Answer:
20 ounces
Step-by-step explanation:
A cereal box says that it now has 25% more originally came with 16 ounces of cereal how much cereal does the box come with now
This is a percentage increase question
The INITIAL amount of cereal in the box = 16 ounces
The percentage increase = 25%
The CURRENT amount of cereal = ?
We solve this using the formula
Percentage increase = Increase/Initial amount × 100%
Step 1
We calculate the Increase in the amount of cereal
25% = Increase/16 × 100%
Cross Multiply
25 × 16 = Increase × 100
Increase = 25 × 16/100
Increase = 400/100
Increase = 4 ounces
Step 2
The current amount of cereal =
Initial Amount + Increase in cereal
= 16 ounces + 4 ounces
= 20 ounces.
Hence, the amount of cereal that comes with box now is 20 ounces
Answer:
20
Step-by-step explanation:
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
find the selling price
original price: $16.95
discount: 54%
tax: 4%
Answer:
$8.11
Step-by-step explanation:
Original Price: $16.95
Discount: 54% Decimal Form: .54
Tax: 4% Decimal Form: .04
Let's start with the discount...
16.95 x .54 =9.153 Round = 9.15
16.95 - 9.15=7.80
Now, for the tax..
7.80 x .04=0.312 Round = 0.31
7.80 + 0.31=8.11
Hence. the Selling price is $8.11
please help !! i’m struggling
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A party rental company has chairs and tables for rent.The total cost to rent 5 chairs and 3 tables is $39.The total cost to rent 2 chairs and 12 tables is $129.What is the cost to rent each chair and each table?
Answer:
The cost to rent each chair is $0.6.
The cost to rent each table is $10.5.
Step-by-step explanation:
Let's denote the cost of renting one chair as c and the cost of renting one table as t. Then we can write two equations based on the given information:
5c + 3t = 39 (equation 1)
2c + 12t = 129 (equation 2)
We can use these equations to solve for c and t. One way to do this is to solve for one variable in terms of the other in one of the equations, and then substitute that expression into the other equation. For example, we can solve equation 1 for c:
5c + 3t = 39
5c = 39 - 3t
c = (39 - 3t)/5
Now we can substitute this expression for c into equation 2:
2c + 12t = 129
2[(39 - 3t)/5] + 12t = 129
Simplifying and solving for t, we get:
(78 - 6t)/5 + 12t = 129
78 - 6t + 60t = 645
54t = 567
t = 10.5
So the cost of renting one table is $10.5. We can substitute this value back into equation 1 to solve for c:
5c + 3t = 39
5c + 3(10.5) = 39
5c = 3
c = 0.6
Therefore, the cost of renting one chair is $0.6.
In summary, the cost to rent each chair is $0.6 and the cost to rent each table is $10.5.
What is the 15% of 20
Answer:
Step-by-step explanation:
15% of 20 is 3
write and solve an inequality to find the possible values of x
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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In the following exercises, multiply
Graph the rational number on a number line. 98/28
The required number line attached below shows the absolute value of the rational number 9/28 is from 0.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
The rational number is given in the question, as follows:
98/28
We have to determine the graph of the rational number on a number line.
As per the question, we can write the simplest form of the fraction as:
⇒ 98/28 = 7/2
Thus, the number line attached below displays the distance of the fraction from 0.
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A pipe has a diameter of 2.5 inches. Insulation that is 0.5 inch thick is placed around the pipe. What is the diameter of the pipe with the insulation around it?
Answer:
So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.
Step-by-step explanation:
To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:
C = 2 * π * r
Where:
· C = circumference of the pipe
· π = the mathematical constant approximately equal to 3.14
· r = the radius of the pipe
Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:
r = 2.5 inches + 0.5 inch = 3 inches
Plugging in the values:
C = 2 * π * 3
C = 6.28 * 3
C = 18.84 inches
Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.
True or False: If the discriminant is less than zero, then the graph will never cross the x-axis.
False
True
Answer:
True
Step-by-step explanation:
If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots
If the discriminant \(D=b^2-4ac > 0\), then there are two real roots
If the discriminant \(D=b^2-4ac=0\), then there is only one real root
Find the amount of tax and the tax rate. Round to two decimal places.
Cost of item: $71
Selling price: $86.45
Tax amount: $
Tax rate: %
well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.
now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)
Which of the following statements is true of the data displayed on this graph? 3 2 (2,5) (1,2) 2 77 (3,4) (3, 1) 3 (6,5) (5,3) 5 6 O The set of points on this graph is a relation and is a function. O The set of points on this graph is a relation but not a function O The set of points on this graph is a function but not a relation O The set of points on this graph is not a function and not a relation.
The set of points on this graph is a relation but not a function
We know that every function can be a relation but every relation cannot be a function.
A relation means the connection between the input and the output.
A function means that for every input there should only be one output.
Here, we have the data as:
(2,5), (1,2), (3,4), (3, 1), (6,5) and (5,3)
We can say that it is a relation as for every input, there is an output.
But, it is not a function.
This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.
Therefore, the set of points on this graph is a relation but not a function.
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CAN SOMEONE PLEASE HELP ME WITH THISS WITH THE LAST TWO QUESTION PLEASE
Joanna recorded the number of laps she swam during practice in one week.
Freestyle 100
Breaststroke 50
Backstroke 60
Butterfly 25
What is the value of the breaststroke to butterfly ratio?
Type your answer as a fraction in simplest form.
Ratio Value:
Step-by-step explanation:
Number for Breaststroke = 50
Number for Butterfly = 25
Ratio of Breaststroke to Butterfly
= 50 : 25 = 2 : 1.
The ratio value is 2/1.
The elevation of Sports Authority Field in Denver, Colorado is 5280ft. If this is 275ft higher than seven times the elevation of Lucas Oil Field in Indinapolis, what is the elevation of Lucas Oil Field?
Answer:
The elevation of Lucas Oil Field is of 715 feet.
Step-by-step explanation:
Elevation of Sports Authority Field:
Of 5280 ft.
Compared to Lucas Oil Field:
275ft than seven times the Lucas Oil Field elevation of x.
Equation:
\(275 + 7x = 5280\)
What is the elevation of Lucas Oil Field?
Solving the above equation:
\(7x = 5280 - 275\)
\(7x = 5005\)
\(x = \frac{5005}{7}\)
\(x = 715\)
The elevation of Lucas Oil Field is of 715 feet.
The table shows values for a quadratic function.
A. 32
X
0
1
2
3
4
5
6
B. 10
y.
0
What is the average rate of change for this function for the interval from x = 3
to x = 5?
2
8
18
32
50
72
Answer:
c
Step-by-step explanation:
Verbal description of a rotation requires: Click all that apply.
-Center Point
-Horizontal Movement
-Vertical Movement
-Degree of Rotation
-Scale Factor
-Direction of Rotation
Answer:
A
C
D
Step-by-step explanation:
I copied some smart kid
help plssssssssssssssssssssssssssssss
Answer:
285 mi
Step-by-step explanation:
We can see that for every gallon, Josh drives 30 more miles. This means that he will drive 30*9.5 mi.
30*9.5 = 285
Suppose that the function g is defined, for all real numbers, as follows.
Find g (-2), g (1), and g (4).
The values of the functions, when g is defined for all real numbers is as follows:
g(-2) = -3
g(1) = 3
g(4) = 0
Given, the function g is defined for all real numbers.
g(x) = { 1x²/4 - 4 if x≠1
3 if x=1 }
g(-2):
here, x = -2
where x ≠ 1
therefore, g(-2) = 1x²/4 - 4
substitute x as -2
g(-2) = 1(-2)²/4 - 4
g(-2) = 4/4 - 4
g(-2) = 1 - 4
g(-2) = -3
g(1):
here, x = 1
where x = 1
therefore, g(1) = 3
g(4):
here, x = 4
where x ≠ 1
therefore, g(4) = 1x²/4 - 4
substitute x as 4
g(4) = 1(4)²/4 - 4
g(-2) = 16/4 - 4
g(-2) = 4 - 4
g(-2) = 0
Hence we get the values of g(-2), g(1) and g(4) as -3,3 and 0 respectively.
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17p5
Exponent:
Variable:
tify the term, coefficient, and the variable.
Term:
Coefficient:
For the given expression, the variable is p, coefficient is 17 and the exponent is 5.
Expression:
Expression refer the algebraic expression that consists of variables, numbers and math operators.
Given,
Here we have the expression 17p⁵
Now, we have to find the exponent, coefficient and variable.
As per the definition of exponent, the term exponent refers the power value of the expression.
So, the exponent is 5.
And the definition of coefficient is an integer that is written along with a variable or it is multiplied by the variable.
So, the coefficient is 17.
And the variable of this expression is p.
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The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
Share your own multi-step combination problem
My own multi-step combination problem is given below:
Amanda was planning a dinner party for 10 people, and she want to choose a menu of 3 fruit , 2 meat pie, and 2 desserts. Amanda have a total of 5 fruit , 4 meat pie, and 3 desserts to choose from. How many different dinner menus can Amanda create?How do you solve the multi-step combination?To solve this problem, Amanda need to use the formula for combinations and it is:
nCr = n! / (r! x (n-r)!)
where:
n = total number of items to select from
r is the number of items to select.
First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:
5C3
= 5! / (3! x (5-3)!)
= 10
Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be
4C2
= 4! / (2! x (4-2)!)
= 6
Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:
3C2
= 3! / (2! x (3-2)!)
= 3
To have the total number of dinner menus, we have to multiply these three numbers together:
= 10 x 6 x 3
= 180
Therefore, one can say that Amanda have 180 different dinner menus that she can be create.
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Help please I don’t get this
Answer: 62.5 (assuming it flies straight up, because we don't know the speed of the bird going straight, left, right, or back.)
Step-by-step explanation:
They want to know how far the bird flies in a minute. What you do is you use the char to help you figure it out, by dividing the first row both by 2, so it would give the answer under the altitude column.
A bag contains pennies and nickels. You are given the number of pennies in the bag
and the ratio of pennies to nickels. Find the number of nickels in the bag.
18 pennies: 6 to 1
Which best describes the function represented by the table -2,-5 2,5 4,10 6,15
Answer:
Direct variation; k=5/2
Step-by-step explanation:
Edge quiz, got it right
Find the derivatives.
f ' (0) exists if the limit,
\(\displaystyle \lim_{h\to0}\frac{f(0+h)-f(0)}h\)
exists, and f ' (0) has the value of this limit.
In order for this limit to exist, both limits from either side of h = 0 must exist.
Suppose h < 0. Then 0 + h is also negative, so by definition of f(x) we have
f (0 + h) = ((0 + h) + 1)² = h ² + 2h + 1
Then in the limit, if h is approaching 0, it must be from below or from the left:
\(\displaystyle \lim_{h\to0^-}\frac{f(0+h)-f(0)}{h} = \lim_{h\to0^-}\frac{(h^2+2h+1)-1}{h} = \lim_{h\to0^-}(h+2) = 2\)
Now suppose h > 0, so that 0 + h is positive and h approaches 0 from above or from the right. Then
f (0 + h) = 2 (0 + h) + 1 = 2h + 1
and
\(\displaystyle \lim_{h\to0^+}\frac{f(0+h)-f(0)}h = \lim_{h\to0^+}\frac{(2h+1)-1}{h} = \lim_{h\to0^+}2 = 2\)
Both one-sided limits match, so f ' (0) = 2.
5. You use a line of best fit for a set of data to make a prediction about an unknown value. The
correlation coefficient for your data set is -0.993. How confident can you be that your
predicted value will be reasonably close to the actual value?
Answer: The correlation coefficient is a measure of the strength and direction of the relationship between two variables. A correlation coefficient of -0.993 indicates a very strong negative relationship, which means that as one variable increases, the other variable decreases. This suggests that you can be quite confident that your predicted value will be reasonably close to the actual value.
Find the distance between the pair of points. (2,-5) and (7,7)
Answer:
5,12
Step-by-step explanation:
because 7-2 is 5 and it would take 12 to get to 7
Complete each equation so that it has infinitely many solution
(Dont mind the exercise underneath)
(Brainliest to correct answer)
The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
12x-x+8+3x=14x+8
The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.
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HELP ASAP I HAVE ONLY A COUPLE MINUTES!!!!!
Adela, Tony, Pang, and Ruben are all in 6th grade. Their average age is 11 years old. The list shows the difference from average for each.
Age Difference
Adela: 0.75 year
Tony: 11
10
years
Pang: –0.8 year
Ruben: -1
2
year
Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang
Answer:
I think it would be the second one or last one
Answer:
Pang, Ruben, Adela, and Tony is the correct answer
Step-by-step explanation:
You're welcome~