Answer:
B. -12.4 + 20.6s.
Step-by-step explanation:
Perimeter = 2*length + 2 * width
= 2(3.1s - 1.6) + 2(7.2s - 4.6)
= 6.2s + 14.4s - 3.2 - 9.2
= 20.6s - 12.4
= -12.4 + 20.6s.
[tex]\boxed{-12+20.6s}[/tex]
To find the perimeter of a shape, we add length + width + length + width (or length * 2 + width *2). So we would multiply the width, (3.1s - 1.6), and the length, (7.2s - 4.6), by 2, and then add them together to find the perimeter.
2(3.1s - 1.6) + 2(7.2s - 4.6)
This is equal to:
6.2s + 14.4s - 3.2 - 9.2
Simplified, this is equal to:
20.6s - 12.4
(We have to switch it around, but this answer is equal to option b.)
-12.4 + 20.6s
Tip: To simplify an equation, you add like terms. Like terms are numbers that have the same variables or exponents; for example, -4 and 3 are like terms, as well as 5^2 and 8^2. (Keep in mind, the variables and/or exponents have to be the same if you combine the like terms. Numbers with different variables and exponents can never be combined!)
A restuarant bill is $35.50. How much EXTRA money should you leave if you want to add a %20 tip?
Answer: $ 7.20
Step-by-step explanation:
Multiply the cost ( 35.50) by 20% or 0.20 and you get your answer ( 7.20 ). Hope this helps!
About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer.Find the radius of the region
Answer:
radius is 4.5 km
Step-by-step explanation:
Given :
Total number of people living in the area = 1.15 million = 1150000
Population density = 18075 people per sq kilometer
To find:
Radius of region = ?
Solution:
Population density of a region is defined as the ratio of total population divided by the area of the region.
Area here is circular. Let the radius be = r
Area of circle is given as [tex]\pi r^2[/tex]
Formula:
[tex]Population\ Density = \dfrac{Total\ population}{\pi r^2}[/tex]
Putting the values:
[tex]18075 = \dfrac{1150000}{\pi r^2}\\\Rightarrow r^2 = \dfrac{1150000}{18075\pi }\\\Rightarrow r^2 = \dfrac{63.62}{\pi }\\\Rightarrow r^2 = 20.26\\\Rightarrow \bold{r=4.5\ km}[/tex]
Therefore, radius is 4.5 km.
When the digits of two-digit, positive integer M are reversed, the result is the two-digit, positive integer N. If M > N, what is the value of M
Answer:
The value of M is 91.
Step-by-step explanation:
Suppose T represents the tens digit and U represents the units digit.
Then the numbers M and N are:
M = 10T + U
N = 10U + T
Compute the value of M - N as follows:
M - N = 10T + U - 10U - T = 9T - 9U = 9 (T - U)
Given:
M > N
⇒ T - U > 0
⇒ T > U
Also, M - N is a multiple of 9.
Since M - N is a two-digit number, the possible values of M - N are:
18, 27, 36, 45, 54, 63, and 72
The values 81, 90 and 99 would not be considered since:
9 × 9 = 81
9 × 10 = 90
9 × 11 = 99
T - U = 9 (T - U) = 9 , 10 or 11 respectively and the largest difference for T − U we can get is 9 - 0 = 9 - 0 = 9.
Even this would result in N = 9, which is not a 2-digit number.
It is provided that the integer (M - N) has 12 factors.
Of the possible values of M - N the integer with 12 factors is 72.
The factors of 72 are:
1×72
2×36
3×24
4×18
6×12
8×9
So, M - N = 72.
⇒ M - N = 9 (T - U)
72 = 9 × 8
⇒ T - U = 8
And since T > U, the values of T and U are:
T = 9 and U = 1
We cannot use T - U = 8 - 0 = 8, because then N will be not a two-digit number.
So, M = 91 and N = 19 and their difference is 72.
Thus, the value of M is 91.
plz give correct answer with explanation...correct answer will be marked BRAINLIEST and be followed...
Answer:
x=33
because it lies on the same side of the angle
y= 115
plz mark brainliest
180-155=65 (linear pair)
65+33+x=180 (asp)
98+x=180
x=180-98
x=82
and y...
180-82=98 linear pair
98+36+y=180 asp
134+y=180
y=180-134
y=46
Given that M is the midpoint of VW, what is the length of line segment VM?
Answer:
VM=15
Step-by-step explanation:
4x-1=3x+3 becuase M is the mid point, which makes both sides equal.
Subtract 3x to both sides to get x-1=3.
Add 1 to both sides to get x=4.
Subsitue 4 into the equation 4x-1 to find the lengh of VM.
4(4)-1=
16-1=
15
Using the midpoint concept, it is found that the length of the line segment is of 30 units.
The midpoint divides the line into two segments of equal length, hence [tex]VM = MW[/tex].
Their lengths, as functions of x, are given by:
[tex]VM = 4x - 1[/tex]
[tex]MW = 3x + 3[/tex]
They have the same lengths, hence:
[tex]4x - 1 = 3x + 3[/tex]
[tex]x = 4[/tex]
Hence:
[tex]VM = 4x - 1 = 4(4) - 1 = 16 - 1 = 15[/tex]
[tex]MW = VM = 15[/tex]
The total length is:
[tex]T = VM + MW = 15 + 15 = 30[/tex]
The length of the line segment is of 30 units.
A similar problem is given at https://brainly.com/question/24352869
A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is the sum of the squared deviations of the scores from the mean?
Answer:
26
Step-by-step explanation:
Subtract the mean (84) from each of the four scores, obtaining
2, -3, 3, - 2
These are the "deviations."
Next, square each of these four deviations, obtaining
(2)^2 = 4, and:
(-3)^2 = 9, and:
(3)^2 = 9, and:
(-2)^2 = 4
Then the sum of the squared deviations of the scores from the mean is 26.
I don’t really know how to do this, could anyone help? :)
I need the answer please
Answer:
D - All rational numbers are integers.
Step-by-step explanation:
This is because integers is a subcategory of rational numbers, so there are other rational numbers that aren't integers.
Question is down below
Answer:
B
Step-by-step explanation:
p(x) = x² - 2√2x + 1
p(2√2) = (2√2)² - 2√2*2√2 + 1
=2²*(√2)² - 2*2*√2*√2 + 1
= 4 *2 - 4*2 + 1
= 8 - 8 + 1
= 1
Answer:
B
Step-by-step explanation:
Given
p(x) = x² - 2[tex]\sqrt{2}[/tex] x + 1, then
p(2[tex]\sqrt{2}[/tex] )= (2[tex]\sqrt{2}[/tex] )² - 2[tex]\sqrt{2}[/tex](2[tex]\sqrt{2}[/tex] ) + 1 = 8 - 8 + 1 = 1 → B
Nate has written 4 paragraphs of an essay for his English class so far. He can write a paragraph
2
every 3 of an hour. Write an expression for the number of paragraphs in Nate's essay after h,
hours.
3h * 2
three hours every two paragraph
Apples are on sale for $0.85 per pound. Darla has a $5 bill. About how many pounds of apples can she buy?
Answer:
5
Step-by-step explanation:
The number of pounds of apples that she can buy will be 5.88 pounds.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Apples are on sale for $0.85 per pound. Darla has a $5 bill.
The number of pounds of apples that she can buy will be calculated as,
⇒ $5 / $0.82
⇒ 5.88 pounds
The number of pounds of apples that she can purchase will be 5.88 pounds.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Select the correct answer. Solve for x. (x - 4)(x - 4) = 0 A. -16 B. -4 C. 4 D. 16
Answer:
C. 4
Step-by-step explanation:
To solve, set each parenthesis equal to the opposite side (0 in this case).
(x - 4)(x - 4) = 0
x - 4 = 0
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides:
x - 4 (+4) = 0 (+4)
x = 0 + 4
x = 4
Do the same for the other parenthesis:
x - 4 = 0
x - 4 (+4) = 0 (+4)
x = 0 + 4
x = 4
C. 4 is your answer.
~
Answer:
Hey there!
(x-4)(x-4)=0
(x-4)^2=0
x-4=0
x=4
The correct answer would be C.
Let me know if this helps :)
What Is a domain of a function?
Answer: a set of all possible inputs for the function.
Step-by-step explanation:
Answer: A domain of a function is all set of inputs that make the function definable.
Step-by-step explanation:
Plot A(−3,−1), B(−3,2), C(6,9), and D(3,9) in a coordinate plane. Are AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ congruent? Yes No
Answer:
Yes
Step-by-step explanation:
The given points are A(−3,−1), B(−3,2), C(6,9), and D(3,9).
Plot these points on a coordinate plane as shown in the below graph.
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using this formula, we get
[tex]AB=\sqrt{(-3-(-3))^2+(2-(-1))^2}[/tex]
[tex]AB=\sqrt{(0)^2+(3)^2}[/tex]
[tex]AB=3[/tex]
[tex]CD=\sqrt{(3-6)^2+(9-9)^2}[/tex]
[tex]CD=\sqrt{(-3)^2+(0)^2}[/tex]
[tex]CD=3[/tex]
Since AB=CD, therefore the required answer is yes, AB and CD are congruent.
Classify each of the following numbers as real, whole, integer, rational or irrational. Some numbers will have more than one classification. 1. -98 2. 1.98 3. 1270 4. 1,232,323
59. What happens to the graph of y = |x| when the equation changes to y = |x + 4? A The graph shifts up 4 units. The graph shifts left 4 units. B с The graph shifts right 4 units. D The graph shifts down 4 units.
Answer: Graph shifts 4 units to the left
Explanation:
I'm assuming you meant to say y = |x+4|
If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.
Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|
The 2017 population of California was 39536653 and of Arizona was 7016270. Compute and compare the rate of pedestrian fatalities per 100,000 residents.
Answer:
The pedestrian fatality rate for California per 100,000 residents would be;
= (858/39,536,653) * 100,000
= 2.17 people per 100,000
In Arizona that figure is;
= (216/7,016,270) * 100,000
= 3.08 people per 100,000
This shows that even though California has a higher number of pedestrian fatalities in absolute terms, when this figure is made relative to population, Arizona has more pedestrian fatalities.
José sale de su casa con $50 y gasta 4/5 en el cine y 1/10 en chocolates, ¿qué fracción del
total ha gastado?
Answer:
9/10
Step-by-step explanation:
what statement is true about the angles in triangle PQR
Answer:
(C) The sum of the measures of ∠P, ∠Q, and ∠R is 180°
Step-by-step explanation:
All triangles, when their three angles are added up, gets us 180°.
This goes without saying, even with scalene triangles.
Additionally, the angles in squares add up to 360°, the angles in a pentagon add up to 540°.
Hope this helped!
Ms. Davis' is one less than 7 dozen. Ms. Davis is 7.2 more than 60% of her mother's age. Ms. Davis daughter is 3.5 more than 1/2 her mother's age. How old are ms. Davis, her mom, and her daughter?
Answer:
Ms. Davis=83 years
Her mom=126.33 years
Her daughter=66.67 years
Step-by-step explanation:
Let her mother's age=x
Ms. Davis= 7 dozens - 1
=(7*12)-1
=84-1
= 83 years
Ms. Davis= 7.2 + 60% of x
83=7.2 + .6x
83 - 7.2= .6x
75.8= .6x
Divide both sides by .6
75.8 / .6 = x
126.33 years
Ms. Davis daughter = 3.5 + 1/2 of x
=3.5 + 1/2(126.33)
=3.5 + 126.33 / 2
=3.5 + 63.165
=66.665
Approximately 66. 67 years
Without simplifying, select all the expressions that represent a rational number. Group of answer choices LaTeX: 4\frac{2}{3}+\frac{\sqrt{3}}{9} 4 2 3 + 3 9 4 2 3 + 3 9 4 2 3 + 3 9 LaTeX: 4\frac{2}{3}\times\frac{8}{\sqrt{3}} 4 2 3 × 8 3 4 2 3 × 8 3 4 2 3 × 8 3 LaTeX: 4\frac{2}{3}-\frac{\sqrt{4}}{8} 4 2 3 − 4 8 4 2 3 − 4 8 4 2 3 − 4 8 LaTeX: 4\frac{2}{3}\times\frac{\sqrt{3}}{9} 4 2 3 × 3 9 4 2 3 × 3 9 4 2 3 × 3 9 LaTeX: 4\frac{2}{3}\div\frac{\sqrt{4}}{8}
Answer:
Option C.
Step-by-step explanation:
We know the following properties,
1. Product of an irrational number and a non-zero rational number is always an irrational number.
2. Sum of a rational and an irrational number is always an irrational number.
3. Sum or products of rational numbers are always a rational number.
In option A,
[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex]
Here, [tex]\sqrt{3}[/tex] is an irrational number.
[tex]\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 1.
[tex]4\frac{2}{3}+\frac{\sqrt{3}}{9}[/tex] is an irrational number using property 2.
So, using the above properties we can say that this expression represents an irrational number.
Similarly,
In option B,
[tex]4\frac{2}{3}\times\frac{8}{\sqrt{3}}[/tex]
Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.
In option C,
[tex]4\frac{2}{3}-\frac{\sqrt{4}}{8}[/tex]
Here, [tex]\sqrt{4}=2[/tex], which is a rational number.
So, this expression represents a rational number using property 3.
In option D,
[tex]4\frac{2}{3}\times\frac{\sqrt{3}}{9}[/tex]
Here, [tex]\sqrt{3}[/tex] is an irrational number. So, using the above properties we can say that this expression represents an irrational number.
Therefore, the correct option is C.
The total fertility rate (TFR) of a country is the average number of births per woman in that country. In Country W the TFR went from 5.0 in 1995 down to 3.0 in 2005. What is the percent change in the TFR in Country W from 1995 to 2005
Answer:
Decrease in TFR of 40%.
Step-by-step explanation:
Given that:
TFR (Total Fertility Rate) in 1995 = 5
TFR (Total Fertility Rate) in 2005 = 3
To find:
Percentage change in TFR from 1995 to 2005 = ?
Solution:
First of all, let us have a look at the formula for calculating the percentage change in any quantity.
Let p be the old value and
q be the new value.
Then percentage change is given as:
[tex]Percentage\ change = \dfrac{New\ Value - Old\ Value}{Old\ Value} \times 100[/tex]
Here, Old value is 5
New value is 3.
[tex]Percentage\ change = \dfrac{3 - 5}{5} \times 100\\\Rightarrow Percentage\ change = \dfrac{- 2}{5} \times 100\\\Rightarrow Percentage\ change = - 40\%[/tex]
Negative sign means there is a decrease of 40%.
So, Decrease in TFR of 40% is the answer.
I don’t get it! It says “Match each division expression to it’s quotient.” So can anyone help with 1/12 / 1/6 ? Please!
We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply
1/12 divided by 1/6 = 1/12 * 6/1
-------
From here we multiply straight across.
The numerators multiply to get 1*6 = 6
The denominators multiply to 12*1 = 12
We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6
Final Answer: 1/2If US = 14, find the value of x
Answer:
4-6+2x=14
2x=14+6-4
2x=16
x=8
Step-by-step explanation:
Answer:
Step-by-step explanation:this is easy just find x and times it by 2 and then it will equal 14 so the awser is 7
Which square root is a rational number ? Square root 50, square root 70, square root 81, square root 96
Answer:
square root of 81
Step-by-step explanation:
[tex] \sqrt{81} = 9[/tex]
so 9 is rational number.
the rest are irrational number
The calculator has a broken 1 key and broken 7 key ,and a broken plus key .Write at least on way to make each of the following numbers 17,41,71,.
Answer:
20-3
43-2
73-2
Step-by-step explanation:
subtract bro
Bob's Bike Shack charges a set fee of $6, plus $4 per hour, to rent a bike. If your total bill is $30, how many hours did you rent the bike for?
20
Step-by-step explanation:
30-6=24-4=20 that how you find your a answer
The population of Tel Aviv, Israel was 413,000 in 2003. What is 413,000 rounded to ther nearest hundred-thousand?
Answer:
400,000
Step-by-step explanation:
Tel Aviv Population (2013) - 413,000
413,000 rounded to nearest hundred-thousand = 400,000
Final sum= 400,000. Hope this helps!
Answer: 400,000
The population of Tel Aviv in 013 was 413,000.
We have to round this number to the nearest 100,000.
We get 400,000, so it is the answer.
1. 2.5x + 100 = 600
2. 10 = 2x - 4
3. 2x + 5 = 30
Answer:
1) 200 2) 7 3) 12.5
Step-by-step explanation:
For god's sake, use a calculator
Write yes if the following polygons are regular, and no if they’re not.
Answer:
a. yes
b. no
c. yes
d. yes
e. yes
f. no
Step-by-step explanation:
a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)
A. equilateral triangle, regular
B. is a rectangle and the sides of rectangle are not all equal, thus, not regular
C. octagon, regular
D. flipped pentagon, regular
E. square, regular
F. not normal pentagon, not regular
Answer:
a. yes
b. no
c. yes
d. yes
e. yes
f. no
Step-by-step explanation:
a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)
A. equilateral triangle, regular
B. is a rectangle and the sides of rectangle are not all equal, thus, not regular
C. octagon, regular
D. flipped pentagon, regular
E. square, regular
F. not normal pentagon, not regular