if 6 24 36 are in proportion,find the second proportional.
Answers
9
Step-by-step explanation:
let 2nd proportion be x
6:x=24:36
6÷x=24÷36
x=6×36÷24
x=9
Related Questions
Two groups of people need to get across a lake. The first group has 36 people. Its boats can carry 5 passengers. The second group has 24 people. Its boats can carry only 4 passengers.
Which group needs more boats?
Follow the steps to solve the problem.
1. Group 1 is represented by the equation 5x = 36. Solve this equation for x. Show your work. (2 points)
2. How many boats does group 1 need? Explain your answer. (2 points)
3. Write and solve an equation to find how many boats group 2 needs. Show your work. (3 points)
4. Which group needs more boats? (3 points)
Answers
Answer:
Step-by-step explanation:
5x=35
/5 /5
x = 6
What is the area of a rectangle with side lengths 2/5 feet and 4/6 feet?
Answers
Answer:
\(\frac{4}{15}\) (4/15)
Step-by-step explanation:
\(\frac{4}{6}=\frac{2}{3}\)
\(\frac{2}{5}*\frac{2}{3};\)
1- Multiply the numerators:
\(2*2=4\)
2- Multiply the denominators:
\(5*3=15\)
3- Thus:
\(\frac{2}{5}*\frac{2}{3}= \frac{4}{15}\)
Hope this helps ;)
Olivia
has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking. How much butter is used in each batch of muffins?
Answers
If she needs to divide the butter equally then quantity of butter that should be in 4 batches each is 1/32 pond.
According to the question:
Olivia has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking.
Quantity of butter = 1/8
Number of batches = 4
To find how much butter is used in each batch of muffins, we just have to divide 1/8 pond of butter to 4.
If she needs to divide the butter equally then quantity of butter that should be in 4 batches each = 1/8 ÷ 4 = 1/32 pond
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which of the following is the numerical coefficient of x2y2
Answers
Step-by-step explanation:
1) Option II (1)
2) Option III (-5)
3) IV (None of these)
4) III (-4)
Answer:
1. The numerical coefficient of x^2y^2 is 1
2. -5
3. Monomial
4. -4(I know its x squared)
Step-by-step explanation:
1. We know if we multiply any number or variable with 1 it remains same.
here there is no number before (x^2)(y^2) so we assume it as 1.
Hence the answer is 1.
2. numerical coefficient is a constant multiplier of the variables in a term. In the term -5x2y, the numerical coefficient is -5. In the expression ax2 + bx + c, the numerical coefficient of the x2 term is "a" and the numerical coefficient of the x term is "b". "c" is properly referred to as the constant term.
3. in monomial there is only one term and pqr is only one term. binomial requires two terms like abc, pqr. and trinomial requires three terms like abc, pqr, mno.
4. -1^2 - 5 = -1 - 5 = -4 I know in rules of subtracting integer it equals to -4
To subtract integers, change the sign on the integer that is to be subtracted.
If both signs are positive, the answer will be positive.
If both signs are negative, the answer will be negative.
If the signs are different subtract the smaller absolute value from the larger absolute value.
Square ABCD has an area of 1600. E is the midpoint of AC and Fis the midpoint of AB.
What is the area of the trapezoid BCEF?
O 300 square units
O 1,200 square units
O 600 square units
O 109 square units
Answers
PLEASE HELP ME ASAP :(
1. Write the equation in slope intercept form. 4x-3y=12
2. Identify the slope and y-intercept.
3. Graph the line
4. Identify if it is a positive or negative slope.
Can you please help me ASAP ? And explain the steps
Answers
Step-by-step explanation:
y=4/3x+4
y int =4
x int = -1
the graph is an increasing graph line that touch 4 in y and -1 in x
m=4/3
Tommy and his friend ate at a restaurant and the total bill came out to $30, so they left a tip of $6.00. What percent did they leave?
Answers
They left 20% of the total bill as a tip
Here, we want to calculate the percentage of the bill they left as a tip
Mathematically, we have this as;
\(\begin{gathered} \frac{tip}{\text{total bill}}\times100\text{ \%} \\ =\text{ }\frac{6}{30}\times\text{ 100 \%} \\ \\ =\text{ }\frac{100\text{ \%}}{5}\text{ = 20 \%} \end{gathered}\)question content area top part 1 let a1 , a2 , and b . for what value(s) of h is b in the plane spanned by a1 and a2?
Answers
The value of h for which b in the plane spanned by a1 and a2 is 11.
A vector b is in the plane spanned by two vectors a1 and a2 if it can be written as a linear combination of a1 and a2. This means that there exist scalars x and y such that:
b = xa1 + ya2
[5, 4, h] = x[1, 4, -1] + y[-6, -20, 2]
Solving for x and y, we have:
5 = x - 6y
4 = 4x - 20y
h = -x + 2y
Using the first two equations, we can solve for x and y:
x = 5 + 6y
20y + 4 = 4x = 4(5 + 6y)
20y + 4 = 20 + 24y
4y = -16
y = -16/4 = -4
Substituting this value of y back into the first equation:
x = 5 + 6y
= 5 + 6 * -4
= 5 - 24
= -19
Finally, substituting x and y into the third equation:
h = -x + 2y
= -(-19) + 2 * (-4)
= 19 - 8
= 11
So for h = 11, the vector b is in the plane spanned by a1 and a2.
--The question is incomplete, answering to the question below--
"Let a1 = [1 4 -1], a2 = [-6 -20 2], and b = [5 4 h]. For what value(s) of h is b in the plane spanned by a1 and a2?"
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use the divergence theorem to compute the net outward flux of the vector field f across the boundary of the region d, where d is the region in the first octant between the planes zxy and zxy.
Answers
The net outward flux of the vector field F = (x², -y², z²) across the boundary of the region D is 48/5.
The Divergence Theorem states that the net outward flux of a vector field across the closed surface of a region is equal to the triple integral of the divergence of the vector field over the region itself. In this case, we need to find the net outward flux across the boundary of the region D, which lies between the planes z = 4 - x - y and z = 2 - x - y.
To apply the Divergence Theorem, we first need to calculate the divergence of the vector field F. The divergence is given by ∇ · F = ∂/∂x (x²) + ∂/∂y (-y²) + ∂/∂z (z²).
Taking the partial derivatives, we get ∇ · F = 2x - 2y + 2z.
Next, we need to find the region D. In the first octant, the region D is bounded by the two planes z = 4 - x - y and z = 2 - x - y. To determine the limits of integration, we set the two planes equal to each other: 4 - x - y = 2 - x - y. Simplifying, we have x = 2.
Now, we can evaluate the triple integral of the divergence of F over the region D. Integrating with respect to x from 0 to 2, y from 0 to 2 - x, and z from 2 - x - y to 4 - x - y, we obtain the value of the net outward flux to be 48/5. Therefore, the net outward flux of the vector field F across the boundary of the region D is 48/5.
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The complete question is:
Use the Divergence Theorem to compute the net outward flux of the vector field F = (x²,-y²,z²) across the boundary of the region D, where D is the region in the first octant between the planes z = 4 -x-y and z = 2-x-y.
Describe fully the single
transformation that maps
triangle A onto triangle B
Total marks: 2
pls don’t answer if you don’t know
Answers
Answer:
The single transformation that maps triangle A onto triangle B is a reduction by a scale factor of 1/2 with the center of reduction at (1, 2)
Step-by-step explanation:
In order to locate the center of reduction from triangle A to triangle B, straight lines are drawn from the corner of triangle A to the corresponding corner of triangle B. The lines drawn will intersect at the center of reduction as shown in the attached drawing created with Microsoft Word
Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Answers
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
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Pls help me with this…
Answers
The answer is 3
The answer is 3
Use the Algebra Tiles to construct the algebraic expression for this situation:
What is this expression in simplified form?
`-4x -3 + 5x -2`
Answers
The given expression in simplified form is x - 5
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
-4x -3 + 5x -2
To simplify the expression, we collect like terms and then simplify
That is,
-4x + 5x -3 -2
= x - 5
Hence, the given expression in simplified form is x - 5
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BEG is a triangle ABC And DEF are parellell lines
Answers
Answer:
What is the question?
Step-by-step explanation:
The nurse is caring for a 6-year-old boy with mumps. Which of the following statements by the child would cause the nurse to suspect the boy is experiencing a complication of mumps?
a) "I keep coughing up mucus."
b) "Please talk a little louder."
c) "I feel wobbly when I walk."
d) "My knees are sore and stiff."
Answers
The answer to your question is:
The correct answer is b) "Please talk a little louder."
Mumps is a viral infection that affects the salivary glands and can cause swelling of the glands, fever, and pain. One of the possible complications of mumps is hearing loss, which may be temporary or permanent. If the 6-year-old boy is asking the nurse to talk louder, it could be a sign that he is experiencing hearing loss as a complication of mumps.
Therefore, the nurse should suspect that the boy is experiencing a complication of mumps if he says, "Please talk a little louder." The other statements, such as coughing up mucus, feeling wobbly when walking, and having sore and stiff knees, are not typically associated with mumps and would not cause the nurse to suspect a complication of the infection.
In conclusion, the statement that would cause the nurse to suspect the 6-year-old boy is experiencing a complication of mumps is "Please talk a little louder."
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A wheel is spun using a troque of 48Nm. What is the angular acceleration of the wheen if it has a moment of inertia of 62 kg. M2
Answers
The answer to the given question is the angular acceleration of the wheel is 0.7742 rad/s².
We can use the formula for rotational dynamics:
τ = Iα
where τ is the torque applied, I is the moment of inertia, and α is the angular acceleration.
Rearranging this equation, we get:
α = τ / I
Plugging in the given values, we have:
α = 48 Nm / 62 kg⋅m²
Simplifying, we get:
α = 0.7742 rad/s²
Rotational dynamics deals with the motion of objects that are rotating around an axis. The key concept in rotational dynamics is torque, which is a measure of how much a force can cause an object to rotate. The moment of inertia is another important quantity in rotational dynamics, and it describes an object's resistance to rotational motion. The moment of inertia depends on the distribution of mass around the axis of rotation. The angular acceleration of a rotating object is directly proportional to the torque applied and inversely proportional to the moment of inertia. Therefore, a greater torque or a smaller moment of inertia will result in a greater angular acceleration. These concepts are used in a variety of applications, from the motion of planets to the operation of engines and turbines.
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Could someone explain to me how this problem would be done and the final result of it as well?
Answers
By definitions of line segment and midpoint, we find that \(\overline{TU} \cong \overline {UV}\).
How to prove the length of two line segments created by a midpoint
In this problem we find a line segments partitioned in four parts by using midpoints, each of them are listed below:
Point U is the midpoint of line segment SW.Point T is the midpoint of line segment SU.Point V is the midpoint of line segment UW.A point within a line segment is a midpoint if and only if it partitions the line segment into two parts of equal length. If point U is the midpoint of line segment SW, then SU = UW. If point T is the midpoint of SU, then ST = TU and if point V is the midpoint of UW, then UV = VW. Finally, we get the following result by algebraic handling:
SU = UW
ST + TU = UV + VW
2 · TU = 2 · UV
TU = UV
\(\overline{TU} \cong \overline {UV}\)
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Pls. Help find these answers?!
Answers
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
help asap answer ----------------
Answers
Answer:
\(f^-^1(f(3.14))=3.14\)
\(f(f(-7))=5\)
Step-by-step explanation:
Hi there!
\(f^-^1(f(x))=x\)
Therefore, \(f^-^1(f(3.14))=3.14\)
\(f(f(-7))\)
The table tells us that f(-7) is equal to -12.
\(f(-12)\)
The table also tells us that f(-12) is equal to 5.
\(5\)
I hope this helps!
if a_1=2 and a_n=2a_n-1 find the first five terms of the sequence
Answers
Answer:
a1 = 2, a2 = 4, a3 = 8, a4 = 16, and a5 = 32
Explanation:
Given the first term and the nth term of the sequence as;
\(\begin{gathered} a_1=2 \\ a_n=2a_{n-1} \end{gathered}\)Since the first term is given already to be 2, let's go ahead and find the 2nd term;
\(\begin{gathered} a_2=2a_{2-1} \\ a_2=2a_1 \\ a_2=2\ast2 \\ \therefore a_2=4_{} \end{gathered}\)The 3rd term will be;
\(\begin{gathered} a_3=2a_{3-1} \\ =2a_2 \\ =2\ast4 \\ \therefore a_3=8 \end{gathered}\)The 4th term can be found as follows;
\(\begin{gathered} a_4=2a_{4-1} \\ =2a_3 \\ =2\ast8 \\ \therefore a_4=16 \end{gathered}\)The 5th term can found as follows;
\(\begin{gathered} a_5=2a_{5-1} \\ =2a_4 \\ =2\ast16 \\ \therefore a_5=32 \end{gathered}\)NEED HELP ASAP PLEASE
Answers
<1=58 <2=122 <3=58
PLEASE HELP FASTT!!!!!!!
In a relation, the input values can also be referred to as the_____?
Answers
Answer:
Domain
Step-by-step explanation:
Answer: the x values
Step-by-step explanation:
A chef uses a recipe with these ingredients. The chef decides to make more than 1 batch of the recipe. A 2-column table with 4 rows. Column 1 is labeled Vegetable with entries onions, celery, garlic, carrots. Column 2 is labeled Cups Used with entries 2, 1, 1, 3. If a total of 20 cups of onions and carrots were used, how many batches did the chef make
Answers
Answer:
4 batches
I got it by doing the ratio
times it
Answer:
4
Step-by-step explanation:
i did the test
what are some nice sentences to write for your math teacher
Answers
Answer:
You are the reason I'm going to college! Just the thought of you and your welcoming smile makes me feel good inside. Math became a breeze ever since you came along! Thank you for teaching me all that I know. You deserve more than I can give.
Step-by-step explanation:
My brain.
9f+ 3h if f = 9 and h = 6
Answers
9(9)+3(6)
81+18=99
Answer:
99
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
9f + 3h
f = 9
h = 6
Step 2: Evaluate
Substitute: 9(9) + 3(6)Multiply: 81 + 18Add: 99Do you know the answer~?
then please help me!!!!!!!!!!!!!!
Answers
The amount of Chemical B needed is 1.6 g.
what is graph?This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.
The quantity of Chemical B is plotted against the quantity of Chemical A.
Chemical B is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.
Therefore, on the graph, the line passing through the origin of the graph shows that when 1.4 g of Chemical A is used 1.6 g of Chemical B is needed.
Calculations:Chemical B is plotted on the vertical axis using the scale of 1 cm to represent 2 units.
To get the amount of Chemical B is on vertical axis = 2 grams
5 boxes
=0.4 g
Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).
To get the amount of Chemical B is on vertical axis = amount of Chemical B per box * the number of line (boxes).
To get the amount of Chemical B is on vertical axis = 0.4 g * 4 lines (boxes)
= 1.6 g
Hence The amount of Chemical B needed is 1.6 g.
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What is the area of the irregular polygon shown below?
18
F
3.5
18
O A. 60 sq. units
B. 86 sq. units
C. 79 sq. units
D. 100 sq. units
Answers
Answer:
Option B: 49 square units.
Step-by-step explanation:
The irregular polygon consists of a rhombus a square.
Area of rhombus = 0.5*(product of diagonals).
Area of square = length * length = l^2.
The diagonals of the rhombus measure 8 units and 6 units respectively. The diagram shows the length of half of the diagonals, so doubling both the lengths gives us the required lengths. The side of the square measures 5 units. Substituting all the information in the formula:
Total Area = Area of rhombus + Area of square.
Total Area = 0.5*8*6 + 5^2.
Total Area = 24 + 25
Total Area = 49 square units.
Option B is correct! Hope this helps! :)
Answer:
Option B: 49 square units.
Step-by-step explanation:
In which data set is the mean less than the median?
Answers
The mean salary would be higher than the median salary, indicating that the mean is greater than the median.
One example of a data set where the mean is less than the median is a skewed left distribution. In this type of distribution, the majority of the data points are concentrated towards the higher values, with a few extremely low values dragging the mean downwards. The median, on the other hand, represents the middle value of the data set, so it is less affected by the extreme values.
For instance, let's consider a data set of salaries for a group of employees. Suppose most employees earn salaries between $30,000 and $50,000 per year, but there are a few executives who earn exceptionally high salaries in the millions. In this case, the mean salary would be heavily influenced by the high salaries of the executives, resulting in a larger value. On the other hand, the median salary would be closer to the typical salary range of $30,000 to $50,000, as it represents the middle value of the data when arranged in ascending order.
Thus, in such a scenario, the mean salary would be higher than the median salary, indicating that the mean is greater than the median.
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If two sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side? Explain your answer thoroughly. if we donate the third side as c then.......
enter as a double inequality
Answers
10 <= c <= 22
James can write 6 paragraphs in 24 minutes.
Using the same unit rate, how many paragraphs can James write in 16 minutes?
Answers
Lets find out how many a minute. 3 in 12 minutes, 1 in 4 minutes, so 1/4th of a paragraph per minute.
Now 1/4 times 16 = 4. So he can write 4!
Brainliest or Heart if helpful!