15% of that number is 39.
What is a percentage?
A percentage is a way to express a number as a fraction of 100. It is commonly used to represent a proportion or ratio of a number to a whole. For example, 10% of a number means 10/100 or 1/10 of that number, 25% means 25/100 or 1/4 of that number, and 15% means 15/100 or 3/20 of that number.
To find 15% of a number, if we know that 10% of it is 26, and 25% of it is 65, we can use algebra:
Let X be the number we're trying to find
10% of X = 0.10X = 26
25% of X = 0.25X = 65
We know that 15% is between 10% and 25% so we can use the proportionality between them:
15% of X = 0.15X = (15/10)*26 = 39
Hence, 15% of that number is 39.
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a bag contains eight real diamonds and seven fake diamonds. if eight diamonds are picked from the bag at random what is the probability that exactly 4 of them are real
The probability that exactly 4 of the 8 diamonds picked from the bag are real diamonds is 28/256 or 11.1%.
What is probability?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 meaning the event is impossible and 1 meaning the event is certain to occur. Probability theory is used to make predictions and calculate the chances of different outcomes in order to make decisions. Probability theory can also be applied to understand the behavior of complex systems.
This is calculated by first determining the total amount of possible outcomes. Out of the 8 diamonds picked, there are 8C4 = 70 ways in which the 4 real diamonds can be chosen. With 8 real diamonds and 7 fake diamonds, the probability of a real diamond being chosen is 8/15, and the probability of a fake diamond being chosen is 7/15. Therefore, the probability of having exactly 4 real diamonds is 70 x (8/15)^4 x (7/15)^4 = 28/256.
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(1) tyler ate x fruit snacks, and han ate 3/4 less than that. write an expression for the number of fruit snacks han ate. (2) mai skated x miles, and clare skated 3/5 farther than that. write an expression for the distance clare skated
(1) Han ate: x(1 - 3/4) = x/4. (2) Clare skated: x(1 + 3/5) = 8/5x.
What is algebraic expression ?
An algebraic expression is a mathematical phrase that can include numbers, variables, and operations. It represents a value or a set of values, but it does not provide a specific numerical result until the variables are replaced with specific numbers.
(1) Let's say x is the number of fruit snacks Tyler ate.
Han ate 3/4 less than that, so the expression for the number of fruit snacks Han ate would be x - (3/4)x = x(1 - 3/4) = x/4.
(2) Let's say x is the number of miles Mai skated.
Clare skated 3/5 farther than that, so the expression for the distance Clare skated would be x + (3/5)x = x(1 + 3/5) = 8/5x.
(1) Han ate: x(1 - 3/4) = x/4. (2) Clare skated: x(1 + 3/5) = 8/5x.
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PLEASE HELP ASAP!!!!!!
Car x travel 120 mile on 11 gallon of ga. Car y travel 100 mile on 9 gallon of ga which car get the better ga mileage
Car Y offers you more mileage than Car X per gallon.
The mileage of a vehicle is the number of miles that it can travel using one gallon or litre of fuel or gasoline.
To find the mileage per gallon, we find the distance that each car can travel using 1 gallon of gasoline.
For Car X,
Mileage = No. of miles/No. of gallons
= 120/11 = 10.909
For Car Y,
Mileage = No. of miles/No. of gallons
= 100/9 = 11. 11
Therefore, marginally, Car Y has the better mileage.
Thus, Car Y offers you more mileage than Car X per gallon.
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Use a = 7 and b = 28 to work out the value of these expressions.
The first one is done for you.
a+b
ab
09
(a + b)²
=
||
11
35
The requried value of given expression when a = 7 and b = 28 is 125.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
Given expression,
(a + b)² = a² + b² + 2ab
We have,
a = 7 and b = 28
(7 + 28)² = 7² + 28² + 2 × 7 × 28
35² = 49 + 786+ 392
125 = 125
Thus, the requried value of given expression when a = 7 and b = 28 is 125.
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a toy company packages modeling clay in the shape of a rectangular prism with dimensions 6 inches by 1 inch by 1/2 inch. they want to change the shape to rectangular pyramid that uses the same amount of clay. determine 2 sets of possible dimensions for the pyramid.
Two sets of possible dimensions for the rectangular pyramid that uses the same amount of clay as the rectangular prism are 2 inches base and 1.5 inches height, and 3 inches by a 1-inch base and 1-inch height.
The volume of the rectangular prism is 6 inches * 1 inch * 1/2 inch = 3 cubic inches. To determine the possible dimensions for the pyramid, we need to find the dimensions that will give us the same volume.
One set of possible dimensions for the pyramid would be a base that is 2 inches by 2 inches, and a height of 1.5 inches. This would give a volume of 2 inches * 2 inches * 1.5 inches / 3 = 2 cubic inches, which is the same as the original rectangular prism.
Another set of possible dimensions would be a base that is 3 inches by 1 inch and a height of 1 inch. This would give a volume of 3 inches * 1 inch * 1 inch / 3 = 1 cubic inch, which is the same as the original rectangular prism.
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The equation _____ represents an additive relationship.
Is it possible to construct a triangle when its sides are 5.4 cm 2.3 cm 3.1 cm?
No, it is not possible to construct the triangle with the given sides measurement of 5.4 cm, 2.3 cm, 3.1 cm .
As given in the question,
In the given triangle,
Measurement of the sides of the triangle are given by :
5.4 cm, 2.3 cm, 3.1 cm
To construct a triangle we need to follow the following property:
Sum of the measure of two sides of the triangle should be greater than the third side.
In the given measures:
( 2.3 + 3.1 ) cm = 5.4 cm which is equal to third side.
The property does not holds true.
Therefore, to construct a triangle with the given measure of the sides is not possible.
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Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions
to the nearest hundredth.
x² + 12x+11-0
a. x = -11 or x = -1
b. x = 1 or x = 6
c.
d.
x = 10 or x = -3
x =0 or x = -6
The solution for the given quadratic equation is x = -11 or x = -1.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
here, given that,
The given quadratic equation is,
x² + 12x + 11 = 0.
The graph of the equation is, plotted below.
From the graph,
The solutions are x = -1 and x = -11
The second approach to find the solution for the given quadratic equation is factorization method,
x² + 12x + 11 = 0
x² + 11x + x + 11 = 0
x(x + 11) + 1(x + 11) = 0
(x + 11) (x + 1) = 0
x = -11 or x = -1
So, the required solution is x = -11 or x = -1.
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A large parallelogram is divided into four small parallelograms as shown. The areas of three of the four small parallelograms are labeled in the diagram. What is the area of the remaining small parallelogram
The width of the last little parallelogram, 10/3, is determined by the provided statement.
Rhombuses are parallelograms, right?Furthermore, despite the fact that this is never the case, every rhombus is considered to be a parallelogram. A quadrilateral is a form that is flat. They arrive in quartets. A parallelogram is formed by two opposing sides that are flat and proportional to one another. Parallelograms come in 4 distinct varieties, including 3 unique varieties. Rhombuses, triangular shapes, cubes, and squares are the four types.
The diagonal area products are equal.
Divide the two sides by 6 20/6 = x = 10/3 since 4*5 Equals 6 * x 20 Equals 6 * x
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The complete question is-
A large parallelogram is divided into four small parallelograms as shown. The areas of three of the four small parallelograms are labeled in the diagram. What is the area of the remaining small parallelogram?
Write all names that apply to each number
5.45
tina also worked out the total number of points scored by the 16 students in the game
The mistake in Tina's total of numbers is she written the product of 0 and 1 as 1 instead of 0.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, Tina also worked out the total number of points scored by the 16 students in the game.
(0×1)+(1×3)+(2×5)+(3×4)+(4×3)=0+3+10+12+12=37
Tina made a mistake in her working to find the total number of points scored, she written the product of 0 and 1 as 1.
Therefore, the mistake in Tina's total of numbers is she written the product of 0 and 1 as 1 instead of 0.
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7 less than the product of k and 43 is k
Step-by-step explanation:
so, write that down mathematically :
7 - k×43 = k
to bring k to only one side of the equation we add e.g. 43k to both sides (it is important to perform any operation on an equation always on both sides, otherwise the equality relation is destroyed)
7 - 43k + 43k = k + 43k
7 = 44k
k = 7/44
If 10% of 170 is 17, then 90% of 170 is 153.
By calculating, If 10% of 170 is 17, then 90% of 170 is 153 is true.
What is Algebraic expression ?
Algebraic expressions are mathematical phrases that combine numbers, variables, and operations (like addition, subtraction, multiplication and division). They provide a way to represent and analyze mathematical relationships. Examples of algebraic expressions include "3x + 5" and "6y - 3x".
Given expression,
10% of 170
10/100 * 170
= 17
which is equals to RHS
Then,
90% of 170
= 90/ 100 * 170
= 9*17
= 153
which is also equals to RHS .
And the yes the given expressions are true.
Hence, If 10% of 170 is 17, then 90% of 170 is 153 is true.
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Answer This Question Please!!!!!
Answer:
Step-by-step explanation:
none of these the corrct answer is 5
as one step in the statistical analysis of the effectiveness of the chw intervention, researchers examined differences in postnatal care use for mothers in 10 different regions. how could the researchers have increased the power of their analysis?
The researchers have increased the power of their analysis by increasing the sample size.
The number of subjects involved in a sample size is referred to as the sample size in market research.
Examine 15 randomly selected groups of subjects.
There are five main ways to increase the power of an experiment or study: increase the alpha level, decrease random error, conduct a one-tailed test, expand the sample size, or increase the effect size. Of these, only the first option, which increases the sample size, will increase power.
Thus, the researchers have increased the power of their analysis by increasing the sample size.
Complete question: As one step in the statistical analysis of the effectiveness of CHW intervention, researchers calculated the average percentage of postnatal care use found in 10 randomly selected groups of 50 mothers. How could the researchers have increased the power of their analysis?
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Which graph represents y=-2x
Answer:
The graph looks like the image below.
Step-by-step explanation:
-2x means that every time x increases by 1, y increases by -2.
When y increases by -2, y decreases by 2.
Hence, as the x-value increases by 1, the y-value decreases by 2.
Also, the graph goes through the point (0, 0) since when x=0, y=0:
y=-2x ==> 0 = -2(0)
Keilantra has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $488.20.
She buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.
She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Keilantra can purchase while staying within her budget.
a) An inequality that can determine x the number of outfits Keiland can purchase while staying within her total budget of $660 is 529.59 + 37.26x ≤ 660.
b) The inequality solution shows that x cannot be more than 3.
What is inequality?An inequality is a mathematical statement that two or more mathematical expressions are unequal or not equivalent.
Inequalities are depicted as follows:
Greater than (>)Greater than or equal to (≥)Less than (<)Less than or equal to (≤)Not equal to (≠).These inequality symbols are usually written between two numbers or algebraic expressions.
The total spending budget Keilantra has = $660
The cost of a new bicycle = $488.20
The cost of 2 reflectors = $22.34 ($11.17 x 2)
The cost of a pair of bike gloves = $19.05
The total costs for the above three items = $529.59
The unit cost of new biking outfits = $37.26
The number of outfits Keilantra can purchase = x
Inequality:529.59 + 37.26x ≤ 660
37.26x ≤ 660 - 529.59
37.26x ≤ 130.41
x ≤ 3.5
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Consider the two equations below. Explain completely the similarities and differences in how you would solve each equation. Be clear and complete.
3^x=12 and x^3=12
The first equation, 3^x = 12, is an exponential equation. To solve for x, we would take the logarithm of both sides with base 3:
x = log3(12)
The second equation, x^3 = 12, is a polynomial equation of degree 3. To solve for x, we would take the cube root of both sides:
x = ∛12
How does the equation compare?The similarity between these two equations is that both are equations with one variable and are looking for the value of that variable.
The main difference between these two equations is the type of function they represent. The first equation is an exponential function, represented by 3^x, while the second equation is a polynomial function, represented by x^3.
As a result, the methods used to solve these equations are also different. The first equation is solved by taking the logarithm of both sides and the second equation is solved by taking the cube root of both sides.
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How much does 1 kg of butter cost at the rate shown in the picture? Butter: 454 kg & $3.39
Answer:
0.00746696035
Step-by-step explanation:
3.39/454 = 0.00746696035
Rounded that would only be 1 cent per kg. Hummmppp....
what is the price per pound for chicken and the price per pound of the fish the food stand purchased?
One pound of chicken will cost ${x/y} and one pound of fish will cost ${B/A}.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the price per pound for chicken and the price per pound of the fish.
Assume that the {y} pound of chicken costs ${x}. Now, we can write that -{y} pound of chicken costs ${x}
{1} pound of chicken will cost ${x/y}
Assume that the {A} pound of fish costs ${B}. Now, we can write -{A} pound of fish costs ${B}
{1} pound of fish will cost ${B/A}
Therefore, {1} pound of chicken will cost ${x/y} and {1} pound of fish will cost ${B/A}.
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Complete the following statement. Use the integers that are closest to the number in the
middle.
<-√14<
The completed statement using the integers that are closest to the number in the middle is 3<-√14<4
The statement: <-√14< can be interpreted as the set of all real numbers that are less than the square root of 14, which is approximately 3.74166.
The integers closest to this number are 3 and 4, so the set of integers that are closest to the number in the middle can be represented as:
(-∞, 3) U (4, ∞)
The statement says that the value of the square root of 14, when multiplied by -1 (the square root of a negative number), is between 3 and 4. The closest integers to the value of the square root of 14 are -3 and -4.
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please help me find the answer if u can thanks
Answer:
y = 4/3x - 1
Step-by-step explanation:
(3, 3) and (0, -1)
m = -1-3 / 0-3
m = -4/-3
m = 4/3
y = 4/3x + b
-1 = 4/3(0) + b
-1 = 0 + b
b = -1
y = 4/3x - 1
Find the perimeter of the shape, round to the nearest tenth.
(Will give brainliest for the quickest answer :))
Answer: The perimeter of the shape is approximately 18.0 feet.
Step-by-step explanation:
The shape you described is a triangle, with one side of 8 feet and two sides of 5 feet. To find the perimeter of a triangle, we add up all the side lengths:
Perimeter = 8' + 5' + 5'
Perimeter = 8' + 10'
Perimeter = 18'
Rounding to the nearest tenth:
18 feet is the same as 18.0 feet rounded to the nearest tenth.
So, the perimeter of the shape is approximately 18.0 feet.
Who proved the fundamental theorem of algebra any polynomial has a complex root?
The fundamental theorem of algebra any polynomial was first proved by Carl Friedrich Gauss in 1799.
In 1799, Carl Friedrich Gauss was a German mathematician who proved that any polynomial equation with complex coefficients has at least one root in the complex plane. This is known today as the Fundamental Theorem of Algebra. Gauss started by examining a particular polynomial equation and then used his knowledge of the properties of polynomial functions to prove that any polynomial equation with complex coefficients must have at least one complex root. His proof used a combination of calculus and algebraic manipulations to establish that the coefficients of a polynomial equation must satisfy certain conditions in order for the equation to have a complex root. Once these conditions are satisfied, he showed that the equation must have at least one complex root.
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One of the solutions to the equation 5x^2+bx+12=0 is -4/5. Find the other solution.
Answer:
b = 4+15
b =19
Step-by-step explanation:
5x^2 + bx + 12 = 0
the sum of its roots = –b/a
m + n = - b/a
-4/5 + n = -b/5
-4 + 5n = -b
5n= -b + 4 -------------1
product of its roots = c/a
m*n = c/a
-4/5 * n = 12/5
-4 n = 12
n = -3 is the other root -------------2
Plug-in equation 2 in 1
5(-3) = -b + 4
-15 = -b + 4
b = 4+15
b =19
One of the solutions to the equation 5x^2+bx+12=0 is -4/5.the other solution is 2.4 + (-4/5) = 2.
The other solution to the equation 5x^2+bx+12=0 can be found by using the fact that the solutions of a quadratic equation of the form ax^2+bx+c=0 are given by the formula: x = (-b ± √(b^2-4ac)) / 2a.
In this case, a=5, b=b and c=12. We know that the product of the roots is equal to c/a and sum of roots is equal to -b/a. so the product of the roots is 12/5 = 2.4and the sum of the roots is -b/5 .
since we know that one of the solutions is -4/5, we can find the other solution by using the above formulas: -4/5 = 2.4 - other solution so the other solution is 2.4 + (-4/5) = 2.
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to provide a comparison for evaluating the effects of a specific treatment, experimenters make use of a(n)
The evaluate the value of the expression a(n) is control condition.
Here we have given that to provide a comparison for evaluating the effects of a specific treatment, experimenters make use of a(n).
Here we know that when carrying out an experiment, then the control condition is set up to provide a baseline against which the result of the experiment can be compared.
Here we have to take the example that is when measuring the effects of a new medication, then the control group is usually set up and the members of the group are given a placebo.
Therefore this will not contain any of the active ingredients of the medicine and it acts as a way to evaluate the real effects of the medication.
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HELPPP
What number would make (24, 45, c ) a Pythagorean triple, where c represents the hypotenuse? Be sure to show your work.
Answer: 51
Step-by-step explanation: 24^2+45^2=C
24*24=576
45*45=2025
576+2025=2601
Square root of 2601 is 51
Whether the function is even or odd
The given graph is not symmetric with respect to the y-axis. Hence, this is not even function.
What is Function?
A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.
An example of a rule is a function, which produces one output for a single input.
If the graph of a function is symmetric with respect to the y-axis, then it is said to be an even function. Otherwise, it is odd function.
The given graph is not symmetric with respect to the y-axis. Hence, this is not even function.
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what is 8y-5 is less than 3
Answer:
[tex]y < 1[/tex]
Step-by-step explanation:
[tex]8y - 5 < 3 \\ 8y < 8 \\ y < 1[/tex]
