Yoshi is driving across the United States. If Yoshi's map is 20 inches across, and the United States is 3,000 miles across, what is the scale of the map?
Answers
scale = map distance / actual distance
In this case, the map distance is 20 inches, and the actual distance is 3,000 miles. We need to convert these units so that they are both in the same units. Let's convert miles to inches:
1 mile = 63,360 inches (approximately)
So, 3,000 miles is equal to:
3,000 miles * 63,360 inches/mile = 190,080,000 inches
Now we can plug in the values into the formula:
scale = 20 inches / 190,080,000 inches
scale = 1 / 9,504,000
Therefore, the scale of the map is 1:9,504,000. This means that 1 inch on the map represents 9,504,000 inches (or 150 miles) in real life.
Related Questions
The circumference would ……. For example, a circle with a radius of 3 feet would have a circumference that is about 18 feet. When the radius doubles to 6 feet, the circumference is about ………. feet.
Answers
Answer:
37.7 feet
Step-by-step explanation:
The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.
For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).
When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).
In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.
Which expression is equivalent to 32x20y21z34 ?
A 16 x 18 y 19 z 32
B 16 x 10 y 10 z 17 y
C 4 x 18 y 19 z 32 2
D 4x 10 y 10 z 17 2 y
Answers
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
Answers
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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write each info entire radical √48
Answers
The value of the radical √48 is 4√3.
Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.
Here, we are given the radical √48
To find the value of the radical, we will factorize 48
i.e., 48 = 2×2×2×2×3
= 16×3
Now, the square root of 48, that is, √48
= \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)
We know 16 is a perfect square of 4, that is, the square root of 16= 4
⇒√16=4
Using this, we have √48= 4√3
The correct answer is 4√3.
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Find the average of the list of numbers.
- 13, – 25, – 24, – 14
Answers
Answer:
-19
Step-by-step explanation:
-13-25-24-14
= -76/4
= -19
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter.
Two cells are measured using this method:
Cell G: 4.21 x 10-3 centimeters
Cell H: 9.2 x 10-4 centimeters
How many times larger is the diameter of cell G than the diameter of cell H?
Write your answer in standard notation, rounding to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
The answer is 6.868 10
The number of times that diameter of cell G is larger than diameter of Cell H is; 46 × 10¯¹ times
We are given;
Diameter of Cell G = 4.21 × 10^(-3) cmDiameter of Cell H = 9.2 × 10^(-4) cmNow, to find how much more larger the diameter of cell G is than diameter of cell H, we will divide the diameter of cell G by the diameter of cell H to get;
(4.21 × 10^(-3))/(9.2 × 10^(-4)) = 4.6
Thus,diameter of cell G is 4.6 times larger than diameter of Cell H
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If you rolled two dice, what is the probability
that you would roll a sum of 6?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
second
first
1 2 3 4 5 6
1 1,1 1,2 1,3 1,4 1,5 1,6
2 2,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Enter
Answers
Answer:
\(\frac{5}{36}\)
Step-by-step explanation:
probability of desired outcome:
Number of desired outcomes/number of total outcomes
To find the numerator just count the number of times the condition is satisfied
I get 5
1,5
2,4
3,3
4,2
5,1
The number of total outcomes is just 6² or 36
So the final answer is just 5/36
The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length of the hypotenuse?
Answers
Hey there!
The length of the hypotenuse is about 11 centimeters.
To solve this, we use the formula \(a^2+b^2=c^2\), where \(c\) is the hypotenuse leg and \(a\) and \(b\) are the other sides. So we can plug the numbers in to the formula:
\(5^2 + 10^2 = c^2\)
Now we get the squares of 5 and 10:
\(25 + 100 = c^2\)
Add 25 and 100:
\(125 = c^2\)
Take the square root from both sides:
\(11.18033... = c\)
The length of the hypotenuse is about 11 centimeters.
Hope it helps and have an amazing day!
The length of Hypotenuse = 11.18 cm
What is Pythagoras Theorem?In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
Given,
In right angle ΔABC
AB = 5 cm
BC = 10 cm
AC = ?
By the Pythagoras theorem,
AC² = AB² + BC²
AC² = 5² + 10²
AC² = 25 + 125
AC = √125 = 11.18
Hence, 11.18 cm is the length of Hypotenuse AC .
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FIRST TO ANSWE GETS BRAINLIEST AND 5 STARS HELP NOW PLEASE
Chang has 2 shirts a white one and a black one. He also has 2 pairs of parts, one blue and one tan What is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show all
your work AND write your answer as a fraction, decimal, and percent.
Answers
Answer: The probability that Chang gets dressed with a white shirt and tan pants is 25%.
Step-by-step explanation:Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:
Each shirt = 50% chance Each pants = 50% chance 0.50 x 0.50 = X0.25 = X Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.
The rule for a number pattern is: Multiply each term by -1.
If the 1st term is 7, what will be the 101st term
Answers
Answer:
7
Step-by-step explanation:
Formula of a Geometric Sequence :
aₙ = arⁿ⁻¹
============================================================
Given :
⇒ a = 7
⇒ r = -1
⇒ n = 101
==========================================================
Solving :
⇒ a₁₀₁ = ar¹⁰⁰
⇒ a₁₀₁ = (7)(-1)¹⁰⁰
⇒ a₁₀₁ = 7(1)
⇒ a₁₀₁ = 7
The rule for a number pattern is: Multiply each term by -1. If the 1st term is 7, what will be the 101st term.
101 = ar¹⁰⁰101 = (7)(-1)¹⁰⁰101 = (7)1101 = 7so the 101st term is 7.
Find, if possible, the number of elements in sets A, B and C using the given information. If there is an inconsistency, state where it occurs. An B= 0, n(A n C) = 10, n(B n C) = 1, n(C - A) = 9, n(A - C) = 12, n(U) = 31
Answers
Using Venn sets, the number of elements in the sets are given as follows:
Set A: 22.Set B: 1.Set C: 19.What are the Venn Sets?For this problem, we consider that the sets A, B and C are the sets represented in the problem, and use the information given to find the number of elements in each set.
For the set A, we have that:
n(AnB) = 0n(A n C) = 10.n(A - C) = 12,Hence 12 elements belong only to set A and 10 belong to both A and C, hence set A has 22 elements.
For the set B, we have that:
n(AnB) = 0n(B n C) = 1In total, there are 31 elements, of which:
12 are only in A.9 are only in C.10 are in both.31 - 31 = 0, hence set B has only 1 element, that is also present in set C.
For the set C, we have that:
n(B n C) = 1. n(C - A) = 9.n(A n C) = 10Hence it has 10 elements that are also in set A, and 9(the intersection with B is included in C - A as n(AnB) = 0) are not, hence set C has 19 elements.
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An Airplane uses the equation y=0.28x+24 to calculate the fare y, in dollars, for a trip of x miles. What is the fare for 500-mile trip?
Answers
The fare for a 500-mile trip is 164.
What is the fare for a 500-mile trip?The equation provided in the question is known as a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.
The general form of a linear equation is:
y = mx + b
Where:
m = slope b = interceptIn the equation used to calculate the fare, y=0.28x+24, 0.28 is the variable cost and 24 is the fixed cost.
Cost of a 500-mile trip = y=0.28(500) +24
y = 140 + 24
y = 164
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Each lap around the track takes Mike 3.5 minutes to walk.
Which equation represents the relationship between the total number of laps walked, l, and the total number of minutes walked, m?
m = 3.5l
l = 3.5m
l = m + 3.5
m = l + 3.5
Answers
Answer:
m = 3.5l
Step-by-step explanation:
Answer:m=3
5l
Step-by-step explanation: I took the quiz
For the equation f(x)=1.9(0.41)*, state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
C=(Type an integer or a decimal.)
Answers
Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
Given that,
The equation f(x)=1.9(0.41)ˣ.
We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
We know that,
What is growth and decay?In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.
In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r
Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.
Consider the function f(x)=1.9(0.41)ˣ.
We write as
f(x)=1.9(1-0.59)ˣ
So, initial value C is 1.9
Decay factor =0.41
Growth factor = 0.59
Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
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-a²+7b⁴-2c³ if a= -4 b= -2c= -3
Answers
150
Explanation:
The given expression: -a²+7b⁴-2c³
if a= -4
b= -2
c= -3
= -(-4)² + 7(-2)⁴ - 2(-3)³
\(\begin{gathered} -(-4\times-4)+\text{ 7(-2}\times-2\times-2\times-2)-\text{ 2(-3}\times-3\times-3) \\ =\text{ -(16) + 7(16) -2(-27)} \\ =\text{ -16 + 112 + 54} \\ =\text{ 150} \end{gathered}\)-a²+7b⁴-2c³ = 150
Solve the equation.
5(x - 2)+x= 6(x - 3) + 8
MO
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answers
Answer: B
Step-by-step explanation:
\(5(x-2)+x=6(x-3)+8\\remove the parentheses\\5x-10+x=6x-18+8\\combine like terms \\6x-10=6x-10\\xER\)
jasmine purchases shoes for $50. The store charges her 8% sales tax on the purchase. If jasmine gives the store owner $60, how much change will she get back?
Answers
Answer:
$6
Step-by-step explanation:
50 x 1.08 = 54
60-54=6
Find the midrange for the following group of data items.
17, 14, 13, 12, 18, 15 11, 13
(Type an integer or a decimal)
Answers
29/2 = 14.5
Solve the inequality.
7(x-8) >-7
The solution is
Answers
Answer:
x>7
Step-by-step explanation:
Let's solve your inequality step-by-step.
7(x−8)>−7
Step 1: Simplify both sides of the inequality.
7x−56>−7
Step 2: Add 56 to both sides.
7x−56+56>−7+56
7x>49
Step 3: Divide both sides by 7.
and answer is x>7 your welcome:)
Answer:
x > 7
Step-by-step explanation:
7(x-8) > -7
7x -8(7) > -7
7x-56>-7
7x-56+56>-7+56
7x>49
x>7
Hope this helps!!!
if f(x)=3x-2 and g(x)=2x+1, find (f-g)(x)
A. x-3
B. 5x-3
C. 5x-1
D. 3-x
Answers
Answer:
A. x-3
Step-by-step explanation:
f(x)=3x-2 and g(x)=2x+1
(f-g)(x) = 3x-2 - (2x+1)
Distribute the minus sign
(f-g)(x) = 3x-2 - 2x-1
Combine like terms
= x -3
seven high school teachers want to schedule exams for their classes next week in such a way that no student has to take more than one exam each day. the teachers have consulted with each other, and found that their students overlap as follows:
Answers
The problem of scheduling exams for the high school students can be solved by using graph theory. We can represent the overlap of students in the form of a graph where each teacher is a node and the edges represent the students who belong to both the teachers classes.
To ensure that no student has to take more than one exam each day, we need to find a coloring of the graph such that no two adjacent nodes have the same color. This is equivalent to scheduling exams such that no two exams on the same day have any common students.
Using a greedy approach, we may overcome this issue by starting with any node and assigning it a color.. We then recursively color the neighbors of the node with a different color and so on. This algorithm will always produce a valid coloring since we are guaranteed to find a valid color for every node, given that we have not run out of colors.
In this case, we have seven teachers so we need at least seven colors. However we can find a valid coloring with fewer colors, depending on the structure of the graph. This problem can also be extended to more general situations, where we have more than one exam per day or where we have more complex constraints on the scheduling of exams.
The answer is general as no additional data is given.
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What is the missing reason in the proof?
Answers
The beginning balance in a person's savings account was 3900 dollars. After making a withdrawal of 300 dollars but earning interest of 14 dollars, what was the new balance in the account?
Balance: _____ Dollars
Answers
Answer:
The answer is 3,614. If you have 3900 dollars and withdraw ( take away) 300 you subtract, and you EARN 14, so you add.
Step-by-step explanation:
The reasoning is in the calculator picture attached
Answer this with explanation please
Answers
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5.
The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.
Answers
Option B) The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal = 1
Since the above question says that the probability of Jonas winning the race is = 0.6
And the question says that the probability of Jonas losing the race is = 0.5
If we sum up the probabilities of winning and losing,
Probability = 0.4 + 0.5
= 0.9
Hence, the above situation is not possible because the probability must be = 1.
According to the phenomenon of Probability,
Let us consider two probabilities that are
The winning probability is given = x
The Losing probability is given = y
So, x + y = 1 ( must be 1 )
Therefore, Option B) The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal = 1
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Decide whether the following statement makes sense (or clearly true) or does not make sense (or is clearly false). Explain your reasoning. The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5. Choose the correct answer below.
A. The statement makes sense because it is true that the probability of Jonas not winning the race is
B. The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.
C. The statement makes sense because the probability of Jonas winning the race will always be between 0 and 1.
D. The statement does not make sense because the probability of Jonas winning the race cannot be greater than the probability of him not winning the race.
Determine if (2, 9) is a solution to the following system. y = 3x+3 y = x+9 a Yes b No
Answers
Answer:
B)no
Step-by-step explanation:
the correct solution is (3,12)
Someone help me. I've been trying to do this one my own. But I just can't.
Answers
9514 1404 393
Answer:
1) x = 4
2) ? = 20
8) x = 5
Step-by-step explanation:
Use the applicable relationships to write an equation involving the unknown. Solve the equation.
__
1) We note that the marked arcs are the same length. In a circle, chords that subtend arcs of the same measure are the same length.
5x -1 = 4x +3
x = 4 . . . . . . . . . . add 1-4x to both sides
__
2) A tangent meets a radius at right angles. The given triangle is a right triangle, so the Pythagorean theorem applies.
12² +16² = x²
144 +256 = x² = 400
x = √400 = 20
The missing value is 20.
__
8. Tangents from the same point are the same length.
4x -8 = 12
4x = 20 . . . . . add 8
x = 5 . . . . . . . divide by 4
_____
Additional comment
In problem 2, you note the ratio of side lengths is 12 : 16 = 3 : 4. This should give you a clue that this is a 3-4-5 right triangle. The long (missing) side will be 5, scaled by the scale factor of 4, so will be 4×5 = 20.
Identify the axis of symmetry, vertex, and range for the quadratic function.
Answers
how do i solve 1-(1+.04/12)^-12x10
Answers
To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.
Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).
Step 3: Add 1 to 0.0033333 to get 1.0033333.
Step 4: Raise 1.0033333 to the power of -120.
Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.
Step 6: Subtract the value obtained in Step 5 from 1.
1 - 0.742657 = 0.257343 (approximately).
Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.
It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.
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When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest thousands to estimate the answer
Answers
Answer:
6384 is the exact answer.
6000 is the answer rounded to the nearest thousand
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
532 X 12 = 6384 rounded would be 6000 miles a yr