what is a close but easier numbers to estimate the answer to the problem
A local charity is selling seats to a basketball game seats cost $20 each and snacks cost an additional $5 the charity needs to raise $400 to consider this event a success
Tell wether the relationship is a proportional relationship or not.
On a grid Joe’s house is marked at ( -5, -3 ) and Andy’s house is marked at ( 3, -1 ). What is the distance, on the grid, between Joe’s house and Andy’s house?
Answer:
The distance is [tex]\sqrt{68} =2\sqrt{17}[/tex]
Step-by-step explanation:
Locating the points on the plane we can form a right triangle between them and solve the problem using the Pythagorean theorem.
*see attached image*
The sides of the triangle formed measure 8 and 2, so by pythagoras, the unknow side [tex]x[/tex] wich is the distance between the houses is:
[tex]x^2=8^2+2^2\\x^2=64+4\\x^2=68\\x=\sqrt{68}=\sqrt{4*17}=2\sqrt{17}[/tex]
So the distance, on the grid, between Joe’s house and Andy’s house is [tex]2\sqrt{17}[/tex]
4ab over c divided by 3a over 2c
[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.
To simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]
1. Rewrite the expression using the rule that dividing by a fraction is the same as multiplying by its reciprocal:
[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]=[tex]\frac{4ab}{c} *\frac{2c}{3a}[/tex]
2. Cancel out common factors:
- 'c' in the numerator and denominator cancels out.
- 'a' in the numerator and denominator cancels out.
3. After canceling, we're left with:
4b * ([tex]\frac{2}{3}[/tex])
4. Multiply 4b by [tex]\frac{2}{3}[/tex]:
4b * [tex]\frac{2}{3}[/tex] = [tex]\frac{8b}{3}[/tex]
So, [tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.
The probable question maybe:
simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex].
8 story building each story was 15 4/5 in height how tall was the building
Final answer:
To calculate the height of an 8-story building, where each story is 15 4/5 feet tall, multiply the height of one story by the number of stories, resulting in a total height of 126.4 feet.
Explanation:
The question asks how tall a building would be if it has 8 stories, with each story being 15 4/5 feet in height. To find the total height of the building, you need to multiply the height of one story by the number of stories. The height of one story is 15 4/5 feet, which can also be written as 15.8 feet when converted to a decimal. Therefore, the calculation would go as follows:
15.8 feet/story × 8 stories = 126.4 feet
This calculation shows that the total height of the building is 126.4 feet. This example demonstrates how to apply multiplication in real-life scenarios, specifically in calculating the height of structures based on the height of individual stories.
Answer:
[tex]\displaystyle \frac{632}{5} \;units\;\text{or}\; 126\;\frac{2}{5}\;units \;\text{or}\; 126.4\;units[/tex]
Step-by-step explanation:
We can multiply the number of stories (8) by the height of each story (15 4/5 units) to find how tall the building is.
[tex]\displaystyle 8*15\frac{4}{5}=8*\frac{79}{5} =\frac{8*79}{5} = \frac{632}{5} \;units\;\text{or}\; 126\;\frac{2}{5}\;units \;\text{or}\; 126.4\;units[/tex]
Hi!
Which of the following is closest to 0.0432
A) 4 times 10 to the power of negative 2
B) 4 times 10 to the power of negative 1
C) 4 times 10 to the power of positive 1
D) 4 times 10 to the power of positive 2
Final answer:
The exponential form closest to the number 0.0432 is 4 times 10 to the power of negative 2, because it gives us 0.04 which is very close to 0.0432. So the correct option is A.
Explanation:
The student is asking which exponential form is closest to the number 0.0432. To express a number in scientific notation, we move the decimal point to the right or left to create a new number from 1 up to 10, and then we multiply this number by 10 raised to a power that corresponds to the number of places the decimal point was moved.
If we look at the options given:
A) 4 times 10 to the power of negative 2 would be equivalent to 0.04, which is very close to 0.0432.B) 4 times 10 to the power of negative 1 is 0.4, which is much larger than 0.0432.C) 4 times 10 to the power of positive 1 is 40, andD) 4 times 10 to the power of positive 2 is 400, both of which are drastically larger than 0.0432.Therefore, the correct answer is A) 4 times 10 to the power of negative 2, because it is the option closest to 0.0432.
Is this question impossible? If not help with a solution
Simon tosses a coin 20 times. The coin lands heads up 7 times. Based on these results, how many times can Simon expect the coin land heads up in the next 100 tosses?
Answer choices:
28
21
14
35
Roxanna earns 1.5 her normal hourly rate for overtime pay. Last week, Roxanna earned 72.00 I'm overtime pay for 4 hours. What is Roxanna's normal hourly pay?
Roxanna's normal hourly pay is $12.00.
Explanation:To find Roxanna's normal hourly pay, we need to first calculate her overtime pay rate. We know that she earns 1.5 her normal hourly rate for overtime pay. Since she earned $72.00 in overtime pay for 4 hours, we can set up an equation to solve for her normal hourly pay:
Overtime Pay = Normal Hourly Pay × Overtime Hours × Overtime Rate
$72.00 = Normal Hourly Pay × 4 × 1.5
Simplifying the equation, we have:
Normal Hourly Pay = $72.00 / (4 × 1.5)
Normal Hourly Pay = $72.00 / 6
Normal Hourly Pay = $12.00
Therefore, Roxanna's normal hourly pay is $12.00.
Learn more about overtime pay here:https://brainly.com/question/33181476
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Which statements include two quantities in the real world that are additive inverses? Select each correct answer.
A. A diver descends 18 feet and then ascends 5 feet.
B. A person pours 6 ounces of water out of a glass and then pours 6 ounces of water back in to the glass.
C. The outside temperature increases 15 degrees from the morning to the afternoon, and then decreases 6 degrees from the afternoon in to the evening.
D. A person loses 12 points playing a game and then earns 12 points.
Did the test B and D are correct
round 89972 to 3 significant figures
90000 that's the answer
can the brainliest answer plz
is 1.99 a rational number?
Write and solve an equation that represents the following:
Twenty more than a number is eighteen
In eleven years ted will be 22 years old ? How old is he now ?
Your friend has 5 more then twice as many game tokens as your sister. Let T be the number of game tokens your sister has. Write and expression for the number of game tokens your friend has
The number of game tokens that the friend has can be represented as the algebraic expression '2T + 5', where 'T' represents the number of game tokens the sister has.
Explanation:The question asks to express the number of game tokens your friend has in terms of 'T', the number of game tokens your sister has. As the information provided states, your friend has '5 more than twice' the amount which your sister has.
The mathematical expression for this will be '2T + 5', where 2T is twice the number of tokens your sister has and 5 is the extra tokens your friend has over twice your sister's total.
So, if your sister has 'T' number of game tokens, your friend will have '2T + 5' number of game tokens.
Learn more about Algebraic Expression here:https://brainly.com/question/953809
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A friend asks you to think of a number, double it, then add 5. Write an algebraic expression to describe your friend's directions, and make a table of possible values.
The length of a particular rectangle is 4 greater than the width of the rectangle. If the perimeter of the rectangle is 16, what is the area of the rectangle?
Solve the equation: -12 = 3x + 3
The function graphed is f(x). What is the function rule? Write the rule in function notation, using the slope-intercept form of a line. Enter your answer in the box.
Answer: i did it
Step-by-step explanation:
8. The population of Grand City in 1990 was 5,250. Assume the population is increasing at 2.5% per year. What was the population in Grand City in 2010 (round answer to the nearest person)?
Why could the mean of the data set below be misleading? ages of teachers: 29, 38, 39, 26, 29, 29, 39, 77, 38, 29
A class of 12 girls and 14 boys is going to choose 3 students to represent them in student government. Allie suggested that the first 3 students to arrive in class the next day should be the representatives. Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. Whose method would result in a fair sample that represents the class population, and why?
divide use partial quotients. 2950÷67
Elio Makes candles that are 14 cm tall. Each candle burns eight hours before going out. He is wondering how many hours a 21 cm tall candle can burn for.
Final answer:
A 21 cm tall candle should burn for 12 hours, as it is 1.5 times taller than a 14 cm candle which burns for 8 hours.
Explanation:
The problem is one of direct proportion where the height of the candles is directly proportional to the burning time. If a 14 cm tall candle burns for 8 hours, then a 21 cm tall candle, which is 1.5 times taller, should burn for 1.5 times longer. Hence, to calculate the burning time for the 21 cm candle, we multiply 8 hours by 1.5.
Calculation:
21 cm / 14 cm = 1.5
8 hours × 1.5 = 12 hours
Therefore, a 21 cm tall candle should burn for 12 hours.
NEED HELP ASAP 12+ PTS WILL MARK BRAINLIEST A remote controlled toy truck is traveling at a constant rate of 15 feet per second. What is the distance traveled when time = 3 seconds? Table with column 1 heading Seconds and values 0, 1, 2, 3 and column 2 heading Feet and no values showing. A. 5 ft B. 15 ft C. 30 ft D. 45 ft
Whole number between 9 4/9 and square root of 144
Answer:
Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex] are 10 and 11.
Step-by-step explanation:
To find : Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex]?
Solution :
Writing numbers into simpler forms,
[tex]9\frac{4}{9}=\frac{85}{9}\approx 9.44..[/tex]
[tex]\sqrt{144}=12[/tex]
So, The number between 9.44.. and 12.
i.e. [tex]9.44..<x<12[/tex]
Whole number is defined as a number without fractions or decimal.
Between 9 and 12 the whole numbers are 10 and 11.
Therefore, Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex] are 10 and 11.
Solve the equation, justify each step with an algebraic property:
3(2-x)=24
Starting at 1:00 pm the temperature changes -4 degrees per hour. How long will it take to reach -1 degrees?
please explain your anwser
Janita practices on the track field 1.5 hours each day before a track meet. If there are 6 days until the track meet, how many hours will Janita practice?