Answer:
Expression for perimeter of rectangle is:
[tex]\bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]
Step-by-step explanation:
Width of rectangle is given as [tex]( 3.1 s - 1.6 )[/tex] centimeters and
length of the rectangle is given as [tex](7.2s - 4.6)[/tex] centimeters.
To find:
The expression to represent the perimeter of rectangle in centimeters.
Solution:
First of all, let us have a look at the formula to calculate the perimeter of a rectangle.
Perimeter of a polygon is equal to sum of all the sides.
In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.
Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.
So, formula:
[tex]Perimeter = 2(l+w)[/tex]
Where [tex]l[/tex] is the length of rectangle and
[tex]w[/tex] is the width of rectangle.
Putting the values of length and width as given in the question statement to find its perimeter:
[tex]Perimeter = 2((3.1s-1.6) +(7.2s-4.6))\\\Rightarrow Perimeter = 2(10.3s-6.2)\\\Rightarrow \bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]
alya collected 3 1/5 pounds of newspaper for the recycling Drive Rudy collected 4 1/5 times as much newspaper as a liar how many pounds of newspaper did Rudy collect
Answer:
13.44 pounds
Step-by-step explanation:
3.2x4.2=13.44 or 13 and 11/25
13.44 pounds of newspapers were collected by Rudy.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that alya collected [tex]3\frac{1}{5}[/tex] pounds of newspaper for the recycling Drive
Rudy collected [tex]4\frac{1}{5}[/tex] times as much newspaper as a liar
We need to find how many pounds of newspaper did Rudy collect.
Let us convert [tex]3\frac{1}{5}[/tex] as improper fraction
[tex]3\frac{1}{5}[/tex]=16/5
[tex]4\frac{1}{5}[/tex] =21/5
As Rudy collected 4 1/5 times as much newspaper of alya
So multiply 16/5 with 21/5
16/5×21/5
3.2×4.2
13.44 pounds
Hence, 13.44 pounds of newspapers were collected by Rudy.
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Write the sum of the numbers as the product of their GCF and another sum. But for 27 + 18. And put an answer that i can copy word for word for my homework. Thanks!
Answer: 9(3+2)
Step-by-step explanation:
The GCF of 27 and 18 is 9 because the factors of 27 are, 1,3,9 and 27 and the the factors of 18 are, 1,2,3,9 and 18.
The greatest factor that they both share is 9.
And 9 times three is 27 and 9 times 2 is 18.
PLEASE HELPPP!!!!
Solve -2x-14=7X+6 for x. Round your answer to the nearest tenth.
Answer:
x = -2.2Step-by-step explanation:
[tex]-2x-14=7x+6\\\\\mathrm{Add\:}14\mathrm{\:to\:both\:sides}\\-2x-14+14=7x+6+14\\\\Simplify\\-2x=7x+20\\\\\mathrm{Subtract\:}7x\mathrm{\:from\:both\:sides}\\-2x-7x=7x+20-7x\\\\Simplify\\-9x=20\\\\\mathrm{Divide\:both\:sides\:by\:}-9\\\frac{-9x}{-9}=\frac{20}{-9}\\\\x=-\frac{20}{9}\\\left(\mathrm{Decimal}:\quad x=-2.22222\dots \right)\\x =-2.2[/tex]
Answer:
x = -2.2
Step-by-step explanation:
-2x - 14 = 7x + 6
-2x - 7x = 6 + 14
-9x = 20
x = 20/-9
x = -2.2222
x = -2.2 (nearest tenth)
Check
-2*-2.2 - 14 = 7*-2.2 + 6
4.4 - 14 = -15.4 + 6 = -9.6
i don’t think a is the correct answer. the dependent variable
1. A line segment partitioned by a ratio of 3:4 can be thought of as having ______ congruent sections
● 3
● 4
●7
●12
Answer:
7
Step-by-step explanation:
A line segment partitioned by a ratio of 3:4 can be thought of as having 7 congruent sections
According to the ratio in which it is partitioned, the line segment can be thought as having 7 congruent sections.
In how many segments a line segment can be partitioned?If it can be divided into a ratio of a:b, it can be partitioned into a + b congruent segments.
In this problem, it has a ratio of 3:4, hence, the line segment can be thought as having 7 congruent sections.
More can be learned about line segments at https://brainly.com/question/4854238
convert 4.56 milligrams to grams
Answer:
4.56miligrams-->0.00456 g
Step-by-step explanation:
4.56miligrams-->0.00456 g
You simply add 3 zeros before it because 1000 miligrams=1 gram, and there are 3 zeros in 1000.
evaluate n/6+2 when n=12
Answer:
4
Step-by-step explanation:
Answer:
[tex] \frac{3}{2} \: or \: 1.5 [/tex]
Step-by-step explanation:
[tex] \frac{12}{6 + 2} = \frac{12}{6 + 2} = \frac{12}{8} = \frac{6}{4} = \ \frac{3}{2} \: or \: 1.5[/tex]
Grandma Susette is making a quilt. If the area of the
quilt is 24 3/5 square feet and one side has a length of
4 1/10,what is the width of the quilt?
Answer:
width = 6 ft
Step-by-step explanation:
let A = 24 3/5 = (24*5 +3)/5 = 123/5 ft^2 the area
l = 4 1/10 = (4*10 + 1)/10 = 41/10 ft the length
w = the width, w>0
since the area = length*width we have:
l*w = A
(41/10)*w = 123/5
by solving we find:
w = 6 ft
Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a
square pyramid and is covered in shiny gold foil.
3 in
How much gold foil did it take to cover the trophy, including the bottom?
inches
Do 4 problems Oo oo
Check
This question is Incomplete because it lacks the appropriate diagram for the square pyramid. Please kindly find attached the required diagram
Answer:
45 square inches
Step-by-step explanation:
From the question, we are told that the foil covers the body of the trophy including the bottom, hence the formula we would be applying =
Total Surface Area of the Square pyramid = 2bs + b²
Where s = Height of the square pyramid
b = Edge length of the square pyramid
From the attached diagram, we can see that:
s = 6 inches
b = 3 inches
Total Surface Area of the Square pyramid = 2bs + b²
= 2 × 3 × 6 + 3²
= 36 + 9
= 45 square inches.
Therefore, the amount of gold foil it took to cover the trophy, including the bottom is 45 square inches
A water tank is 1•2m square and 1•35m deep. It is half full of water. How many times can a 9-litre bucket be filled from the tank
Answer:
180
Step-by-step explanation:
Volume = base * height(depth)
V=1.2*1.35=1.62 m³
1 m³=1000 liter
1.62*1000=1620 liter
1620/9=180 ( 9 liter bucket)
Identify the conditionals and truth values implied by the following biconditional. Select all that apply.
Two lines are parallel if and only if they do not intersect.
A. If two lines are parallel, then they do not intersect; T.
B. If two lines are not parallel, then they intersect; F.
C. If two lines do not intersect, then they are parallel; T.
D. If two lines do not intersect, then they are parallel; F.
Answer:
A
Step-by-step explanation:
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
Of the four of the given options, the options that are true are A and C, but since option, A says If two lines are parallel, then they do not intersect; T. Therefore, in the given option the result is given first and then the condition.
Opposite of that option C says If two lines do not intersect, then they are parallel; T. Therefore, it states the condition and then the answer. Thus, it is the correct option.
Hence, the correct option is C.
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Answer each question.
1. Determine the type of graph for each function.
a. f(x) = 3x + 1
b. f(x) = x - 6x + 5
c. f(x) = 4x - x + 1
Need help with these Linear or Quadratic functions
Answer:
A: Linear
B: Linear
C: Linear
Step-by-step explanation:
So we have three functions:
[tex]f(x)=3x+1\\f(x)=x-6x+5\\f(x)=4x-x+1[/tex]
To determine the type of graph for each function, simplify each of them and then we can determine whether it's linear or quadratic.
1)
We have:
[tex]f(x)=3x+1[/tex]
This has a degree of 1. Quadratics have a degree of 2. In other words, quadratics have a x^2 term. There isn't one here, so this is a linear equation.
2)
We have:
[tex]f(x)=x-6x+5[/tex]
Simplify:
[tex]f(x)=-5x+5[/tex]
Again, this is of degree 1. There is no x^2 term. Thus, this is also a linear equation.
3)
We have:
[tex]f(x)=4x-x+1[/tex]
Simplify:
[tex]f(x)=3x+1[/tex]
This has a degree of 1. There is no x^2 term. Thus, this is also a linear equation.
Answer:
Step-by-step explanation:
a- f(x)=3x+1 it is linear equation
b: f(x)=x-6x+5
f(x)=-5x+5 linear equation
c: f(x)=4x-x+1
f(x)=3x+1 (linear equation)
(if there is no exponent then the graph is linear)
A biologist puts an initial population of 500 bacteria into a growth plate. The population is expected to double every 4 hours. Write the equation that will give the expected number of bacteria, n, after x days. (24 hours = 1 day)
Answer:
[tex]n = 500e^{-4.1589x}[/tex]
Step-by-step explanation:
Using the exponential growth equation [tex]N(t) = N_0e^{-kt}[/tex] where;
N₀ is the initial population of the bacteria
N(t) is the population of the bacteria during time t
If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0
[tex]N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500[/tex]
If the population is expected to double every 4 hours, this means when t = 4, N₀ = 2(500) = 1000
[tex]N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733[/tex]
The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours
[tex]N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}[/tex]
Hence the equation that will give the expected number of bacteria, n, after x days is [tex]n = 500e^{-4.1589x}[/tex]
a²+12a=-32 if possible with explaination please!!
Answer:
-8
Step-by-step explanation:
Answer:
a = -4
a= -8
Step-by-step explanation:
[tex]a^2+12a=-32\\\\\mathrm{Add\:}32\mathrm{\:to\:both\:sides}\\a^2+12a+32=-32+32\\\\Simplify\\a^2+12a+32=0\\\\Solve\:by\:factoring\\\mathrm{Factor\:}a^2+12a+32:\quad \left(a+4\right)\left(a+8\right)\\\\\mathrm{Solve\:}\:a+4=0:\quad a=-4\\\mathrm{Solve\:}\:a+8=0:\quad a=-8\\\\a=-4,\:a=-8[/tex]
help pls brainliest plus 10 pts
i think its -15 can u check ?
Answer:
-15 meters
Step-by-step explanation:
If it goes up 50 meters from the ground, it will be 0+50 which is 50.
Then it says it drops 65 meters into an underground tunnel. So at 50 meters, it dropped 65 meters. That means you subtract this: 50-65, which equals -15 meters because 50 goes into 65 but there is still 15 left, so the 15 is negative.
The ground level is at 0. And we just found out that the tunnel is at -15 meters. To find out how many meters the tunnel is below the ground, just do 0-15, which is still -15 meters. :)
What is the power of 10 when 0.00503 is written in scientific notation
no there are no answer choices
Step-by-step explanation:
i hope it helped you. thankyou
PLSSSS HELLLPPP WILL GIVE BRAINLIESTTT!!!!!!!!!
Answer:
1/2
Step-by-step explanation:
from one point to another it goes up 1 and over two. so rise over run, 1 over 2
Answer:
1/2 or .5
Step-by-step explanation:
to find slope of a line, you can count the rise, or fall, of a line over its left and right direction. the line rises one and to the right 2 between each point, which makes the slope 1/2. we know the slope is positive because the line moves upwards.
Uma urna contém 10 bolas brancas,5 vermelhas e 4 pretas,todas iguais e indistinguiveis ao tato . Retirando-se uma bola ao acaso ,qual a probabilidade de ela não ser preta?
Answer:
15/19
Step-by-step explanation:
Nesta pergunta, queremos calcular a probabilidade de que uma bola retirada da urna não seja preta.
Existem três cores, uma vez que a bola removida não é preta, então é uma das outras duas cores.
Isso significa que a bola é branca ou vermelha. Observe que a probabilidade de a bola não ser preta é 1 menos a probabilidade de a bola ser preta Vamos descobrir a probabilidade de que a bola seja preta;
Matematicamente, isso seria;
número de bolas pretas / número total de bolas.
O número total de bolas é; 10 + 5 + 4 = 19 número de bolas pretas = 4
A probabilidade de a bola ser preta é de 4/19
Portanto, a probabilidade de que a bola não seja uma bola preta é
1 - 4/19 = 15/19
SAVE ME. Please Answer my Questions Clevers.
Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:
A. Prime numbers,
B. Composite numbers,
C. Divisible by three,
D. Square of 2.
Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?
Q3. what is the solution set of
9x-4<13x-7 (domain, xez) ?
Q4. if three fourth of a number is one tenths, what is the number?
Q5. which one is the equation of the line passing through the origin and having a slope 4?
A. Y= -0.4x
B. Y= 4x
C. Y= -4x
D. Y= 0.4x
Answer:
See below
Step-by-step explanation:
Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:
Counting numbers are Natural numbers: [tex]\mathbb{N}[/tex]
Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as [tex]\mathbb{Z}_{\ge 0}[/tex]
Whole numbers less than or equal to 20: [tex]A\leq 20, A \subset \mathbb{Z}_{\ge 0} \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}[/tex]
A. Prime numbers
From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.
Once we have 21 numbers in total and 8 prime numbers, the probability is:
[tex]$P=\frac{8}{21} \approx 40\%$[/tex]
B. Composite numbers
From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.
Once we have 21 numbers in total and 11 composite numbers, the probability is:
[tex]$P=\frac{11}{21} \approx 52\%$[/tex]
C. Divisible by three
From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.
Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:
[tex]$P=\frac{6}{21} \approx 30\%$[/tex]
D. Square of 2
From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.
[tex]\sqrt{0} =0[/tex]
[tex]\sqrt{1} =1[/tex]
[tex]\sqrt{4} =2[/tex]
[tex]\sqrt{9} =3[/tex]
[tex]\sqrt{16} =4[/tex]
Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:
[tex]$P=\frac{5}{21} \approx 24\%$[/tex]
Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?
Once they're opposite, they add up to 180º
[tex]2x+3x=180 \implies 5x=180 \implies x=36[/tex]
The first angle is 72º
The second angle is 108º
Q3. what is the solution set of 9x-4<13x-7 (domain, x e z) ?
[tex]x \in \mathbb{Z}\\[/tex]
[tex]$x>\frac{3}{4} $[/tex]
[tex]$x\in \left(\frac{3}{4},\infty \right)$[/tex]
Q4. if three fourth of a number is one tenths, what is the number?
[tex]$\frac{3}{4} x =\frac{1}{10} \implies 3x=\frac{4}{10} \implies \boxed{x = \frac{2}{15}} $[/tex]
Q5. which one is the equation of the line passing through the origin and having a slope 4?
[tex]y=mx+b[/tex]
[tex]m: \text{slope}[/tex]
[tex]b: \text{y-intercept}[/tex]
B. Y= 4x
What are the next three terms of the geometric sequence?
2, 6, 18, ...
A: 36, 108, 324
B: 36, 72, 144
C: 38, 66, 102
D: 54, 162, 486
Answer:
D: 54, 162, 486
Step-by-step explanation:
2, 6, 18 are all mulitplyed by 3 thus D: 54, 162, 486
Use absolutely value to express the distance between 10 and -4
Answer:
16
Step-by-step explanation:
Answer:
The answer 14
Step-by-step explanation:
Olivia are two times as much salad as Reagan. If Reagan ate R salad, which equation can be used to find the amount of salad Olivia are, v?
================================================
Explanation:
r = amount of salad Reagan ate
v = amount of salad Olivia ate
"Olivia ate twice as much as Reagan", meaning
amount Olivia ate = 2*(amount Reagan ate)
v = 2*r
v = 2r
2r = v
All of the following can be found on a political map EXCEPT:
a. boundaries
b. capital cities
C. major cities
d. highways
Please select the best answer from the choices provided
Answer:
A.
Step-by-step explanation:
If there are 35% women and 1560 men in a town find the total population of the town.
Answer:
2400Step-by-step explanation:
x - total of population
35%x - women
1560 - men
35%x + 1560 = x
0.35x + 1560 = x
1560 = x - 0.35x
0.65x = 1560
÷0.65 ÷0.65
x = 2400
Find the coordinates of the midpoint M and the distance between J(4,3) and K(2,-3)
Answer:
(3,0)
Step-by-step explanation:
Co-ordinates of J =(4,3)
Co-ordinates of K = (2,-3)
Midpoint formula :
= [tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} \\ \frac{4+2}{2} ,\frac{3+(-3)}{2}\\\frac{6}{2},\frac{3-3}{2}\\3, 0[/tex]
Coordinates of the midpoint M (3,0)
The coordinates of the midpoint M is (3,0) and the distance between J(4,3) and K(2,-3) is 6.32 units.
What is distance formula?The distance between two points of the xy-plane can be found using the distance formula. The distance formula is:
√[(x₂ - x₁)² + (y₂ - y₁)²].
Now given coordinates of two points are,
J(4,3) and K(2,-3)
Therefore we have,
x₁ = 4
y₁ = 3
x₂ = 2
y₂ = -3
To find the midpoint between J and K we have,
{[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}
Put the values, we get
{[(4+2)/2] , [(3+(-3)/2]}
solving them,
{(6/2) ,(0/2)}
or,
(3,0)
which is the required midpoint M.
Now distance between J(4,3) and K(2,-3) = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 4)² + (-3 - 3)²]
= √[(- 2)² + (-6)²]
= √4 +36
= √40
= 6.32 units
Thus, the coordinates of the midpoint M is (3,0) and the distance between J(4,3) and K(2,-3) is 6.32 units.
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Suppose you see a lightning flash and hear a thunder clap exactly 10 seconds later. The speed of sound is 1080 feet per second and there are 5280 feet in a mile. Estimate, to the nearest half mile, how many miles you are from the lightning flash. Assume the speed of light is infinite.
Answer:
[tex]\approx 2\ miles[/tex]
Step-by-step explanation:
Difference of 10 seconds between the lightning flash and its thunder clap.
Given that the speed of light is infinite.
So, lightning will be seen at the same time it happens.
10 seconds is the time taken by the sound to reach to the person.
Time taken = 10 seconds
Speed of sound = 1080 ft/sec
To find:
Distance from lightning flash in miles.
Solution:
First of all, let us a have a look at the formula:
[tex]Distance = Speed \times Time[/tex]
Putting the given values:
Distance = [tex]1080\times 10 = 108000\ feet[/tex]
5280 feet = 1 mile
1 feet = [tex]\frac{1}{5280}[/tex] miles
10800 feet = [tex]\frac{1}{5280}\times 10800 \approx 2\ miles[/tex]
|x - 7| - |x - 2| = 3
hi please help, thank you!!
Answer:
-10
Step-by-step explanation:
a - b = 7 - (-3) = 7 + 3 = 10
--> | a - b | = 10
--> - | a - b | = -10
Find −a2 − 3b3 + c2 + 2b3 − c2 if a = 3, b = 2, and c = −3.
Answer:
-17
Step-by-step explanation:
Ans. - 17
We just substitute the values of a, b and c and find the answer
Please anybody, help me
Answer:
[tex]k=5.2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]9.3=k+4.1[/tex]
To solve for k, subtract 4.1 from both sides:
[tex](9.3)-4.1=(k+4.1)-4.1[/tex]
The right cancels. Simplify the left:
[tex]5.2=k\\k=5.2[/tex]
Thus, the value of k is 5.2
Answer:
[tex]\huge \boxed{k=5.2}[/tex]
Step-by-step explanation:
[tex]9.3=k+4.1[/tex]
Subtract 4.1 from both sides.
[tex]9.3-4.1=k+4.1-4.1[/tex]
[tex]5.2=k[/tex]