Answer: 10
Hope this helps :)
Step-by-step explanation:
29b = 290
/29 /29
b = 10
Answer:
b = 10
Step-by-step explanation:
29b = 290
----- ------
29 29
b = 10
Is the solution set the answer?.
Any value of a variable that makes the equation true is a solution. The set of all variables that makes the equation true is called a solution set. Because 2(4) + 6 = 14, the solution set for 2y + 6 = 14 is 4.
How do I locate the set of solutions?Plugging each value in the domain into the equation to obtain the range values is the first step in determining the solution set for an equation with a given domain. Write these values as a set and create ordered pairs from them. Your response is that set!
Is the math answer the solution?An assignment of values to the unknown variables that achieves equality in the equation is called a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used in place of the unknowns, makes the equation equal.
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Full Question = How do you find the solution set of an equation?
ABCD is a cyclic quadilateral in whicj side Ad and BC are produced to meet at E such that AE = BE .Prove that AB// DC
Answer: To prove that AB is parallel to DC, we can use the following steps:
Draw a diagram of the cyclic quadrilateral ABCD with the point E where sides AD and BC are produced to meet.
Since ABCD is a cyclic quadrilateral, all its interior angles add up to 360 degrees. Therefore, angle A + angle B + angle C + angle D = 360 degrees.
Since AE = BE, we can say that angles A and B are equal (by corresponding angles). Similarly, angles C and D are also equal.
Since angles A and B are equal and angles C and D are also equal, we can say that angle A + angle B = angle C + angle D.
Substituting this into our equation from step 2, we get: angle A + angle B + angle C + angle D = angle A + angle B + angle A + angle B.
Simplifying, we get: 360 = 2(angle A + angle B). This means that angle A + angle B = 180.
Since angle A + angle B = 180, we can say that angle A = angle B and angle C = angle D.
Now we can use the fact that corresponding angles are equal, then angle A = angle C and angle B = angle D.
We know that opposite angles of a parallelogram are equal, so we have proved that AB is parallel to DC.
It's important to note that this proof uses the fact that quadrilateral ABCD is cyclic, which means that the sum of its angles is equal to 360 degrees. It also uses the fact that opposite angles are equal in a parallelogram, and corresponding angles are equal when two lines are parallel.
Step-by-step explanation:
What is the modulus of the complex number 4 +3i?.
The modulus of the complex number is:
|z| = 5
Now, According to the question:
Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).
The modulus of complex number z=a+bi is:
[tex]|z| = \sqrt{(a+bi)(a-bi)}[/tex]
[tex]|z| = \sqrt{a^2+b^2}[/tex]
The given complex number is :
4 + 3i.
a = 4 and b = 3
The modulus of the complex number will be:
[tex]|z|=\sqrt{4^2+3^2}[/tex]
[tex]|z|=\sqrt{16+9}\\\\|z|=\sqrt{25}[/tex]
|z| = 5
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An ad for an exercise product stated: "using this product will burn 74% more calories." What is misleading about this statement
Answer:
The statement is misleading as it does not provide any context for the comparison. It does not clarify what the 74% more calories is being compared to or what amount of calories is being burned by using the product. Additionally, the advertisement does not provide any evidence to back up the claim.
The area of the quare felid i 40,000 quared and we want to but a fence diagonally through the field. What hould the length of the fence be?
The length of the fence must be 282.84 ft.
Area of the field = 40,000 ft²,
The length of the fence will be equal to the diagonal of the square.
For a square of side length S, the area is:
A = S²
Substituting the values in the formula -
S² = 40,000 ft
Applying the square root on both sides -
S = √(40,000 ft²)
Calculating, the diagonal of a square of side length S is:
D = S x√2,
Substituting the values -
D = √(40,000 ft²) x √2
= √(80,000 ft²)
= 282.84 ft
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The owner of a bookstore buys used books from customers for $1.50 each.The owner then resells the used books for 400% of the amount he paid for them.What is the price of a used book in this bookstore?
The selling price of a used book at the store where the owner buys a used book for $1.50 and resells the used book at a price of 400% the price at which buys the used book is $6.00
What is the selling price of a commodity?The selling price of an item is the price which is displayed on the item on the shelves of a store. The selling price is often different from the price at which the item is bought, or produced, which is often lesser than the price at which the item is sold.
The amount at which the owner buys each used book = $1.50
The amount at which the owner of the used book store sells the books = 400% of the amount he paid for the books
400% of an amount x is equivalent to four times the amount. (4 × x)
The price at which the owner sells a used book at his store, P, is therefore;
P = 400% × $1.50 = 400/100 × $1.50 = $6.00
The price of a used book at the store is $6.0
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3/5 divied by what is 3/4
[tex]\it \dfrac{3}{5}:x=\dfrac{3}{4} \Rightarrow x=\dfrac{3}{5}:\dfrac{3}{4}=\dfrac{\not3}{5}\cdot\dfrac{4}{\not3}=\dfrac{4}{5}[/tex]
[tex]\it So,\ \ \dfrac{3}{5}\ divided\ by\ \dfrac{4}{5}\ is\ \dfrac{3}{4}[/tex]
Anyone know this? Struggling highschool student here
The monthly payment for a 15-year term mortgage with a 15% down payment on a $315,200.00 purchase price for a household with a 711 credit score is $2,408.60.
Calculate the monthly payment?The monthly payment for a 15-year term mortgage with a 15% down payment on a $315,200.00 purchase price for a household with a 711 credit score is $2,408.60.To calculate this, first you must review the Monthly Principal & Interest Factor chart.Since the credit score is 711, this falls into the range of 710-729. For a 15-year term, the interest factor is 7.0.Once you have determined the interest factor, you can then calculate the monthly payment.To do this, you must subtract the 15% down payment of $47,280.00 from the purchase price of $315,200.00, which leaves $267,920.00.Then, you must multiply the $267,920.00 by the interest factor of 7.0 and divide it by 12 to get the monthly payment of $2,408.60.To learn more about The monthly payment refer to:
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What is the main difference between polynomial and equation?.
A polynomial is described as a set of mathematical phrases with numerical coefficients, variables, and operations between them. The variables' degree must be a non-negative integer (addition, subtraction, multiplication and division).
A polynomial example could be-
[tex]\mathrm{p}(\mathrm{x})=2 x^{3-3(x+y)+7 / 5}[/tex]
A mathematical notion known as an equation is one in which two quantities are equal and are indicated by the symbol "=" in between.
An illustration of an equation is
[tex]3 x-5 y=(7 x+9) / 5[/tex]
In contrast to polynomials, equations have no limits on the coefficients or the powers of the variables.
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A polynomial is described as a set of mathematical phrases with numerical coefficients, variables, and operations between them.
The variables' degree must be a non-negative integer (addition, subtraction, multiplication and division).
A polynomial example could be-
p(x) =³
A mathematical notion known as an equation is one in which two quantities are equal and are indicated by the symbol "=" in between.
An illustration of an equation is
In contrast to polynomials, equations have no limits on the coefficients or the powers of the variables.
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What is the range of this radical function f(x) =4squareroot x-6
Answer: Unless there is a vertical shift the range for ALL radical functions will remain [0,infinity)
Step-by-step explanation:
The floor of the cargo space in max truck is in the shape of a rectangle. If the floor of the cargo space of the truck is 4' x 8', what is the maximum area of a cargo space in Mac truck
The maximum area of the cargo space in a Mac truck is 32 sq ft.
What is Area of Rectangle?
The area of a rectangle can be calculated by multiplying its length and width.
[tex]Area \ of\ Rectangle = length * breadth[/tex]
The maximum area of the cargo space in a Mac truck can be calculated by finding the area of a rectangle. To find the area of a rectangle, you multiply the length by the width.
In this case, the length of the floor of the cargo space is 4' and the width is 8', so:
Area = 4' x 8' = 32 sq ft
So, the maximum area of the cargo space in a Mac truck is 32 sq ft.
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What number would you multiply the second equation by in order to eliminate the x term when adding to the first equation?.
In order for the variables in the first equation to cancel out, we must multiply a number in the second equation to make it equal to those variables. For instance, we must multiply the second equation by two in order to make it equal four in order to cancel out x.
To make the variables in the first equation cancel each other out, we must multiply a number in the second equation to make it equal to those variables. For instance, we must multiply the second equation by two in order to make it equal four in order to cancel out x. We must now multiply the second equation by 3 in order to equal 9y in order to eliminate y.To learn more about equations here
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1. Solve this system by substitution.
(y = 3x + 27
y = 4x + 18
2. Solve this system by elimination
(-2x - 4y = -4
2x - 5y = 40
4. Solve this system by substitution
-6x + y = 18
-3x+6y= -24
5. Solve this system by elimination
9x + 21y = 15
-10x + 21y = -61
Answer:
1. x = 9
2. (10, -4)
4. (-4, -6)
5. (4, -1)
Step-by-step explanation:
1. Since we know that y = 3x + 27, we can substitute that into y = 4x + 18.
3x + 27 = 4x + 18
9 = x
x = 9
Continue the processes of setting both equations of a system to a specific value, and then substituting it into the other equation.
A game includes spinning a spinner with numbers 1–5 and rolling a number cube with numbers 1–6.
What is the probability of spinning an even number and rolling a 5?
The values of the probability from spinning the spinner and rolling the cube are;
Probability that the spinner lands on an even number = 2/5Probability of rolling a 5 on the number cube = 1/6Pthe joint probability of the spinner landing on an even number and rolling a 5 = 1/15What is the probalibilty of an evdent?Probability is a measure of the liklihood that an event will occur. The probability of an event = Number of times the event occurs ÷ Sum of the frequencies of all possible events.
Numbers on the spinner are; 1, 2, 3, 4, and 5
Numbers in the number cube = 1, 2, 3, 4, 5, and 6
The probability of an event = The number of required outcomes ÷ The number of possible outcomes
The possible even numbers on the spinner = 2, and 4
The number of even numbers in the spinner = 2
The number of possible numbers on the spinner = 5
The ratio of the number of even numbers to the number of possible numbers, which is the probability of spinning an even number, therefore is; P(E) = 2/5
The number of 5s on the cube = 1
The number of possible numbers on the cube = 6
The probability of rolling a 5 on the number cube is therefore, p(5) = 1/6
The probability of landing on an even number and rolling a 5, P(E) × P(5) is therefore;
P(E) × P(5) = (2/5) × (1/6) = 2/30 = 1/15Learn more about probability here: https://brainly.com/question/51579
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Answer:
Probability of spinner landing on an even number-2,5
Probability of rolling a 5
on number cube-1,6
Probability of spinner landing on an even number and rolling a 5-1,15
Step-by-step explanation:
bc
Write a poitive or negative integer that repreent the ituation. You walk up 83 tair
83 is a positive integer that represents the situation.
An integer is a whole number, meaning it does not include any fractional or decimal component. It can be positive, negative, or zero. Integers are numbers that can be written without a fractional or decimal component.
The number of stairs walked up is a positive value, because it is a quantity that increases, and in mathematics, positive numbers represent an increase in value. In this case, walking up 83 stairs is an increase in elevation, and so it is represented by a positive number.
Therefore, the situation can be written as a positive integer which is 83.
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How many solutions does the pair of linear equations y 0 and y =- 7 have?.
The pair of linear equations y = 0 and y = -7 have no solution.
Given the pair of equations is
y = 0
y = -7
We have to find a solution.
Here, b₁ = 1, c₁ = 0
b₂ = 1, c₂ = -7
So, b₁/b₂ = 1/1 = 1
c₁/c₂ = 0/-7 = 0
So, b₁/b₂ ≠ c₁/c₂
We know that,
Let's assume a pair of linear equations in two variables be a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0,
If a₁/a₂ = b₁/b₂ ≠ c₁/c₂, then
i) the given pair of linear equations is inconsistent
ii) the graph will be a pair of parallel lines, so the pair of equations will have no solution.
Therefore, the pair of equations has no solution.
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A comedy club earns $1088 from an opening night performance and $1183 from a second performance
The solution is $95.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
A comedy club earns $1088 from an opening night performance
and $1183 from a second performance
so, earns more =$(1183-1088)
=$95
Hence, the solution is $95.
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What is the formula for the nth partial sum of the series?.
The formula for the nth partial sum of the series is Sn=a1(1−rn)1−r.
The initial term a1 and the common ratio r can be used to determine the nth partial sum of a geometric sequence is given by Sn equals to a1(1−rn)1−r, where a1 denotes the first term in the partial sum and a the nth (final) term.
One of a number of sums of items in a particular sequence, starting with the first sum, which is the first element, going on to the second sum, which is the first element plus the second element, and so forth. This is the concept of partial sum.
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What is the area of a triangle whose height is 6 cm and base is 10 cm?.
The area of a triangle whose height is 6 cm and the base is 10 cm is 30 cm².
Area of triangle = 1/2 × b × h
= 1/2 × 10 × 6
= 1/2 × 60
= 30 cm².
A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.
In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.
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So if a cashier only has $10 and one bills what are two ways, he could make Mr. Rosso change
Answer:
2 5$ bills
1 10$ bill
5 2$ bills
Step-by-step explanation:
K is the midpoint of GJ and H is the midpoint of GI
If IJ =z-4 and HK = z - 37, what is the value of z?
The value of z from the triangle is z = 70
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔIGJ
Let the second triangle be represented as ΔHGK
Now , K is the midpoint of GJ and H is the midpoint of GI
So , IH = GH and GK = KJ
And , the triangles ΔIGJ and ΔHGK are similar
So , corresponding sides of similar triangles are in the same ratio
Substituting the values in the equation , we get
The measure of HK = ( 1/2 ) measure of side IJ
And , ( z - 37 ) = ( 1/2 ) x ( z - 4 )
On simplifying the equation , we get
Multiply by 2 on both sides of the equation , we get
2z - 74 = z - 4
Subtracting z on both sides of the equation , we get
z - 74 = -4
Adding 74 on both sides of the equation , we get
z = 70
Hence , the value of z is 70
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Yall could help a scholar out real quick? xx
Answer: 1 apple = 3 bananas
Step-by-step explanation:
10 bananas = 2 pineapples
which means
5 bananas = 1 pineapple eq_i
1 pineapple = 2 bananas + 1 apple eq_ii
Using eq_i and eq_ii, we conclude
1 apple = 3 bananas ... answer
hope that helps...
The drama club is selling tickets to their play to raise money for the
show's expenses. Each student ticket sells for $5.50 and each adult
ticket sells for $9.50. There was a total of $703 in revenue from the
sale of 98 total tickets. Write a system of equations that could be used
to determine the number of student tickets sold and the number of
adult tickets sold. Define the variables that you use to write the system.
Let the number of student tickets be [tex]s[/tex] and the number of adult tickets be [tex]a[/tex].
[tex]\begin{cases} 5.50s+9.50a=703 \\ s+a=98 \end{cases}[/tex]
An experiment calls for each student to use 3.50 g of sodium hydroxide. There is only
78.2 g of sodium hydroxide remaining. How many students can complete the experiment?
Answer:
22 students
Step-by-step explanation:
What is the largest integer value that makes this inequality true?
4x-8<-2x+1
Answer:
Step-by-step explanation:
the answer would be 10
Five cups of flour are divided equally into 4 bowls. How much flour is in each bowl?
Answer: D, 1 1/4 cups of flour and 5/4.
Step-by-step explanation:
There are four bowls, so subtract four from 5, and you have 1. Divide the remaining 1 by 4, and you have 1/4. So, 1 1/4 cups per bowl. A simpler way would be to divide 5 by 4, as you would end up with 1.25, which equals 1 1/4.
Answer: 5/4 cups of flower
5 ÷ 4= 1.25
1.25 in fraction form is 5/4, so the answer would be a.
Please Help. The picture of the question is below. My teacher is going to fail me if I do not get this question so please make it snappy.
The roots of a function are the points at which the graph of the function crosses the x-axis.
What are the roots of the function?The definite solutions to the equation are x = -2 and x = 1.The equation for the function whose graph is shown is y = (x+2)(x-1).The roots of the function are x = -2 and x = 1.The definite solutions to the equation are x = -1 and x = 3.The equation for the function whose graph is shown is y = (x + 1)^2 - 4.The roots of the function are x = -1 and x = 3.These are the x-coordinates of the points where the graph crosses the x-axis.They are also the solutions to the equation y = 0.The roots are also known as the zeros of the function. In other words, the roots of a function are the values of x that make the function equal to zero.For example, the equation x^2 + 3x + 2 = 0 has roots at x = -1 and x = -2. This means that when x is equal to -1 or -2, the equation's left-hand side (x2 + 3x + 2) is equal to zero.To learn more about the roots of the function refer to:
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write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial
24ab-16a^2-9b^2
Answer: The given trinomial, 24ab-16a^2-9b^2, can be written as an expression opposite to a square of a binomial.
To do this, we first factor out the greatest common factor of -4a, which gives us:
-4a(6b-4a-9b^2)
We can then factor -9b^2 as -(3b)^2, and group the remaining terms together:
-4a((3b-2a)^2-4a^2)
So the trinomial can be written as -4a( (3b-2a)^2 - 4a^2 ) which is an expression opposite to a square of a binomial (3b-2a)^2.
Step-by-step explanation:
At Jaylen’s school, students must choose a language, an elective, and a science class. Their options are listed in the table.
Course Offerings
Language
Elective
Science
Chinese
Art
Astronomy
French
Band
Biology
German
Choir
Chemistry
Spanish
Computers
Physics
How many different combinations are possible?
There are twelve possible combinations:
Chinese Art AstronomyChinese Band BiologyChinese Choir ChemistryChinese Computers PhysicsFrench Art AstronomyFrench Band BiologyFrench Choir ChemistryFrench Computers PhysicsGerman Art AstronomyGerman Band BiologyGerman Choir ChemistryGerman Computers PhysicsAt Jaylen's school, students have a variety of course offerings from which to choose. They must choose a language, an elective, and a science class. The language options are Chinese, French, German, and Spanish.
With these four language options, four elective options, and four science options, there are twelve possible combinations of courses to choose from.
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Find the area of a
rectangle with a
diagonal of 11
units and length of
8 units.
The area of something like a rectangle with a length of 8 units and a diagonal of 11 units is 60.396.
What is a diagonal and give an example?A diagonal in mathematics is a line that joins two vertices of a solid or polygon whose vertices seem to be not on the same edge. Generally general, a diagonal is a sloping or slanting line that joins the vertices of a form. Diagonals are lateral shapes with sides, edges, and corners.
According to the given information:Length = 8
Diagonal = 11
A=w l
D = √(w² + l²)
Area = l√(d²- l²)
= 8.√(11² - 8²)
=60.396
the area of a rectangle with a diagonal of 11 units and length of 8 units = 60.396
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