The question from 'Middle School Math with Pizzazz! Book E' appears to utilize pie as a topic to explore fractions. It illustrates fractions visually, such as expressing three out of five slices of pie as 3/5, or six out of ten slices as 6/10 (which simplifies to 3/5).
Explanation:The question seems to be from the 'Middle School Math with Pizzazz! Book E'. It doesn’t seem to relate directly to the creation of a vegetable necklace, but I can infer that it relates to the concept of fractions, as suggested in the information. In mathematical terms, the slicing of pies and selection of pieces can be equated to the division of a whole into smaller parts, which is how fractions are defined.
For example, slicing one pie into five slices and taking three of them can be represented as 3/5, or three-fifths. This represents the concept of fractions in an easy-to-understand, visual way. Similarly, splitting one pie into 10 pieces and selecting 6 can be expressed as 6/10, or six-tenths, which also reduces to three-fifths when simplified.
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Final answer:
The 'vegetable necklace' problem seems to be a math-related craft activity aimed at teaching fractions or ratios. It involves creating a necklace pattern with vegetables in a consistent ratio, providing a hands-on way to understand these mathematical concepts in middle school math.
Explanation:
The question appears to be from a workbook called Middle School Math With Pizzazz! Book E, which suggests that the problem is related to a math puzzle or activity. Although the question mentions making a vegetable necklace, this is likely a math-based craft or theoretically presented problem for representing fractions, ratios, or patterns that are common in middle school mathematics.
Based on the provided reference (A.1), we can understand that this problem might be connected to fractions or proportional reasoning. The example given explains how we can divide pies into slices to represent different fractions yet end up with the same quantity. This principle can be applied to making a necklace, where vegetables represent parts of a whole, and different combinations can result in a necklace of the same length or number of items.
To make a vegetable necklace, a student could take a string and add vegetables at regular intervals, ensuring that the pattern or ratio remains consistent. For instance, if the pattern is one carrot for every two tomatoes, and the length of the necklace is to have 15 vegetables, there would be 5 carrots and 10 tomatoes on the string, maintaining the ratio.
This activity would give them a tangible representation of fractions and ratios, providing a hands-on experience in understanding these mathematical concepts.
what is greater..? 9.92 , 9.82 , 9.83 or 9.81 ?
9.92
You must look at which number has the decimal closest to 9.99
Here are the numbers in order from least to greatest
9.81, 9.82, 9.83, 9.92
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: 9.92
Step-by-step explanation: If you had $9.92, $9.82, $9.83 or $9.81. the most amount of money there is $9.92 because it is the closest to $10. which is more money than the least amount $9.81
which of the following is not equal to cos(-576)
A.cos 216
B. -cos(-36)
C. sin 126
d. -sin 54
e. cos 144
ANSWER
C. sin 126°
EXPLANATION
-576° is coterminal with ±216,±144.
Therefore
cos (-576°)=cos(±216°)=cos(±144°)
The principal angle for -576° is 36° .
Since the terminal side of -576° is in the second quadrant and the cosine ratio is negative in the second quadrant,
cos (-576°)=-cos (±36°)
Also from complementary angles
cos (-576°)=-cos (36°)=-sin (90-36)=-sin(54°)
One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar?
Answer:
2.16 * (10^-5).
Step-by-step explanation:
5 = -log H+
5 = log (1 / H+)
1/ H+ = 10^5
H+ = 10^-5
In a similar fashion the other brand has H+ of 10^-4.5.
So the difference in hydrogen ion concentration = 10^(-4.5) - 10^(-5)
= 2.16 * (10^-5).
2.16 × 10⁻⁵ is the difference in the concentration of hydrogen ions between the two brands of vinegar.
What is pH?pH is a numerical indicator of how acidic or basic aqueous and other liquid solutions are. The phrase, which is frequently used in biology, agronomy, and chemistry, converts the hydrogen ion concentration, which typically ranges between 1 and 1014 gram-equivalents per litre, into numbers ranging from 0 to 14.
The hydrogen ion concentration in pure water, which has a pH of 7, is 107 gram-equivalents per litre, making it neutral (neither acidic or alkaline). A solution having a pH below 7 is referred to as acidic, and one with a pH over 7 is referred to as basic, or alkaline.
5 = -log H+
5 = log (1 / H+)
1/ H+ = 10^5
H+ = 10^-5
difference= 10^(-4.5) - 10^(-5)
= 2.16 × 10⁻⁵
Therefore, 2.16 × 10⁻⁵ is the difference in the concentration of hydrogen ions between the two brands of vinegar.
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math help ^^ will give 10 points (*^ -^*)
Step-by-step explanation:
Question 4? is (maybe) C because a square and a rectangle's diagonals are perpendicular.
Question 5- True
Question 6- False, a square is always a rombi but a rombi isn't always a square.
Question 7- True
Question 8- True, because if they didn' then they wouldn't equal 360 degrees and the sum of a trapezoids interior angles has to add up to 360 degrees.
HELP!
Data Set #6-Number of students in 7th grade Math live session 45,52,60,40,35,28,40,54,58
Median=
Mode=
Mean=
Range=
Answer=
Arrange the numbers in order from smallest to largest:
28, 35, 40, 40, 45, 52, 54, 58, 60
Median is the middle value = 45
Mode is the number that appears most = 40
Mean is the average. Add the numbers and divide:
412/9 = 45.77 = 45.78
Range is difference between highest and lowest = 60 - 28 = 32
2. The amount of an ordinary $9000.00 annuity for 3 years at 12 percent compounded quarterly is _______? Show work.
Answer:
The amount after three years is $12831.8
Step-by-step explanation:
* Lets revise the compound interest
- The formula for compound interest is A = P (1 + r/n)^(nt)
Where:
# A = the value of the investment with interest
# P = the initial investment amount
# r = the annual interest rate (decimal)
# n = the number of times that interest is compounded per unit t
# t = the time the money is invested
* Now lets solve the problem
∵ The initial amount is $9000
∴ P = $9000
∵ The rate is 12%
∴ r = 12/100 = 0.12
∵ The interest is compound quarterly
∴ n = 4
∵ The money invested for 3 years
∴ t = 3
∵ A = P (1 + r/n)^(nt)
∴ A = 9000(1 + 0.12/4)^(4×3)
∴ A = 9000(1 + 0.03)^12
∴ A = 9000(1.03)^12 = $12831.8
Seven less than a number divided by 3 is five
Answer:22
Step-by-step explanation:
22-7=15.
15/3=5
So the answer is 5
The number will be 22.
What is fraction?The fraction is numerical representation of the numbers in the form of numerator and denominator.
We have,
Let, a number = x
Now,
According to the question,
[tex]\frac{x-7}{3} = 5[/tex]
So,
Now, multiply by 3 on both sides,
i.e.
[tex]\frac{(x-7)}{3} *3 = 5*3[/tex]
We get,
x - 7 = 15
⇒
x = 22
So, value of x is 22.
Hence, we can say that the number will be 22.
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factor completely x^6 - y^6
Answer:
[tex]\large\boxed{x^6-y^6=(x-y)(x+y)(x^2+y^2-xy)(x^2+y^2+xy)}[/tex]
Step-by-step explanation:
[tex]x^6-y^6=x^{(2)(3)}-y^{(2)(3)}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=(x^2)^3-(y^2)^3\qquad\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(x^2-y^2)\bigg((x^2)^2+x^2y^2+(y^2)^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x-y)(x+y)\bigg((x^2)^2+2x^2y^2+(y^2)^2-x^2y^2\bigg)\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=(x-y)(x+y)\bigg((x^2+y^2)^2-x^2y^2\bigg)\\\\=(x-y)(x+y)\bigg((x^2+y^2)^2-(xy)^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x-y)(x+y)(x^2+y^2-xy)(x^2+y^2+xy)[/tex]
Answer:
(x²)³ - (y²)³ = (x² - y²)(x^4 + x²y² + y^4)
Step-by-step explanation:
x^6 - y^6 is the difference of two cubes: (x²)³ - (y²)³. Differences of cubes can be factored as follows: a³ - b³ = (a - b)(a² + ab + b²).
Thus, (x²)³ - (y²)³ = (x² - y²)(x^4 + x²y² + y^4)
Ax-bx-y=z
which of the following represents the formula that could be used to find x?
Answer:
see explanation
Step-by-step explanation:
Given
Ax - bx - y = z ( add y to both sides )
Ax - bx = z + y ← factor out x from both terms on the left side
x(A - b) = z + y ← divide both sides by (A - b)
x = [tex]\frac{z+y}{A-b}[/tex]
Which of the following tables represents a function?
A. *|- 11 -5 -4 1
Answer: Option A
Step-by-step explanation:
A relation between two variables x and y is considered a function if and only if, for each input value x there is only one output value y.
If for an input value [tex]x_0[/tex] there are two output values [tex]y_1[/tex] and [tex]y_2[/tex] then the relation is not a function.
Therefore, to answer this question, identify the table in which each value of x has only one value of y.
You may notice that the option that meets this requirement is option A
Note that in option B, there are two output values 17 and 16 for x = -4.
So this relationship is not a function.
In option C there are 2 output values for x = -5
In option D there are 2 output values for x = -11
Eight more than the product of a number and 4 is equal to 6
Answer:8>4n=6 or 8>4+n=6
Step-by-step explanation:
Let's solve the equation step by step. The problem statement can be translated into a mathematical equation:
"Eight more than the product of a number and 4 is equal to 6."
Let x be the number we are looking for. When the problem says "the product of a number and 4," we can express this as 4 * x or 4x. The phrase "eight more than" implies we are to add 8 to the product of the number and 4, making the expression 4x + 8. According to the statement, this expression is equal to 6. Thus, we write the equation as:
4x + 8 = 6
To find the value of x, we will follow these steps:
1. Subtract 8 from both sides of the equation to isolate the term with x on one side.
4x + 8 - 8 = 6 - 8
This simplifies to:
4x = -2
2. Divide both sides of the equation by 4 to solve for x.
4x / 4 = -2 / 4
This simplifies to:
x = -1/2
So the number we were looking for, represented as x, is -1/2.
solve for x 5/
6X equals 10 / 3
Answer:
[tex]\large\boxed{x=\dfrac{1}{2}=0.5}[/tex]
Step-by-step explanation:
[tex]\dfrac{5}{6x}=\dfrac{10}{3}\qquad\text{cross multiply}\\\\(6x)(10)=(5)(6)\\\\60x=30\qquad\text{divide both sides by 60}\\\\x=\dfrac{30}{60}\\\\x=\dfrac{1}{2}[/tex]
What is the value of this expression when n approaches infinity? 4-4/n+5/n+15/3n2
Answer:
4
Step-by-step explanation:
The given expression is
[tex]4-\frac{4}{n}+\frac{5}{n}+\frac{15}{3n^2}[/tex]
We want to find the value of this expression as n approaches infinity.
Recall that as n approaches infinity, [tex]\frac{c}{n}[/tex], where c is a constant approaches zero.
The value of the given expression then becomes;
[tex]4-0+0+0=4[/tex]
how do i find the altitude of a right triangle when given two sides but not the hypotenuse?
You can use the Pythagorean Theorem to find the hypotenuse. Then you should be able to find the altitude.
What are the solutions to the quadratic equation below x^2+20x+100=7
First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides
x^2 + 20x + (100 - 7) = 7 - 7
x^2 + 20x + 93 = 0
Now you must find two numbers who's sum equals 20 and their multiplication equal 93
Are there any? NO!
This means that you have to use the formula:
[tex]\frac{-b±\sqrt{b^{2} - 4ac} }{2a}[/tex]
In this case:
a = 1
b = 20
c = 93
[tex]\frac{-(20) plus/minus\sqrt{20^{2} - 4(1)(93)} }{2*1}[/tex]
[tex]\frac{-20 plus/minus\sqrt{400 - 372} }{2}[/tex]
[tex]\frac{-20 plus/minus\sqrt{28} }{2}[/tex]
^^^We must simplify √28
√28 = 2√7
so...
[tex]\frac{-20 plus/minus 2\sqrt{7} }{2}[/tex]
simplify further:
[tex]-10 plus/minus\sqrt{7[/tex]
-10 + √7
or
-10 - √7
***plus/minus = ±
Hope this helped!
~Just a girl in love with Shawn Mendes
Find the area of the kite !!!! PLEASE HELP!!!!
A. 26 m^2
B. 36 m^2
C. 30m^2
D. 18 m^2
ANSWER
D. 18 m^2
EXPLANATION
The area of a kite is half the product of the diagonals.
The diagonals of the kite are
3+3=6m
and
2+4=6m
The area of the kite
[tex] = \frac{1}{2} \times 6 \times 6[/tex]
[tex] = 3 \times 6[/tex]
[tex] = 18 {m}^{2} [/tex]
The correct answer is D.
The area of kite using the diagonal length 6m and 6 m is 18 m².
Thus, option (d) is correct.
Given:
length of diagonal 1 = 3+ 3 = 6 m
length of diagonal 2 = 2+ 4 = 6 m
Using the formula of Area of Kite
[tex]{\text} Area of kite[/tex] = [tex]\dfrac{1}{2} *[/tex] [tex]{\text} product \; of \;diagonal[/tex]
Now, substituting the values of diagonal into the formula as
[tex]{\text} Area of kite[/tex] = [tex]\dfrac{1}{2} *[/tex] [tex]{\text} (6 * 6)[/tex]
= [tex]\dfrac{1}{2} *[/tex] [tex]{\text} (36)[/tex]
= 18 m²
Thus, the area is 18 m².
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Question 5
What is the value of x?
Answer:
x = 27Step-by-step explanation:
An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
Therefore we have the equation:
[tex]\dfrac{x+8}{10}=\dfrac{2x-5}{14}[/tex] cross multiply
[tex]14(x+8)=10(2x-5)[/tex] use the distributive property
[tex](14)(x)+(14)(8)=(10)(2x)+(10)(-5)[/tex]
[tex]14x+112=20x-50[/tex] subtract 112 from both sides
[tex]14x=20x-162[/tex] subtract 20x from both sides
[tex]-6x=-162[/tex] divide both sides by (-6)
[tex]x=27[/tex]
HELLLLLLLLLLLLLLPPPPPP MEEEEEEEEEEEEEEE!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Distribute the 1/2:
1/2(8x+4)
4x + 2
Distribute the 1/3:
1/3(9-3x)
3 - x
Add:
4x + 2 + 3 - x
3x +5
I hope this helps!
Answer:
D
Step-by-step explanation:
Distribute the 1/2:
1/2(8x+4)
4x + 2
Distribute the 1/3:
1/3(9-3x)
3 - x
Add:
4x + 2 + 3 - x
3x +5
I hope this helps!
I copy and pasted the answer above mine
What is the missing measure on the small rectangle?
Answer:
4 inches
Step-by-step explanation:
If you divide 18 by 6, the answer is three, so it is scaled down 3x.
So, you have to divide 12 by 3, and the answer is 4.
Answer: 4 Inches
Step-by-step explanation: The rectangle on the left shows that the length is 18 inches and the height is 12 inches. Now, to find the height on the right, First we must realize what changed has been made from the left to the right. We know that our length has decreased to 6 inches from 18. 18 can be divided by 3 and that will give us the quotient of 6. Now, we must divide our height on our original rectangle by 3 as well. Once we divide, our new height of our rectangle also known as X will be 4 Inches Long.
Have A Great Day!
a box contains 24 yellow balls and 76 red balls. One-fourth of the ball of each color are labeled "Win a prize." Match each description of a probability with its value as a percent.
A. The probability that a randomly selected
ball labeled "Win a prize” is yellow
B. The probability that a randomly selected
ball labeled "Win a prize” is red
C. The probability that a randomly selected
ball is labeled "Win a prize" and is red
D. The probability that a randomly selected
yellow ball is labeled "Win a prize"
___76%
___25%
___24%
___19%
A=24
B=76
C=25
D= 19
Step-by-step explanation:
.......
Final answer:
The probabilities are matched as follows: A-24%, B-76%, C-19%, and D-25%. These are calculated based on the total number of balls of each color and the fraction that are labeled to win a prize.
Explanation:
The question provides a scenario where there are 24 yellow balls and 76 red balls in a box, and one-fourth of each color are labeled "Win a prize." We are asked to match descriptions of probabilities with their corresponding percent values.
A: Probability that a randomly selected ball labeled "Win a prize" is yellow = (1/4 * 24) / ((1/4 * 24) + (1/4 * 76)) * 100 = 6 / (6 + 19) * 100 = 24%.
B: Probability that a randomly selected ball labeled "Win a prize" is red = (1/4 * 76) / ((1/4 * 24) + (1/4 * 76)) * 100 = 19 / (6 + 19) * 100 = 76%.
C: Probability that a randomly selected ball is labeled "Win a prize" and is red = (1/4 * 76) / 100 = 19%.
D: Probability that a randomly selected yellow ball is labeled "Win a prize" = (1/4 * 24) / 24 * 100 = 25%.
i need help quick !!! pleaseIs the sentence in natural order or inverted order?
Across the street played the children in the neighborhood.
inverted
natural
Answer: The correct answer is inverted
Step-by-step explanation:
Given:
A = V3
B = 2V3
C= 25
D= V16
Which expressions result in a rational number? Select all that apply.
Answer:
The ones that give a rational number answer are:
C+D
A*B
C*D
A*A
Step-by-step explanation:
A+B does not give a rational number answer; √3+2√3 = 3√3
C+D is a rational number; √25=5 and √16=4; 5+4=9.
A+D is not a rational number; √3+√16 = √3+4
A*B is a rational number; √3*2√3 = 2√9 = 2*3 = 6
B*D is not a rational number; 2√3*√16 = 2√3*4 = 8√3
C*D is a rational number; √25*√16 = 5*4 = 20
A*A is a rational number; √3*√3 = √9 = 3
A rectangle has perimeter of 20, if the length and width are halved. What is the new perimeter ?
Answer:
10
Step-by-step explanation:
The perimeter will also be halved: (1/2)(20) = 10.
Example: a rectangle of length 14 ft and width 8 ft has perimeter P = 2(14 ft) + 2(8 ft), or 28 ft + 16 ft = 44 ft.
If we halve the length and width, we get 7 ft and 4 ft, and the P is
2(7 ft) + 2(4 ft) = 14 ft + 8 ft = 22 ft, which is half of the original perimeter 44.
if x represents a number, write an expression to represent a number which is 5 less than 3 times x
Answer:
the correct answer is x = 3x - 5
A movie was shown 6 times every day from November 24 through December 19. How
many times was the movie shown in all?
(Note: The month of November has 30 days.)
Select your answer.
О 138
0 144
О156
О162
Answer:
162
Step-by-step explanation:
What’s the radius of a circle with an area of 123 square feet
Answer:
6.25716517287
Step-by-step explanation:
Area of circle = π × r²
→ 123 = π × r²
⇒ Divide both sides by π
→ 39.1521160006 = r²
⇒ Square root both sides
→ 6.25716517287 = r
which expression is 444 times as large as the expression 34 -15
A
4 x 34 - 15
B
4 x (34 - 15)
C
(4 x 34) - 15
Final answer:
The expression that is 444 times as large as the expression 34 - 15 is (4 x 34) - 15.
Explanation:
To find the expression that is 444 times as large as the expression 34 - 15, we need to multiply the expression by 444. The correct expression is option C, which is (4 x 34) - 15. Let's break it down:
First, we perform the multiplication: 4 x 34 = 136.
Then, we subtract 15 from the result: 136 - 15 = 121.
Therefore, the expression (4 x 34) - 15 is 444 times as large as the expression 34 - 15.
The question is a picture.
Answer:
904.32 cm³Step-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
r - radius
H - height
We have r = 6cm and H = 8cm. Substitute:
[tex]V=\pi(6^2)(8)=\pi(36)(8)=288\pi\ cm^3[/tex]
[tex]\pi\approx3.14\to V\approx(288)(3.14)=904.32\ cm^3[/tex]
Answer:
904.32 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ( r is the radius of the base and h the height )
here r = 6 and h = 8, so
V = 3.14 × 6² × 8
= 3.14 × 36 × 8 ≈ 904.32 cm³
Choose the correct symbol to form a true statement. 11/18 ____5/9
For this case we have the following numbers:
[tex]\frac {11} {18} = 0.611111111111\\\frac {5} {9} = 0,555555555556[/tex]
Note that [tex]\frac {11} {18}[/tex]is greater than[tex]\frac {5} {9},[/tex] so the inequality sign must be placed with the opening towards [tex]\frac {11} {18}[/tex].
Answer:
[tex]\frac {11} {18}> \frac {5} {9}[/tex]
What is the coefficient of the term of degree 5 in the polynomial below?
3x +5 - +4x3 - 9x
ANSWER
D. 4
EXPLANATION
The given polynomial is
[tex]3 {x}^{6} + 5 - {x}^{2} + 4 {x}^{5}- 9x[/tex]
The term in degree 5 in this polynomial is
[tex]4 {x}^{5} [/tex]
The coefficient of this term is the constant that is multiplying the variable raised to exponent 5.
This number is 4.
Therefore the coefficient of term in degree 5 is 4
The correct answer is D.