The question is. The Scale of the map is 0:5 in: 20 mi. Find the actual distance corresponding to the map distance. 2 in.
Answers
Answer:
Step-by-step explanation:
I think you mean 0.5 in:20 mi
2 in × (20 mi)/(0.5 in) = 80 mi
2 inches on the map corresponds to 80 miles.
8 miles is the real distance that corresponds to the 2 inch map measurement.
Scaling and actual distance on maps.We can utilize the map's scale to get the actual distance that corresponds to the 2 inch map distance.
The scale is presented as 0:5 in:20 mi, which implies that each 5 inches on the map corresponds to 20 miles in actual travel distance.
Let's establish a ratio to determine the actual distance:
5/2 = 20/x
If we cross-multiply, we obtain:
5x = 2(20)
5x = 40
When we multiply both sides by 5, we get:
x = 40 / 5
x = 8
Therefore, 8 miles is the real distance that corresponds to the 2 inch map measurement.
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Related Questions
can frequency distributions be made for both categorical and quantitative data?
Answers
Yes, frequency distributions can be made for both categorical and quantitative data.
A frequency distribution is a table that shows how often each value occurs in a data set. It is a way of summarizing data and can be used for both categorical and quantitative data.
Categorical data is data that can be divided into categories, such as gender or eye color. A frequency distribution for categorical data would show how many times each category appears in the data set.
Quantitative data is numerical data, such as height or weight. A frequency distribution for quantitative data would show how many times each numerical value appears in the data set.
In both cases, the frequency distribution helps to summarize and visualize the data in a clear and concise way.
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Three boxes each contain a different number of marbles. Box A has 70 marbles, box B has 88 marbles, and box C has 80 marbles. Marbles are to be transferred from box B to box A. What is the least number of marbles that can be transferred so box C has the most marbles?
Answers
it A
Step-by-step explanation:
The result of dividing (x3 + x2 – 22x – 40) by
(x – 5) is x2 + 6x + 8. Select all of the factor(s) of x2 + 6x + 8.
(x – 4)
(x + 4)
(x – 2)
(x + 2)
Answers
(x + 2) (x + 4)
Step-by-step explanation:
Before looking at my explanation make sure next time you are going to ask another question write the numbers that include exponents like this: x^2 instead of x2
Factor out x^2:
x + x
Factor out 6x:
Since it is in the bx form we’ll need two numbers be add so it can be equivalent to 6x
Answer: 4 and 2
Factor out 8:
4 x 2
Now start with the 8 and 6x
(? + 4) + (? + 2)
Then finish it off with x
(x + 4) (x + 2)
Answer: b and d
Step-by-step explanation:
edge21/22
Acute angle W has sin W =
O csc W =
O csc W =
○ csc W =
O csc W =
√97
√97
√97
and cot W = √
and cot W = 2
and tan W = . Which are values of csc W and cot W?
and cot W =
and cot W = ²/
Answers
The correct values are:
CSC W = 0.25 and cot W = 0
Non of the options are correct.
To determine the values of csc W and cot W given sin W = 4 and tan W = 2, we can use trigonometric identities.
We know that sin W = 4, which means that the opposite side of angle W is 4 units long, and we can calculate the hypotenuse using the Pythagorean theorem. Let's assume the adjacent side is represented by 'x':
sin W = opposite/hypotenuse
4 = 4/x
x = 4
Now, we can calculate the adjacent side:
adjacent side = √(hypotenuse^2 - opposite^2)
adjacent side = √(4^2 - 4^2)
adjacent side = √(16 - 16)
adjacent side = √0
adjacent side = 0
With the values of the opposite side (4) and adjacent side (0), we can determine the values of csc W and cot W:
csc W = 1/sin W = 1/4 = 0.25
cot W = adjacent/opposite = 0/4 = 0
Non of the options are correct.
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CAN SOMEBODY HELP
'Five less than one-fourth of a number'
Answers
Answer:
1/8,1/16,1/18,1/20
Step-by-step explanation:
Answer:
4 3/4
Step-by-step explanation:
= 5 - 1/4
= 4 4/4 - 1/4
=4 3/4
On a coordinate plane, triangle x y z has points (negative 5, 3), (negative 2, 3), (negative 2, 1). triangle x prime y prime z prime has points (5, negative 1), (5, negative 4), (3, negative 4). complete the sequence of transformations that produces △x'y'z' from △xyz. a clockwise rotation ° about the origin followed by a translation units to the right and 6 units down produces δx'y'z' from δxyz.
Answers
180° rotation rule (x, y) → (–x, –y)..
Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.
The first triangle has points X (-5, 3), Y (-2, 3), Z (2, 1).
The second triangle has points X prime (5, - 1), Y prime (5, - 4), Z prime
(3, - 4).
Here the sign of both coordinates has been changed but the magnitude remains same.
So, the rule is (x, y) → (–x, –y) which is for 180° rotation.
Hence, the 180° rotation rule (x, y) → (–x, –y).
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on the main floor of the Kodak halll at the easement they're the number of seats per row increase at a constant rate Steven counts 31 Seaton Rd. three and 37 Seaton Rd. six how many seats are there in a row 20
Answers
65 seats in 20th row.
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.
Given,
No. of seats in 3rd row = 31
No. of seats in 6th row = 37
Seats increase at a constant rate
Let k is the rate of increment.
Difference between no. of seats = k × difference between no. of rows
Difference of seats in 3rd and 6th rows = k difference between the no. of rows
37 - 31 = k ×(6-3)
6 = 3k
k = 2
Thus, we can determine
Difference between the no. of seats is twice the difference between the no. of rows.
Difference between 6th and 20th row = 14 rows
Hence the difference between number of seats = 2 × 14 = 28 seats.
No. of seats in 20th row = No. of seats in 6th row + 28 seats
No. of seats in 20th row = 37 + 28 = 65
Hence, there will be 65 seats in 20th row.
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Every year, Johnathan the lumberjack cuts down all the trees on his farm. He finds that %60 of the trees die, but the rest grow again from the stumps that remain. What percent of the original trees are still alive after 3 years?
Answers
After answering the presented question, we can conclude that As a equation result, approximately 44.4% of the original trees are still living after three years.
What is equation?An equation is a mathematical statement that proves the equality of two expressions connected by the equal symbol '='. 2x - 5 Equals 13, for example. Expressions include 2x-5 and 13. The character '=' joins the two expressions. A mathematical formula with two algebraic expressions on either side of an equal sign (=) is known as an equation. It demonstrates the relationship of equivalence between the left and right formulas. In every formula, LHS = RHS (left side = right side).
Assuming that all of the trees on the farm are cut down each year, the percentage of trees that survive after three years is as follows:
60% of the trees die after the first year, leaving only 40% of the original trees.
Following the first year, 40% of the original trees are still standing.
Following the second year, 40% of the original trees remain + (40% of the original trees * 100% - 60% = 40% stump growth) = 64% of the original trees remain.
Following the third year, 40% of the original trees remain + (64% of the original trees * 100% - 60% = 4.4% stump growth) = 44.4% of the original trees remain.
As a result, approximately 44.4% of the original trees are still living after three years.
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Bryson's Dad is 38 years old. If this is four years than three times Bryson's age, how old is Bryson?
Answers
The age of Bryson today is 11 1/3 years
How to determine the age of Bryson today?From the question, we have the following mathematical statements:
Bryson's dad age = 38
Bryson's dad age = 4 + 3 * Bryson's age
Represent Bryson's age with x
So, we have the following equation
Bryson's dad age = 38
Bryson's dad age = 4 + 3x
substitute the known values in the above equation, so, we have the following representation
4 + 3x = 38
Evaluatet the like terms
3x = 34
Divide by 3
x = 11 1/3 years
Hence, Bryson's age as per the mathematical statement is 11 1/3 years
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Find where the graphs intersect; f(x)=2x+3 and g(x)=-0.5x+7
Answers
Step 1
Given
\(\begin{gathered} f(x)=\text{ 2x+3} \\ g(x)\text{ = -0.5x+7} \end{gathered}\)Required: To find where the graph of both functions intersect. In other words the find the value of x and hence f(x) and g(x).
Step 2
Solve both equations simultaneously.
\(\begin{gathered} we\text{ will take f(x) and g(x) = y, so that} \\ y=2x+3\text{ -----(1)} \\ y=-0.5x+7----(2) \\ \end{gathered}\)Subtract equation 2 from 1
Hence,
\(\begin{gathered} 4=\text{ 2.5x} \\ \frac{4}{2.5}=\frac{2.5x}{2.5} \\ x\text{ = 1.6} \end{gathered}\)Step 3
Check
\(\begin{gathered} f(x)\text{ = 2x+3} \\ f(1.6)=\text{ 2(1.6) + 3 = 6.2} \\ g(x)=\text{ -0.5x+7} \\ g(1.6)=\text{ -0.5(1.6) +7 = 6.2} \\ \text{since the check gave us the same values, x = 1.6} \\ \text{And the coordinate point of the solution will be ( 1.6, 6.2)} \end{gathered}\)Hence the graph intersects at the point where x = 1.6 and y =6.2. Remember y = f(x) and g(x)
The sum of the ages of Bailey and Celine is x years. If Celine is 8 years older than Bailey, how many years old will Celine be x years from now, in terms of x
Answers
Step-by-step explanation:
b = age of Bailey
c = age of Celine
b + c = x
c = b + 8
so, using that identity in the first equation
b + b + 8 = x
2b + 8 = x
or, to go "after" c (Celine) :
b = c - 8
c - 8 + c = x
2c - 8 = x
2c = x + 8
c = (x + 8)/2
in x years c will have increased to c+x, and b to b+x.
so,
b + x + c + x = x + 2x = 3x
and
2c - 8 = 3x
2c = 3x + 8
c = (3x + 8)/2
PLEASE ANSWER ASAP AND ILL MARK YOU BRANLIEST!!!
Answers
What kind of angles are
<1 and <2?
Answers
Answer:
<1 and <2 are vertical angles.
Step-by-step explanation:
Since they are the same measurements, and are on opposite sides, that makes them vertical angles.
5of2-{84÷6(8-5+4)}÷2
Answers
Answer: -235
I hope this helps you!
A recipe for corn chowder requires 62 fluid ounces of heavy cream. diana has 1 quarts of heavy cream. 3 4 how many more fluid ounces of heavy cream does diana need for the corn chowder recipe?
Answers
30 fluids ounce of heavy cream does Diana need for the corn chowder recipe.
What is Unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given:
Amount of heavy cream required = 62 fluids ounce
as, 1 quarts = 32 fluids ounce
But we require 62 fluids ounce, then we require
=62-32
=30 fluids ounce
Hence, 30 fluids ounce of heavy cream does Diana need for the corn chowder recipe.
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Which Equation has a constant of proportionality equal to 4?
Answers
Answer:
D) 3y = 12x
Step-by-step explanation:
1. To find the constant of proportionality, k, we need to convert each equation into the form of y = kx.
A:
\(\frac{4y}{4} = \frac{4x}{4}\) \(y = x\) The constant of proportionality for this equation is 1, not 4, so this is incorrect.B:
\(\frac{4y}{4} = \frac{12x}{4}\) \(y = 3x\) The constant of proportionality of this equation is 3, not 4, so this is incorrect.C:
\(\frac{3y}{3} = \frac{4x}{3}\) \(y = \frac{4}{3}x\) The constant of proportionality of this equation is 4/3, not 4, so this is incorrect.D:
\(\frac{3y}{3}= \frac{12x}{3}\) \(y = 4x\) The constant of proportionality of this equation is 4, so this is correct.Therefore, the answer is D) 3y = 12x.
Como expresar este ejercisio por cada 6 cuadrados hay 3 círculos.
Answers
The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:
Ratio FormProportional statement Equation form How to express the exercise ?This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.
The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.
You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.
There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.
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The translated question is:
How to express this exercise for every 6 squares there are 3 circles.
List the proper subsets of the following set.
T = {plates, napkins, spoons}
Answers
The proper Subsets of the set T = {plates, napkins, spoons} are: {plates}, {napkins}, {spoons}, {plates, napkins}, {napkins, spoons}, {plates, spoons}, and {}.
A proper subset is a subset that is not equal to the original set. In other words, a proper subset contains fewer elements than the original set.
The set T = {plates, napkins, spoons} has the following proper subsets:
1. {plates}
This subset contains only the element "plates" from the original set.
2. {napkins}
This subset contains only the element "napkins" from the original set.
3. {spoons}
This subset contains only the element "spoons" from the original set.
4. {plates, napkins}
This subset contains both "plates" and "napkins" from the original set.
5. {napkins, spoons}
This subset contains both "napkins" and "spoons" from the original set.
6. {plates, spoons}
This subset contains both "plates" and "spoons" from the original set.
7. {}
This is the empty set, which is a subset of every set, including the original set T.
Note: The original set T itself is not considered a proper subset because it is equal to the set T.
In summary, the proper subsets of the set T = {plates, napkins, spoons} are: {plates}, {napkins}, {spoons}, {plates, napkins}, {napkins, spoons}, {plates, spoons}, and {}.
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Round 0.006772 to 1 significant figures.
Answers
Answer:0.007
Step-by-step explanation: the number after 6 is more than half of ten,therefore it is added to 6 as 1.To leave you with one significant figure.
0 is insignificant
Select all that are like terms to 5a5b4.
Answers
Answer:
All the terms would be 5a, 5b, and 4
Step-by-step explanation:
All you have to do is separate all each one from the other
Find the area of a circle with radius,
r = 5.68m.
Give your answer rounded to 2 DP.
Answers
Answer:
101.35
Step-by-step explanation:
pir^2
pi5.68^2
32.2624
pi(32.2624)
about 101.355
find the range of the function f(x)
Answers
Answer:
62
Step-by-step explanation:
x2 a 4 - 91
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Write the equation of the line passing through the points (-7,9) and (7,5).
Answers
Answer:
\(y=-\frac{2}{7} x+7\)
Step-by-step explanation:
First Solve For The Slope Using The Two Given Points!
M = Slope
M = \(\frac{y2-y1}{x2-x1}\)
M = \(\frac{5-9}{7--7}\) Two negative signs together makes addition!
M = \(\frac{-4}{14}\) Move the negative sign (only if the fraction has a negative)
M = \(-\frac{4}{14}\) Simplify
M = \(-\frac{2}{7}\) Final Answer
Then see how many units the graph goes up = y-intercept
Answer: 7
answer these questions please
Answers
11. The area difference between them is 96 square units (192 - 96).
12. The trough stands 4 feet tall.
How to calculate areas?11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).
12. Let the height of the trough be h. The volume of the trough is given by the formula:
Volume = base area x height
Substituting the given values:
96 = 24h
Dividing both sides by 24:
h = 4
Therefore, the trough is 4 feet tall.
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1- what inference rule is illustrated by the argument given? if paul is a good swimmer, then he is a good runner. if paul is a good runner, then he is a good biker. therefore if paul is a good swimmer, then he is a good biker. 2- decide the conclusion if any can reached. either the weather will turn bad or we will leave on time. if the weather turns bad, then the flight will be canceled.
Answers
1. The inference rule illustrated by the argument is the transitive property.
2. Based on the given information, the conclusion that can be reached is: If the weather turns bad, then the flight will be canceled.
1. The inference rule illustrated by the argument is the transitive property. It states that if a condition is true for one element, and that element implies another element, then the condition is also true for the second element.
In this case, the argument is using the transitive property to conclude that if Paul is a good swimmer (first element), and being a good swimmer implies being a good runner (second element), then Paul is also a good biker (third element).
2. Based on the given information, the conclusion that can be reached is: If the weather turns bad, then the flight will be canceled. This conclusion is derived from the statement "either the weather will turn bad or we will leave on time" and the fact that the flight will be canceled if the weather turns bad.
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65% of the workers at Costco have a pet dog. If there are about 162 workers who have a dog, how many Costco employees are there in total? Write a proportion for this situation and solve.
Answers
Answer:
249 (249.23)
Step-by-step explanation:
Let the total number of employees be denoted by x
According to the question
65% of x = 162
(65/100) * x = 162
(65x)/100 = 162
65 x = 162 * 100
65 x = 16200
x = 16200/65
x = 249.23
therefore total number of employees = 249 (you can't count people in fraction so omit the digits after the decimal)
Comparing Ratios from Tables
Squares
5
10
Squares
10
20
Table A
Table B
Circles
3
6
Circles
3
9
Which statement is true about the ratios of squares to
circles in the tables?
The ratios in Table A are greater than the ratios in
Table B.
The ratios in Table B are greater than the ratios in
Table A.
Only some of the ratios in Table A are greater than
the ratios in Table B.
The ratios in Table A are equal to the ratios in Table
B.
Answers
We can conclude that only some of the ratios in Table A are greater than the ratios in Table B. (option-c)
To compare the ratios of squares to circles in the tables, we must divide the value in the Squares column by the value in the Circles column for each row in the table.
For Table A, the ratios of squares to circles are:
5/3 = 1.67
10/6 = 1.67
For Table B, the ratios of squares to circles are:
10/3 = 3.33
20/9 = 2.22
Comparing the ratios in Table A to the ratios in Table B, we see that the first two ratios are equal (1.67) and the last two ratios are different (3.33 in Table B is greater than 1.67 in Table A, and 2.22 in Table B is less than 1.67 in Table A).
Specifically, the ratio in the second row of Table B is greater than both ratios in Table A, but the ratios in the first row of each table are equal.(option-c)
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When results from a scholastic assessment test are sent to test-takers, the percentiles associated with their scores are also given. Suppose a test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade. Interpret these results. O A. This student performed better than 32% of the other test-takers in the verbal part and better than 73% in the quantitative part. OB. This student performed better than 32% of the other test-takers in the verbal part and better than 27% in the quantitative part. O C. This student performed better than 68% of the other test-takers in the verbal part and better than 73% in the quantitative part. OD. This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.
Answers
This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.
Given,
Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .
Now,
68% percentile : 68% scores equal or less .
27% percentile : 27^ scored equal or less .
Thus option D
This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .
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Write the explicit
rule for the nth term.
Then find the 112th term.
{15, 5, -5, -15...}
Answers
Answer:
I believe the answer is 121.
Step-by-step explanation:
Formula: (a)n = a + (n - 1)d
(a)n = nth Term of the Sequence
a = First Term in the Sequence
d = Common Difference
112th = 15 + (112 - 1)-5
112th = 15 + 111 - 5
112th = 121
Answer:
Step-by-step explanation:
{ 15, 5, -5, -15...}
the rule is
\(a_{1} = 15, a_{n} = a_{n-1} -10\)
the 112th term
\(a_{112} = a_{1} + (n-1) *d\\\\a_{112} = 15 + (112 -1) * (-10)\\\\a_{112} = 15 - 1110\\\\a_{112} = -1095\)
7)
The first floor of the Willis Tower is 21 feet high. Each additional floor is 12 feet high.
a
Write an equation for the nth floor of the tower.
b.
Find the height of the 65th floor.
Answers
Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
21, 33, 45...
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as \(T_n = a + (n-1)d\)
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;
\(T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n\)
Hence the equation for the nth floor of the tower is expressed as \(T_n = 9+12n\)
b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)
\(T_n = 9+12n\\T_{65} = 9 + 12(65)\\T_{65} = 9+780\\T_{65} = 789 ft\)
Hence the height of the 65th floor is 789feets.