tex] = 36/19.
Here we have to divide,
[tex]4\frac{1}{2}[/tex] by [tex]2\frac{3}{8}[/tex]
Now we can write it into simple fraction we get,
[tex]4\frac{1}{2}[/tex] = 9/2
[tex]2\frac{3}{8}[/tex] = 19/8
Since we know that,
Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in splitting fractions is to get the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators.
Therefore,
9/2 ÷ 19/8 = 9/2 x 8/19
= (9x4)/19
= 36/19
Hence,
[tex]4\frac{1}{2}[/tex] by [tex]2\frac{3}{8}[/tex] = 36/19
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How multiplying with 6 is like multiplying with 3
because 6 is a multiple of 3. easy enough bubbo
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.
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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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
Kim is 4 years older than one third the age of her sister. Kim is at least 9 years old. How old could her sister be?
if the spinner is spun 60 times, how many times can you expect the spinner to land on 3
The spinner will land on 3 is 10 times.
What is a spinner?The probability of the spinner landing on a number is equal to the fraction of the spinner that this number occupies.
Given that, a spinner is spun 60 times, we need to find that, how many times the spinner to land on 3,
Let us assume that there are 6 equal divisions in the spinner,
So, the chance of landing on 3 for the first time = 1/6
So, for 60 times = 1/6 x 60 = 10
Hence, the spinner will land on 3 is 10 times.
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What to the power of four equals 256
Clara estimates that the length of a hiking trail is 5.75 km. She later learns that its actual length is 6.25 km. What is the percent error in Clara's estimate, to the nearest tenth of a percent? 7.7% 8.0% 11.0% 11.5%
Answer:
Step-by-step explanation:
8.0%
What to the power of 3 equals 729
To find what number to the power of 3 equals 729, we can experiment with cubes of small numbers. We quickly identify that 9 cubed (9×9×9) equals 729, which means 9 is the correct answer.
Explanation:The question is asking to find the number that, when cubed (raised to the power of 3), is equal to 729. This operation is also referred to as finding the cube root.
Firstly, let's investigate through experimentation. We know that cubing of exponentials involves raising a number to the power of three. For instance, 2 cubed is 2×2×2, which equals 8. Now, we're looking for a number that when cubed, results in 729.
If you try to cube smaller numbers, you'll see that cubing 8 gives us 512 and cubing 9 gives us 729. The cube of 9, written as 9×9×9, indeed equals 729. Therefore, 9 to the power of 3 equals 729.
When it comes to numbers that are not as straightforward, a calculator or understanding of cubing of exponentials would be necessary. However, in this case, through simple experimentation and knowledge of cube numbers, we have found that 9 is the number sought.
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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 sum of two numbers is 83. If twice the larger number is added to three times the smaller number, the result is 197. Find the numbers.
Emerson needs to divide 48 packages of stickers among 6 friends. there are 52 stickers in each package. how many stickers will each friend get? write an equation to solve the problem.
Use the commutative property to find the unknown number in the equation
35x70=mx35
1. Use the graph to make a prediction for the amount of pay received if the sales are $150.
About $70
About $90
About $80
About $100
2. Use the graph to make a prediction of the number of gallons left in the tank if you drove 150 miles.
9
8
11
Answer:
$90
about 10
Step-by-step explanation:
I took the test
You earn (4x+12) points after completing X levels of a video game and then lose (2x-5) points. Write an expression that represents the total number of points you have now.
Sania cut two pieces of string for a craft project. The first piece was 4.07 meters long. The second piece was 6.35 meters long.
What would the total length of the two pieces be if she lined them up end to end?
Enter your answer in the box.
Answer:
10.42
Step-by-step explanation:
7=6x-11, -2x-3y=-7
What's the answer?
Show 2 ways that 6 people can share an 8-segment chewy fruit worm
Final answer:
Two ways to share an 8-segment chewy fruit worm among six people include equal division with some cutting involved for the leftover pieces, or using a trading system based on individual preferences.
Explanation:
There are multiple ways that 6 people can share an 8-segment chewy fruit worm, but let's consider two simple methods. First, we can look at equal division where each person would get 1 segment, and 2 segments are left over. These could then be halved, with six of the people receiving an extra half-segment each, ensuring everyone gets an equal share.
Another method would involve the ideas of trade and preference. Assume each person has different preferences for segments of the worm, similar to the trading scenario of the siblings with Snickers and Milky Ways. Here, they can negotiate and exchange segments based on their tastes, potentially leaving some with more segments but satisfying everyone's preference. This method requires cooperation and may result in an unequal distribution but can lead to each person being happy with their share.
In Mrs. Diego’s class, 75% of all the students in the class participated in a clean up day. There are 32 students in the class. How many students participated in the clean up day? A. 18 B. 20 C. 24 D. 28
Answer:
D.28
Step-by-step explanation:
What is the measure of ∠C?
The measure of ∠C in the triangle, ΔCDE, in the given figure, is 43°.
A triangle is a geometric figure with three sides, three angles, and three vertices. The sum of all the angles of a triangle is 180°. It is one of the most elementary geometric figures.
As it is known that the sum of all angles of a triangle is 180°,
∠C + ∠D + ∠E = 180°
∠C = 180° - ∠D - ∠E
∠C = 180° - 90° - 47°
∠C = 180° - 137°
∠C = 43°
Thus, the measure of ∠C is 43°.
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miranda says that 30x26 is greater than 20x36 is she correct ?
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 equal to
2x+8-22x=-2
if you multiply two decimals that are less than one can you predict whether the product will be less than or greater than either of the factors? Explain
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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what the ratio, 75:24 as a decimal