Mai uses 10 ounces of cheese to make 4 pizzas, so she uses 10/4 = <<10/4=2.5>>2.5 ounces of cheese per pizza.
To make 15 pizzas, she will need 152.5 = <<152.5=37.5>>37.5 ounces of cheese.
Is Avogadro's number the same for all elements?
The Avogadro's number of every element remains is the same. The number of atoms of 1 mole in every element is Avogadro's number. One mole of an element is 6.02214076×10²³ atoms.
What is an atom?
Each atom is made up of a nucleus and one or more electrons that are linked to it. One or more protons and a significant number of neutrons make up the nucleus. Only the most prevalent type of hydrogen is neutron-free. Atoms that are neutral or ionized make up every solid, liquid, gas, and form of plasma.
The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of 6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.
The number of atoms of one mole substance is 6.02214076 × 10²³ which is Avogadro's number.
To learn more about Avogadro's number, click on the below link:
https://brainly.com/question/20970268
#SPJ4
How do you write log in e form?
Log to exponential form is very useful to easily perform complicated numeric calculations. The logarithmic form
loga N=x
can be easily transformed into the exponential form as:
ax=N
Normally, large astronomical and scientific calculations are written in exponential form, and here we can use the log to exponential form of transformation.
Logarithms are occasionally transformed using antilog tables to normal form, rather than transforming into exponential form.
Log to exponential form required specific formulas of logarithms and exponents. Logarithms help in easily transforming the multiplication and division across numbers into addition and subtraction.
And exponentials help in working across numbers with different bases and different powers.
To know more about Log form:
https://brainly.com/question/857062
#SPJ4
Find three consecutive numbers such that the sum of twice the first, three times the second and four times the third togetherbmakes 191.
Answer:
find 3 consecutive numbers such that twice the first , 3 times the second and 4 times the third together make 191 ?
Let n-1,n and n+1 be three consecutive numbers.
Given
2(n-1)+3n+4(n+1)=191
2n-2+3n+4n+4=191
9n+2=191
9n = 189
n = 21
So, n-1=20 and n+1=22
So the answer is 20,21,22
[tex] \huge \bold{\color{red}{ANSWER}}[/tex]
[tex]\pmb { \orange{Given }:} \sf{ Three \: Consecutive \: numbers}[/tex]
[tex]\pmb{\orange{To find}: } \sf{Least \: of \: the \: numbers}[/tex]
[tex]\pmb{\orange{Solution}: }[/tex]
[tex]\sf{Let \: the \: three \: consecutive \: numbers \: be }[/tex]
[tex] \sf\red x, \red {x+1}, \red{x+2}[/tex]
[tex]\sf{Twice \: the \: number = 2\red x}[/tex]
[tex]\sf{3 \: times \: the \: Second \: number = 3(\red{ x+1})}[/tex]
[tex]\sf{4 \: times \: the \: third \: number= 4(\red {x+2})}[/tex]
☆ according to question
[tex] \pmb{2\red x + 3(\red{x+1})+4(\red{x+2})= 191}[/tex]
[tex] \pmb{2\red{x} + 3\red{x}+3+4\red{x}+8= 191}[/tex]
[tex] \pmb{9\red{x}=191-11 = 180}[/tex]
[tex] \pmb{\red{x}=20}[/tex]
[tex] \sf{∴the \: three \: Consecutive \: numbers \: are} [/tex]
[tex] \pmb{\pink{20}, \pink{21}, \pink{22}}[/tex]
_________________......
[tex] \purple{ \pmb{LearningLifeII}}[/tex]
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a Question 18 options: A) kite. B) trapezoid. C) hexagon. D) parallelogram.
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Option (d) is the correct choice.
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
A parallelogram has the following qualities:
The opposing sides are equally spaced and parallel.
Angles on either side are equal.
The following or neighboring angles are supplemental.
All of the angles will be at right angles if any one of them is a right angle.
The two diagonals cut across one another.
For more questions on Parallelogram
https://brainly.com/question/3050890
#SPJ4
please awnser the question below
The slope-intercept forms for the graphs 5, 6, 7, and 8 are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, and y = 25x respectively.
What is slope-intercept form?
The line with m as the slope, m and b as the y-intercept is the graph of the linear equation y = mx + b. The values of m and b are real integers in the slope-intercept form of the linear equation.
First, find out the y-intercept(s).
The y-intercepts are the starting point of the lines in the graph.
For graph number 5, the starting point is 6.
For graph number 6, the starting point is 150.
For graph number 7, the starting point is 20.
For graph number 8, the starting point is 0.
Now find the slopes.
For graph number 5, the line goes down 1 unit and moves to the right 2 units, so the slope would be -1/2 (rise/run).
For graph number 6, the line goes up 100 units and moves to the right 2 units, so the slope would be 100/2 (rise/run) or 50.
For graph number 7, the line goes up 10 units and moves to the right 3 units, so the slope would be 10/3 (rise/run).
For graph number 8, the line goes up 25 units and moves to the right 1 unit, so the slope would be 25/1 (rise/run) or 25.
Then plug into the slope-intercept form : y = mx + b.
Where, m is slope and b is the y-intercept.
Graph 5: y = (-1/2)x + 6.
Graph 6: y = 50x + 150.
Graph 7: y = (10/3)x + 20.
Graph 8: y = 25x + 0 or y = 25x
Therefore, the equations are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, y = 25x.
To learn more about slope-intercept form from the given link
https://brainly.com/question/19440459
#SPJ1
Four students are in the final rounds of a chess tournament. Based on their chess rankings, Gloria is twice as likely as Devon to win. Devon is twice as likely as Janet to win. Janet is just as likely as Harry to win. Create a table of fractional probabilities of winning for the four-person sample space.
need pointz
Step-by-step explanation:
Given that $13^{-1} \equiv 29 \pmod{47}$, find $34^{-1} \pmod{47}$, as a residue modulo 47. (Give a number between 0 and 46, inclusive.)
The value would be [tex]34^{-1} \pmod{47}=30[/tex]
What is the modulus in mathematics?
In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.
Given that 13^-1 ≡ 29 (mod 47), we can use this information to find the inverse of 34 mod 47. The inverse of a number modulo m is a number x such that the product of the number and its inverse is congruent to 1 mod m.
In the case of the given equation, [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex] is saying that 29*13 = 377 is congruent to 1 mod 47.
We can use this congruence to find the inverse of 34 mod 47. The inverse of 34 mod 47 is the number x such that 34*x = 1 mod 47. So we can write this congruence as [tex]$34x \equiv 1 \pmod{47}$[/tex]
We can use the given congruence of 13^-1 ≡ 29 (mod 47) to find the inverse of 34 mod 47.
Since [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex], we can multiply both sides of the congruence by 34 as:
[tex]$13^{-1} * 34 \equiv 29 * 34 \pmod{47}$[/tex]
Now we can substitute the right side of the equation:
[tex]$13^{-1} * 34 \equiv (13*29) \pmod{47}$[/tex]
And now we can substitute the left side of the equation:
[tex]$34^{-1} \equiv (13*29) \pmod{47}$[/tex]
And since [tex]$13*29 = 377$[/tex] this is congruent to 30 (mod 47) the inverse of 34 mod 47 is 30.
Therefore, the value would be [tex]34^{-1} \pmod{47}=30[/tex]
To learn more about the modulus in mathematics, visit:
https://brainly.com/question/13043937
#SPJ4
The value would be 13.
What is the modulus in mathematics?
In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.
We can use the property of modular inverse that
[tex]$(ab)^{-1} \equiv b^{-1}a^{-1} \pmod{m}$[/tex]
So, [tex]$(13*34)^{-1} \equiv 34^{-1} \cdot 13^{-1} \pmod{47}$[/tex]
[tex]$13^{-1} \equiv 29 \pmod{47}$\\$(13*34)^{-1} \equiv 34^{-1} \cdot 29 \pmod{47}$So, $34^{-1} \equiv (13*34)^{-1} \cdot 13 \pmod{47}$$34^{-1} \equiv 1 \cdot 13 \pmod{47}$$34^{-1} \equiv 13 \pmod{47}$[/tex]
Hence, The value would be 13.
To learn more about the modulus in mathematics, visit:
brainly.com/question/13043937
#SPJ4
The sum of the measures of the interior angles of a polygon is 5 times the sum of the measures of the exterior angles. How many sides does the polygon have
Answer:
polygon has 12 sides
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
the sum of the interior angles of a polygon is
sum = 180° (n - 2 ) ← n is the number of sides
given the sum of the interior angles is 5 times sum of exterior angles, then
sum = 5 × 360° = 1800° then
180° (n - 2) = 1800 ( divide both sides by 180 )
n - 2 = 10 ( add 2 to both sides )
n = 12
Thus the polygon has 12 sides
Sal brought 2 dozen apples to a science club meeting. He divided the apples equally among the 8 people there. How many apples did he give each person?
Division is the antithesis of multiplication. When you divide twelve into three equal groups, you get four in each group when you multiply three groups of four to create twelve.
How do you explain division?The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.
The phrase to use is "divide in half," not "divide by half," when discussing splitting something into two equal portions. In mathematics, multiplying by two is equivalent to dividing by half. Additionally, see "multiply by two."
The French term "douzaine," which denotes a group of 12, is where the word "dozen" originates.
2 dozen apples equals 24, and 24 divided by 8 is 3.
Therefore, the answer is 3.
To learn more about division refer to:
https://brainly.com/question/25289437
#SPJ1
Dr. And Mrs. Tutt are married, lives in Burleson and file a joint return. The Tutts cannot
be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19
years old, single and a full-time student away at college. Lavender earned $4,500
during the year, but her parents provided more than half of her support. Which of the
following statements is true?
The real earning of her could be less than $2250 during the year where their parents supported more than half.
What is linear equation ?
linear equation can be defined as the equation in which the highest degree of the exponent is one.
Given
The Tutts cannot be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19years old,
single and a full-time student away at college.
Lavender earned $4,500 during the year
The real earning of Lavender could be
as her parents supported more than half.
so,
her real earning could be less than $2250
Hence , the real earning of her could be less than $2250 .
To learn more about Linear Equation from the given link.
https://brainly.com/question/29739212
#SPJ4
Translate each sentence into an equation!!!
1)Seven more than six times a number is 17.
2)Four less than five times a number is 11.
3)Six times the quantity, x-2, is 24.
4)Three less than six times a number is five more than twice the number.
5)Two more than the product of -3 and a number is 11.
Answers:
1. 6x + 7 = 17
2. 5x - 4 = 11
3. 6(x - 2) = 24
4. 6x - 3 = 2x + 5
5. (-3x) + 2 = 11
Step-by-step explanation:
Since your only translating the sentence and not actually solving, we don't need to determine a specific number. So in that case, whenever the question says "a number," use a variable such as x.
1. Seven more would mean +7, so your adding 7 to x. X is multiplied by 6, so your answer is 6x + 7 = 17.
2. X is being multiplied by 5, and 4 less means -4 so you get 5x - 4 = 11
3. X-2 is being multiplied by 6, so indicate that in parenthesis. You should then get 6(x - 2) = 24
4. This one is a little different, since it doesn't equal a direct number. X is being multiplied by 6, and 3 is getting subtracted from it so the first part is 6x - 3 and it equals X multiplied by 2 plus 5. Put it all together and you get 6x - 3 = 2x + 5
5. The word product means multiplication so you know that -3 is being multiplied with X. Again, indicate this in parenthesis. You should get (-3x) + 2 = 11
I hope this helps you! Have a good day/night! :)
What is BPT Theoram please solve
In a triangle, a line is drawn parallel to one side of the triangle. Then it ratio of the two similar triangles will be con
What is the Basic Proportionality theorem?The Basic Proportionality Theorem, often known as the Thales Theorem, was developed by the eminent Greek mathematician Thales. He asserted that the ratio of any two matching sides is constant for any two equiangular triangles. He developed the basic proportionality theorem based on this idea (BPT). Similar triangles have presented this idea. When two triangles resemble one another.
Think about the triangle ΔABC in the given illustration. A line PQ connecting the sides AB and AC of P and Q in this triangle is drawn parallel to the side BC of the triangle.
AP/PB = AQ/QC
More about the Basic Proportionality theorem link is given below.
https://brainly.com/question/11807262
#SPJ1
Use properties of operations to complete the equivalent expressions. 3(c−4)=___c−___ 3(c−4)
Using properties of operations, the expression is 3(c-4)= 3c-12.
What are the properties of operations?
Properties of additionAddition of whole numbers is both associative and commutative.The identity for adding whole numbers is 0, or zero.Properties of MultiplicationThe identity for multiplying whole numbers is 1.Multiplication of whole numbers is both associative and commutative.Distribution favours multiplication over addition.Properties of Division and subtractionDivision is not associative.Subtraction is not commutative.Now, we are given the expression 3(c-4)
Using the properties of operation,
3(c-4)= (3*c)-(3*4)
= 3c-12
Hence, the equivalent expressions are 3(c-4)=3c-12.
Learn more about properties of operation visit:
brainly.com/question/9465287
#SPJ4
Question- Use properties of operations to complete the equivalent expressions. 3(c−4)=___c−___
how many even numbers of 3 digits can be formed of the digits 1,2,3,4,5,6 when repitition of digits is allowed
Answer:
To find the number of three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed, we can use the formula for permutations:
Step-by-step explanation:
Number of permutations = (number of choices for the first digit) x (number of choices for the second digit) x (number of choices for the third digit)
In this case, we have 6 choices for each digit, since we are allowed to repeat the digits. Using the formula, we get:
Number of permutations = 6 x 6 x 6 = 216
Therefore, there are a total of 216 three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed.
However, not all of these will be even. For a number to be even, the last digit must be even, so the last digit can only be 2, 4, or 6. This means that there are 3 choices for the last digit.
Therefore, the total number of even 3-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 is 366=108.
To learn more about "How many 3 digits numbers can be form with digit 1,2,3,4,5,6"
https://brainly.com/question/5210296
https://brainly.com/question/12550273
Find the range, mean, median and mode for the scores. Round to the nearest tenth when necessary.a.40; 75.5; 75; 75c.40; 74.5; 75; 100b.35; 75.5; 75; 75d.40; 74.5; 75; 75
x:(x+3) = 2:3
work out the value of x
Answer:
x = 6
Step-by-step explanation:
x:(x + 3) = 2:3
[tex] \frac{ \\ x}{x + 3} = \frac{2}{3} [/tex]
cross multiply
3x = 2(x + 3)
3x = 2x + 6
subtract (2x) from both sides
3x – 2x = 2x – 2x + 6
x = +6
x = 6
What is the degree of the polynomial of 5x²y 8xy² 9?
The polynomial is a mathematical expression containing variables and coefficients and can be written as a sum of terms of various degrees. In this case, the polynomial is composed of three terms of varying degrees: 5x²y, 8xy² and 9. The degree of this polynomial is the highest degree of the terms, which is 4.
1. Identify the terms of the polynomial: 5x²y, 8xy² and 9
2. Identify the degree of each term: 5x²y has degree 3, 8xy² has degree 4 and 9 has degree 0
3. Determine the highest degree among the terms: The highest degree is 4
4. The degree of the polynomial is then the highest degree among the terms, which is 4.
A polynomial is a mathematical expression consisting of variables and coefficients and can be written as a sum of terms of varying degrees. In this case, the polynomial consists of three terms: 5x²y, 8xy² and 9. To determine the degree of the polynomial, we must first identify the degree of each term. The term 5x²y has degree 3, the term 8xy² has degree 4 and the term 9 has degree 0. The degree of the polynomial is then the highest degree among the terms, which is 4. This means that the polynomial has a degree of 4, as the highest degree among its terms is 4. The degree of a polynomial is an important factor in solving equations and other mathematical problems, as it can determine the complexity of the equation.
Learn more about polynomial here
https://brainly.com/question/11536910
#SPJ4
What is the slope of the line that contains the points (-3, -7/2) and (2, -4)
Answer: m = -1/10
Step-by-step explanation:
Use the slope formula to find the slope m.
m = −1/10
15 points...................................
Answer: D
Step-by-step explanation:
The statement says that the angles GIH and QRS must be the same measurement. To show that on diagrams, we use markings : if angles have the same markings, then it means they have the same measurement.
That way, we just need to see which diagram has the right measurements.
First, the angles GIH and QRS are the angles we see named by the letter in the center : then GIH and QRS.
So it must be the angles with letters of I and R that have the same markings.
A : doesn't work for I and R
B : doesn't work for I and R
C : doesn't work for I and R
D : works for I and R
it should be the D, of course if I didn't see well don't hesitate to make sure it's correct with what I said before :)
Answer:
the answer would be D
Step-by-step explanation:
the answer is D because of the person above me
Select the correct answer from each drop-down menu. A picture frame with an area of 60 square inches has a width, w, and a height that is 4 inches greater than the width. Write an equation to represent the area, and solve to find the width. Equation: Of the two solutions, only a width of inches makes sense in the context of the problem. Reset Next
The width of the picture frame with the given area would be = 3.9in
What is a frame?A frame is a structure that can be a rectangle or a square shape which is used to display a picture.
The area of the frame = 60in²
The width of the frame = x
The height of the frame = 4x
The area of a rectangle = length×width
That is ; 60 = X × 4x
60 = 4x²
make X the subject of formula;
X = √60/4
X = √15
X = 3.9 in.
Learn more about square here:
https://brainly.com/question/27307830
#SPJ1
3 tenths and 24 hundredths, after regrouping, there are
3 tenths and 24 hundredths, after regrouping gives 0.54
What does Regroup Mean?In math, regrouping can be defined as the process of making groups of tens when carrying out operations like addition and subtraction with two-digit numbers or larger. To regroup means to rearrange groups in place value to carry out an operation. We use regrouping in subtraction, when digits in the minuend are smaller than the digits in the same place in the subtrahend.
Given here, 3 tenths and 24 hundredths after regrouping we get
(3 tenths + 24 hundreths) = 0.54
Hence, 3 tenths and 24 hundredths after regrouping gives 0.54
Learn more about regrouping in decimals here:
https://brainly.com/question/11903168
#SPJ1
Given: 3ab = 7ad and 3ac = 7ae prove: δabc ~ δade triangles a b c and a e d are connected at point a. complete the steps of the proof. ♣: ♦:
The given problem has been proved below using the rules of Congruence.
The given problem can be solved easily if we apply the basic rules of Congruence on the question properly as they are required. Congruence is when two given figures have the same shape and size.
Given that,
3AB=7AD
3AC=7AE
So, by re-arranging them we get the same ratio that is,
AB/AD=7/3
AC/AE=7/3
Hence, we can conclude that,
AB/AD=AC/AE
Also, we can show that ∠BAC and ∠DAE by the property of vertical angles.
But ∠BAC ≌ ∠DAE is also true by the vertical angle theorem in this diagram.
So, SAS property ∆ABC~∆ADE is proved in the end.
Learn more about Congruence on
https://brainly.com/question/30105362?referrer=searchResults
#SPJ4
HELPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPLEASEEEEEE
Answer: $49
Step-by-step explanation:
2.5% of 40 = 1, 9x1= 9, 40+9 = $49
Becky says that line c and d are parallel
what must true for Becky to be correct
Answer:
c) m <2 =m <3
Step-by-step explanation:
since the angles 2 and 3 are equal then they should be alternate angles
then c and d are parallel lines
if i drank x ounces of juice and someone drank 1/3 more than that what is your equation.
Answer:
y = x + 1/3
Step-by-step explanation:
We know
You drank x ounces of juice and someone drank 1/3 more than what you think
Let's y represent the total, we have the equation
y = x + 1/3
Answer: 4/3x (or 1/3 + x, since your wording's pretty odd)
Step-by-step explanation:
i can't tell if the one-third you're referring to is a third of how many ounces of juice you drank (meaning it will change if you drank 1, 2, 3 oz of juice and so on) or if it's always going to be a third of an ounce more than the amount of oz of juice you drank (in which case it'd be 1/3 + x). anyway just choose whichever answer you're looking for :3
What word is used to remember the 3 trigonometric ratios?
The word used to remember the 3 trigonometric ratios sine, cosine, and tangent is SOH-CAH-TOA
We know that in right triangle for an angle θ, the trigonmetric ratios are:
sin(θ) = opposite side of θ/ hypotenuse
cos(θ) = adjacent side of θ / hypotenuse
tan(θ) = opposide side of θ / adjacent side of θ
cot(θ) = 1/tan(θ)
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
The word 'SOH-CAH-TOA' is used to remember the sine, cosine, and tangent ratios in a right triangle.
SOH means, Sine = Opposite side / Hypotenuse.
CAH means, Cosine = Adjacent side / Hypotenuse.
TOA means, Tangent = Opposite side / Adjacent side
Learn more about the trigonmetric ratios here:
https://brainly.com/question/25122825
#SPJ4
Help please
Work out
A) 4/5 of 30
B) 2/9 x 45
C) 24 x 1/6
Answer:
A) 24
B) 10
C) 4
Step-by-step explanation:
i multiplied for each question
what is 60 to the power of 3/2? not sure how to calculate it
Answer: 108000
Step-by-step explanation: Here's how I got my answer:
So, first, we need to know something. Whenever there's a fraction, you need to do this. I'll show you the numbers for this problem:
(60^3) / 2
So, the numerator goes in parentheses, and the denominator is what we are dividing by. So, 60^3 is the same as 60 x 60 x 60. You'd get 216000. Then, divide by 2 to get 108000. I hope this helps!
TIP: do NOT turn 3/2 into an improper fraction; 1 1/2. You would get a completely different answer.
What is the area of equilateral ∆ having side 12 cm?
Therefore , the solution of the given problem of triangle comes out to be the equilateral triangle are is 62.28 cm².
Describe the triangle.In geometry, triangular polygons are ones that have three vertices and a right side. This object in two dimensions has three straight sides. Triangles are examples of three-sided polygons. The sum of a triangle's three angles is 180 degrees. The triangle lies on one plane.
Here,
Given : side = 12cm
Area of an equilateral triangle
=> √3/4 * side²
Side of triangle =12 cm
Area of an equilateral triangle
= > √3/4 * 12²
=>√3/4 * 12*12
=> 62.28 cm²
Therefore , the solution of the given problem of triangle comes out to be the equilateral triangle are is 62.28 cm².
To know more about triangle, visit
brainly.com/question/2773823
#SPJ4
help please (photo attached)
Answer:
slope = -1
Step-by-step explanation:
any 2 points:
(2,2) (0,4)
to find the slope we use the formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
slope is:
2/-2 = -1
Answer:
The slope is =
2/-2 = -1
Step-by-step explanation:
Also i hope you have a wonderful day !