Which pair shows equivalent expressions?2(3x+ 2) = 23 x+1
21ę x+ 2) = x+4
2c
21= x+4)= 2
Answers
Answer:
Option (2)
Step-by-step explanation:
Option (1).
[tex]2(\frac{2}{5}x+2)=2\frac{2}{5}x+1[/tex]
[tex]\frac{4x}{5}+4=\frac{12}{5}x+1[/tex]
Therefore, both the sides of the expression are not equal.
False.
Option (2).
[tex]2(\frac{2}{5}x+2)=\frac{4}{5}x+4[/tex]
[tex]\frac{4x}{5}+4=\frac{4}{5}x+4[/tex]
True.
Option (3).
[tex]2(\frac{2}{5}x+4)=\frac{4}{5}x+2[/tex]
[tex]\frac{4}{5}x+8=\frac{4}{5}x+2[/tex]
False.
Option (4).
[tex]2(\frac{2}{5}x+4)=2\frac{2}{5}x+8[/tex]
[tex]\frac{4x}{5}+8=\frac{12}{5}x+8[/tex]
Both the sides are not equal.
False.
Related Questions
guys pls help me I need to know which one is composite!!!
Which is a composite number?
33
43
19
3
Answers
Answer:
33 is a composite number ;)
prove the given identity
Answers
Step-by-step explanation:
tan(2x) = sin(2x)/cos(2x) = 2sinxcosx/(cos^2x - sin^2x).
Dividing the num- and denominator by sinxcosx, we get
2/(cosx/sinx - sinx/cosx) = 2/(cotx - tanx)
cotA + cotB = cosA/sinA + cosB/sinB
We just add them like fractions, with a common denominator of sinAsinB
(cosAsinB + sinAcosB)/sinAsinB
Note that sinAcosB + sinBcosA = sin(A+B)
Therefore we have
sin(A+B)/sinAsinB
If one inch represents 14 feet what dimensions would you use to make a scale drawing of a building 44 feet by 50 feet?
Answers
djdjrjdjdjdjdjdjfhdjfjjddhdjdhdjehejdhehehrhehejdhdhdhdhdgdhdhdhdhdjdhdhdhdhhdhdhdhdjdhdhdhdhdhdhdhfhhdhdhdhdhfhfhhfhfhfhhshd
please help me I need good grades!!!!
<3
Answers
Answer: 2 batches
Step-by-step explanation: 2 2/3 divided by 1 1/3 = 2
Is the binomial a factor of the polynomial function?
f(x) = x^3 + 3x^2 – 25x – 75
Select Yes or No for each binomial.
Answers
Answer:
Yes, the binomial is a factor of the polynomial function.
Step-by-step explanation:
Consider the given polynomial.
Factor out the common term [tex]x^2[/tex] from the first two terms and [tex]-25[/tex] from the last two terms.
[tex]x^3 + 3x^2 -25x-75=x^2(x+3)-25(x+3)[/tex]
Factor out the polynomial.
[tex]x^2(x+3)-25(x+3)=(x+3)(x^2-25)[/tex]
Further, simplify.
[tex](x+3)(x^2-25)=(x+3)(x+5)(x-5)[/tex]
Therefore, [tex]x^3 + 3x^2 -25x-75=(x+3)(x+5)(x-5)[/tex]
A binomial factor is simply a factor with two terms, like (x - a).
Hence, the given polynomial function is binomial as it contains the factor with two terms, like (x - a).
Answer:
Yes No
Yes(x+3) No (x−1)
Yes – (x−5)
Yes – (x+5) No – (x−3)
Step-by-step explanation:
Hello future k12/brainly users
pls give FelisFelis upvotes and thanks because they gave the original answer and were downvoted despite being right mostly because whoever downvoted them (calling you out 5 downvoters) didn't take the time to read the explanation correctly.
10 snails is to be chosen from this population. Find the probability that the percentage of streaked-shelled snails in the sample will be (a) 50%. (b) 60%. (c) 70%.
Answers
Here is the full question:
[tex]The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color[/tex][tex]forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the[/tex][tex]individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails[/tex][tex]is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of[/tex]
[tex]streaked-shelled \ snails \ in \ t he \ sample \ will \ be[/tex]
[tex](a) 50\%. \ (b) 60\%. \ (c) 70\%.[/tex]
Answer:
(a) 0.2007
(b) 0.2510
(c) 0.2150
Step-by-step explanation:
Given that:
The sample size = 10
Sample proportion= 60% 0.6
Let X represents the no of streaked-shell snails.
[tex]X \sim Binom (n =1 0, p = 0.60)[/tex]
The Probability mass function (X) is:
[tex]P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...[/tex]
The Binomial probability with mean μ = np
= 10 * 0.6
= 6
Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]
= [tex]\sqrt{10*0.6*(1-0.6)}[/tex]
= 1.55
The probability that the percentage of the streaked-shelled snails in the sample will be:
a)
[tex]P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]
[tex]= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}[/tex]
[tex]= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}[/tex]
= 0.2007
b)
[tex]P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]
[tex]= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}[/tex]
[tex]= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}[/tex]
= 0.2510
c)
[tex]P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]
[tex]= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}[/tex]
[tex]= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}[/tex]
= 0.2150
Please helppppppp!!!!!!! I need the answer quick and please be correct of you don’t know it don’t answer I beg you.
Answers
Answer:
A
Step-by-step explanation:
the domain is the x value
range y value
Help Me fast please
2[3(4²+1)]-2³
Answers
Answer:
94
Step-by-step explanation:
Answer:
94
Step-by-step explanation:
Find the distance between the two points and simplest rational form (3,-4) (6,-7))
Answers
Answer:
[tex]D = 3\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,-4)[/tex]
[tex](x_2,y_2) = (6,-7)[/tex]
Required
Determine the distance between the two points
Distance (D) is calculated as:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Substitute values for x's and y's
[tex]D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}[/tex]
[tex]D = \sqrt{(6 - 3)^2 + (-7 +4)^2}[/tex]
[tex]D = \sqrt{(3)^2 + (-3)^2}[/tex]
[tex]D = \sqrt{9+9}[/tex]
[tex]D = \sqrt{18}[/tex]
Express as 9 * 2
[tex]D = \sqrt{9*2}[/tex]
Split:
[tex]D = \sqrt{9}*\sqrt{2}[/tex]
[tex]D = 3*\sqrt{2}[/tex]
[tex]D = 3\sqrt{2}[/tex]
The points (10,16) and (30,48) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answers
Answer:
1.6
Step-by-step explanation:
Step one:
given data
x1=10
y1=16
x2=30
y2=48
Required
The slope of the given points
Step two:
The expression for the slope is
S= change in y/change in x
S= y2-y1/x2-x1
S= 48-16/30-10
S=32/20
S=1.6
Hence the slope is 1.6
John went on a bike ride to the store 4 miles away. If it took John 310 of an hour to get there and 12 of an hour to get back, what was his average rate of speed (miles per hour) for the entire trip?
Answers
Answer:
/???
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Graph the system below and write its solution.
y = -x+2
-2x-2y=-6
Note that you can also answer "No solution" or "Infinitely
Answers
Answer:
No solution.
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution set to the systems of equations.
If the 2 lines are parallel, then they will have no solution.
If the 2 lines are the same, then they will have infinite amount of solutions.
According to the graph, our lines are parallel. Therefore, we have no solution.
Holly earns $15 per hour tutoring students after school. If Holly tutored for 3 hours this month, how much money did she earn this month? help pls
Answers
Answer:
$45
Step-by-step explanation:
Per hour = $15
3 hours = $?
15 x 3
45
If AUVW~ ARST, what is the value of x?
Enter your answer in the box.
V
30
w
S
42
X T
21
U
R
X =
Answers
Answer:120
Step-by-step explanation:
Please help this is timed!!!!
Answers
Answer:
C and D
89 _> 12.50t -14
+14 +14
103 _> 12.5t
/12.5 /12.5
8.24 _> t
What is the solution to the equation 1/4x+2=-5/8x-5?
O X=-8
O X=-7
O X=7
O X=8
Answers
Answer:
The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]
Option A is correct option.
Step-by-step explanation:
What is the solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]
Solving the equation
[tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]
Subtracting 2 on both sides
[tex]\frac{1}{4}x+2-2=\frac{-5}{8}x-5-2\\\frac{1}{4}x=\frac{-5}{8}x-7[/tex]
Adding 5/8x on both sides
[tex]\frac{1}{4}x+\frac{5}{8}x=\frac{-5}{8}x-7+\frac{5}{8}x\\\frac{2x+5x}{8}=-7 \\\frac{7x}{8}=-7[/tex]
Multiply both sides by 8/7
[tex]\frac{7x}{8}\times \frac{8}{7}=-7 \times \frac{8}{7}\\x=-8[/tex]
So, we get x = -8
The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]
Option A is correct option.
What is the tangent ratio for
Answers
Answer:
Tangent ratio is the ratio of opposite side to adjacent side of a right triangle. Same as the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right angle triangles.
Step-by-step explanation:
a speaker uses electrical energy to play music and then in this example which type of energy has the electrical energy being transformed into A. heat b. light C. motion D. sound
Answers
Answer:
D sound
Step-by-step explanation:
i belive is sound
Answer:
sound
Step-by-step explanation:
speakers make sound waves, not motion, light, or heat.
in a factory, a machine produces 2000 bolt for every 50 pounds of steel used. How many bolt will the machine produce if 255 pounds of steel are used?
Answers
Answer:
10,500
Step-by-step explanation:
10,200
you divide 255÷50 and it gives you 5.1
then you just multiply 2000×5.1
Develop an estimate for each of the following situations.(at) The cost of a 500-mile automobile trip, if gaso-line is $4 per gallon, vehicle wear and tear is$0.65 per mile, and our vehicle gets 25 miles pergallon.(b) The total number of hours in the average humanlife, if the average life is 75 years.(c) The number of days it takes to travel around the equator using a hot air balloon, if the balloon
Answers
Answer:
The answer is below
Step-by-step explanation:
develop an estimate for each of the following situations.
(a) The cost of a 500- mile automobile trip, if gasoline is $4.00 per gallon, vehicle wear and tear is $0.65 per mile, and our vehicle gets 25 miles per gallon.
(b) The total number of hours in the average human life, if the average life is 75 years.
(c) The number of days it takes to travel around the equator using a hot air balloon, if the balloon averages 100 miles per day, the diameter of the earth is ~4,000 miles.
Solution:
a) The total trip = 500 mile
Cost of wear and tear = $0.65 per mile = $0.65 * 500 mile = $325
25 miles takes 1 gallon of gasoline at a cost of $4 per gallon
Cost of gasoline = $4 per gallon * 500 miles / 25 miles per gallon = $80
cost of a 500-mile automobile trip = Cost of wear and tear + Cost of gasoline = $325 + $80 = $405
b) Average life of human = 75 years.
1 year = 365 days, 1 day = 24 hours
Average life of human in hours = 75 years * 365 days * 24 hours =657000 hours
c) Diameter of earth = 4000 miles
Distance of equator = diameter of earth = 4000 miles
100 mile per day
number of days for the balloon to travel round the earth = 4000 miles / (100 mile per day) = 40 days
Which graph best represents an increasing function? (1 point)
A graph shows a straight line that joins the ordered pairs 3, 0 and 3,5.
A graph shows a straight line that joins the ordered pairs 0, 2 and 5, 2.
A graph shows a straight line that joins the ordered pairs 0, 5 and 5,0.
A graph shows a straight line that joins the ordered pairs 0,0 and 5,5.
Answers
Answer:
D
Step-by-step explanation:
a = w + 5
The variable w represents the number of weeks he has attended culinary school, and the variable a represents the total number of appetizer recipes he knows. After how many weeks of culinary school will Noah know a total of 18 appetizer recipes?
Answers
Answer:
13
Step-by-step explanation:
a = w + 5
18 = w + 5 [subtract 5 from both sides of equation]
13 = w
1/3 2/7 Common
Denominator: ________
Answers
Answer:
21
Step-by-step explanation:
btw is it LDC or GCD?
PLS HELP BRAINLIEST ND EXTRA POINTS !
From the trade fairs in France, Germany, and Holland, river and land trade routes carried goods such as wool, wheat, and precious metals into the region. The widespread trade that stretched from Egypt to the Baltic created large financial surpluses that allowed big investments in mining and agriculture. What region is being described in this passage? A. northern Italy B. sub-Saharan Africa C. northern England D. southern Spain
Answers
Step-by-step explanation:
i think is the answer is d
Northern Italy is described in the passage of trade fairs in France.
Option A is the correct answer.
What are trade fairs?Trade fairs, also known as trade shows or exhibitions, are events where companies showcase their products or services to potential customers, partners, and investors.
We have,
The region described in the passage is not mentioned directly, but it can be inferred that the trade fairs in France, Germany, and Holland were part of a larger trading network that extended from Egypt to the Baltic.
Based on this information, we can eliminate options B, C, and D.
Northern Italy was also an important region for trade and finance during this time period, but it is not explicitly mentioned in the passage.
Therefore,
The most likely answer is Northern Italy.
Thus,
Northern Italy is described in the passage of trade fairs in France.
Learn more about trade fairs here:
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The equation c=0.09sc=0.09s gives the amount cc (in dollars) of commission a salesperson receives for making a sale of ss dollars.
What’s the independent and Dependent variable
Answers
Answer:
independent variable is s and the dependent variable is c
Step-by-step explanation:
Answer:
is not the top it is this
Step-by-step explanation:
The equation c=0.09s represents the amount c (in dollars) of commission a salesperson receives for making a sale of s dollars.
The independent variable is s
.
The dependent variable is c
.
Select all statements that are true about the graph of ordered pair (5, -1).
Answers
Answer:
2nd and 3rd options are the right answers
Step-by-step explanation:
The point is in the fourth quadrant
The point is 1 unit below x axis
Find the equivalent expression.
3+5x−4y+2y−8x
Answers
Answer:
-3x - 2y + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3 + 5x - 4y + 2y - 8x
Step 2: Simplify
Combine like terms (x): -3x - 4y + 2y + 3Combine like terms (y): -3x - 2y + 3Answer:
3+5x−4y+2y−8x is the equivalent ti 3-3x-2y
Step-by-step explanation:
3+5x−4y+2y−8x
3+5x-8x-4y+2y
3-3x-2y
Most pets age at a different rate than their human companions. For example, a 3-year-old dog is often considered to be 21 in human years. Assume that the age of a dog varies directly as its equivalent age in human years. What is the human-year age of a dog that is 6-years-old?
Answers
Explanation: Since the problem tells us that a 3 year old dog is 21 years of age, we know the ratio is 1:7. When it asks us how old a 6 year old dog is in dog years we do 6(7) and get 42 years. Hope this helped!
The human-year age of a dog that is 6 years old is 42.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that most pets age at a different rate than their human companions. For example, a 3-year-old dog is often considered to be 21 in human years.
The human-year age of a dog that is 6 years old will be,
3 years old dog = 21 human gae
6 year old dog = 21 x 2 = 42 human age
To know more about an expression follow
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The cost of admission to the Baytown Zoo is $10.50 for each senior citizen, $15.75 for each adult, and $8.25 for each child. What if 2 more tickets for admission are purchased? If the two additional tickets cost $16.50, determine what type of tickets the family purchases. Explain how you can determine the answer without calculating.
Answers
Answer:
Child ticket
Step-by-step explanation:
Cost per senior citizen = $10.50
Cost per adult = $15.75
Cost per child = $8.25
Since the cost of the 2 additional ticket is $16.50
Then the only ticket of which two can be purchased with that amount is :
$16.50 / 2
= $8.25
Cost of children ticket.
PLZ HELP GIVING BRAINLIEST TO FIRST ANSWER AND 100 POINTS
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Answers
Answer:
ACTUALLY I HAD MADE A PPT IN PREZI THE ANSWER IS THERE PLS CHECK THERE : JUST SEARCH THIS QUESTION IN PREZI U WILL GET IT (I PROMISE)
HOPE IT HELPS
IF IT HELPS PLS MARKE AS BRAINLIEST ! :)
Step-by-step explanation:
Answer:
im answering so other guy gets brainliest
Step-by-step explanation: