Answer:
86 armed robberies
Step-by-step explanation:
Let a represent the number of armed robberies city A experienced and b represent the number of armed robberies city B experienced.
From the first sentence, we know that a = 2b-18
From the second sentence, we know that a+b=138.
We can solve by substituting the value of a into the second equation to get
(2b-18)+b = 138. Add 18 to both sides and simplify to get 3b = 156. Finally, divide both sides by 3 to get b=52. We can plug this back into the first equation to get a = 2*52 - 18 = 104-18 = 86.
The number of robberies that happened in city A is 86.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, City A experienced 18 armed robberies less than twice that of city B.
Assuming the number of robberies in city B is 'x'.
So, The number of robberies in city B A is,
= 2x - 18.
Also given In two cities combined, 138 armed robberies occurred.
Therefore,
x + 2x - 18 = 138.
3x = 138 + 18.
3x = 156.
x = 52.
So, In city B 52 robberies happened and in A (52×2 - 18) = 86.
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3. A page in a photo album holds 6 photos. Suppose you have 9 photos. How many ways can you arrange
your photos on the page?
Answer:
Double The Three Folder...Use 1st Holder To Hold 2 Photos 2nd To Hold 1 Photo 3rd To Hold 2 Photos 4th Holder To Hold 1 Photo 5th To Hold 2 Photos And 6th To Hold 1
write the equation of the line that passes through the point (4,7) and is parallel to the line Y=3x+6
Answer:
Step-by-step explanation:
plug in the points minus the constant for 7=3*4 + x and you will get -5 for your constant
y=3x - 5
Answer:
y = 3x - 5
Step-by-step explanation:
7 = 3(4) + b
---> b = -5
y = 3x - 5
How to find the shaded area of circle sector circle is 0 radius is 6inches and the central angle is 100 degrees express answer to the nearest tenth of a square inch with pi =3.14
The shaded area of the circle sector can be found by using the formula mentioned below. Area of Sector = (θ/360) × πr² Where = the central angle of the sector and r = the radius of the circle, = 3.14. By substituting the given values in the formula, we get: 100°r = 6 inches = 3.14.
We need to convert the central angle from degrees to radians, as the formula for area of a sector requires the value in radians. Radian measure = degree measure /180 = 100 3.14/180 = 1.745 radians. Area of Sector = (/360) r2 = (1.745/2) 3.14 62 = 15.3 square inches. The shaded area of the circle sector can be found by using the formula mentioned below. Area of Sector = (θ/360) × πr² Where,θ = Central angle of the sector r = Radius of the circle = 3.14. By substituting the given values in the formula, we get,θ = 100°r = 6 inches π = 3.14. We need to convert the central angle from degrees to radians, as the formula for area of a sector requires the value in radians. Radian measure = degree measure /180 = 100 3.14/180 = 1.745 radians. Now, let us substitute the values in the formula to find the area of the sector. Area of Sector = (/360) r2 = (1.745/2) 3.14 62 = 15.3 square inches. Therefore, the shaded area of the circle sector is 15.3 square inches (approx).
In conclusion, we can say that the area of the shaded region in the circle sector can be calculated by using the formula for the area of the sector.
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what are the numbers for h?
Answer:
0,1
2,2
4,3
6,4
Step-by-step explanation:
Some Examples
4 = 1/2 (6) + 1
4 = 3 + 1
4=4
----------
2 = 1/2 (2) + 1
2 = 1 + 1
2 = 2
h
0
2
4
6
...................
A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?
Answer: y = 5x + 26
Step-by-step explanation:
To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.
We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Substituting the values, we get:
y - 1 = 5(x - (-5))
Simplifying further:
y - 1 = 5(x + 5)
Expanding the brackets:
y - 1 = 5x + 25
Rearranging the equation to the slope-intercept form (y = mx + b):
y = 5x + 26
Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.
Question 6 The volumes of two similar solids are 729m3 and 125m3 The surface area of the larger solid is 324m2. What is the surface area of the smaller solid
Answer:
100 m²
Step-by-step explanation:
The scale factor for volume of similar figures is the cube of the scale factor for linear dimensions. The scale factor for area is the square of that linear dimension scale factor.
Scale factorIf the ratio of volumes is the cube of the scale factor, then the scale factor for the smaller figure in terms of the larger is ...
\(k=\sqrt[3]{\dfrac{125\text{ m}^3}{729\text{ m}^3}}=\sqrt[3]{\dfrac{5^3}{9^3}}=\dfrac{5}{9}\)
Smaller areaThe area of the smaller figure is found from ...
\(\dfrac{A}{324\text{ m}^2}=\left(\dfrac{5}{9}\right)^2=\dfrac{25}{81}\\\\A=(324\text{ m}^2)\cdot\dfrac{25}{81}=\boxed{100\text{ m}^2}\)
The surface area of the smaller solid is 100 square meters.
__
Additional comment
The least surface area for a given volume is that of a sphere. The larger volume given corresponds to a sphere with a radius of about 5.583 meters. Such a sphere will have an area of about 391.7 square meters. There is no known physical object with a volume of 729 m³ that can have a surface area as little as 324 m².
Consider Bruce's incomplete deposit slip. How much cash did Bruce receive?
Given:
Case: 1
Cash $25 , Check 1 $56 , Check 2 $83 Total $64
\(\text{Subtotal =25+56+83}\)\(\text{Subtotal =}164\)\(\text{Less cash received = 164-64}\)\(\text{Less cash received = \$100}\)Case: 2
Cash $22; Check 1 $42 ; Check 2 $67 ; Total $32
\(\text{Subtotal}=22+42+67\)\(\text{Subtotal}=131\)\(\text{Less cash received=131-32}\)\(\text{Less cash received= \$99}\)A certain brand of coffee costs $5.99 for 12.4 ounces. What is the unit rate? please help asap
Answer:
.483≈ $.48 per ounce
Step-by-step explanation:
Unit rate will be cost/ounce
$5.99 ÷12.4 = .483
.483≈ $.48 per ounce
A single number that estimates the value of an unknown parameter is called a _______ estimate.
Answer:
A single number that estimates the value of an unknown parameter is called a point estimate.
Step-by-step explanation:
Don't see the point (haha) of elaborating
help me with this answer please <3
Answer:
(x, y) = (-8, 19)
Step-by-step explanation:
9x + 3y = -15
-4x - 3y = -25
(9x + 3y) + ((-4x) - 3y) = -15 + (-25)
5x = -40
x = -8.
So,
9x + 3y = -15
9 * (-8) + 3y = -15
-72 + 3y = -15
3y = 57
y = 19
At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in
the first two columns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry. Write the ordered pair for the
corresponding terms in the third column. Then graph the ordered pairs.
I need to make a sequence for the cost of braclets (in dollars) and I also need to make an sequence for the cost of necklaces (in dollars)
please help :)
The sequence for the cost of bracelet in dollars = $0, $3, $6, $9 and $12.
Also the sequence for the cost of necklace is = $0, $6, $12, $18, $24.
Calculation of the various cost sequenceThe column given concerning the products contains the following amounts of products such as 0, 1, 2, 3, and 4 pieces.
Therefore to calculate the amount to be used to buy each product of bracelet and necklace in each column multiplication is carried out.
That is, 0×3, 1 ×3, 2×3, 3×3, and 4×3
which is = $0, $3, $6, $9 and $12 respectively for the bracelet.
0×6, 1 ×6, 2×6, 3×6, and 4×6
Which is = $0, $6, $12, $18, $24. respectively for the necklace.
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Help me please 12x-30
Answer:
-360
Step-by-step explanation:
Answer:
-360
Step-by-step explanation:
yes is it correct.................
HELP APPRECIATED PLEASEEE
WILL GIVE BRAINLIEST !!!
Answer:
1st Rectangle
Step-by-step explanation:
Answer:
The first one (should be fine)
Step-by-step explanation:
\(-4\frac{1}{3}\\=\frac{-4*3+1}{3}\\=\frac{-12+1}{3}\\=\frac{-11}{3}\)
Even if the fraction is positive, 11 is negative, so it's going to the left.
HELP MEEEE PLEASE THANK UUU
The modal class of time spent exercising from the table that shows the time spent exercising, is 40 < x ≤ 50.
The class that the median lies is 30 < x ≤ 40.
How to find the modal and median class ?The modal class would be the one that has the highest frequency which is the class that has the most time spent exercising. That class is the 40 < x ≤ 50 class with 21 people.
The class in which the median lies is the middle class and we need to find the total first:
= 18 + 14 + 3 + 16 + 21 + 7
= 79 people
The median frequency is therefore:
= ( 79 + 1 ) / 2
= 40 th position
This is located in the 30 < x ≤ 40 class.
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What is the area of a rectangular garden if it
has a length of (2y - 4) feet and a width of 4y2
feet?
Answer:
50y2
Step-by-step explanation:
13. The company you work for has downsized and you have lost your job. You receive a severance package of $65 000 and decide to invest it for retirement, earning an average of 7% per year. It has been suggested that you should be able to retire comfortably with $500 000 in savings. If your investment can be modelled with the equation y = 65000(1.07)^x how many years will pass before you reach $500 000?
Answer:
31 years
Step-by-step explanation:
65000*(1.07) ^31 is around $529000
however, 65000*(1.07) ^30 is around $491000
so you would need 31 years to gain more than $500,000.
It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.
To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.
We need to find the value of x, which represents the number of years.
Setting y = $500,000, we can solve for x:
500,000 = 65,000(1.07)ˣ
500,000/65,000 = (1.07)ˣ
100/13 = (1.07)ˣ
To solve for x, we take the logarithm of both sides:
ln 100/13 = ln (1.07)ˣ
ln 100/13 = x ln (1.07)
x = (ln 100/13)/(ln (1.07))
x = 30
Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.
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Help ASAP 20 points!!!
A = {4,7, 10, 14, 17, 20}
B = {1,4,9,14, 20}
C = {2,3,7, 10, 17)
Don't forget about the curly braces.
===========================================================
Explanation:
The upside down "U" symbol means "intersect". We're looking for where the two sets intersect or overlap. In other words, we're looking for all of the values are in both sets at the same time. It might help to draw out the Venn diagram (see the image attachment below).
The numbers 4, 14, and 20 are found in both set A and set B at the same time. Therefore, \(A \cap B = \{4, 14, 20\}\). Something like the value 7 is only found in set A, but not in set B. So we'll ignore that value. Similar things happen with 10 and 17 for set A, and also 1 and 9 for set B.
So that's why the answer you type in is {4, 14, 20}. The curly braces are there to tell the reader we're dealing with a set of values.
f(x) = -3x- 6 and g(x) = -4x + 9, find g(g(y))
9514 1404 393
Answer:
g(g(y)) = 16y -27
Step-by-step explanation:
Simplify from the inside out, as the order of operations tells you.
g(g(y)) = g(-4y +9) = -4(-4y +9) +9
g(g(y)) = 16y -36 +9
g(g(y)) = 16y -27
Enter a range of values for x.
14
1620
2x+10%
15
[ ? ]
Based on the information provided, we have two given values for x: 14 and 15. The range of values for x can be expressed as [14, 15].
However, you also mentioned the value "1620". If this is intended to be part of the range for x, please provide additional clarification or context.
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At the end of 5 years, how much money would you have in total if you invested $600 and earned 4% simple interest?
A $620
B $624
C. $720
D. $740
Answer:
720
Step-by-step explanation:
The picture shows the formula for standard deviation. What does x represent in the formula
The value x in the formula represents the value of each observation of the data-set.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.More can be learned about standard deviation at https://brainly.com/question/24298037
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Latrell looks around at an assembly. He notices his younger sister to his right and his older brother 12 meters ahead of him. If Latrell's brother and sister are 20 meters apart, how far apart are Latrell and his younger sister?
Latrell and his younger sister are 16 meters apart.
From the given information, we can form a triangle with Latrell, his younger sister, and his older brother. Let's denote the distance between Latrell and his younger sister as "x" meters.
Using the Pythagorean theorem, we can set up the equation:
x^2 + 12^2 = 20^2
Simplifying the equation:
x^2 + 144 = 400
Subtracting 144 from both sides:
x^2 = 400 - 144
x^2 = 256
Taking the square root of both sides:
x = √256
x = 16
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resolve in factor x³-16x
Answer:
x (x + 4) (x - 4)
Jason sampled 60 smokers who were questioned about the number of hours they sleep each day Jason wants to test the hypothesis that the smokers need less sleep than the general public which needs an average of 7.5 hours of sleep with a population standard deviation of 0.7 hours. If the sample moon is 7.2 hours, what is tho z-scoro? Answers are rounded to the hundredths placo. O a.) -3.32
Let's start with the question at hand before providing an answer: Jason is interested in determining whether people who smoke require less sleep than non-smokers, who require an average of 7.5 hours per night with a population standard deviation of 0.7 hours. What is the z-score if the sample mean is 7.2 hours? The correct answer is -3.32.
To find the z-score, we use the formula:
z = (x - μ) / (σ / sqrt(n))
where n is the sample size, x is the sample mean, μ is the population mean, and σ is the population standard deviation.
In this instance, n = 60, x = 7.2 hours, = 7.5 hours, and = 0.7 hours.
When we enter the values, we obtain:
z = (7.2 - 7.5) / (0.7 / sqrt(60))
z = -0.3 / (0.0907)
z = -3.31
Rounding to two decimal places, we get z = -3.32.
Therefore, the z-score is -3.32.
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A box contains 3 shiny pennies and 4 dull pennies. One by one, pennies are drawn at random from the box and not replaced. Find the probability that it will take more than four draws until the third shiny penny appears.
The probability that it will take more than four draws until the third shiny penny appears is 2/5. Let A denote the event that it will take more than four draws until the third shiny penny appears.
Let X denote the number of dull pennies that are drawn before the third shiny penny appears.
Then, X follows a negative hypergeometric distribution with parameters N = 7 (total number of pennies), M = 3 (number of shiny pennies), and n = 3 (number of shiny pennies needed to be drawn).
The probability mass function of X is given by:
P(X = k) =\({{k+2} \choose {k}} / {{6} \choose {3}}\) for k = 0, 1, 2.
Note that k + 3 is the number of draws needed until the third shiny penny appears.
Thus, we have:
P(A) = P(X > 1) = P(X = 2) + P(X = 3)
=\({{4} \choose {2}} / {{6} \choose {3}} + {{5} \choose {3}} / {{6} \choose {3}}\)
= 6/20 + 10/20= 8/20= 2/5
Hence, the probability that it will take more than four draws until the third shiny penny appears is 2/5.
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The probability that it will take more than four draws until the third shiny penny appears is 0.057, or 5.7%.
To find the probability that it will take more than four draws until the third shiny penny appears, we can use the concept of combinations and probability.
First, let's determine the total number of ways to draw 3 shiny pennies and 4 dull pennies in any order. This can be calculated using the formula for combinations:
\(\[C(n, r) = \frac{{n!}}{{r!(n-r)!}}\]\)
In this case, we have a total of 7 pennies (3 shiny and 4 dull), and we want to choose 3 shiny pennies. So, we can calculate C(7, 3) as follows:
\(\[C(7, 3) = \frac{{7!}}{{3!(7-3)!}} = \frac{{7!}}{{3!4!}} = \frac{{7 \cdot 6 \cdot 5}}{{3 \cdot 2 \cdot 1}} = 35\]\)
So, there are 35 different ways to draw 3 shiny pennies from the box.
Now, let's consider the different scenarios in which it will take more than four draws until the third shiny penny appears. We can break this down into three cases:
Case 1: The third shiny penny appears on the 5th draw.
In this case, we have 4 dull pennies and 2 shiny pennies to choose from for the first 4 draws. The third shiny penny must appear on the 5th draw. So, the probability for this case is:
\(P(case 1) = (4/7) \times (3/6) \times (2/5) \times (1/4) \times (2/3) = 0.019\)
Case 2: The third shiny penny appears on the 6th draw.
In this case, we have 4 dull pennies and 2 shiny pennies to choose from for the first 5 draws. The third shiny penny must appear on the 6th draw. So, the probability for this case is:
\(P(case 2) = (4/7) \times (3/6) \times (2/5) \times (1/4) \times (2/3) \times (1/2) = 0.019\)
Case 3: The third shiny penny appears on the 7th draw.
In this case, we have 4 dull pennies and 2 shiny pennies to choose from for the first 6 draws. The third shiny penny must appear on the 7th draw. So, the probability for this case is:
\(P(case 3) = (4/7) \times (3/6) \times (2/5) \times (1/4) \times (2/3) \times (1/2) \times (1/1) = 0.019\)
Finally, to find the probability that it will take more than four draws until the third shiny penny appears, we sum up the probabilities of all three cases:
P(more than four draws until third shiny penny appears) = \(P(case 1) + P(case 2) + P(case 3) = 0.019 + 0.019 + 0.019 = 0.057\)
Therefore, the probability that it will take more than four draws until the third shiny penny appears is 0.057, or 5.7%.
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What is the minimum value of the objective function, C with given constraints? C=5x+6y ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪2x+y≤83x+4y≤17x≥2y≥1
Answer:
The answer is 16
Step-by-step explanation:
I did the test
Answer:
Answer is 16
I just did the test its right i swear.
The box plot displays a summary of the numbers of peaches on 20 different trees.
Which statement best describes this data set?
A The data are clustered from 12 to 19.
B The peak of the data is at 25.
C The data are asymmetrical.
DThe upper quartile contains more values than the lower quartile.
Mary borrowed $4,500.00 to help pay for college. If the bank charges a 5.5% annual interest rate, how much will Mary pay including interest after 4 years?
A. $5,490.00
B. $9,900.00
C. $5,500.00
D. $5,460.00
help I don't understand how to do this
Answer:
-3/5
Step-by-step explanation:
Y axis is the positive numbers
X axis is the negative numbers
The first cirle which is the -3 count upwards and the answer is 5.
Based on my knowledge the answer is -3 and 2 and i guess we have different lesson.
True or False. assume the variables x, y, and z have each been assigned an integer value. write a fragment of code that assigns the least of these three variables to another variable named min.
True. The variables x, y, and z have each been assigned an integer value.
Here is a fragment of code that assigns the least of three integer variables to another variable named min:
min = x # initialize min to the value of x
if y < min: # check if y is less than min
\(min = y\) # \(update min to the value of y if y is less than min\)
if z < min: # check if z is less than min
\(min = z\) # \(update min to the value of z if z is less than min\)
In this code, the variable 'min' is first initialized to the value of 'x'. Then, the code checks if 'y' is less than 'min', and if so, updates the value of 'min' to 'y'. Finally, the code checks if 'z' is less than 'min', and if so, updates the value of 'min' to 'z'. At the end of this code fragment, the variable 'min' will contain the least of the three variables 'x', 'y', and 'z'.
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