Answers
Answer:
[tex]\huge\boxed{\sf x = 3}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x+1}{2} + \frac{x}{3} = 3\\\\LCM = 6\\\\So, Multiply \ both \ sides \ by \ 6\\\\ (\frac{x+1}{2} * 6) + (\frac{x}{3} * 6) = 3*6\\\\3(x+1) + (x*2) = 18\\\\ 3x + 3 + 2x = 18\\\\5x + 3 = 18\\\\Subtract \ 3 \ to \ both \ sides\\\\ 5x = 18-3\\\\5x = 15\\\\Divide \ both \ sides \ by \ 5\\\\\boxed{ x = 3}\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Related Questions
2. Which are not the measures of the sides of a right triangle?
A. O 1, 3,3
B.O 2,2,3,4
cks 1, 3,2
D.O
Answers
Answer:
B. because there are too many side lengths to be a triangle
f(x)=x² g(x) = (x + 3)2 +5 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f up/down by units and to by units. the right/left
Answers
Answer:
Me puedes informar mas?
a new optical illusion is posred on the internet. Write a recursive formula to describe the pattern. The, write the explicit formula that can be used to find the number of times the optical illusionis shared after eight hours.
Answers
Answer:
hope this helps
The solution is 3,27,680
The geometric progression is given by aₙ = a ( r )ⁿ⁻¹ , where r = 4 is the common ratio and after 8 hours a₈ = 3,27,680
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the first term of the geometric sequence be a₁ = 20
Let the second term a₂ = 80
So , the common ratio r = second term / first term
On simplifying the equation , we get
Common ratio r = 80/20
Common ratio r = 4
Now , the explicit formula for the GP is
aₙ = a ( r )ⁿ⁻¹ , where n is the number of hours
aₙ = 20 ( 4 )ⁿ⁻¹
So , after 8 hours ,
Substitute the value of n = 8 in the equation , we get
a₈ = 20 ( 4 )ⁿ⁻¹
a₈ = 20 ( 4 )⁷
a₈ = 3,27,680
Therefore , the value of a₈ = 3,27,680
Hence , the equation is aₙ = 20 ( 4 )ⁿ⁻¹
To learn more about geometric progression click :
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Lucy and Ayu sold a total of 1,080 iPads. Lucy sold 7 times as many as Ayu. How many did each sell
Answers
Answer:
let L=lucy and A=ayu
l+a=1080
l=7a 7a+a=1080
8a=1080 8a/8=1080/8
ayu=135
l=7a l=7×135
l=945 so:-135+945=1080
Lucy sold 945 iPads and Ayu sold 135 iPads
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
Let Lucy and Ayu sold 'x' and 'y' iPads respectively.
Lucy and Ayu sold a total of 1,080 iPads.
So, we get an equation,
⇒ x + y = 1080 ...............(i)
Lucy sold 7 times as many as Ayu.
So we get the second equation as,
⇒ x = 7y ................(ii)
Substitute above value of x in equation (i)
⇒ x + y = 1080
⇒ 7y + y = 1080
⇒ 8y = 1080
⇒ y = 135
This means, Ayu sold 135 iPads
Substitute above value of y in equation (ii)
⇒ x = 7(135)
⇒ x = 7 × 135
⇒ x = 945
This means, Lucy sold 945 iPads.
Therefore, Lucy sold 945 iPads and Ayu sold 135 iPads
Learn more about equation here:
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In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows:
$1,589, $593, $1,223, $869, $423, $1,720, $708, $1,425, $922 and $308.
a. What is the mean and median change in the cost? (Explain how you obtain your answer.)
b. What is the five-number summary of the change in the cost? (Explain how you obtain your answer.)
c. What is the standard deviation of the change in the cost? (Explain how you obtain your answer.)
d. The middle 50% of the change in the cost is spread over what value? (Explain how you obtain your answer.)
e. What is the coefficient of variation of the change in cost? (Explain how you obtain your answer.)
f. What are the (absolute values of) the Z scores of the change in cost?
Answers
Answer:
1. mean = 980 median = $895.5
2. 308, 593, 895.5, 1425, 1720
3. 491.7978
4. 895.5
5. 50.28%
Step-by-step explanation:
1. mean $1,589+$593+$1,223+$869+$423+$1,720+$708+$1,425+$922+$308/10
= 9780/10
= $978
median
We first arrange the values in ascending order
308,423,593,708,869,922,1223,1425,1589,1720
number of observation is even so we pick the 2 values in the middle and divide by 2
= 869+922/2
= $1791/2
$895.5
2. five number summary of change
the botom half of th dta set = 308,423,593,708,869
minimum value = 308
n = 5
median = 593 = q1
from 1, q2 = median = $895.5
the upper half of data
922,1223,1425,1589,1720
n = 5
median = $1425
maximum value = $1720
the five number summary of change in cost is therefore
308, 593, 895.5, 1425, 1720
3. standard deviation
[tex]s =[\sqrt{x-barx} ]^{2} \frac{1}{n-1}[/tex]
bar x is the mean = 978
($1,589-978)²+ ($593-978)²+ ($1,223-978)²+ ($869-978)+ ($423-978)²+ $1,720-978)²+($708-978)²+ ($1,425-978)²+ ($922-978)²+ ($308-978)²
= 2176786
=[tex]\sqrt\frac{1}{10-1} {2176786} \\\sqrt{ \frac{2176786}{9}[/tex]
= [tex]\sqrt{241865.1}[/tex]
= 491.7978
4. middle 50% is spread over the median, which is 895.5
5. coefficient of variation
= s/bar x * 100
= 491.7978/978 * 100
= 49179.78/978
= 50.28%
6. z score = x - mean/s
x = 1589
= 1589-978/491.7978
= 1.2424
for x = 593
593-978/491.7978
= -0.7828
= 0.7828
for x = 1223
1223-978/491.7978
= 0.4982
for x = 869
869-978/491.7978
= -0.2216
= 0.2216
for x = 423
423-978/491.7978
= -1.1285
= 1.1285
x = 1720
1720-978/491.7978
z = 1.5088
for x = 708
708-978/491.7978
= -0.5490
= 0.5490
for x = 1425
1425-978/491.7978
= 0.9089
for x = 922
922-978/491.7978
= -0.1139
= 0.1139
for x = 308
308-978/491.7978
= -1.3624
= 1.3624
The product of five and a number plus 10 is at least thirty.
Answers
pls hurry if you can. A What is the volume of this cube?
Question 5 options:
26.46 cm3
9.261 cm3
6.3 cm3
Answers
Answer:
9.261 cm³
Step-by-step explanation:
2.1x2.1x2.1=9.261
Answer:
9.2
Step-by-step explanation:
the answer is 9.2 yo multiplu 2.1x2.1x2.1
On Saturday, Ahmed walks his dog 0.5 mile. On the same day, Latisha walks her dog 0.7 times as far as
Ahmed walks his dog.
How far does Latisha walk her dog on Saturday?
Latisha walks her dog mile(s) on Saturday. I have it due by tomorrow at 7 am please help, don’t put the links!!
Answers
WILL GIVE BRAINLIEST
Answers
Answer:
b good luck srro if u am rong
Answer:
the best way to write is as it is in the beginning, so 1.2×10^-6, that is the alternative A.
Calculate the volume of the given pyramid to the nearest tenth
Answers
Answer:(A.)
Step-by-step explanation:The reason why its a its because that 13x8=104x17=1,768/3=589.3. Therefore 589.3 can not be round to the nearest tenth.
what is a single term algebraic expression is called?
Answers
Expression with one term is called a 'Monomial'
Expression with two unlike terms is called a 'Binomial'.
Expression with three unlike terms is called a 'Trinomial'.
Find the average rate of change of the function between the given values of x.
y = -5x - x2 between 2 and x = 6.
Answers
Answer:
The average rate of change is of -13.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function in an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
Between 2 and 6. So
[tex]f(6) = -5(6) - 6^2 = -30 - 36 = -66[/tex]
[tex]f(2) = -5(2) - 2^2 = -10 - 4 = -14[/tex]
[tex]A = \frac{-66 - (-14)}{6 - 2} = \frac{-66 + 14}{4} = \frac{-52}{4} = -13[/tex]
The average rate of change is of -13.
Which quadrant does the point (-3, 6) lie in?
Quadrant IV
Quadrant I
Quadrant II
Answers
It should be in Quadrant II! <3
Answer:
Quadrant II
Step-by-step explanation:
Combine the like terms to create an equivalent expression,
Зу +6 – у
HELPPPPPP NOWWWW
100 points
Answers
Answer: 2y+6
Step-by-step explanation:
Answer:
x and y
Step-by-step explanation:
Jerel runs 5 days each week. On each of 4 days, he runs 2.3 km. If Jerel runs a total of 14 km, how many kilometers does he run on the fifth day? a3.8km b4.8km c5.8km d4.7km
Answers
because 2.3*4= 9.2 then take the 14 he ran minus 9.2 and that’s your answer
Answer:19
Step-by-step explanation:
plzzz help will mark you brainliest
Answers
Answer:
C, y =8x
Step-by-step explanation:
As you can see from the table, y is basically x multiplied by 8 at all instances.
Answer: y=8x
Step-by-step explanation:
y=8x means that the number in the y column (the total cost) equals whatever is in the x column (number of tickets) times by 8. The reason you do times is because in algebra when a number is next to a letter it means times.
So, you can test it using the data in the table:
16=2×8
24=3×8
32=4×8 etc.
And we know it works.
Hope this helps :)
1
_ x 5 Please explain
4
Answers
Answer:
Step-by-step explanation:
25
Ryan's Study Schedule
Subject Subject (Hours)
2
Math
2
3
1
Science
1-
2
1
English
3
1
Social Studies
1
4
What is the closest amount to the hours Ryan spends studying?
7 hours
8 hours
0 5 hours
O 9 hours
Answers
00:00
The city council in Middlefield wants to know if residents are in favor of a traffic camera at the main intersection in town. Drag tiles to match each
term to the example it best describes. Each tile may be used only once.
Representative Sample
Population
NOT a Representative Sample
Term
Example
Drivers who reside in Middlefield
Residents of Middlefield
Residents randomly chosen from the town register
Answers
Answer:
Matching Tiles with Terms:
Term Example
NOT a Representative Sample Drivers who reside in Middlefield
Population Residents of Middlefield
Representative Sample Residents randomly chosen from the
town register
Step-by-step explanation:
Population includes all the residents of Middlefield.
Representative Sample is a population subset that accurately reflects the characteristics of the population. For example, the subset of residents who are randomly chosen from the town register is an unbiased and representative sample.
NOT a Representative Sample: For example, drivers who reside in Middlefield do not represent the characteristics of the population of Middlefield.
66 + 2bc – 46; b= 10, c=5
Answers
Answer:
120
Step-by-step explanation:
66 + (2* 10*5)- 46
66+20×5−46
66+100−46
166−46
= 120
Brainlist Pls!
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
66 + 2bc - 46= 66 + (2 × 10 × 5) - 46
= 66 + 100 - 46
= 166 - 46
= 120
Hope it helps you,
Mark me brainliest plz....
Follow me! :)
in a book reading contest students read as many books as they can in one week. the number of books read by each student are given, use the data to make a histogram
2, 10, 5, 4, 1, 3, 2, 6, 4, 8, 1, 3, 5
Answers
Answer:
C
Step-by-step explanation:
Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!
Answer:
C is the approximant answer
What cube is a unit cube
Answers
It costs $6 per hour for a park to water the grass. How much will it cost to water the grass for
7/3
hours?
Answers
Answer:
I think the answer is $14 hope this helps!
Step-by-step explanation:
8th grade math, please help.
Answers
9514 1404 393
Answer:
282.74 units³
Step-by-step explanation:
Put the given dimensions in the volume formula and do the arithmetic.
V = πr²h
V = 3.14159(3²)(10) ≈ 282.74 . . . units³
Quadrilateral GHIJ is dilated by a scale factor of 22 to form quadrilateral G'H'I'J'. What is the measure of side H'I'?
Answers
Answer:
[tex]H'I = 48[/tex]
Step-by-step explanation:
Given
See attachment for complete question.
From the attachment, we have:
[tex]GH=16.5[/tex]
[tex]HI =24[/tex]
[tex]IJ = 17[/tex]
[tex]JG =32.2[/tex]
[tex]k = 2[/tex] --- Scale factor
Required
Find H'I
The corresponding side of H'I is HI.
So:
H'I is calculated as:
[tex]H'I = k * HI[/tex]
This gives:
[tex]H'I = 2 * 24[/tex]
[tex]H'I = 48[/tex]
Answer I to j is 42
Step-by-step explanation:
The diameter of a circle is 3 meters. What is the circumference?
Answers
Answer:
C≈9.42m
Using any of this formulas
C=2πr
C=2πrd=2r
Solution:
C=πd=π·3≈9.42478m
Mrs.Martin placed her class into five groups. If each group has 6 people. how many students are in the class
Answers
Answer:
30
Step-by-step explanation:
5x6=30
5•6=30
30/5=6
If a man can stack 30 bricks in 6 hours at that rate how many bricks can he stack in 33hours
Answers
x bricks = 33 hours
(33) (30) = (6) (x)
990 = 6x
x = 165 bricks
Answer:
165 bricks
Step-by-step explanation:
Bricks Hours
30 6
5.5 5.5
-----------------------------------
165 33
so what i did to get it was to first divide 33 by 6 and got 5.5 so i multiply it to by the other number and got 165 bricks in 33 hour hope this helps
Explain the steps for moving three disks from one peg to another. Start with moving the small disk to the right peg. (written response)
Answers
Answer: move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.
Step-by-step explanation:
Answer:
Move the medium disk to the left peg.
Move the small disk to the left peg.
Move the large disk to the right peg.
Move the small disk to the middle peg.
Move the middle disk to the right peg.
Move the small disk to the right peg.
Step-by-step explanation:
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answers
Answer:
768-452.16=315.84
Step-by-step explanation: