A dance school allows a maximum of 15 students per class. If 112 students sign up for dance class,how many classes does the school need to offer to accommodate all the students
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Aa a member of a music club you can order CDs for $14.99 each the music Club also charges 4.99 for each shipment the expression 14.99n + 4.99 represents the cost of n CDs find total cost for ordering 3 CDs
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n =3
equation 14.99n +4.99 =
14.99*3 + 4.99 = 44.97 + 4.99 = $49.96
What is 45−−√ in simplest radical form?
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If it takes 6 hr. for a 2,400 mi. flight from Philadelphia to Los Angeles, what is the average speed of the plane?
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Two quantities, x and y, are directly proportional. If you take a third of x, what happens to y?
A: It is tripled.
B: It is cubed.
C: It depends on the starting value of x.
D: It is multiplied by 1/3.
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One-third of x will also give one-third of y. The correct option is D.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that two quantities, x and y, are directly proportional. If x is directly proportional to y it means that x varies directly with y.
x ∝ y
If multiply the value of x by ( 1 / 3 ) the value of y will also be multiplied by ( 1 / 3 ).
Therefore, one-third of x will also give one-third of y. The correct option is D.
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if 2=27,what is the measure of the supplement of gbc
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m<GBC = m<2 = 27
Supplementary angles have measures that add to 180 deg.
The supplement of <GBC measures 180 - 27 = 153 deg.
solve using the standard algorithm 649 x 53
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To solve 649 x 53, use the standard algorithm by multiplying each digit and adding the results.
Explanation:To solve the multiplication problem 649 x 53 using the standard algorithm, follow these steps:
Multiply 3 (the ones digit of 53) by each digit of 649, starting from the right:3 x 9 = 273 x 4 = 123 x 6 = 18Write down each product with a placeholder 0 to the right:2712 018 0 0Add up the numbers:27+ 12 0+ 18 0 0---------= 34 3 9Therefore, 649 x 53 = 34, 3 9.
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which fraction is greater 17/30 or 27/35
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To determine which fraction is greater, convert each to its decimal form. The comparison shows 27/35, which is approximately 0.7714, is greater than 17/30, which is approximately 0.5667.
Explanation:When comparing the fractions 17/30 and 27/35, it's helpful to find a common denominator or convert each to its decimal equivalent. To compare without finding a common denominator, you can convert each fraction to a decimal:
17/30 is approximately 0.5667,
27/35 is approximately 0.7714.
By comparing the decimal values, it's clear that 27/35 is greater than 17/30. Therefore, 27/35 is the greater fraction.
Please help!! I really don’t know what this is
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Add 7 on both sides.
Divide by -1/2 or multiply by -2.
Answer should be 8
Andrea gets 3 7/8 yards of purple ribbon, 3.7 yards of pink ribbon and 3 4/5 yards of blue ribbon. List the numbers in order from least to greatest.
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3 4/5 = 3.75
3 7/8 = 3.875
3.7 yards of pink, 3 4/5 yards of blue, 3 7/8 yards of purple is your answer
you can change all of them to fractions too, but i decided to change them all to decimals
hope this helps
The expression 3.14 x 10^3 is scientific notation for which of the following values?
A. 314
B. 3,140
C. 31,400
D. 314,000
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The expression 3.14 x 10³ is scientific notation for B. 3,140.
What is meant by Scientific Notation?Scientific notation is a way of writing a large number or small number with many digits in a simpler form using the power of 10.
For example, 30,000 can be written as 3 × 10⁴.
So the given number is 3.14 x 10³.
The power of 10 has the number 3.
Hence the decimal point has to moved 3 decimal places to the right.
When it is moved to 1 place, it becomes 31.4.
When it is moved to 2 decimal places, it becomes 314.
When it is moved to 3 decimal places, it becomes 3140.
Hence the given expression is equivalent to 3140.
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the line plot below shows how many points fewer trevor scored in 20 games. In how many games did trevor score 18 points fewer?
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Paloma used these steps to solve the equation 6x+5=3(2x+1)6x+5=3(2x+1). Which choice describes the meaning of her result, 2=02=0?
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The given equation 6x + 5 = 3(2x + 1) has no possible solution.
What is a mathematical function, equation and expression?function : A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
6x + 5 = 3(2x + 1)
The given equation is -
6x + 5 = 3(2x + 1)
6x + 5 = 6x + 3
5 = 3
Therefore, the given equation 6x + 5 = 3(2x + 1) has no possible solution.
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Consuela wrote the expression 2 × (31 + 47). She states that the expression is a product and that the expression (31 + 47) is a factor. Marcus states that the expression (31 + 47) is a sum of two terms. Who is correct? Explain.
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A product is anything multiplied together, and what you multiply to get that product is a factor of the product. with 2 x (31 + 47), you're multiplying two factors, 2 and (31 + 47), to get the product 2 x (31 + 47).
A sum is anything added together, so 31 + 47 is a sum.
Answer: They are both correct, A sum is anything added together, so 31 + 47 is a sum.
Which expressions result in a product that has a best estimate of 80? Select all that apply.
A. 0.82 x 112
B. 42.3 x 21
C. 1.2 x 78
D. 0.19 x 37
E. 8 x 9.62
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Answer:
Step-by-step explanation:
E and B are he answers
Answer:
Step-by-step explanation:
i took it and it was a, c and e
Use the Change of Base Formula to solve: 2^2x = 90. Round to the nearest tenth.
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4x＝90
x＝22.5
Robert's recipe has 5 onions and 9 tomatoes for the pizza. Jeff's recipe has 8 onions and 10 tomatoes for the pizza. Whose recipe has a lower ratio of onions to tomatoes
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Jeff-8/10
5 x 10
Robert-50/90
8 x 9
Jeff-72/90
Jeff has a lower ratio of onions to tomatoes
Austin is going to the movie theater. It is 3 3/5 miles from his house. Austin takes his scooter, but it breaks down 2/3 of the way to the theater. How far is Austin from his house?
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Final answer:
Austin's scooter breaks down 2/3 of the way to the movie theater, which is 3 3/5 miles away from his house. After covering 2/3 of the journey, he is therefore 1 1/5 miles from his house.
Explanation:
Austin is going to the movie theater which is 3 3/5 miles from his house. When his scooter breaks down 2/3 of the way there, we need to calculate how far he is from his house. To find this, we multiply the total distance to the movie theater by the fraction 2/3:
3 3/5 miles = 18/5 miles (since 3 3/5 = 15/5 + 3/5 = 18/5)(18/5) * (2/3) = 36/15 = 12/5 milesThis means Austin covered 12/5 miles when his scooter broke down, leaving him with the remainder of the journey to complete:
Total distance - distance covered = 18/5 miles - 12/5 miles = 6/5 milesTherefore, Austin is 6/5 miles or 1 1/5 miles from his house.
In a science experiment, two tomato seeds were planted and watered. After six weeks, the plant that was fertilized was 26 centimeters tall. The plant that was not fertilized was only 74% as tall. What was the height of the shorter plant?
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Answer:
Ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttteeeeeeeeeeeeeeeeeeeeeeeppppppppppppppp------bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy-step explanationnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
a person who is at least 65 years old is often considered a senior citizen. Write an inequality that represents this situation
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x greater than/equal to 65
which function is increasing? HELP
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Hiya :)
The answer is
f(x)=5^x
Hope this helped!!!!
Have a great day!!!!
:)))
Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?
A- 9(1 + 21)
B- 3(3 + 7)
C- 3(3 + 21)
D- 9(1 + 3)
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9 = 3 x 3
21 = 3 x 7
GCF = 3
3 x 3 + 3 x 7 = 9 + 21 = 30
Which values are solutions to the inequality –3x – 4 < 2? Check all of the boxes that apply.
-4
-2
0
3
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it is c and d (edge)
To solve the inequality –3x – 4 < 2, subtract 4 from both sides and then divide by -3, we get x > -2. The values that satisfy this inequality are -4, 0, and 3.
Explanation:To solve the inequality –3x – 4 < 2, we need to isolate the variable x. First, we subtract 4 from both sides of the inequality: –3x < 6. Next, we divide both sides of the inequality by –3, but since we are dividing by a negative number, we need to flip the inequality sign: x > -2. Therefore, the values that are solutions to the inequality are greater than -2. Among the options provided, the values that are greater than -2 are -4, 0, and 3. Therefore, you should check the boxes next to -4, 0, and 3.
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A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. Write and solve an equation to find how many text messages x you had.
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hope this helps
Answer:
An equation is 0.25x+30=59.5.
You had 118 text messages.
Step-by-step explanation:
Which of the following is an equivalent form of the mixed number -12 3/4?
A) 45/5
B) -51/4
C) -45/4
D) -48/4
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write an equation, in slope-intercept form, to model each sitution. : the population of pine bluff is 6791 and is decreasing at the rate of 7 per year.
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So since it's decreasing we know that it'll be a negative. It decreases by 7 pine bluffs per year. We can use that equation to model the situation.
But let me show you an example to prove it.
Lets say we want to know how many pine bluffs there would be in 3 years
y = -7(3) + 6791
y = -21 + 6791
The -21 is the total amount lost in those 3 years, but we have to subtract it from the original amount which was 6791
y = -21 +6792
y = 6770
In three years there would only be 6,770 pine bluffs.
Please check over this!! 20 points! easy fractions
8 SIMPLE QUESTIONS
______________________________________
QUESTION 1
All of the following fractions are proper fractions, except
A-11/12
B-7/5
C-1/6
or D- 8/15
___________________________________________________________________
QUESTION 2
How could you model the fraction 3/8 with a circle?
A-Divide the circle into eight equal pieces, and shade three of them.
B-Draw three circles, and shade eight pieces.
C-Divide the circle into three equal pieces, and shade eight of them.
D-Divide the circle into eleven pieces, and shade one of them.
_________________________________________________________________
QUESTION 3
Kara has four boy cousins and three girl cousins. Write a fraction to represent the part of her cousins that are girls. Use / for the fraction line.
__________________________________________________________________
QUESTION 4
Josh has eight pairs of white socks, two pairs of black socks, and one pair of blue socks. Write a fraction to represent the part of his socks that are white. Use / for the fraction line.
__________________________________________________________________
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2 is correct
3 is correct
4 is correct
5 is correct
6 is correct
7 is correct
8 is correct
Hoped I helped!
2:A
3: 3/7
4: 2/11 for black, 1/11 blue, and 8/11 is the white
hi I really need help with a and b. thank you
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[tex] \frac{27}{45} [/tex] = [tex] \frac{x}{5} [/tex]
Next, you would cross multiply.
135 = 45x
Now, the last step would be to isolate the x. To do this, you would divide both sides by 45.
3 = x
[tex] \frac{27}{45} [/tex] = [tex] \frac{3}{5} [/tex]
b) To solve this equation, you would need to fill in the blank with a substitute. Let x represent the unknown number.
[tex] \frac{2}{6} [/tex] = [tex] \frac{3}{x} [/tex]
Next, you would cross multiply.
18 = 2x
Now, the last step would be to isolate the x. To do this, you would divide both sides by 2.
9 = x
[tex] \frac{2}{6} [/tex] =[tex] \frac{3}{9} [/tex]
I hope this helps!
Use linear approximation to estimate 1/4.002
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The estimation for 1/4.002 is approximately 0.2499.
Linear approximation involves using the equation of a line to estimate a value close to a given point. In this case, to estimate 1/4.002, we can use the fact that 1/4 is approximately 0.25 and find the equation of the line passing through 1/4 and 1/4.002.
To find the linear approximation, we first determine the slope between the two points, which is the derivative of the function at the known point. Then, we use the point-slope form of a line equation to find the approximation. Rounding to four decimal places, the estimate for 1/4.002 is approximately 0.2499
what is the biggest number
7.1
7.1
7.11
7.101
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7.100
7.110
7.101
This just depends if you are turning fractions and percents into decimals.
Which pile has more pennies