Answer:
3(x+4)=5x-9
or,3x+12=5x-9
or,12+9=5x-3x
or,21=2x
orx=21/2
x=10.5
The value of x from the given rectangle is 10.5 units.
The opposite sides of a rectangle are 3(x+4) and 5x-9.
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Now, the opposite sides of a rectangle are congruent
So, 3(x+4) = 5x-9
⇒ 3x+12=5x-9
⇒ 5x-3x=12+9
⇒ 2x=21
⇒ x=10.5 units
Therefore, the value of x from the given rectangle is 10.5 units.
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Bruce made 6 pans of brownies. He cut each pan into 9 brownies. How many brownies did Bruce end up with?
Answer:
54
Step-by-step explanation:
9 x 6 = 54 Bruce will end up with 54 brownies if he cuts each of the 6 brownie pans of brownies into 9.
The midpoint of ABis M(-1, -4). If the coordinates of A are (-3, -7), what are the coordinates of B?
Given:
M(-1,-4) is the mid point of points a(-3, -7)
and B
To find:
Coordinates of B
Explanation:
Let (x, y) be the coordinates of B.
Since M is the midpoint of A and B,
M-A IB-EM
YM-YA-YB-YM
Substituting the values,
The x coordinate will be
-1-(-3)=-(-1)
-1+3=x+1
=2-1 x = 1
The y coordinate will beYM YAYB-YM
Substituting the values,
The x coordinate will be
- 1 - (- 3) = x - (- 1) - 1 + 3 = x + 1 x = 2 - 1 x = 1
The y coordinate will be
- 4 - (- 7) = y - (- 4) - 4 + 7 = y + 4 y = - 1
y = 7 - 8
Hence x=1, y = - 1
Final answer:
The coordinates of B are (1,-1)
Find the 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,...
The 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,... is -79.
The nth term of a particular arithmetic sequence can be found by, an = a + (n – 1)d. So in order to find the nth term, substitute the given values [tex]a_{1}[/tex] and d into the formula. So to find the 14th term, substitute n = 14 into the equation which is the nth term.
Given,
[tex]a_{1}[/tex]= x-1x-1
[tex]a_{2}[/tex]= 7x-77x−7
[tex]a_{3}[/tex]= 13x-13
n= 14
We have to find the common difference d from differences in adjacent terms [tex]a_{1}[/tex],[tex]a_{2}[/tex],[tex]a_{3}[/tex] . That is,
[tex]a_{2}-a_{1} =a_{3} -a_{2}[/tex]
[tex]7x-77x-7-(x-1x-1)=13x-13-(7x-77x-7)[/tex]
[tex]7x-77x-7-x+x+1=13x-13-7x+77x+7\\-70x-8x=-6+6\\-78x=0\\ x=0[/tex]
Put x=0 in x-1x-1, 7x-77x-7, 13x-13
Therefore,
[tex]a_{1}[/tex] = -1
[tex]a_{2}[/tex] = -7
[tex]a_{3}[/tex] = -13
Then, d will be [tex]-7-(-1)[/tex] or [tex]-13-(-7)[/tex]
So, d= -6
Put [tex]a_{1}[/tex], d, and n in the equation [tex]a_{n} =a+(n-1)d[/tex] to find the 14th term.
Therefore,
[tex]a_{14}=-1+(14-1)-6\\ =-1-78\\=-79[/tex]
The 14th term of the given arithmetic sequence is -79
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Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays an annual bonus of $2,500 plus $110 per day worked. Which equation can be solved to determine after how many days, d, Danae would make the same amount of money regardless of the job she chooses?
O 120d + 110d = 1,500 + 2,500
O 120 + 110 = 1,500d + 2,500d
• 120d + 1,500 = 110d + 2,500
• 120d + 2,500 = 110d + 1,500
Answer: 120d + 1500 = 110d + 2500
Solution: The first 1500 + 120d
The second 2500 + 110d
So. 120d + 1500 = 110d +2500
This year, Aaron has been recognized as the greatest artist. Amongst the 319 songs that he released, there were only 33 unpopular songs. However, his last year’s record had 394 songs and half of them were unpopular. How many popular songs did he release in these two years altogether?
Answer:
230
Step-by-step explanation:
This year: 319 total; 33 unpopular
Last year: 394 total; 197 unpopular
Total songs over both years 319 + 394 = 713
Total unpopular over both years 713 - 483 = 230
Assignment Active
Solve and write about ratios.
Students voted for a new class president and the results What does the ratio 344:109 represent?
are shown in the table.
O Jocelyn's votes to total votes
O Rosalia's votes to Danny's votes
O total votes to Jocelyn's votes
O total votes to Danny's votes
Assignment
Candidate
Rosalia
Jocelyn
Danny
Intro
Votes
124
109
111
Who votes to who’s votes
The answer to this question is:
Ratio 344:109 represents the ratio of the total votes to Jocelyn's votes.
A ratio in mathematics shows how frequently one number is contained in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of orange to lemon is eight to six (that is, 8:6, which is equal to the ratio of 4:3).
According to the question,
No. of votes Rosalia got = 124
No. of votes Jocelyn got = 109
No. of votes Danny got = 111
No. of votes received by all candidates =
= 124 + 109 + 111
= 344
So, the ratio 344:109 is the ratio of the total votes to Jocelyn's votes.
Therefore, Ratio 344:109 represents the ratio of the total votes to Jocelyn's votes.
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Find the distance between the points (1, 0) and (-3, 2)
Answer:
the distance is 4 unit squares
Find an equation in point-slope form for the line having the slope m= -3 and containing the point (6,3).
l...................................................
Calculate the surface area of the object provided.
A. 56 cm
B. 64cm³
C. 80cm²
D. 112cm²
Answer:
112cm^2
Step-by-step explanation:
A=2(wl+hl+hw)=2·(2·8+4·8+4·2)=112
Answer: B. 64 cm³
Step-by-step explanation:
Let's lenth of the object set is a, width - b and height - h
Thus,
V=abh
a=8 cm b=2 cm h=4 cm
Hence,
V=8*2*4
V=64 cm³
-letter words (repeated letters not allowed) can be formed from the alphabet if we require;(a) the 2nd letter to be a vowel (a, e, i, o, u)?(b) exactly one vowel?
(a) The 2nd letter to be a vowel (a, e, i, o, u) = 69000
(b) Exactly one vowel = 159600
What is a vowel ?An open sound is represented by a vowel, which is a letter. The English language has six vowels: a, e, I o, u, and occasionally y. Y can function as a consonant or a vowel depending on the context, as in the word story or yes. Vowels are a representation of open, frictionless vocal sounds.
4 letter word to be formed
Total Alphabets = 26
Repeated letters are not allowed
(a) 4 letter word, Consonant - C, vowel - V
Second letter to be a vowel
C or V = 25, V = 5, C or V = 24, C or V = 23
Number of word can form = 25 × 5 × 24 × 23 = 69000
(b) 4 letter word, in this exactly one vowel.
Number of words
V(5) × C(21) × C(20) × C(19)
C(21) × V(5) × C(20) × C(19)
C(21) × C(20) × V(5) × C(19)
C(21) × C(20) × C(19) × V(5)
Total number of words formed = 4 [5×21×20×19] = 159600
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Make sure the green line is on the mean value of x = 44. next, move the green line one standard deviation to the right. what z-score is associated with this value?
Z = 1.00, z-score is associated with this value.
Why is z-score important?
Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.What Is a Z-Score?
A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.one std dev to the right
so, Z = 1.00
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The complete question is?
Converting to z-Scores Conceptual Overview: Explore how an original or "raw" score can be expressed as a 7-score using the mean and standard deviation of the variable. The dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. The dynamic equation shows the mathematical conversion to z-scores in real-time. Drag the vertical line to see the corresponding 2-score for each possible class size. 2 42-44 = 8 -0.25 s x = 42 32 54 mean x = 44 z = -0.25 -1.50 0.25 1.24 mean z=0 Created by Gary H. McClelland, Professor Emeritus University of Colorado Boulder Cengage Learning. All Rights Reserved 1. Make sure the green line is on the mean value of x = 44. Next, move the green line one standard deviation to the right. What z-score is associated with this value?
A hockey team has 6 forwards, 4 defensemen, and 2 goalies. at any time, 3 forwards, 2 defensemen, and 1 goalie can be on the ice. how many combinations of players can a coach put on the ice?
A coach may use 240 different player combinations on the rink.
What are some permutation and combination examples?
The arrangement of people, numerals, numbers, alphabets, letters, and colors are a few examples of permutations.
Combinations include picking the meal, the cuisine, the attire, the subjects, and the team, for instance.
Forward 6C3 = 20
Defence 4C2 = 6
Golie 2C1 = 2
No. of possible Combination = 20 * 6 * 2 = 240
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The infant has apgar scores of 7 at 1 minute and 9 at 5 minutes. what is the indication of this assessment finding?
An infant may have had birthing complications that reduced the amount of oxygen in her blood if her Apgar score ranges from 7 at 1 minute to 9 at 5 minutes. In this situation, the hospital nurses will most likely vigorously dry her with a towel while holding oxygen under her nose.
What are Apgar scores?The Apgar score is a recognized and practical way to report on the newborn baby's condition right after birth and their reaction to resuscitation, if necessary. One's particular neonatal mortality or neurologic prognosis cannot be predicted by the Apgar score alone, nor can it be regarded as a result of suffocation. It should also not be utilized to do so. An infant's spontaneous breathing score and the Apgar score given after resuscitation are not the same thing. An enhanced Apgar score reporting form that takes into account concurrent resuscitative treatments is encouraged by both the American Academy of Pediatrics and the American College of Obstetricians and Gynecologists.
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help needed on this question! with show work
Answer: 5 cm
Step-by-step explanation:
We know that 3x + 2x makes up one side of the square. Recall that the formula for a square's perimeter is P = 4a. Thus:
(3x + 2x) * 4 = 100
5x * 4 = 100
20x = 100 (divide by 20)
x = 5 (cm)
Describe what hypothetical data might support the hypothesis. for example, the hypothesis would be supported if we found data that indicated ________.
The hypothesis of extinction by the violence between them does not seem true as this is the common nature of the species to fight and this would not be a reason for their extinction.
What is a hypothetical illustration?
Something that is founded on an assumption or idea is considered hypothetical.A hypothetical plan is one that is predicated on an unlikely event.How should a hypothetical example be written?
The words or abbreviations "for instance," "for example," "i.e." or "e.g." are frequently used after a hypothetical example, albeit the latter two, as you are probably aware, will only come after a comma and won't initiate a new sentence like "for instance" or "for example."
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(6/7x-2/3)+3/5+(5/8x-6/7) with full steps
Answer:
Step-by-step explanation:
See the file below. You can see the step-by-step answer and it will improve your score and it will understand how to solve this problem
Please help me with this question I'm so confused
Answer:
x is equal to 15.
Step-by-step explanation:
In this problem, it is said that ΔABC ~ ΔXYZ. This means that the shapes are the same, however they are not the same size. Here the problem is asking for the value of x when the triangle is scaled up.
Look on the triangles for where there are values on both ABC and XYZ. Notice that the hypotenuse for both triangles have a value.
The hypotenuse of triangle XYZ is 10, while the hypotenuse of triangle ABC is 25. Dividing both of those results by 10 results in a 1:2.5 ratio, meaning that the values of triangle ABC are 2.5 times larger than the values of triangle XYZ.
Knowing this, take the value of XZ on triangle XYZ, and multiply it by 2.5 to get the value of AC on triangle ABC, or x.
6 * 2.5 = 15
The value of x is 15.
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar that means that the sides are proportional. There are a couple of ways to find x. One way is to find the scale factor. We can use the two corresponding sides that we know. 25 and 10 are corresponding sides. They are both the hypotenuse of their triangles or you can say that they are both the side across from the 90 degree angle.
There is some number that I can multiple 10 by to get 25. This is my scale factor. This is how I can find it.
Let s = the scale factor.
10s = 25 Divide both sides of the equation by 10
s = 2.5 This means that each side of the larger triangle is 2.5 times longer than each side of the original triangle.
To find x. Find is corresponding side on the right and take that length and multiple it by 2.5
6 x 2.5 = 15
Another way is to set up a proportion.
[tex]\frac{10}{6}[/tex] = [tex]\frac{25}{x}[/tex] I could cross multiply and solve for x
10x = (6)(25)
10x = 150 Divide both sides by 10
x = 15
Sally knows the number of hours worked per week for five of the her employees is
30, 30, 38, 35 and 30. How many hours must the sixth person work per week if she
calms the average employee works 35 hours per week? Round your answer to the
nearest whole number. Be sure to show your work.
sixth person work per week=47 hours
Average:
The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set
Given :
the number of hours worked per week for five of her employees is
30, 30, 38, 35, and 30.
the average work of 6 employees is 35 hours per week
Solution :
Let, Total work per week= S
sixth person work per week=x
Total work per week= Number of people x average working hour
S= 35(6) = 210..(1)
S = 30+30+38+35+30+x
S= 163+x..(2)
By equation 1 and equation 2
210= 163+x
210-163=x
47=x
sixth person work per week=47 hours
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It takes 5.5 hours to fly from Richmond, VA to Los Angeles, CA. It takes 3 days, 3 hours, and 30 minutes to drive. How many hours does it take to drive from Richmond, VA to Los Angeles, CA? Show the work that leads to your answer.
Answer:
75.5 hours
Step-by-step explanation:
Given:
Fly: Richmond --> LA 5.5 hours
Drive: Richmond --> LA 3 days 3 hours 30 minutes
Find:
Drive: Richmond --> LA in hours
Conversions needed:
1 hour = 60 minutes
1 day = 24 hours
3 days + 3 hours + 30 minutes =
= 3 days × (24 hours/day) + 3 hours + 30 minutes × (1 hour / 60 minutes)
= 72 hours + 3 hours + 0.5 hours
= 75.5 hours
Look at the diagram and evaluate. Which of the statements below is TRUE?
A). EH < EF
B). F is the midpoint of EG
C). GH< EF
D). FH> EG
The correct statement regarding the segments on the number line is:
C). GH< EF
Why the third statement is correct?For the first statement, the lengths are EH = 19 - 6 = 13 and EF = 11 - 6 = 5, hence EF < EH.For the second statement, we have that EF = 5 and EG = 9, since 5 is not the half of 9, it is not the midpoint.For the third statement, GH = 19 - 15 = 4 < EF = 5, hence it is the correct statement.For the fourth statement, EG = 9 > FH = 8, hence it is also not correct.More can be learned about segments at https://brainly.com/question/18315903
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Solve the equation [tex]\sqrt{3x} + \sqrt{12} = \frac{x+7}{\sqrt{3} }[/tex]
Solve the equation 29 = v + 23 for v.
Answer:
6
Step-by-step explanation:
Solving steps
29v+23
Move the terms
- v =23 -29
Calculate
-V=-6
Change the signs
Solution
V = 6
Answer: 6
Step-by-step explanation: the guy above me has the best expanation
Identify the slope and y intercept of the line for
each equation.
7. y = -5x - 3/4
8. y=1/4x+5
Answer:
7. Slope = -5
Y-intercept = -3/4
8. Slope = 1/4
Y-intercept = 5
Step-by-step explanation:
y = mx + b
Slope = m
Y-intercept = b
Is √35 rational or irrational
Answer:
Irrational
Step-by-step explanation:
It can not be square rooted, the closest squared number to 35 is 36. The square root of 36 is 6 as 6x6= 3.
Therefore it is irrational.
Answer:
see below
Step-by-step explanation:
sqrt35 is irrational since by the definition of rational: able to be expressed as a whole number or a fraction.
sqrt35 is approximatly 5.91607978. which is not able to be a whole number or a fraction
thus sqrt35 is irrational
Find the range of allowable values based on the given information. round to the nearest tenth. 44; can vary by 4.2%
The range of allowable values based on 44 vary by 4.2% is 42.1 to 45.9.
As given in the question,
Value 44 vary by 4.2% is equal to
4.2% of 44
= ( 4.2 / 100) × 44
= 184.8 /100
= 1.848
≈ 1.9 (nearest tenth)
Range of allowable values based on 44 vary by 4.2% is given by
Lower limit = 44 - 1.9
= 42.1
Upper limit = 44+ 1.9
= 45.9
Therefore, the range of allowable values based on 44 vary by 4.2% is 42.1 to 45.9.
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• Liz fue a comprar un Kilo de Papas tres cuartos
de Kilo de tomate y medio Kils de aguacate Yob
Cuarto de kilo de cebolla ¿Cuantos Kilos Pesaba
toda la verdura que compro?
Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed
2,40
Dejar:
T = Tomate
n = cebolla
(2 kilograms of t) plus 1 kilogram of n = 8.40
(1 kilogram plus 2 kilograms) equals 7.80.
2t + n = 8,40 - -
t + 2n = 7,80 - -
De (2);
t = 7,80 - 2n
Toggata = 7.80 - 2n en
2 (7,80 - 2n) + n = 8,40
15,6 - 4n + n = 8,40
15,6 - 3n = 8,40
-3n = 8,40 - 15,6
-3n = - 7,2
n = 2,4
t = 7,80 - 2
t = 7,80 - 4,80
t = 3
As a result, the price of 1 kg of celery is $2.40.
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Express 21 as a product of prime
factors
Answer:
21=1×21 or 3×7
Step-by-step explanation:
21 is a composite number.factors of 21:1,3,7,21.
Prime factorization:21=3×7.
since 3 and 7 are the only prime numbers ...
Thanks!!
For what value of x is the equation 3/4 + x/4=1 true?
x = -1
x = 7
x = -7
x = 1
Which of the following cannot be used to explain why a hypothesis is true?
A Definition
B Postulate
(C) Theorem
D) Geometry
Answer: B
Step-by-step explanation: A Postulate is statement that is assumed true with no proof.
A hypothesis is an explanation provided for a phenomena. The correct option is B.
What is a Hypothesis?A hypothesis is an explanation provided for a phenomena. The scientific method demands that a hypothesis be testable in order for it to be considered a scientific hypothesis. Scientists often establish scientific hypotheses on past data that cannot be adequately explained by existing scientific ideas.
The one that cannot be used to explain why a hypothesis is true is a postulate. This is because a postulate is a statement that is considered to be true but has no supporting evidence.
Hence, the correct option is B.
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