Answers
Final answer:
The expression equivalent to 32 might refer to a mathematical manipulation or a unit conversion. In equations, 32 is what remains when you subtract 32 from one side of an equation like x + 32 = 64. Meanwhile, in conversions, multiplying the number of quarts by 32 gives you the equivalent volume in fluid ounces.
Explanation:
The expression is equivalent to 32 and could be interpreted in different contexts. Using mathematical manipulation, when you subtract 32 from both sides of an equation, the equality holds. For example, if you have an equation like x + 32 = 64, subtracting 32 from both sides gives us x = 64 - 32, which simplifies to x = 32. This demonstrates an application of the principle that you can add or subtract the same number from both sides of an equation without changing its solution.
In relation to conversion between different units of measurement, specifically volume, when you convert quarts to fluid ounces, the conversion factor is 32 because there are 32 fluid ounces in one quart. Consequently, to find how many fluid ounces are in a given number of quarts, you multiply the number of quarts by 32. For example, 4 quarts equal 4 × 32, which is 128 fluid ounces.
Furthermore, when dealing with electrical resistance, 'equivalent resistance' is another situation where the number 32 might be relevant. Depending on the context and the specific details of an electrical circuit, one of the listed equivalent resistances may be the correct answer to a problem involving calculating the total resistance.
Related Questions
ana tiene 5000000 en una cuenta bancaria. le dan un interes de 3.2%, ¿cuanto dinero trndra dentro de 2 meses y 10 dias ( todos los meses tienes 30 dias)
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My answer was $43,835.62.
Hope this helped☺☺
Find the side and measure B
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When angle opposite to the unknown sides and other two sides are given then we use law of cosines
Law of cosine
[tex] c^2 = a^2 + b^2 - 2ab cos(c) [/tex]
From the given diagram
[tex] AB^2 = CB^2 + AC^2 - 2(CB)(AC) cos( c) [/tex]
CB = 108
AC= 55
Angle c= 59
[tex] AB^2 = 108^2 + 55^2 - 2(108)(55) cos( 59 ) [/tex]
[tex] AB^2 = 8570.34767 [/tex]
Take square root on both sides
AB = 92.6 m
To find out angle B we use sine law
[tex] \frac{sin(a)}{a} = \frac{sin b}{b} = \frac{sin c}{c} [/tex]
[tex] \frac{sin b}{b} = \frac{sin c}{c} [/tex]
From the figure
[tex] \frac{sin B}{AC} = \frac{sin C}{AB} [/tex]
[tex] \frac{sin B}{55} = \frac{sin 59}{92.6} [/tex]
sin(B) = 0.50916647
B = [tex] sin^{-1} [/tex](0.50916647)
Angle B= 30.61 degrees
Find the outlier of the set of data: 80, 71, 75, 69, 74, 17, 82 A. 82 B. 81 C. 74 D. 17
Answers
Answer:
Use the drop-down menus to identify the key values of the box plot.
The median is
✔ C
.
The minimum is
✔ A
.
The maximum is
✔ E
.
The lower quartile (Q1) is
✔ B
.
The upper quartile (Q3) is
✔ D
.
Step-by-step explanation:
i took the test
In a six-sided dice game, a prize is won if the arithmetic mean of number rolled is 3.25-3.75. In a second game, a prize is won if the arithmetic mean is more than 4.5. In which game would you rather roll the dice 20 times or 200 times
Answers
For rolling the dice 200 times, the same logic applies. Regardless of the number of rolls, the game with the higher probability of winning, which is the second game, is preferred.
To determine which game is more favorable for rolling the dice, we need to calculate the expected value for each game. The expected value represents the average outcome of rolling the dice.
For the first game, the possible outcomes are integers between 1 and 6. The arithmetic mean should be between 3.25 and 3.75 to win a prize. So, we need to find the probability of rolling numbers that satisfy this condition.
Let's denote [tex]\( p_1 \)[/tex] as the probability of winning the first game. To find [tex]\( p_1 \)[/tex], we calculate the probability of rolling numbers between 13 and 18 (inclusive) since the sum of these numbers falls within the range of 3.25 to 3.75.
[tex]\[ p_1 = \frac{6}{6^2} = \frac{1}{6} \][/tex]
For the second game, we need the arithmetic mean to be more than 4.5. This means the sum of the numbers should be more than [tex]\( 4.5 \times 6 = 27 \)[/tex]. Since the maximum sum of rolling six dice is 36, all outcomes satisfy this condition.
Let's denote [tex]\( p_2 \)[/tex] as the probability of winning the second game. Since all outcomes are favorable, [tex]\( p_2 = 1 \)[/tex].
Now, we calculate the expected values for each game:
[tex]\[ E_1 = p_1 \times \text{Prize amount for game 1} \][/tex]
[tex]\[ E_2 = p_2 \times \text{Prize amount for game 2} \][/tex]
Given that the prize amount is the same for both games, we can compare the expected values directly.
For rolling the dice 20 times:
[tex]\[ E_1 = \frac{1}{6} \times \text{Prize amount} \][/tex]
[tex]\[ E_2 = 1 \times \text{Prize amount} \][/tex]
Since [tex]\( \frac{1}{6} \)[/tex] is less than 1, it's better to choose the game with the higher probability, which is the second game.
For rolling the dice 200 times, the same logic applies. Regardless of the number of rolls, the game with the higher probability of winning, which is the second game, is preferred.
The complete question is:
In a six-sided dice game, a prize is won if the arithmetic mean of number rolled is 3.25-3.75. In a second game, a prize is won if the arithmetic mean is more than 4.5. In which game would you rather roll the dice 20 times or 200 times
Which ordered pair could represent the coordinates of point k
Answers
In each of the equations or inequalities below, find all the integer values of x that make the equation or the pair of inequalities true. Explain reasoning for each part.
Part A: |x|=17
Value Of X:
Part B: |x+9|=15
Value Of X:
Part C: |x-10| ≤ 13 and |x-10| ≥ 9
(Find the values of x that make both inequalities true)
Values of X:
Answers
Part A: if the absolute value of X was 17, then X could equal -17 or 17.
Part B: |x+9|=15. We know that 6+9=15, so X could equal -6 or 6.
Part C: |x-10| ≤ 13. We know that 23-10 is 13. So 23 would be the greatest value of X. Then, for the smallest value of X, if we insert -3 in the equation to take the place of the variable, we get |-3-10|=13. So -3 would be the smallest value of the equation. X≤ 23 and X≥-3.
3/7x + 4 = -1/2
explain pls
Answers
subtract 4 from both sides
3/7x= -1/2 - 4
3/7x= -4 1/2
divide both sides by 3/7
x= -4 1/2 ÷ 3/7
convert -4 1/2 to improper fraction
x= (-4*1+1)/2 ÷ 3/7
x= -9/2 ÷ 3/7
multiply by reciprocal of 3/7
x= -9/2 * 7/3
multiply numerators & denominators
x= (-9*7)/(2*3)
x= -63/6
x= -10 3/6
simplify 3/6 by 3
x= -10 1/2
CHECK:
3/7x + 4 = -1/2
3/7(-63/6) + 4= -1/2
(3*-63)/(7*6) + 4= -1/2
-189/42 + 4= -1/2
-4 1/2 + 4= -1/2
-1/2= -1/2
ANSWER: x= -63/6 or -10 1/2
Hope this helps! :)
To solve the equation 3x−2=4x−1 3 x − 2 = 4 x − 1 , Veronica graphs the functions f(x)=3x−2 f ( x ) = 3 x − 2 and g(x)=4x−1 g ( x ) = 4 x − 1 on the same set of coordinate axes.
Which statement describes the solution of the equation 3x−2=4x−1
The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect.
The solution of the equation is the y-intercept of the linear equations.
The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
The solution of the equation cannot be found graphically. Veronica should solve the equation algebraically.
Answers
End time 10:30 elapsed time 3/4 of an hr what is starting time
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Since the end time is 10:30 and the activity was started 3/4 an hour earlier, we need to subtract 3/4 an hour from 10:30 to get the starting time.
3/4 hour = 45 min
10:30 - 45 min = 9:45
So, the starting time is 9:45.
Hope this helps!
1 hour=60 minutes
3/4 hour=45 minutes
Then, we subtract 45 minutes from 10:30 to get the starting time:
10:30-45 minutes
=10:00-15 minutes
=9:45
The starting time was 9:45
What is 50% of 80?
part ? 50
—— = ——- ] percent
whole. 80. 100
what is the part since we don’t know what “what” is.
50% is the percent
and 80 is the whole
Answers
50% of 80 is the number 40.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find the number of 50% of 80
Convert the percentage to deicmal number.
To do this we have to divide percentage by 100.
50/100=0.5
Now multiply 0.5 with 80
0.5×80
Which we get is 40
Hence, 50% of 80 is the number 40.
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the volume of the sphere is 500/3 pie cubic units . what is the value of X?
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How do you do this problem? It isn't C is all I know.
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Since it's 45% OF 210.5 ft we know it will be multiplication because of means to multiply.
[tex]210.5 \times 0.45[/tex]
It would look like this becuase a percentage is a decimal answer. we'd find that by moving the decimal place two places to the left.
94.725 would be the result if 45% of 210.5
We will still to to subtract but first let me show you how to do it with ratios.
To do this we set it up like so.
[tex] \frac{45}{100} = \frac{?}{210.5} [/tex]
We know that the percentage 45 is out of 100 percent. we also know that 210.5 is the whole number we are trying to find the fraction of. Therefore 210.5 would be equivalent to the 100 because 210.5 is the entire number (210.5/210.5).
First we divide 210.5 by 100 to figure out how much to multiply the numerator by to find the number (or numerator) over 210.5.
We come up with the number 2.105
We then multiply that number by 45 to find the numerator of the fraction of 210.5
45 × 2.105 = 94.725
Now to find the remainder of fencing left we subtract 94.725 from 210.5 since we only found out what 45% of 210.5 is not how much is left over.
We come up with an answer of 115.775 ft which we round to 115.78 ft of fencing.
Write the following equation in standard form: x^5+2x^3+6x+1/5
Answers
Not totally sure
Answer:
[tex]x^5+2x^3+6x+\frac{1}{5}[/tex]
Step-by-step explanation:
We have been given an equation [tex]x^5+2x^3+6x+\frac{1}{5}[/tex]. We are asked to write our given equation in standard form.
We know that to write an equation in standard form, we need to write the degree terms in descending order.
Upon looking at our given equation, we can see that all terms are in descending order of degree, therefore, our given equation is already writen in standard form.
Write an expression based on the given description.
In Spencer’s garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is 7c – 1.5 1.5c – 7 7(c – 1.5) 1.5(c – 7) .
Answers
Answer:
7c -1.5
Step-by-step explanation:
Answer:
7c -1.5
I hope this helps
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
7w3+8t2u2–2t2u2–4t2u2
Answers
---
Hope this helps!
A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and he changes the scale of the drawing to 1 in. = 1.1 ft. What is the change in the scale factor from the old scale to the new scale? Help Please!!
Answers
The change in the scale factor from the old scale to the new scale is option A; 3 to 1.
What is Scale?The ratio used to depict the relationship between the dimensions of a model or scaled figure and the corresponding dimensions of the real figure or object is called the scale. On the other hand, a scale factor is a value that is used to multiply all of an object's parts in order to produce an expanded or decreased figure.
Given, A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft.
Since Josh decides to make the house addition smaller,
he changes the scale of the drawing to 1 in. = 1.1 ft.
Old: 1 inch = 3.3 feet.
New: 1 inch = 1.1 feet.
Old; 3.3 / 1.1 = 3.
New; 1.1 / 1.1 = 1
The change in the scale factor from the old scale to the new scale is option A; 3 to 1.
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how do you get the percent of 20% off 7.12
Answers
Multiply 7.12 by 0.20 to get 20% of 7.12
You can multiply any number by 0.20 to get 20% of that number!
How does tripling the circumference of the circle affect the diameter of the circle?
Answers
Given the area of a circle calculate the radius and circumference
r = √(A / π)C = 2πr
Proof: C= 3in r = 0.477464 d=2r=0.9549296
C= 9in r= 1.432394 d= 2.864788 = 3x
A figure is made up of 5 identical squares, the area of the figure is 405 squares inches, what is the perimeter
Answers
# # #
# # . . . . . . . . will have a perimeter of 90 inches
# # # # # . . . will have a perimeter of 108 inches⊕
To find the perimeter of a figure made up of 5 identical squares with a total area of 405 square inches, you would calculate the side length of one square as 9 inches and then consider the shared sides. The perimeter would be 180 inches.
The question describes a figure made up of 5 identical squares with a total area of 405 square inches. To find the area of one square, we divide the total area by the number of squares, resulting in 405 ÷ 5 = 81 square inches per square. Knowing that the area of a square is given by the formula A = side length × side length (or A = a²), we can determine that each side of the square is
The square root of 81, which is 9 inches. Since there are 5 squares, the figure will have overlapping sides when the squares are combined. To calculate the perimeter, we need to consider that each square shares a side with another, except for the starting and ending squares in the arrangement. Therefore, the perimeter of the entire figure will be 9 inches times 4 for the first or outer square, plus 9 inches times 3 for each of the remaining squares (as one side is shared). This gives us a total perimeter of 4 × 9 + (4 × 9 × (5-1)) inches.
When calculating the perimeter of the entire figure, the formula for the perimeter is P = 4×side + 4×(number of squares - 1) × side, resulting in a final computation of P = 4×9 + 4×4 × 9, which equals 180 inches.
x^2-40x Complete the square for the expression. Then factor the trinamial.
Answers
What is the answer please
Answers
so
1/3 + 1/3 + 1/3
3/3
This is also equal to 2/2 or 1/1 or just simply 1.
Hope this helps!
The exchange rate at the post office is £1 = €1.17 how many euros will you get for £280
Answers
We are given:
£ 1 = € 1.17
We need to find
£ 280 = ?
We can do this by ratio/fraction
[tex] \frac{pounds}{euros} [/tex] or pounds : euros
[tex] \frac{1}{1.17} = \frac{280}{?} [/tex]
We need to cross multiply to find the value of € when £280
? = 1.17 x 280
? = 327.6
£280 ≈ €327.6
To calculate the number of euros you will get for £280, divide £280 by £1 and then multiply by €1.17. You will get approximately €327.60.
Explanation:To calculate the number of euros you will get for £280, we can use the given exchange rate of £1 = €1.17.
First, we need to find the value of 1 pound in euros by dividing £280 by £1.
This gives us 280.
Then, we can multiply 280 by €1.17 to get the number of euros you will get.
Therefore, you will get approximately €327.60 for £280.
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How many liters of a 10% saline solution must be added to to 4 liters of a 40% saline solution to obtain a 15% saline solution? A)20 L B)4 L C)2 L D)48 L Plz explain the steps and how to get answer
Answers
We will let x be the amount of 10% solution in our problem. 10% saline in x liters is 0.1x. 4 liters of a 40% solution would be 4*0.4 = 1.6. We know that there are a total of x+4 liters in the final solution, and that it is 15% saline; that is 0.15(x+4). Our equation is then:
0.1x + 0.4(4) = 0.15(x+4)
0.1x+1.6 = 0.15*x + 0.15*4
0.1x+1.6 = 0.15x+0.6
We cannot have a variable on both sides; we will subtract 0.1x from both sides:
0.1x + 1.6 - 0.1x = 0.15x + 0.6 - 0.1x
1.6 = 0.05x + 0.6
Subtract 0.6 from both sides:
1.6 - 0.6 = 0.05x + 0.6 - 0.6
1 = 0.05x
Divide both sides by 0.05:
1/0.05 = 0.05x/0.05
20 = x
x was the 10% solution, so there are 20 liters of it.
The ages of two groups of yoga students are shown in the following dot plots:
A dot plot shows Age in years on the horizontal axis. For Group P, there is 1 dot on 4, 2 dots on 5, 3 dots on 7, 1 dot on 8, 2 dots on 12, 1 dot on 14, 2 dots on 16, and 1 dot on 17. For Group Q, there is 1 dot on 4, 2 dots on 6, 2 dots on 8, 1 dot on 10, 3 dots on 12, 2 dots on 14, 3 dots on 16, 1 dot on 19, 3 dots on 20, 1 dot on 21, 2 dots on 22, 1 dot on 23, and 3 dots on 24.
The mean absolute deviation (MAD) for group P is 4.15 and the MAD for group Q is 5.35. Which of the following observations can be made using these data?
Group P has less variability in the data.
Group P has greater variability in the data.
Group Q has a lower range.
Group Q has a lower mean.
Answers
If you compare the mean absolute deviations (MAD), you see that group P has a lower value than group Q. This means that the values in group P are closer to the mean than group Q. Therefore, we say that it have less variability. In other words, the values don't vary as much.
Answer Group P has less variability in the data.
Actually you can have a d for any class because during science class in the 7th grade i had a D soo not trying to cause problems also but your grade has to be a 60 or above to pass and to fail is 59 and lower so
Step-by-step explanation:
Please help with 17 part b
Answers
n > 175 + 93
n > 268
So any numbers that are greater than 268 will be true.
(D) n = 300
(E) n = 312
in an ordered pair,the x-coordinate represents the number of hexagons and the y-coordinate represents the total number of sides.If the x-coordinate is 7, what is the y coordinate
Answers
Hexagons have 6 sides. Since the x-coordinate is 7, there are 7 hexagons. 7 hexagons * 6 sides each = 42 sides for the y-coordinate.
Which statement is NOT true?
F. A set of ordered pairs describes a function if each x-value is paired with only one y-value.
G. A table of values describes a function if each x-value appears in the table only once.
H. A mapping is a function if each x-value is mapped to only one y-value.
J. Any graph that is a line represents a function.
Answers
_____________________________________________________
"A table of values describes a function if each x-value appears in the table only once."
_____________________________________________________
Note: All the other answer choices: [F], [H], and [J] — are true.
______________________________________________________
A function assigns the value of each element of one set to the other specific element of another set. The statement that is not true about the function is option G.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The given following statements are about functions. Of the given four statements the one that is not correct is G. This is because if the x-value appears just for one time in a table does not mean it can not have multiple outputs.
Hence, the statement that is not true about the function is option G.
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Help me with 1-6 please
Answers
8x = 16
X= 2
2.
=0
Hope this help
What are two different ways of factoring –3x – 9? Select all that apply. A. –3(x + 3) B. 3(x + 3) C. 3(–x – 3) D. –3(x – 3)
Answers
Answer:
A and C
Step-by-step explanation:
Two different ways of factoring -3x - 9 are:
A. -3(x + 3)
C. 3(-x - 3)
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.
To factor -3x - 9, we can rewrite it as -3(x + 3) or 3(-x - 3).
Both of these expressions are in the form of a product of a constant and a binomial (a polynomial with two terms).
Option A, -3(x + 3), can be obtained by applying the distributive property, which states that we can multiply a constant by each term in a binomial to obtain the product.
In this case, we have -3 × x + -3 × 3 = -3x - 9.
Option C, 3(-x - 3), can also be obtained using the distributive property. In this case, we have 3 × -x + 3 ×-3 = -3x - 9.
Option B, 3(x + 3), is incorrect because the coefficient of the x term is positive, whereas in the original expression it is negative.
Option D, -3(x - 3), is also incorrect because the coefficient of the x term is negative, whereas in the original expression it is positive.
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The length of an equilateral triangle is increased by 7 inches, so the perimeter is now 36 inches. Find the original length of each side of the equilateral triangle.