PLZ HELP! I will give brainliest! A theater can hold 160 giants or 240 elves. If 100 giants are inside, how many elves can also go into the theater?
Answer:
150
Step-by-step explanation:
100 : 160 :: e : 240 proportion
160e = (100)(240)
160e = 24000
elves = 150
Answer:
150
Step-by-step explanation:
100 : 160 :: e : 240
160e = (100)(240)
160e = 24000
elves = 150
Consider the numbers 4 and 6. What is the sum of their least common multiple and their greatest common factor?
The sum of their least common multiple and their greatest common factor is 15
How do you find the LCM and GCD?As per the LCM method, we can obtain the GCD of any two positive integers by finding the product of both the numbers and the least common multiple of both numbers. LCM method to obtain the greatest common divisor is given as GCD (a, b) = (a × b)/ LCM (a, b).
Given here: The numbers (4,6) and LCM of the two numbers are
LCM(4,6)=12 and GCD(4,6)=3
As per the LCM method, we can obtain the GCD of any two positive integers by finding the product of both the numbers and the least common multiple of both numbers. LCM method to obtain the greatest common divisor is given as GCD (a, b) = (a × b)/ LCM (a, b).
The sum of the LCM and GCD is = 12+3
=15
Hence, The required sum is 15
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Solve the absolute value equations algebraically
|m+4|+7=11
Answer:
m=0,-8
Step-by-step explanation:
Rearrange this Absolute Value Equation
|m+4|+7 = 11
Another term is moved / added to the right hand side.
|m+4| = 4 STEP 2:
Clear the Absolute Value Bars
The Absolute Value term is |m+4|
For the Negative case we'll use -(m+4)
For the Positive case we'll use (m+4)
STEP3:Solve the Negative Case
-(m+4) = 4
Multiply
-m-4 = 4
Rearrange and Add up
-m = 8 Multiply both sides by (-1)
m = -8
Which is the solution for the Negative Case
STEP4:Solve the Positive Case
(m+4) = 4
Rearrange and Add up
m = 0
Which is the solution for the Positive Case
STEP5:
Wrap up the solution
m=-8
m=0
Solutions on the Number Line
Two solutions were found :
m=0,M=-8
4. Find the coordinates of the center and the measure of the diameter for a circle whose equation is
(x+4)² + (y + 5)² = 64
The general equation of a circle is (x-h)² + (y-k)² = r²
Where,
(h,k) = center of circler = radiusHere we are given the equation (x+4)² + (y+5)² = 64 and given this we are asked to find the diameter as well as the coordinates of the center.
Finding the coordinates of the center and diameter.Finding the center
If (h,k) = center, then the coordinates of the center are the given values of h and k but negative. This is because the values are being subtracted from x and y. (x-h)² + (y-k)² = r²
This means that, (x+4)² + (y+5)² = 64 is the same as saying (x-(-4))² + (y-(-5))² = 64 based off of the general equation of a circle.
Notice how the plugged in values are negative rather than positive.
In conclusion, we can say that the center is at (-4,-5) (see attached image below to check answer)
In the equation, 64 takes the place of r²
So r² = 64
Taking the square root of both sides we get r = 8
So the radius is 8.
To convert to diameter we multiply by 2
So diameter = 8 * 2 = 16
In conclusion, a circle with the equation (x+4)² + (y + 5)² = 64, has a center at (-4,-5) and a diameter of 16
Which of the following triangles describes AA similarity?
The triangles AEB and DEC describes AA similarity .
What is AA Similarity ?
Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .
In the question ,
a figure is given .
in triangle AEB and triangle DEC ,
we can see that ,
∠AEB ≅ ∠DEC , because they are vertically opposite angles .
On rotating triangle CED by 180° around the point E, then the translate point D to point A confirms ∠EAB ≅ ∠EDC.
Since two angles are Congruent
So , By AA Similarity , triangles AEB and DEC are Congruent .
Therefore , the triangles AEB and DEC are Congruent .
The given question is incomplete , the complete question is
Which of the following triangles in the given figure describes AA similarity ?
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Find the area of the square whose length is 3.5 inches?
Answer:
\(12.25\)
Step-by-step explanation:
Area of square is
\( {s}^{2} \)
where s is the side length.
3.5 is s so the answer is
\(3.5 {}^{2} = 12.25\)
Answer:
Area = 12.25 square inches
Step-by-step explanation:
\(Given \ length \ of \ a \ side \ of \ the \ square = 3.5 \ inches \\ \\Area \ of \ a \sqaure \ = side \times side = 3. 5 \times 3.5 = 12.25 \ in^2\)
what is the output of , y=5x-3 when x is 5
Answer:
The output is 22
Step-by-step explanation:
So, you are going to want to plug in 5 for x, therefore-
y = 5(5) - 3
Solve from there
y = 25 - 3
y = 22
Answer:
x = 5 and y = 22
Step-by-step explanation:
y = 5 x − 3
y = ( 5 ) ( 5 ) − 3
y = 22
Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?
The NPV is positive, it is worth taking the Investment.
Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.
This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:
NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.
The given problem can be solved by using the following steps:
Calculate the present value (PV) of the expected cash inflows:
Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82
Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39
Since the NPV is positive, it is worth taking the investment.
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The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?
No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.
Answer:
No adda doesnt get free delivery
Step-by-step explanation:
Answer: A) No, the distance from the restaurant to Ada’s house is Square Root of 41 miles, which is greater than the 6-mile maximum radius.
Step-by-step explanation:
Instructions
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Part 1: Writing Expressions
Each partner completes Part 1 on his or her own.
Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
Translate the algebraic expression you created in Question 1 to a verbal expression.
Swap! Send your algebraic expression from Question 1 to your partner.
Part 2: Writing Equivalent Expressions
Collaborate with your partner and complete this Part 2 together.
Choose and use two mathematical properties (the commutative property, combining like terms, or the distributive property) to create one equivalent algebraic expression for the expression your partner sent to you. Explain how you arrived at the equivalent expression by showing all your steps and stating which properties you used.
Swap! Send the equivalent algebraic expression and mathematical proof back to your partner.
Pick a number from 1 to 10. Use that number to verify the two expressions (the original and the one from your partner from Question 3) are equivalent by substituting it into both expressions. Show all your work for complete credit.
Part 3: Finish the Story
Each partner completes Part 3 on his or her own.
Write a few sentences to end Sarah’s story. How many shark teeth did Sarah find? How many shark teeth did John find? How much money did Sarah earn?
Sarah found three shark teeth and decided to share the opportunity with her friend John. She can find shark teeth twice as fast as John and can earn even more money with his help.
Sarah can earn $5 for every shark tooth she finds on the beach. She can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Part 1:
Sarah's expression is 5(2j + 3 + j). If we replace the coefficients with 4, the expression becomes 4(2j + 3 + j), which is not equivalent to Sarah's expression.
The algebraic expression we created is 4(2j + 3 + j), which translates to "Sarah can earn $4 for every shark tooth she finds on the beach, and she can find shark teeth twice as fast as John."
Part 2:
We can use the distributive property to create an equivalent algebraic expression for the expression our partner sent us. Let's assume our partner sent us the expression 3(4j + 2 + 2j).
Step 1: Distribute the coefficient 3 to the terms inside the parentheses.
3(4j) + 3(2) + 3(2j)
Step 2: Combine like terms.
12j + 6 + 6j
Step 3: Rearrange the terms.
18j + 6
The equivalent algebraic expression is 18j + 6, and we used the distributive property to arrive at this expression.
Part 3:
Sarah found three shark teeth, and John found 1.5 shark teeth. Since Sarah can find shark teeth twice as fast as John, she earned $45 (9 shark teeth x $5 per shark tooth), and John earned $22.50 (4.5 shark teeth x $5 per shark tooth). In total, Sarah earned $67.50.
Thus, Sarah found three shark teeth and decided to share the opportunity with her friend John. She can find shark teeth twice as fast as John and can earn even more money with his help.
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7 divided by 5 equals
Answer: 1.4
Step-by-step explanation:
which subshell (for example, 1s) is designated by each set of quantum numbers below?
The subshell designated by each set of quantum numbers is as follows:
a) n=3, l=1 -> 3p subshell
b) n=4, l=2 -> 4d subshell
c) n=2, l=0 -> 2s subshell
d) n=5, l=3 -> 5f subshell
In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.
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Which number is the greatest?
Select one:
10/3
7/2
9/4
17/8
Answer:
7/2
Step-by-step explanation:
Firstly lets put them all in common denominators (LCM) 3,2,4 and 8 re all divided by 24.
17/8 x 3/3 = 51/24
7/2 x 12/12 = 84/24
9/4 x 6/6=54/24
10/3 x 8/8= 80/24
Now lets see which one is greatest: 7/2 or 84/24
Hope this helps :D
Answer:
7/2
Step-by-step explanation:
10/3 = 3.333
7/2 = 3.500
9/4 = 2.250
17/8 = 2.125
Calculate the measures of variability for the data set. The range is
giving 5 stars to the correct one
Answer:
381.92 cm
Step-by-step explanation:
who's dekus dad? mha theories
whos the UA traitor?
this is totally math...lol
Answer: todoroki and bakugou
Step-by-step explanation:
because you know thats his baby daddys
calculate x in the diagram
please help
Answer:
\(\frac{x}{x+(x-2)}\) = \(\frac{10}{16}\)
\(\frac{x}{2x-2}\) = \(\frac{5}{8}\)
5(2x-2) = 8x
10x - 10 = 8x
2x = 10
x = 5
Besides being simple for its own sake, what other advantage do simple models usually have?
a) Higher accuracy
b) Greater complexity
c) Easier interpretation
d) More detailed predictions
The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.
This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.
Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.
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Which fraction is equivalent to 4%? A. one over fifty B. two over twenty five C. one over twenty five
Answer:c
Step-by-step explanation:
4 % = 4/100
Simplify the fraction.
4/100 = 1/25
PLEASE HELP:
What translation vector translates A(−2,7) to A′(5,−1)?
A. (3,-6)
B. (7,-8)
C. (3,6)
D. (-7,8)
Answer:
A=(4−10,−7+5)=(−6,−2)
Answer:
B. (7,-8)
Step-by-step explanation:
mitchels room measures 10 inches by 6 inches on a scale drawing. what are the actual measermets of his room (in feet) of he uses a scale of 1 to 24?
width height
Answer:
20 ft by 12 ft
Step-by-step explanation:
(10 in x 24) / 12 ft = (240 in / 12 ft) = 20 ft
(6 in x 24) / 12 ft = (144 in / 12 ft) = 12 ft
2.A truck driver maintains a constant speed of 65 miles per hour on a stretch of highway that lasts 130 miles. Graph the remaining distance as a function of the time driven in hours.(1 point)
a.The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line segment starts at left parenthesis 0 comma 130 right parenthesis, passes through left parenthesis 1 comma 65 right parenthesis, and ends at left parenthesis 2 comma 0 right parenthesis.
b.The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line starts at left parenthesis 2 comma 0 right parenthesis, and passes through left parenthesis 3 comma 65 right parenthesis and left parenthesis 4 comma 130 right parenthesis.
c.The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line starts at left parenthesis 0 comma 0 right parenthesis, and passes through left parenthesis 1 comma 65 right parenthesis and left parenthesis 2 comma 130 right parenthesis.
d.The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line segment starts at left parenthesis 0 comma 130 right parenthesis, passes through left parenthesis 2 comma 65 right parenthesis, and ends at left parenthesis 4 comma 0 right parenthesis.
3.Tayson walked for 8 minutes before running n laps around a track. Tayson takes 1 minute and 45 seconds to run each lap. What is the graph of the function that relates the amount of time, T, in minutes Tayson walked or ran after running n laps?(1 point)
A.A function is graphed on a first quadrant coordinate plane. The horizontal axis labeled Laps goes from 0 to 10 in increments of 1. The vertical axis labeled Time in minutes goes from 0 to 35 in increments of 1. A line starts at (0, 5) and passes through (2, 17) and (5, 35).
B.A function is graphed on a first quadrant coordinate plane. The horizontal axis labeled Laps goes from 0 to 10 in increments of 1. The vertical axis labeled Time in minutes goes from 0 to 35 in increments of 1. A line starts at (0, 8), and passes through (4, 11) and (8, 14).
C.A function is graphed on a first quadrant coordinate plane. The horizontal axis labeled Laps goes from 0 to 10 in increments of 1. The vertical axis labeled Time in minutes goes from 0 to 35 in increments of 1. A line starts at (0, 8), and passes through (4, 15).
D.A function is graphed on a first quadrant coordinate plane. The horizontal axis labeled Laps goes from 0 to 10 in increments of 1. The vertical axis labeled Time in minutes goes from 0 to 35 in increments of 1. A line starts at (0, 1.75), and passes through (1, 9.75). All coordinates are approximate.
4.Function f(x) has a slope of 32 and a y-intercept of 6. Explain how the graph of f(x) could be used to find the x-intercept.(1 point)
A.Find the x-coordinate of the point that crosses the x-axis. The x-intercept is −4.
B.Find the y-coordinate of the point where x=1. The x-intercept is 152.
C.Use the value of riserun for the function, which is 32.
D.Find the y-coordinate of the point that crosses the y-axis. The x-intercept is 6.
Answer:
The correct option is;
c. The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line starts at left parenthesis (0, 0), and passes through (1, 65) and (2, 130)
Step-by-step explanation:
The given parameters are;
The speed of the truck = 65 miles per hour
The length of the highway = 130 miles
Therefore, from the given information, we have;
The time, t, it will take the truck to arrive at the end of the highway is given as follows;
Time = Distance/speed = 130/65 = 2 hours
Therefore, if the truck timing starts from the point (0, 0), we have;
The points on the straight line (constant) speed graph are;
(0, 0), (1, 65), and (2, 130)
Answer:
C
Step-by-step explanation:
Place the digits 1 through 9 in the nine
squares to form a correct addition. Can
this be done in more than one way?
Answer:
There lots of possible ways: here are some answers
219 + 348 = 567
218 + 349 = 567
129 + 357 = 486
127 + 359 = 486
271 + 593 =864
128 + 367 = 495
281 + 673 = 954
127 + 368 = 495
271 + 683 = 954
there are more answers....
Hope this helps
Calculate the area and perimeter plz help
Answer:
Figure 1:
Area: 30m^2
Perimeter: 23.6m
Figure 2:
Area: 98.8km^2
Perimeter:56.5km
Step-by-step explanation:
Area is base x height.
To get the perimeter, add up all the sides.
Figure 1:
Area:
6x5=30m^2
Perimeter: 6+5.8+6+5.8=23.6m
Figure 2:
Area:
7.6x13 = 98.8km^2
Perimeter:7.6+15+20+13.9=56.5km
1,100,300 in written in words please!
Answer:
one million one hundred thousand three hundred
AB=10,BC=6. What is AC
Answer:
16
Step-by-step explanation:
adding any two sides of a triangle is allways greater than the third side.
help me please please
Answer:
192
Step-by-step explanation:
V= S.h = (6×8/2)× 8 = 192
Find the value of x. Round to the nearest tenth.
Answer:
90 hope this helps
Step-by-step explanation:
Circle all the true equations
A. 5+0=0
B. 15 x 0=0
C. 1.4+2.7=4.1
D. 2/3 x 5/9= 7/12
E. 4 2/3 = 5- 1/3
A brick layer has 20 stacks with an equal number of bricks on them. If the total weight of all the bricks is 3,264 pounds, how much does each stack of bricks weigh?
A.
162.1 pounds
B.
164.1 pounds
C.
162.2 pounds
D.
163.2 pounds
each stack of bricks weighs 163.2 pounds. So the answer is D) 163.2 pounds. we need to form equation to solve this
what is equation ?
An equation is a mathematical statement that shows the equality between two expressions. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), that are separated by an equal sign (=). An equation tells us that the expressions on both sides have the same value or are equivalent.
In the given question,
If there are 20 stacks with an equal number of bricks on them, let's call the number of bricks on each stack "x". Then the total number of bricks is:
total number of bricks = 20 stacks × x bricks/stack = 20x bricks
We are also told that the total weight of all the bricks is 3,264 pounds. Let's call the weight of each brick "w". Then the total weight is:
total weight = number of bricks × weight per brick = (20x) bricks × w pounds/brick
We want to find the weight of each stack of bricks, which is equal to the weight of a certain number of bricks. Let's call this weight "s". Then we have:
s pounds/stack = x bricks/stack × w pounds/brick
We can solve for "s" by using the two equations above:
total weight = (20x) bricks × w pounds/brick = 3,264 pounds
s pounds/stack = x bricks/stack × w pounds/brick
Dividing the first equation by 20x, we get:
w pounds/brick = 3,264 pounds ÷ (20x) bricks/stack = 163.2 pounds/stack
Substituting this into the second equation, we get:
s pounds/stack = x bricks/stack × 163.2 pounds/stack
Dividing both sides by x, we get:
s pounds/stack ÷ x bricks/stack = 163.2 pounds/stack
Simplifying, we get:
s pounds/brick = 163.2 pounds/stack
Therefore, each stack of bricks weighs 163.2 pounds.
So the answer is D) 163.2 pounds.
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