To find the number of robberies this year, we need to calculate 14% of last year's total and subtract it from that total. This results in an estimated 286 robberies this year.
Explanation:The question asks for the number of robberies this year given a 14% decrease from the prior year's total of 332 robberies. To calculate this, you would multiply last year's number of robberies by 14% (or 0.14) to find the decrease in robberies. Then, subtract this decrease from the original number of robberies.
First, calculate the decrease: 332 * 0.14 = 46.48. This rounds down to 46 robberies, as it would be unlikely to have a fraction of a robbery.
Next, subtract this from the original amount: 332 - 46 = 286. There were approximately 286 robberies this year, rounded to the nearest whole number, assuming a 14% decrease from 332.
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6 times 4 - 12 divided by 3 - 8
Answer:
-4
Step-by-step explanation:
6 times 4 equals 24
24 minus 12 equals 12
12 divided by 3 equals 4
4 minus 8 equals -4
(btw i did this in the order from the question and not BIDMAS )
About 106 baby boys are born for every 100 baby girls. Write this as a simplified ratio of males to females
Answer:
53/50
Step-by-step explanation:
The ratio of males to females is 53:50.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Number of baby boys = 106
Number of baby girls = 100
So, the ratio of males to females
= 106/100
= 53/50
Hence, the ratio of males to females is 53:50.
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PLEASE HELP 15 POINTS.
the lines a and b intersect at point D. What is the value of z? Enter your answer in the box. z = Lines a and b intersect at point D. Acute vertical angles measure five z plus eight degrees and four z plus twenty degrees.
Answer:
[tex]z=12[/tex]
Step-by-step explanation:
The lines a and b intersect at point D. Angles with measures [tex](5z+8)^{\circ}[/tex] and [tex](4z+20)^{\circ}[/tex] are vertical angles.
Vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.
Congruent angles have equal measures.
Hence,
[tex]5z+8=4z+20\\ \\5z-4z=20-8\\ \\z=12[/tex]
Answer:
12
Step-by-step explanation:
A politician’s support grew from 42% by 3 percentage points to 45%. What percent (relative) change is this?
Answer:
The percent (relative) change is 7.14 percent (%).
Step-by-step explanation:
We are given that the original support value is at 42%.
Then the support increased by 3%, to reach 45%.
We want the Percentage Change (i.e. relative) change of this increase, which can be computed as:
[tex]\frac{X_{F}-X_{O}}{X_{O}}*100[/tex]
where [tex]X_{F}[/tex] is the final value reached
[tex]X_{O}[/tex] is the original value
So plugging in our known values and computing we have:
[tex]\frac{45-42}{42}*100= \frac{3}{42}*100 = 0.071428*100=7.14[/tex] percent increase.
Now lets go back and check if we are correct.
[tex]42+42\frac{7.14}{100}=42+2.9988=42+3=45[/tex]
So it works!
classify the triangle by its angels :
A. acute
B. right
C. obtuse
D. scalene
Answer:
B. right
Step-by-step explanation:
In the bottom left corner there is a square. The square represents a 90 degree angle. A 90 degree angle is named a right angle.
The midpoint of AB??
Answer:
(0, 0)
Step-by-step explanation:
You can see immediately that the line AB passes through (0, 0) (the origin) and that points A and B are equidistant from the origin. In other words, (0, 0) is the midpoint of line AB.
Answer:
( 0 , 0 )Step-by-step explanation:
Help, please! And also attempt to show work, thank you!
Since you know the value of n = 3, plug in 3 for n in the equation
4(n + 1)
4(3 + 1)
4(4)
= 16
Brian sold half of his baseball cards. The next day, he bought 10 more. Now he has a total of 50 cards. Write and solve an equation to determine how many baseball cards he had before he sold any. Let b represent the number of baseball cards he had.
Answer:
80
Step-by-step explanation:
50*2= b b/2=40 40+10=50
Answer: 20 pencils and 80 cards
Step-by-step explanation:
What is the length of line segment AB?
1 inch
v3 inches
4 inches
475 inches
Answer:
[tex]AB=\sqrt{3}\ in[/tex]
Step-by-step explanation:
The correct question is
The diagonal of rectangle ABCD measures 2 inches in length.
What is the length of line segment AB?
The picture of the question in the attached figure
we know that
In the right triangle ABD
[tex]cos(30^o)=\frac{AB}{BD}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(30^o)=\frac{AB}{2}[/tex]
Remember that
[tex]cos(30^o)=\frac{\sqrt{3}}{2}[/tex]
so
[tex]\frac{AB}{2}=\frac{\sqrt{3}}{2}[/tex]
[tex]AB=\sqrt{3}\ in[/tex]
Answer:
B
Step-by-step explanation:
the answer is B on edge.
4. A geometric sequence is defined recursively by a(1) = 40 and a(n)= a(n-1)
(a) Write out the first four terms of this sequence.
(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.
The complete question is:
A geometric sequence is defined recursively by
[tex]a_{(1)}=40\text{ and }a_n=(-1/2)a_{(n-1)}[/tex]
(a) Write out the first four terms of this sequence.
(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.
Answer:
The 9th term is larger than 1/10.Explanation:
You are given the first term, [tex]a_(1)=40[/tex] , and the recursive formula
[tex]a_{(n)}=(-1/2)a_{(n-1}[/tex]
Thus, you can find the sequence of terms by multiplying each term by the constant ratio, (-1/2).
(a) First four terms of the sequence
[tex]a_{(1)}=40\\ \\ a_{(2)}=40\times (-1/2)=-20\\ \\ a_{(3)}=-20\times (-1/2)=10\\\\ a_{(4)}=10\times (-1/2)=-5[/tex]
Those are the first four terms.
(b) 9th term
You can write the explicit formula of the sequence as:
[tex]a_{(n)}=a_{(1)}\times r^{(n-1)}\\ \\ a_{(n)}=40(-1/2)^{(n-1)}[/tex]
Thus, for the 9th term, n = 9, and the term is:
[tex]a_{(9)}=40\times (-1/2)^{(9-1)}\\ \\ a_{(9)}=40\times(-1/2)^8\\ \\ a_{(9)}=40\times(1/256)=0.1526[/tex]
Since 1/10 = 0.1, and 0.1 < 0.1526, the 9th term is larger than 1/10.
There are 100 students at a swim meet. Every 3rd finisher in the race receives a medal. Every 5th finisher gets a ribbon. How many people will receive a medal AND ribbon.
Final answer:
Calculating the least common multiple (LCM) of 3 and 5 to determine that 6 students will receive both a medal and a ribbon at a swim meet of 100 students.
Explanation:
To find the number of students at the swim meet who will receive both a medal and a ribbon, we need to look for the common multiples of 3 and 5, as medals are given to every 3rd finisher and ribbons to every 5th finisher. The least common multiple (LCM) of 3 and 5 is 15, which means every 15th student will receive both a medal and a ribbon. Since there are 100 students, we simply divide 100 by 15 and then take the integer part of the result, because we can't have a fraction of a person.
100 ÷ 15 equals approximately 6.66. The integer part is 6, which means 6 students will receive both a medal and a ribbon.
a=πr^2 solve for π please help
Answer:
π = a/(r²) = a÷(r²)
Answer:
pie is equal to the square root of A divided by r
Step-by-step explanation:
Set the equation first...a=pie times r squared. Then u need to get rid of everything to make pie by itself. U square both sides or all the equation. the square cancels out and on the other side, it will be the square root of a. Next, divide by r on each sides. The r cancels out. Then it's gonna be pie =the square root of a all over r. It can't be a/r square because in the original...pie is being multiplied by r which is squared so that means both variables are squared. U cant find pie if the square is stopping it so u square for the very first step
8. A farmer owns a total of 10 acres of land. The land is separated into 6
equally sized sections. How many
acres are in each section?
Write your answer as a mixed number in simplest form.
Answer: 8/5 or 1 ⅗ acres
Step-by-step explanation:
Write 2339 in scientific notation
Answer:
2.339×10^3
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
2.339×10^3
Please answer as soon as possible.
Answer:
9(4 +3)5(9 +5)8(2+9)Step-by-step explanation:
Problems like these are aided immensely by your knowledge of multiplication tables.
1) 36 = 1·36 = 2·18 = 3·12 = 4·9 = 6·6
27 = 1·27 = 3·9
The greatest common factor is 9, so the sum can be written as 9(4+3).
__
2) 45 = 1·45 = 3·15 = 5·9
25 = 1·25 = 5·5
The greatest common factor is 5, so the sum can be written as 5(9+5).
__
3) 16 = 1·16 = 2·8 = 4·4
72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9
The greatest common factor is 8, so the sum can be written as 8(2+9).
Which postulate proves that the two triangles are congruent?
A. SAS
B. SSS
C.AA
D.ASA
Answer:
B. SSS
Step-by-step explanation:
All of the sides are the same
SSS postulate proves that the two triangles are congruent.
What is Congruency of Triangle?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
SSS (side-side-side) All three corresponding sides are congruent. SAS (side-angle-side) ASA (angle-side-angle)Given:
From the figure we have two triangles named as FED and CBA
Now, In triangles FED and CBA
FE = AC
ED = BA
FD = BC
So, by SSS Congruency Criteria triangles FED and CBA are Congruent.
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The function y = log (x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?
On a coordinate plane, a curve starts at (negative 1, negative 5) and curves up into quadrant 1. It approaches y = 1.
On a coordinate plane, a curve starts at (1, negative 4) and curves upwards. It approaches y = negative 1.
On a coordinate plane, a curve starts at (negative 1, negative 1) and curves up into quadrant 1. It approaches y = 5.
On a coordinate plane, a curve starts at (1, negative 3) and curves up into quadrant 1. It approaches y = 5.
See the graph below
Explanation:
We need to remember the following rules:
[tex]For \ any \ function \ f(x) \ we have: \\ \\ \\ \bullet \ g(x)=f(x-k) \ Translation \ k \ units \ to \ the \ right \\ \\ \bullet \ g(x)=f(x+k) \ Translation \ k \ units \ to \ the \ left \\ \\ \bullet \ g(x)=f(x)+c \ Translation \ c \ units \ up \\ \\ \bullet \ g(x)=f(x)-c \ Translation \ c \ units \ down \\ \\ With \ c>0 \ and \ k>0[/tex]
Here we know that The function y = log (x) is translated 1 unit right and 2 units down, so:
[tex]k=1 \\ \\ c=2 \\ \\ \\ Finally: \\ \\ g(x)=log(x-1)-2[/tex]
Below you can see the graph. The red one is the original function while the blue one is the translated one.
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Answer:
B
Step-by-step explanation:
Took test on edge
Recipe for cookies calls for 3 1/4 cups of sugar Amy has already put three and one nights cup how many more cups so she need to put in
Answer:
So she need [tex]\frac{5}{36}\ cups[/tex] more to put in.
Step-by-step explanation:
Given:
Recipe for cookies calls for 3 1/4 cups of sugar.
Amy has already put three and one nine cups.
Now, to find the number of cups she need to put in.
Number of cups of sugar for recipe calls = [tex]3\frac{1}{4} =\frac{13}{4}\ cups.[/tex]
Amy has already put = [tex]3\frac{1}{9} =\frac{28}{9}\ cups.[/tex]
So, to get the number of cups she need to put in we subtract number of cups of sugar for recipe calls from number of cups of sugar for recipe calls:
[tex]\frac{13}{4} -\frac{28}{9}[/tex]
Subtracting by taking the same denominator:
[tex]=\frac{117-112}{36}[/tex]
[tex]=\frac{5}{36}[/tex]
Therefore, so she need [tex]\frac{5}{36}\ cups[/tex] more to put in.
Ikyjah’s cat is stuck up a tree. To rescue it, he places the base of a 10 ft ladder 3 ft away from the base of the tree. What is the height of the branch which the cat is stuck on?
The height of the branch is 9.54 ft
Step-by-step explanation:
Apply Pythagorean relationship in this question where the length of the ladder is the hypotenuse, and the distance from the tree base is the shortest side.Finding the height will be;
a²+b²=c²
a²+3²=10²
a²=10²-3²
a²=100-9
a²=91
a=√91=9.54 ft
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Keywords: cat, stuck, tree. rescue,base, ladder, height , branch
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The number of cars Gary sold each month was 12, 5, 9, 11, 14, and 10.
What was Gary's median number of sales per month?
o
10.2
0
0 0
Answer:
11.5
Step-by-step explanation:
(11+12)/2=11.5
Identify all factors of the expression 〖4x〗^2+17x-15.
The factors of given expression are: -5 and 3/4
Step-by-step explanation:
Given equation is:
[tex]4x^2+17x-15[/tex]
Making pairs for the mid-term 17x by factoring the product of co-efficient of 4x^2 and 15
[tex]4x^2+20x-3x-15[/tex]
[tex]= 4x(x+5) - 3(x+5)[/tex]
[tex]=(4x-3)(x+5)[/tex]
Now
[tex]4x-3 = 0\\4x = 3\\x = \frac{3}{4}[/tex]
[tex]x+5 = 0\\x = -5[/tex]
Hence,
The factors of given expression are: -5 and 3/4
Keywords: Quadratic equation, factors
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If f(x) = 4x - 2, what is the y-intercept of f^-1 (x)?
1/4, 1/2, -1/2, -2
Answer:
1/2
Step-by-step explanation:
The y-intercept is [tex]\frac{1}{2}[/tex].
Given that f(x) = 4x-2.
To find the inverse function:
1) Write f(x) = y
2) Switch x and y.
3) Solve for y.
4) Write [tex]y=f^{-1}\left(x\right)[/tex].
So,
[tex]f(x) = 4x - 2\\y=4x-2\\x=4y-2\\4y=x+2\\y=\frac{\left(x+2\right)}{4}\\y=\frac{1}{4}x+\frac{2}{4}\\y=\frac{1}{4}x+\frac{1}{2}\\f^{-1}\left(x\right)=\frac{1}{4}x+\frac{1}{2}[/tex]
Comparing this with y=mx+b,
b = y-intercept = [tex]\frac{1}{2}[/tex]
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yea i’m confused so like help?
Answer:
0,1 is greater because...
Answer:0,1
Step-by-step explanation:
Find the slope given in the graph above.
Answer:
-1/3
Step-by-step explanation:
it goes down one and over three
Answer: your slope would be -[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Data is often displayed using numbers and categories.
Which types of graphs are most appropriate for displaying categorical data? Check all of the boxes that apply.
the graphs picture is not provided (incomplete question. explanation:
Answer:bar graphs and pie charts
Step-by-step explanation:
edge 2021
Which values of x is the solution set of the inequality 7 (x+1) > -14?
The solution of given inequality is: [tex]x>-3[/tex]
Solution:
Given inequality is:
[tex]7(x+1)>-14[/tex]
We have to find the value of "x"
Let us solve the given inequality
Divide both sides of inequality by 7
[tex]\frac{7\left(x+1\right)}{7}>\frac{-14}{7}\\[/tex]
Simplify the above expression
[tex](x+1)>-2[/tex]
[tex]x+1>-2[/tex]
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides\: of\: inequality}[/tex]
[tex]x+1-1>-2-1\\\\x>-3[/tex]
Thus the value of x is [tex]x>-3[/tex]
A Web music store offers two versions of a popular song the size of the standard version is 2.7 MB the size of a high-quality version is 4.1 MB yesterday there were 1130 downloads of the song for a total download size of 3723 MB. How many downloads of the high-quality version where there
Answer:
480
Step-by-step explanation:
Let h represent the number of high-quality downloads. Then the total download size is ...
4.1h +2.7(1130-h) = 3723
1.4h = 672 . . . . . . . . . . . . . . subtract 2.7·1130 = 3051
h = 480 . . . . . . . divide by 1.4
There were 480 downloads of the high-quality version.
I’m so condfused! Can someone please get the answer for me?
Answer:
36
Step-by-step explanation:
If you see this kind of problem do this two steps:
1. Multiply the numerator and the multiplier.
2. Divide the result with the denominator.
[tex]\frac{3}{10}[/tex] × 120
3 × 120 = 360 (STEP 1)
360 ÷ 10 = 36 (STEP 2)
Answer:
36
Step-by-step explanation:
find a bank account balance if the account starts with $100 has an annual rate of 4% and the money left in the account for 12 years
Please rate brainliest
16-(-12)=
As soon as possible please