The distance between City A and City B is 2700 miles. On a certain wall map, this distance is represented by 9 inches. The actual distance between City C and City D is 4100 miles. How far apart are they on the same map?
Answers
The distance between City C and City D is represented by 13.67 inches on a certain wall map.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Let x inches would be far apart are they on the same map
We can write this as a ratio as
As per the given information,
9 inches : 2700 miles = x inches : 4100 miles
⇒ 9/2700 = x/4100
⇒ x = (4100×9)/2700
⇒ x = 13.67 inches
Therefore, on a certain wall map, the distance between City C and City D is represented by 13.67 inches.
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Related Questions
A pipe has a diameter of 2.5 inches. Insulation that is 0.5 inch thick is placed around the pipe. What is the diameter of the pipe with the insulation around it?
Answers
Answer:
So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.
Step-by-step explanation:
To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:
C = 2 * π * r
Where:
· C = circumference of the pipe
· π = the mathematical constant approximately equal to 3.14
· r = the radius of the pipe
Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:
r = 2.5 inches + 0.5 inch = 3 inches
Plugging in the values:
C = 2 * π * 3
C = 6.28 * 3
C = 18.84 inches
Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.
INSTRUCTIONS: JCTIONS: e slope of the line er it here:m=1/3 Find the slope of the line and enter it here: 4 ey-intercept of & enter it Find the y-intercept of the line & enter it here: Write the equation of the line in form y=mx+b + he equation of in form y=mx +b /3x + 2 30 म
Answers
The equation of a line in the slope intercept form is expressed as
y = mx + b
where
m represents slope
b represents y intercept
The formula for finding slope is
m = (y2 - y1)/(x2 - x1)
From the graph,
When x1 = 1, y1 = - 2
when x2 = 2, y = 1
Slope = (1 - - 2)/(2 - 1) = 3/1
Slope = 3
The y intercept is the value of y at the point where the line cuts through the y axis. Thus, y intercept = - 5
To write the equation of the line, we would substitute m = 3 and b = - 5 into the slope intercept equation. Thus, the equation of the line is
y = 3x - 5
The rectangle below has an area of x^2
-114square meters and a length of x+12metters
Answers
Given that,
The area of the rectangle, \(A=x^2-114\)
Length of the rectangle, \(l=x+12\ m\)
To find,
The width of the rectangle.
Solution,
The formula for the area of a rectangle is given by :
A = lb
b is width of the rectangle
\(b=\dfrac{A}{l}\\\\b=\dfrac{x^2-114}{x+12}\\\\b=\dfrac{x^2-12^2}{x+12}\\\\b=\dfrac{(x-12)(x+12)}{(x+12)}\\\\=(x-12)\ m\)
So, the width of the rectangle is (x-12) m.
In the diagram RT is tangent at s. If the measure of SVU is 138 what is m
Answers
Answer:
D 111
Step-by-step explanation:
Answer:
D. \(111\degree \)
Step-by-step explanation:
By tangent secant theorem:
\( m\angle TSU=\frac{1}{2}(360\degree - 138\degree) \)
\( m\angle TSU=\frac{1}{2}\times 222\degree \)
\( m\angle TSU=111\degree \)
A contestant on a game show wins $100 for answering
a question correctly in Round 1. In each subsequent
round, the contestant's winnings are doubled if she
gives a correct answer. If the contestant gives an
incorrect answer, she loses everything. Use this
information for Items 21-23.
21. Write an explicit formula that gives
the
contestant's winnings in round n, assuming she
answers all questions correctly.
22. How much does the contestant win in Round 10,
assuming she answers all questions correctly?
23. How many rounds does a contestant need to play
in order to answer a question worth at least
$1,000,000?
Answers
Answer:
21. An= 100 (2)^n-1
22. $51,200
23. n= 15
Step-by-step explanation:
21. 100, 200, 400, 800, 1600...
An= A r ^n-1
22. a10= 100(2)^10-1
a10= 100(2)^9
23. n=14
a14= 100(2)^14-1= 819200
n= 15
a15= 100(2)^15-1= 1638400
7/18 - 1/3 , 1/2 - 1/5 - 1/10 and 3 1/2 - 2 5/9 please help thank you
Answers
Hope these help!
. Graph and analyze the function f(x)=-|x+1|+2. A.) Use the graph provided below to graph f(x). Include at least 5 points and the vertex. B.) Describe the transformation from the parent function y=|x| to the function f(x). C.) State the domain and range of f(x). Use either set notation or interval notation. D.) State the vertex. Write as an ordered pair.
Answers
A) The given points on the graph are (-4, - 3), ( -3, 0 ), (-2, 1), ( -1, 2), (0, 1), and (1, 0 ).
B) The function f( x) is a reflection of the parent function.
C) The domain of f (x) is all real numbers, and the range is from negative infinity.
What is the domain?A function's domain is the set of all potential input values. It defines the value range for which the function is defined.
The vertex of a parabolic function is the point on the graph that indicates the function's highest or minimum value. The function's "turning point" is also known as this.
A Parent function is a fundamental or "template" function that represents a certain kind or family of functions. It may be altered to perform a variety of related functions.
A) note that the above graph is attached accordingly including at least 5 points and the vertex.
(-4, -3)
(-3, 0)
(- 2, 1)
( -1, 2)
(0, 1)
(1, 0 )
See the attached graph.
B) The function f(x) is a reflection of the parent function y=|x| over the vertical axis, shifted one unit to the left and two units up.
C) The domain of f(x) is all real numbers since the absolute value of any real number is always non-negative. All real numbers (-∞, ∞)
The range of f(x) is from negative infinity up to (but not including) 2, since the highest value f(x) can attain is 2 due to the vertical shift of the function, and it can take on any value less than 2 (down to negative infinity) due to the reflection and vertical stretching of the absolute value function. In interval notation, the range can be expressed as (-∞, 2).
D) The vertex of the function f(x)=-|x+1 |+2 is ( -1, 2)
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Figure B is a scaled copy of Figure A.
Figure A
Figure B
What is the scale factor from Figure A.to Figure B?
Answers
Answer:
The length of a is 3 units
And breadth of a is 1 units
The length of b is 9 units and the Breadth of b is 3 units.
Therefore, Ratio of their sides=1:3.
Therefore, Scale os 1:3
3. Put the integers in order from smallest to greatest. a. -41; 54; -31; -79; 57 b. 43; -54; 44; -55; -37; 22; 52; -39; -43; -56; 18
please help asp
50 points
Answers
a. -79, -41, -31, 54, 57
b. -56, -55, -54, -43, -39, -37, 18, 22, 43, 44, 52
In both cases, I have put the integers in order from smallest to greatest by comparing each number and placing them in the correct order. Starting with the smallest number and moving to the largest.
which of the following statements is true?
A: 1.7 less than 1 1/2
B: 3/4 less than pr equal to 7/8
C: -1 1/2 less than -1.5
D:0.01 greater than 0.q
Answers
Answer:
the answer will be A 1.7 less than 1 1/2
The original cost of a sofa was $600. If it was discounted 40% and sales tax is 8%, what is the final cost of the sofa
Answers
Answer:
$312
Step-by-step explanation:
10% of $600 is $60
So $60*4=$240
$600-$240=$360
1%=$6
So $6*8=$48
$360-$48=$312
Write the trigonometric ratio as a simplified fraction.
10. sin B
C9
A
C
6
15 C
B
11. cos A
12. tan A
10.
11.
12.
Answers
The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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Salvador bought 6 lbs of coffee for $18.66. What is the unit price per pound?
Answers
Answer:
$3.11
Step-by-step explanation:
It is given that,
Salvador bought 6 lbs of coffee for $18.66.
We need to find the unit price per pound.
The unit price per pound is calculated by dividing total cost by 6 as follows :
\(C=\dfrac{18.66}{6}\\\\=\$3.11\)
Hence, the unit price per pound is $3.11
rita put $2,000 in a bank account that pays at 4% annual simple interest at the end of 9 months he decides to take her money out of the account how much interest has she earned in what is the balance of her account
Answers
Answer:
$666.66
Step-by-step explanation:
4%/12=0.33333
0.33333*9= 3%
2,000/3=$666.66
2,000+666.66=$2,666.66
Find the x-intercept of the line through (0,24) and (4,0)
Answers
Answer:
4
Explanation:
The x-intercept of a line is the point at which the line crosses the x-axis.
At the x-intercept, the value of y=0.
Therefore, the x-intercept of the line through (0,24) and (4,0) is 4.
Work out the question ?
4 1/2 - 1 1/3=
Answers
Answer:
Today: Tuesday, 12th January 2021
16.31 PM
\( \tt 4 \frac{1}{2} - 1 \frac{1}{3} \)
\( = \tt \frac{9}{2} - \frac{4}{3} \)
\( = \tt \frac{27 - 8}{6} \)
\( \tt = \frac{19}{6} \)
\({\orange{\boxed{\red{ \tt = 3 \frac{1}{6} }}}}\)
10-
Next O
Post Test: Linear Equations
10
Select all the correct answers
Which lines in the graph have a slope greater than 1 but less than 27
line 1
line 2
line 3
line 4
line 5
3 4
5
Answers
The slope of the straight line in the graph that expresses proportional relationship indicates that the lines in the graph that have a slope greater than 1 but less than 2 are;
Line 3Line 4What is the slope of a graph of a straight line?The slope of the graph of a straight line is the ratio of the rise to the run on the line.
The slope of a graph with a slope of 1 has an increase in the y-value of 1 for each increase in the x-value of 1
Slope = 1 = Δy/Δx
When the slope is greater than 1, we get;
Δy/Δx > 1, therefore Δy is larger than 1 when Δx is 1.
Similarly, the slope of a graph with a slope of 2 has an increase in the y-value of 2 for each increase in the x-value of 1
Slope = 2 = Δy/Δx
When the slope is less than 1, we get;
Δy/Δx < 2, therefore Δy is less than 2 when Δx is
The lines in the graph that have a slope greater than 1 but less than 2 are therefore the graphs with the coordinates;
Line 3; (0, 0), (4, 6); Slope = 6/4 = 3/2, therefore; 1 < slope = 3/2 < 2
Line 4; (0, 0), (5, 6); Slope = 6/5, therefore; 1 < Slope < 2
The line 5 has a slope of 1, and the line 1, has a slope of 3, line 2 has a slope of 2
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Use the number line to find the equivalent decimal and mixed number for givenletter
Answers
The equivalent decimal and mixed number for given letter C is,
⇒ C = 8.2 ; 8 2/10
We have to given that,
A number line is shown in image.
Since,
A number lines are the horizontal straight lines in which the integers are placed in equal intervals.
And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
Now, By given number line,
Point C is two point left from point 8.
Hence, The point C is denoted as,
⇒ C = 8.2
⇒ C = 82/10
⇒ C = 8 2/10
Therefore, the equivalent decimal and mixed number for given letter C is,
⇒ C = 8.2 ; 8 2/10
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Rory has 4 pounds of ground beef to make meatballs. He uses 3/8 pound per meatball to make 9 meatballs. How many 1/8-pound meatballs can rory make with the remaining beef
Answers
Answer:
0.125
Step-by-step explanation:
Answer:
5/8 so he can make 15 meatballs
Step-by-step explanation:
Bill bought 4 CDs that were each the same price. Including sales tax, he paid a total of $58.80 Of that total, $5.20 was tax. What was the price of each CD before tax?
Answers
Answer:
$14.7
Step-by-step explanation:
Given: Total = $58.80, Tax = $5.20
To find: The price of each CD before tax
Solution: The total price of the 4 CDs can be determined first by subtracting the tax from the total paid;
$58.80 - 5.20 = $53.6
To find the price of each CD before tax, divide $58.80 by 4:
$58.80 ÷ 4 = $14.7
The price of each CD was $14.7 before tax.
How many years make up a decade? a 10 b 50 c 100 d 1,000
Answers
In 2016, the per capita consumption of soft drinks in the United
States was reported to be 642 eight-ounce servings. Assume that
the per capita consumption of soft drinks in the United States is
approximately normally distributed with a mean of 642 eight-ounce
servings and a standard deviation of 100 eight-ounce servings.
a. What is the probability that someone in the United States
consumed more than 750 eight-ounce servings in 2016?
b. What is the probability that someone in the United States
consumed between 450 and 500 eight-ounce servings in 2016?
c. What is the probability that someone in the United States
consumed less than 450 eight-ounce servings in 2016?
d. Ninety-nine percent of the people in the United States consumed
less than how many servings of eight-ounce soft drinks in 2016?
Answers
The probabilities, using the normal distribution, are given as follows:
a) More than 750: 0.1401 = 14.01%.
b) Between 450 and 500: 0.0504 = 5.04%.
c) Less than 450: 0.0274 = 2.74%.
d) 99% of people consumed less than 874.7 servings.
How to obtain probabilities using the normal distribution?[
The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for the number of servings in this problem are given as follows:
\(\mu = 642, \sigma = 100\)
For item a, the probability is one subtracted by the p-value of Z when X - 750, hence:
Z = (750 - 642)/100
Z = 1.08
Z = 1.08 has a p-value o 0.8599.
1 - 0.8599 = 0.1401 = 14.01%.
For item b, the probability is the p-value of Z when X = 500 subtracted by the p-value of Z when X = 450, hence:
X = 500:
Z = (500 - 642)/100
Z = -1.42
Z = -1.42 has a p-value o 0.0778.
X = 450:
Z = (450 - 642)/100
Z = -1.92
Z = -1.92 has a p-value o 0.0274.
0.0778 - 0.0274 = 0.0504 = 5.04%.
For item c, the probability is the p-value of Z when X = 450, hence 0.0274 = 2.74%.
For item d, we need to find the 99th percentile, which is X when Z = 2.327, hence:
2.327 = (X - 642)/100
X - 642 = 232.7
X = 232.7 + 642
X = 874.7 servings.
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Part 1: Identify key features and graph a parabola from standard form.
Answer the following questions to determine the key features of the parabola based on the
equation shown, and then graph it
12(x + 3) = (y-2)^2
a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1
point)
b) What is the vertex of the parabola? (1 point)
c) What is the focus of the parabola? (2 points)
d) What is the directrix of the parabola? (2 points)
e) Sketch a graph of the parabola and label the vertex,focus, directrix, and axis of symmetry (4 points)
Answers
Answer:
a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1
point)
b) What is the vertex of the parabola? (1 point)
Step-by-step explanation:
Which statement is NOT true about the absolute value of -6? (1. It equals the absolute value of 6.) (2.It describes the distance between -6 and 0 on the number line.) (3.It describes the distance between 6 and -6 on the number line.) (4. It can be expressed as [-6].)
Answers
Answer:
probably It explains the distance between 6 and -6 on the number line.
Step-by-step explanation:
Aunt Penny is making strawberry jam. She has 4 containers of
strawberries. Container A has 4/8 of a pound. Container Bhas 2/8 of a
pound, Container C has 5/8 of a pound and Container D has 6/8 of a
pound. How many pounds of strawberries does Aunt Penny have?
Represent your answer as a mixed number.*
Answers
Answer:
2 whole and 1/8
Step-by-step explanation:
Find out the total pounds of strawberries for the 4 containers.
4/8 + 2/8 + 5/8 + 6/8 = 17/8
17/8 = 2 whole and 1/8
Answer:
2 1/8
Step-by-step explanation:
4/8+2/8+5/8+6/8=17/8
17/8 as a mixed number is 2 1/8
Jake cuts out five-pointed stars. They are different sizes, but they
all have the same shape. The side lengths within
each star are the same.
To find the perimeter of each star, Jake uses the expression
12€ + 1 – 46 – 8.5 + 2€ + 8, where l is the side length of the star.
a. Find the perimeter of a star with side length 6 inches. Show your work.
Answers
Answer:
60
Step-by-step explanation: 12L + 1/2 = 72.5
72.5 - 24 - 8.5 + 20
72.5 -24 = 48.5 - 8.5 = 40
40 + 20 = 60
The perimeter of a star with side length 6 inches is,
⇒ 38.5 inches.
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
Jake uses the expression 12l + 1 – 46 – 8.5 + 2l + 8, where l is the side length of the star.
Hence, The perimeter of a star with side length 6 inches is,
⇒ 12l + 1 – 46 – 8.5 + 2l + 8
⇒ 12 × 6 + 1 - 46 - 8.5 + 2×6 + 8
⇒ 72 + 1 - 46 - 8.5 + 12 + 8
⇒ 38.5 inches.
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i need help with this ^
Answers
Answer:
23
Step-by-step explanation:
17 pluse 2 is 19
180 minus 19 is 161
add all the vs you get 7
so 161 divided by 7 is 23
Answer:
Select the correct answer.
Which path describes the movement of oxygenated blood leaving the heart? Use the standard image of the heart to guide you.
A.
left atrium → left ventricle → aorta
B.
left ventricle → left atrium → pulmonary artery
C.
right atrium → right ventricle → pulmonary artery
D.
right ventricle → right atrium → aorta
Step-by-step explanation:
Please help me
11-x>17
Answers
Answer:
x < -6
Step-by-step explanation:
Answer:
-7 or x <-6
Step-by-step explanation:
To add to a number that’s in a subtracting equation you must use a negative number because a negative with a subtraction equals adding
what multiplies to -65 and adds to -8
Answers
Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.
Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:
Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.
Write down the equation x + y = -8.
Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.
Substitute this expression for x into the first equation: (-8 - y) * y = -65.
Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.
Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).
This gives us two possible values for y: -13 and 5.
Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.
So, the two numbers that multiply to -65 and add to -8 are -13 and 5.
Find A − B and B − A. (Enter your answers in list form. Enter EMPTY or ∅ for the empty set.)
Answers
The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.
To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.
However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.
Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.
To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.
Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.
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