Answers
Answer:
x = 34
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal if the lines parallel
2x+3 = 71
Subtract 3 from each side
2x+3-3 = 71-3
2x = 68
Divide by 2
2x/2 = 68/2
x = 34
Related Questions
Let U be the set of all books, N the set of all novels, and H be the set of all hardcover books. Describe, in words, the following sets:
Answers
Given:
U be the set of all books, N the set of all novels, and H be the set of all hardcover books.
To find:
The description for the sets [tex]N\cap H[/tex] and [tex]H'[/tex] in words.
Solution:
We have,
U = The set of all books
N = The set of all novels
H = The set of all hardcover books.
We know that [tex]N\cap H[/tex] means common elements of set N and set H.
Therefore, [tex]N\cap H[/tex] is set of all books that are both novels and hardcover books.
We know that [tex]H'[/tex] is the set of elements of universal set except the elements of set H.
Therefore, [tex]H'[/tex] is the set of all books that are not hardcover books.
Steve Ballmer, the current CEO of Microsoft, used to be the manager of his college football team. Among his duties, he had to be sure the players were hydrated. When nearby construction forced a water shut off, Steve went to the Star Market to purchase bottles of water. He needed a total of 80 liters of water. Star Market sold water in two liter bottles and in half liter bottles. What possible combinations of the small and large bottles might he purchase in order to bring 80 liters to the football team?
a. Write an equation that models the possible combinations of half liter bottles and two liter bottles that would total 80 liters. (Be sure to define the variables.)
b. What is the x-intercept and what does it represent?
c. What is the y-intercept and what does it represent?
Answers
9514 1404 393
Answer:
a. x + 4y = 160
b. 160
c. 40
Step-by-step explanation:
a. We can define the variables as ...
x = number of 1/2-liter bottles
y = number of 2-liter bottles
For the total number of liters to be 80, we require
1/2x + 2y = 80
We can multiply this by 2 to eliminate the fraction.
x + 4y = 160
__
b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.
__
c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.
If you worked for the local CVS for $9.00 an hour and this week you worked 40 hours at regular time, and 5 hours of overtime at a rate of 1.5 how much money would you earn?
Answers
Answer:
1800
Step-by-step explanation:
First, you multiply 9 times 40 which is 360. So then since he worked for 5 more hours you multiply 360*5 which will give you 1800. :D
I need help badly please with number 2 ...help me .. please no links or I will report you
Answers
9514 1404 393
Answer:
$62.74
Step-by-step explanation:
The annuity formula can be used to find the payment needed. Fill in the known values and solve for the unknown.
The future balance due to a series of payments is given by ...
A = P(n/r)((1 +r/n)^(nt) -1)
where A is the account balance P is the payment made each period, n is the number of periods per year, r is the annual interest rate, and t is the number of years.
You have A = $20,000, r = 0.041, n = 12, t = 18 and you want to find P
P = A(r/n)/((1 +r/n)^(nt) -1)
P = $20,000(0.041/12)/((1 +0.041/12)^(12·18) -1) ≈ $62.74
A monthly payment of $62.74 is required.
Which value is equal to 1/2 ?Select all that apply.
Please help fast fast !! Will give brainliest
Answers
Answer:
The Answer to your problem is A i'm pretty sure mark me brainliest plss and a thanks heart !!
The cost of a piece of furniture is calculated as follows:
Wood: Rs.300, Paint: Rs.200 and wages Rs.200
If the cost of the wood and paint are increased by 12% and 7% respectively, find the new cost of the furniture.
Answers
Answer:
Examining whole-body center of mass (COM) motion is one of method being used to quantify dynamic balance and energy during gait. One common method for estimating the COM position is to apply an anthropometric model to a marker set and calculate the weighted sum from known segmental COM positions. Several anthropometric models are available to perform such a calculation. However, to date there has been no study of how the anthropometric model affects whole-body COM calculations during gait. This information is pertinent to researchers because the choice of anthropometric model may influence gait research findings and currently the trend is to consistently use a single model. In this study we analyzed a single stride of gait data from 103 young adult participants. We compared the whole-body COM motion calculated from 4 different anthropometric models (Plagenhoef et al., 1983; Winter, 1990; de Leva, 1996; Pavol et al., 2002). We found that anterior-posterior motion calculations are relatively unaffected by the anthropometric model. However, medial-lateral and vertical motions are significantly affected by the use of different anthropometric models. Our findings suggest that the researcher carefully choose an anthropometric model to fit their study populations when interested in medial-lateral or vertical motions of the COM. Our data can provide researchers a priori information on the model determination depending on the particular variable and how conservative they may want to be with COM comparisons between groups. Copyright © 2017 Elsevier Ltd. All rights reserved.
Step-by-step explanation:
In the diagram below of RST. L is a point on RS, and M is a point on RT, such that LM parallel to ST
If RL = 3 LS= 12 LM=7. and ST=x+ 2, what is the length of ST?
Answers
Answer:
ST is 28
Step-by-step explanation:
Using the similarity formla
RL/LS = LM/ST
3/12 = 7/x+2
3(x+2)=84
x +2= 84/3
x+2 = 28
x= 28-2
x = 26
ST = x+2
ST = 26+2
ST = 28
Hence the length of ST is 28
If x = 0 and y > 0, where is the point (x, y) located?
Answers
Answer:
upper half y axis
Step-by-step explanation:
If x = 0 we are on the y axis. If y >0 we are on the upper half of the y axis
What is the y-intercept of 3x – 4y = 24? Write your answer as a single number.
Answers
Answer:
-6
Step-by-step explanation:
y-intercept of 3x – 4y = 24
=> x=0
3(0) -4y=24
-4y=24
y = 24/(-4) = -6
the point is (0, -6)
solve the system of equations y=x-7 y=x^2-9x+18
Answers
9514 1404 393
Answer:
(x, y) = (5, -2)
Step-by-step explanation:
Equating expressions for y, we have ...
x^2 -9x +18 = x -7
x^2 -10x +25 = 0 . . . . . add 7-x to both sides
(x -5)^2 = 0 . . . . . . . . factor
The value of x that makes the factor(s) zero is x=5. The corresponding value of y is ...
y = x -7 = 5 -7 = -2
The solution is (x, y) = (5, -2).
Which domain would make the list of ordered pairs a function? {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)}
Answers
Hope this help!!!
Have a nice day!!!
The required domain would make the list of the ordered pairs are-4 and 5.
Given that,
Which domain would make the list of ordered pairs a function, {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)} is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
The domain of the function follows the pattern of increasing the number by unit with the alternate sign change,
So the domain of function after 3 is given as -4 and 5.
Thus, the required domain would make the list of the ordered pairs are -4 and 5.
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What is the surface area of the rectangular prism shown below?
A: 159
B: 294
C: 318
D: 378
(All squared)
Answers
Hope this helps
6 (b - 83) =10
Answer by steps?
Answers
Answer:
b = 84 2/3.
Step-by-step explanation:
6 (b - 83) =10
6b - 6*83 = 10
6b - 498 = 10
6b = 508
b = 508/6
b = 84 2/3
[tex]\longrightarrow{\green{84.666}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]6 \: (b - 83) = 10 \\ ➡ \: 6 \: b - 498 = 10 \\ ➡ \: 6 \: b = 1 0 + 498 \\ ➡ \: 6 \: b = 508 \\ ➡ \: b = \frac{508}{6} \\ ➡ \: b = 84.666 [/tex]
[tex]\boxed{To\:verify:}[/tex]
[tex]6 \:( b -83) = 10 \\ ➝ \: 6 \: (84.666 - 83) = 1 \\ ➝ \: 6 \times 1.666 = 10 \\ ➝ \: 9.996 = 10 \\ ➝ \:10 \: (round ing \: \: to \: \: closest \: \: whole \: \: number) = 10 \\ ➝ \: L. H.S.=R. H. S[/tex]
Hence verified.
[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Need help with it math
Answers
Answer:
oh itsA
Step-by-step explanation:
i did 1 plus 24
1. supplementary
2. complementary
3. 45
4. 8
5. 67
6. 135
7. 98
8. 157
9. x= 10
10. x= 6
11. x= 30
12. x=14
what's the formula of finding an area of a room?
Answers
Answer:
For a square or rectangular room you will need the length and width
Then you multiply I.e length x width gives Area
bye :-)
if two lines are parallel and one has a slope of 1/6, what is the slope of the other line?
Answers
Parallel lines will have the same slope as one another
You have one each of $0.05, $0.10, $0.25, $1.00 and $2.00 coins in your wallet. How many different sums of money could you form by reaching into your wallet and pulling out some coins?
Answers
Answer:
The correct answer is - 26 sums for pulling few coins.
Step-by-step explanation:
Given:
coins in the wallet = 5 ($0.05, $0.10, $0.25, $1.00 and $2.00)
Different sums of money = ?
Formula: Different combination of items can be calculated with the help of a formula of combination that is -
nCr = n! / ((n – r)! r!)
where, n = total number of items
r = number of item in a set
solution:
In this question number of set is not given only few mention so the sets could be 2 coins, 3 coins, 4 coins and 5 coins.
a. for set of 2 coins
= 5! / ((5 – 2)! 2!)
= 20/2
= 10 combination of sums
b. for the set of 3 coins
= 5! / ((5 – 3)! 3!)
= 10
C. for 4
= 5! / ((5 – 4)! !)
= 5
d. for 5 coins
only 1 sum
thus, the total types of different sums = 10+10+5+1
= 26.
The scores and their final grade for a statistics student are given. What is the student’s weighted mean score?
Homework
Quiz
Quiz
Project
Final Exam
Score
86
81
96
99
89
Percent of final grade
20
15
15
25
25
Answers
Answer:
a) final exam: 90.2 B b) percent of final grade: 20 F
Step-by-step explanation:
calculator: a)86+81+96+99+89=451/5=90.2
b) 20+15+15+25+25=100/5=20
The weighted mean of a distribution is the sum of the product of the data elements of the distribution by the proportion of each element.
The weighted mean score of the students is 90.75
To calculate the weighted mean score, we simply multiply the score of each student by the percentage grade.
So, we have:
[tex]Mean = 86 \times 20\% + 81 \times 15\% + 96 \times 15\% + 99 \times 25\% + 89 \times 25\%[/tex]
This gives:
[tex]Mean = 17.20 + 12.15 + 14.40 + 24.75 + 22.25[/tex]
[tex]Mean = 90.75[/tex]
Hence, the weighted mean score of the students is 90.75
Read more about weighted mean at:
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If 90 people were at a game and one-sixth bought programs for $1.50 each,
how much did they spend on programs all together?
Answers
Answer:
I'm pretty sure they spent $22.50
Step-by-step explanation:
do (1÷6)×(90) then multiply 15 and 1.50
Evaluate:
2n=1(3n + 2) = [?]
Answers
Answer:
n = -2
Step-by-step explanation:
2n = 3n + 2
-n = 2
n = -2
PLEASE HELP. Last 3 times I asked people put spam, please do not this is urgent.
WILL MARK BRAINLIEST
Answers
Answer:
A) 2^12
Step-by-step explanation:
3x - y = 12
3(5) - 3 = 12
15 - 3 = 12
12 = 12
[tex]\frac{8^x}{2^y}[/tex]
[tex]\frac{8^5}{2^3}[/tex]
[tex]\frac{32768}{8}[/tex]
4096
2^12
List 2 different ways to name angle 2 shown below.
Answers
angle CAD or angle DAC.
What is the solution of the equation, n + 12 = 12?
n = ______
Answers
n+12=12
So you would subtract 12 from the n side and subtract the 12 from the 12 on the other side which will equal 0
The coordinates of the endpoints of BC are B(5,1) and (-3,-2). Under the
transformation R90, the image of BC is B'C". State the coordinates of points B
and C.
Answers
Given:
The coordinates of the endpoints of segment BC are B(5,1) and (-3,-2).
Under the transformation [tex]R_{90^\circ}[/tex] the image of [tex]\overline{BC}[/tex] is [tex]\overline{B'C'}[/tex].
To find:
The coordinates of points B' and C'.
Solution:
We know that transformation [tex]R_{90^\circ}[/tex] means 90 degrees counterclockwise rotation about the origin.
If a figure is rotated 90 degrees counterclockwise rotation about the origin, then
[tex](x,y)\to (-y,x)[/tex]
Using this rule, we get
[tex]B(5,1)\to B'(-1,5)[/tex]
Similarly,
[tex]C(-3,-2)\to C'(-(-2),-3)[/tex]
[tex]C(-3,-2)\to C'(2,-3)[/tex]
Therefore, the coordinates of required points are B'(-1,5) and C'(2,-3).
You start driving for 3 miles, turn right, and drive north for another 13 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answers
Answer:
13.34
Step-by-step explanation
Pythagorean Theorem: c= sqrt(a^2+b^2) or a^2=+b^2=sqrt(c)
3^2+13^2= sqrt(178) = 13.34166= 13.34
10
1
board/home
Solving Linear Equations. Tutorial Level
Four times the sum “n plus 10" is 34. What is the
value of n?
Multiply (n + 10) by 4.
4(x + 10) = 34
ESSICA
2
n+
2
= 34
DONE
00
P750
Answers
Answer:
-1.5 or -1 1/2
Step-by-step explanation:
I can only guess what is actually asked for. a lot of things went wrong when copying this problem description in here.
the basic question I understand is to solve the equation of
4(n + 10) = 34
=>
n + 10 = 34/4 = 8.5 or 8 1/2
n = 8.5 - 10 = -1.5 or -1 1/2
The circumference of a circle is 47 in. Find its diameter, in inches.
Answers
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Circumference of the circle = 47 inch.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The diameter of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:diameter\:of\:the\:circle\:is\:15\:inch.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]
[tex]\longrightarrow{\blue{}}[/tex] 47 in = 2 π [tex]r[/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{47 \times 7}{2 \times 22}[/tex] in
[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{329}{44}[/tex] in
[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = 7.477 in
Now,
[tex]\sf\pink{Diameter\: of \:the \:circle\: =\: 2 \:r }[/tex]
= 2 x 7.477 in
= 14.954 in
= 15 in ( round to nearest whole number )
Therefore, the diameter of the circle is 15 inch.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
The diameter of the circle is approximately 14.97 inches.
We have,
To find the diameter of a circle given its circumference, we can use the formula:
Circumference = π * Diameter
Given the circumference of the circle is 47 inches, we can rearrange the formula to solve for the diameter:
Diameter = Circumference / π
Substituting the given circumference into the formula:
Diameter = 47 / π
Calculating the value:
Diameter ≈ 14.97 inches
Therefore,
The diameter of the circle is approximately 14.97 inches.
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Explain how u got the answer!
Answers
Answer: 525
Step-by-step explanation:
1000 dogs in 2013 and 4500 dogs in 2016
15 percent in animal shelters
(4500-1000)x0.15 = 525
i need help with this?
i’m so confused
Answers
Answer:
See below
Step-by-step explanation:
In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.
In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.
In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.
What is the scale factor from ∆ABC to ∆DEF?
Answers
Answer:
D
Step-by-step explanation:
6*8 = 48
4*8 = 32
