Answer:
x=-4
x=14
Step-by-step explanation:
Absolute Value Equation entered :
3|5-x|+2=29
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|-x+5|+2 = 29
Another term is moved / added to the right hand side.
3|-x+5| = 27
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|-x+5|
For the Negative case we'll use -3(-x+5)
For the Positive case we'll use 3(-x+5)
STEP
3
:
Solve the Negative Case
-3(-x+5) = 27
Multiply
3x-15 = 27
Rearrange and Add up
3x = 42
Divide both sides by 3
x = 14
STEP
4
:
Solve the Positive Case
3(-x+5) = 27
Multiply
-3x+15 = 27
Rearrange and Add up
-3x = 12
Divide both sides by 3
-x = 4
Multiply both sides by (-1)
x = -4
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
x=14
x=-4
Solutions on the Number Line
Two solutions were found :
x=-4
x=14
Urvi solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. StartFraction 14 divided by StartFraction 2 Over 7 EndFraction. StartFraction 1 Over 14 EndFraction times StartFraction 2 Over 7 EndFraction = StartFraction 2 Over 98 EndFraction or StartFraction 1 Over 49 EndFraction Which is the most accurate description of Urvi's work? Urvi solved the problem correctly. Urvi multiplied the dividend by the divisor instead of finding the reciprocal. Urvi multiplied the denominators instead of finding a common denominator. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Given:
The equation is
[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]
To find:
The correct description of Urvi's work.
Solution:
We have,
[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]
Using the rule "multiply by the reciprocal", we get
[tex]\dfrac{14}{\dfrac{2}{7}}=14\times \dfrac{7}{2}[/tex]
[tex]\dfrac{14}{\dfrac{2}{7}}=\dfrac{98}{2}[/tex]
[tex]\dfrac{14}{\dfrac{2}{7}}=49[/tex]
Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
The last part is function but need help asap
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy's descent as a unit rate? Express your answer as an integer. Enter your answer in the box. feet per minute Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet
Answer:
A. 4 feet per minute
B. 24 feet
Step-by-step explanation:
Given that: distance = 10 feet
time = 2 1/2 minutes = 2.5 minutes
A. The descent rate is the speed with which an object descends with respect to a reference point or plane.
Speed is the rate of the distance moved to time taken.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{10}{2.5}[/tex]
= 4 feet/minute
Andy's descent is 4 feet/minute.
B. If he continues at this rate, his distance in relation to sea level after 6 minutes would be;
speed = [tex]\frac{distance}{time}[/tex]
4 = [tex]\frac{distance}{6}[/tex]
distance = 4 x 6
= 24 feet
Thus, Andy would be at 24 feet in relation to sea level after 6 minutes.
is 77.65488319 rational or irrational
Answer:
rationale
Step-by-step explanation:
step by step instructions
Answer:
Irrational
Step-by-step explanation:
The decimal doesn't terminate.
Bananas cost $1.15 per pound. Jose bought 2.4 pounds of bananas. How much did it cost?
Answer:
$ 2.76
Step-by-step explanation:
Hi there !
1 pd ........... $1.15
2.4pd .........$ x
x = 2.4×1.15/1
= $ 2.76
Good luck !
Answer:
Bananas cost $1.15 per pound
Cost of 2.4 pounds of bananas
= $(2.4×1.15)=$2.76
$2.76 is the right answer.
If m(x) = 4(x - 2), find m(-5)
Answer:
szdg
Step-by-step explanation:
hesre
Answer:
-5×x=4(x-2)
-5x=4x-8
-5x-4x=-8
-9x=-8
Divide both sides by -9x
x=8/9
Step-by-step explanation:
If a=2, b=-3 and c=4, evaluate: b(a-c)^2
Determine the value of x. images attached.
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
We use cosine to find the value of x
That's
[tex] \cos(45) = \frac{1}{x} \\ x \cos(45) = 1 \\ x = \frac{1}{ \cos(45) } \\ \\ \\ \boxed{ x = \sqrt{2} }[/tex]
Hope this helps you
Hope this helps you
What is the slope of the graph of y = 12x – 19?
Answer:
12
Step-by-step explanation:
Which of the x values are solutions to the inequality 4≥2-4x
Answer:
x = -1/2
Step-by-step explanation:
Given:
Inequality 4 ≥ 2 - 4x
Find:
Value of x
Computation:
4 ≥ 2 - 4x
4x ≥ -2
x ≥ -1/2
x = -1/2
7. Given (3, 5) and (-2, 1), find the slope of the line passing through these two points.
Answer:
4/5
Step-by-step explanation:
y2-y1/x2-x1 so....... 5-1/3-(-2)
You plug it into the equation for calculating slope:
(Y₂ - Y₁) ÷ (X₂ - X₁)
Let X₂ be 3 and Y₂ be 5.
X₁ = -2 and Y₁ = 1.
(5 - 1) ÷ (3 - (-2))
4 ÷ 5
4/5
The slope is 4/5.
Hope this helps
Solve for g. C = d/g
Answer:
I believe that g=dc
Step-by-step explanation:
You swap positions with g and c along with their sign of operation.
3 90 Which is the best estimate of 7 A 2 B 6 C 12 D 24
Answer:
C 12 is the best estimate
Step-by-step explanation:
34 students in Mr. Jones math class passed the final exam. There are 40 students in his class total. What percent of students passed.
help please
Ok one quiestion Where do you think I live! 44 points if correct
Answer:
In America on the west coast
Step-by-step explanation:
the multiplicative inverse of 7-2 is
Answer:
8
Step-by-step explanation:
It
Answer:
The answer 1/5
Step-by-step explanation:
mark Brainliest
At New years you decide to join a gym to lose all those calories gained during winter break and youre comparing two different gyms. The first gym, gym A has a 12$ initiation fee and then costs 10$ per month. The second gym , gym B has a 20$ initiation fee and then costs 6$ per month. Create an equation that aims to find when these two gyms will cost the same amount of money
Given:
For gym A, initiation fee = $12 and cost = $10 per month.
For gym B, initiation fee = $20 and cost = $6 per month.
To find:
The equation that aims to find when these two gyms will cost the same amount of money,
Solution:
Let the number of months be x.
Cost function = Initiation fee + (cost)(x)
Cost function for gym A is
[tex]f(x)=12+10x[/tex]
Cost function for gym B is
[tex]g(x)=20+6x[/tex]
Cost of these two gyms are equal if f(x)=g(x).
[tex]12+10x=20+6x[/tex]
Therefore, the required equation is [tex]12+10x=20+6x[/tex].
On solving this equation, we get
[tex]10x-6x=20-12[/tex]
[tex]4x=8[/tex]
[tex]x=2[/tex]
Hence, after 2 months the cost of these two gyms are same.
MiniMouse received an order of bows for her store. The order had 3 boxes containing bows and 2 bows that were not in a box. Each box contained an equal number of bows. The order had 146 bows. What is n, the number of bows which should be in each box? Write and solve the equation.
Answer:
Step-by-step explanation:
If Mini has a total of 146 bows, then you should subtract 2 because those are not in the boxes.
146 - 2 = 144 144 ÷ 3 = 48. This means that there are 48 bows in each box.
Anna walks her dog at a constant rate of 12 blocks in 8 minutes. Complete the table to show the total time it takes to walk 12, 24, 36, and 48 blocks.
12=8 minutes
24=16 minutes
36=24 minutes
48=32 minutes
Answer:
8 min in 12, 16 in 24, 24 in 36, and 32 in 48
Step-by-step explanation:
First of all, we know that 12 blocks is done 8 minutes. and we see the 12, 24, 36, and 48 are all multiples of 12, so that pattern is adding 12. That means we shall continue the pattern with multiples of 8. So, for every 24 blocks, it will take 16 minutes, and in 36 blocks, it will take 24 minutes, and so on. I hope this helps and I hope it's right, and if it isn't I apologize.
It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 290 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.
Step-by-step explanation:
The random variable (x) here would be a randomly selected student from the college that is left-handed.The population parameter would be 11% of America's total population. The total population as of 2019 is believed to be 328.2 million, and 11% of that figure is about 36.1 million (thirty-six million one hundred thousand).Hypotheses: Remember, the null hypothesis usually reflects the held view of the researcher, and since we are told the college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population. It could read; There is a statistically significant difference in the percentage of left-handers in the college than the American population. While the alternate hypothesis could read; There is no statistically significant difference in the percentage of left-handers in the college than the American population.The Type I error implies rejecting the null hypothesis when it is actually true. That is: Rejecting that the % of all students from that college that are left-handed is 11 % when the % is really 11 %.The Type II error implies accepting the null hypothesis when it is actually false. That is: Failing to reject that the % of all students from that college that are left-handed is 11 % when the % is actually different.i bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle to make my daughters halloween costume. how much yarn did i buy?
Answer:
3 5/24 yards of yarn.
The required yard of yarn purchased is given as 3 5/24 yards.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Bought 1/3 yard of white chiffon 2 1/4 yards of white linen and 5/8 yard tulle.
Total yarn = 1 / 3 + 2 1/4 + 5/8
= 1/3 + 2 + 1/4 + 5/8
= 2 + 1/3 + 1/4 + 5/8
= 2 + [8 + 6 + 15] /24
= 2 + 29/24
= 2 + 1 + 5/24
= 3 5/24 yards of yarn
Thus, the required yard of yarn purchased is given as 3 5/24 yards.
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3) 1 + 4 x 2 + 3
A) 10
C) 13
B) 14
D) 12
Answer:
following the order of operations would be 10
Step-by-step explanation:
1 + (4 × 2) + 3
4×2=6
1+6=7
7+3=10
Answer:
1+4*2+3 is 13. The answer is C
I need help fast solve; question: using the distributive property: 4(x+9)
Answer:
x = 9
Step-by-step explanation:
4 x X + 4 x 9 =
4x + 36
36/4 = 9
What random question should I do for 100 technically 50 points?
Answer:
you should ask us what color your pillow is
Step-by-step explanation:
pleaseeeeeeeeeeeeeeeee solve this
Answer:
360 degrees
Step-by-step explanation:
We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as the exterior angles of the given triangles, their sum will be 360 degrees as well.
Vinnie is 1/2 as old as Julie Julie is 24 how old is vinnie
Answer:
Vinnie is 12.
Step-by-step explanation:
24 divided by 2 is 12
A fraction is the representation of a decimal number so the fraction of 1/2 of 24 is 12 thus its age of Vinnie is 12 years.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers, but the division is not wholly complete.
For example, 1/3 is a fraction and in decimal, it is 0.333. Here 1 will be called a numerator while 3 will be the denominator.
Given that,
Age of Julie = 24 years
Age of Vinnie = 1/2 of 24
The 1/2 fraction of 24 will be
⇒ 24/2 = 12 years.
Hence "The fraction of 1/2 of 24 is 12 thus the age of Vinnie is 12 years".
For more about fractions,
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The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.
Answer:
Inequality 1) y≤110−x; shade down
Inequality 2) y≥80− -2/3x; shade up
Possible solution: (40,60)
*The drama club could sell 40 student tickets and 60 adult tickets.
Step-by-step explanation:
Hope I helped ;)
Solution is image 1.
One possible solution is = (0, 100).
Given that:
x represents the number of student tickets sold and
y represents the number of adult tickets sold.
According to the question:
[tex]x+y\le110\\7x+10.50y\ge840[/tex]
Using a graphing calculator the graph is: image 1.
One possible solution is = (0, 100).
Learn more: https://brainly.com/question/15816805
Classify the number: -135
Answer:
Integer, Rational number, Real number
Step-by-step explanation:
help i need help with pre-algebra
How do you write 8.43 × 10^-4 in standard form?
Answer:
0.000843
Step-by-step explanation:
simplify the expression:
8.43 × 0.0001
now simplify:
0.000843
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