Answer:
4 < x < 12
Step-by-step explanation:
Given:
[tex]\displaystyle \large{9|x-8| < 36}[/tex]
Divide both sides by 9:
[tex]\displaystyle \large{|x-8| < 4}[/tex]
Theorem:
For [tex]\displaystyle \large{|x-a| < b}[/tex], since absolute is less than a constant, the interval or solution is:
[tex]\displaystyle \large{-b < x-a < b}\\\displaystyle \large{-b+a < x < b+a}[/tex]
Therefore:
[tex]\displaystyle \large{|x-8| < 4 \to -4 < x-8 < 4}\\\displaystyle \large{-4+8 < x < 4+8}\\\displaystyle \large{4 < x < 12}[/tex]
Therefore, the solution is 4 < x < 12
Answer:
4 < x < 12
Step-by-step explanation:
9|x - 8| < 36
Divide both sides by 9:
|x - 8| < 4
Solution 1
(x - 8) < 4
Add 8 to both sides:
x < 12
Solution 2
-(x - 8) < 4
-x + 8 < 4
Subtract 8 from both sides:
-x < -4
Divide both sides by -1 (remembering to change the direction of the sign):
x > 4
Therefore, the solution to the inequality is 4 < x < 12
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = [tex]\sqrt{165}[/tex]
Step-by-step explanation:
Pythagorean Theorm: a^2 + b^2 = c^2
a^2 + b^2 = c^2
14^2 + x^2 = 19^2
196 + x^2 = 361
x^2 = 165
x = [tex]\sqrt{165}[/tex]
A cylinder has a radius of 10 feet and a height of 11.4 feet.
What is the approximate volume of the cylinder?
Answer:
716.57
Step-by-step explanation:
V=πr2h
V = 2×22/7×10×11.4
= 716.571
give me a brainliest
I’m having trouble can someone find this answer out
Answer:
f(x) = 13 when x = 10.
Step-by-step explanation:
[tex]f(x)=\frac{x}{2}+8[/tex]
[tex]f(10)=\frac{10}{2}+8[/tex]
[tex]f(10)=5+8[/tex]
[tex]f(10)=13[/tex]
Therefore, f(x) = 13 when x = 10.
13
Solution:Plug in the value of x, which is equivalent to 10, instead of x:[tex]f(10)=\displaystyle\frac{10}{2} +8[/tex]f(10)=5+8f(10)=13Hope it helps.
Do comment if you have any query.
Round your answer to the nearest hundredth.
Answer:
41.81°
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Determine the net change between the given values of the variable.
f(x) = 7x − 9; x = 2, x = 3
Answer:
the net change is 7
if u substitute x with
2 u get 5
3u get 12
4 u get 19
I NEED HELP ASAP
QUESTION BELOW
Answer:
Circumference ≈ 50.27
Area ≈ 201.06
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex] while the area of the circle [tex]\pi r^{2}[/tex]
Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × [tex]\pi[/tex] × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be [tex]\pi[/tex] × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)
In a history class, 30 students were asked about other courses that they were enrolled in: 20 said they were taking math, 22 were taking English and 26 students were in either math or English. a) How many students are taking both math and English b) How many are in neither c) What percent of the students are taking math but not English
16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English
What is probability?Probability is the likelihood of occurrence of an event. It is given by:
Probability = number of occurrence / total possible outcomes.
Let x represent the number of students that took both maths and english, hence:
Number of students taking only maths = 20 - x
Number of students taking only english = 22 - x
26 = 20 - x + (22 - x) + x
42 - x = 26
x = 16
b) Those who took neither = 30 - 26 = 4
c) those taking only math = 20 - 16 = 4.
Percentage = (4/26) * 100 = 15.38%
16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English
Find out more on probability at: https://brainly.com/question/24756209
The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free
throws, find how many free throws she attempted.
a 3 free throws
c. 21 free throws
b. 7 free throws
d. 4 free throws
B
С
D
Mark this and retum
Save and Exit
Next
Submit
Answer:
21
Step-by-step explanation:
I noticed that 4 times 3 equals 12, which is the number of free throws she completed. I multplied 3 by 7 and got 21
mhm so basically if you this about it the number of letters in the rainbow is also the color of your dog WAKE UP WAKEUP WAKEUP and if your dog's color matches the blue sky the answer is b
A house blueprint has a scale of 1 in. : 6 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint.
Answer:
The dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().
Given information:
A house blueprint has a scale of 1 in : 4 ft.
The length and width of each room in the actual house are shown in the table below:
Living room Kitchen Office Bedroom Bedroom Bathroom
Length 20 16 8 8 20 6
width 8 16 16 16 20 8
The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.
So, the length and width of the different rooms in te house in the blueprint will be,
Living room Kitchen Office Bedroom Bedroom Bathroom
Length(in) 5 4 2 2 5 1.5
width(in) 2 4 4 4 5 2
Therefore, the dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().
For more details, refer to the link:
brainly.com/question/2305449
Step-by-step explanation:
hope this helps
Select all of the numbers that round to 5.1 when rounded to the nearest tenth.
A. 5.0
B. 5.01
C. 5.016
D. 5.099
E. 5.13
F. 05.17
Answer:
D and E
Step-by-step explanation:
pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9
Answer:
5x(squared)-4x+1
2x(squared)+11xy+14
7x(squared)+7xy+3x-17
Step-by-step explanation:
What is the mode of the data represented in this line plot?
Enter your answer in the box.
Answer:
3
Step-by-step explanation:
The mode is 3 because it is the most commonly repeating number in the data set.
The mode of the data represented in this line plot is 3
How to determine the mode?From the line plot, we have the following frequency table
Data Frequency
1 2
2 3
3 4
4 3
In the above frequency table, the entry 3 has the highest frequency of 4
Hence. the mode of the data is 3
Read more about mode at:
https://brainly.com/question/14532771
#SPJ2
In making a budget, a person should spend about one-third of his or her salary on
rent or housing, should put about one-tenth into a savings account, and should
plan to have about one-third taken out in taxes. What fraction of a person’s salary
is then left for everything else?
Lets see
One-third on rentOne tenth on savingsOne third for taxesLeft:-
1-(1/3+1/10+1/3)1-(20+20+3/30)1-43/3030-43/10-13/10Not left anything
20 POINTS ALL FOR YOU IF YOU ANSWER IT
Answer:
look i don't have a paper,but
(3x+10)+(2x+20)=180from here you can do the math and get the XAnswer:
x=30
angle ABC=100
angle DBC=80
You buy x bags of chips for $.75 per bag. How much do you spend on chips.
Answer:
Step-by-step explanation:
Equation
Cost = 0.75 * x
The answer is Cost = 0.75 * x
Find the two correct values of x in the equation 3x² = y when y = 75.
Answer:
5 and -5
Step-by-step explanation:
3x² = 75
x² = 75/3
x² = √25
x = 5 and - 5
june uses 12eggs to make cupcakes she uses 4eggs for each batch of cupcake
Answer:
12/4=3
Step-by-step explanation:
12/4
Answer:
3 batches
Step-by-step explanation:
Assuming that you are asking for how many batches she can make, we can divide 12 by 4 to find the number of batches.
Write the equation in slope-intercept form. y=−5(x+6)+2x
Answer:
y = −3x −30
Step-by-step explanation:
Slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)y = −5(x + 6) + 2x <== distribute -5
y = −5(x) + −5(6) + 2x
y = −5x −30 + 2x <== combine like terms
y = −3x −30
y = −3x −30
-3 = slope-30 = y-intercept (0, -30)Hope this helps!
The number of homeless people in a city decreased from 1800 to 1500. Find the percentdecrease in homelessness.
Bob had 50 cupcakes. he gave 1/5 of the cupcakes to his uncle,, 2/5 of them to his Grandpa. Bob kept the rest. how many cupcakes did each person get?
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Step-by-step explanation:
Which value of x from the set 4, 5, 6, 7}, makes this equation true?
4(8 - x) = 8
A. 4
B. 5
c. 6
D. 7
4(8-x)=8
8-x=8/4
8-x=2
-x= 2-8
-x= -6
x=6
-> c
Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)
Answer:
A:
-4x(2x2 – 3x + 7)
Step-by-step explanation:
Help with this question
Answer:
b = 5√3
Step-by-step explanation:
I would honestly just use pythag, but I'll use trig:
tanθ = opposite/adjacent
tan(30°) = 5/b
btan(30°) = 5
b = 5/tan(30°)
b = 5/(√3/3) = 15/√3
b = 15/√3 · (√3/√3) = 15√3/3
b = 5/√3
Check with pythag:
a² + b² = c²
5² + 5√3² = 10²
25 + 25(3) = 100
25 + 75 = 100 ✅
I hope this helps!
A populations growth rate is r=3% per year how many years does it need to reach ten times its initial size
Answer:
333.3 years
Step-by-step explanation:
The formula
I = PrtCondition
I needs to equal 10 x PSolving
I = Prt10P = Prt10 = 0.03 x tt = 10/0.03t = 10/3 x 100 = 1000/3 = 333.3 yearsEvaluate Grace's new budget.
ОА. Her new budget should have money in every budget category, including debts and medical expenses
OB. Her new budget should have money in medical expenses because she does not know what medical problems she will
encounter in the future.
OC. Her new budget is fine because debts and medical expenses were not needed last month.
OD. Her new budget should have money in debts so that she can afford to go into debt if she has medical expenses.
Prove: AB/CD =AC/CD
Check out the other post with this question to understand it fully.
Answer:
Step-by-step explanation:
Find the measure picture attached
Answer:
30
Step-by-step explanation:
90 - 60 = 30
PLEASE HELPPP !! use the pythagorean therorem equations and find the missing length of the side.
Answer:
if you want to find c do sqrt( a² + b²)
if you want to find a do sqrt( c² - b²)
if you want to find b do sqrt( c² - a²)
Sarah's family has a circular swimming pool The circumference of the pool is 25.12 m. What is its area
Answer:
4889.26m²
Step-by-step explanation:
[tex]Solution,\\\\Here,\\\\Circumference(C)=25.12 m\\\\Radius(r)=?\\\\As,\\\\\hookrightarrow Circumference=2\pi r\\\\\hookrightarrow 25.12m/2\pi =r\\\\\hookrightarrow r=39.45m\\\\Now,\\\\Area=\pi r^{2} \\\\Area=\pi \times(39.45m)^{2} \\\\Area=4889.26m^{2}[/tex]
Find the area of this parallelogram.
A) 20 B) 24 C) 40 D) 60
[tex]\underline{\clubsuit{\bf{Given-}}}[/tex]
Height of the Parallelogram = 4cmi.e, H = 4cm
Breadth of the Parallelogram = 10cmi.e, B = 10cm
Measure a side of the Parallelogram = 6cm.PS - Neglecting this because it is given just to puzzle us nothing else.
[tex]\underline{\clubsuit{\bf{To\:find-}}}[/tex]
the area of the Parallelogram.[tex]\underline{\clubsuit{\bf{Concept-}}}[/tex]
— Area of Parallelogram Formula
A parallelogram's area is defined as the space enclosed by two pairs of parallel lines. Since a rectangle and a parallelogram have identical properties, the area of a parallelogram equals the area of a rectangle.
— What's the procedure to find?
To find the area of the parallelogram, we have to multiply the base (denoted by B) of the perpendicular by its height (denoted by H). We should keep in mind that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base. Thus, a dotted line is drawn to represent the height.
— Formula
Area of Parallelogram = Breadth (B) × Height (H)
[tex]\underline{\clubsuit{\bf{Solution-}}}[/tex]
Applying the formula and putting the values stated above,
[tex]\rightarrow{\sf{Area=10\times4}}[/tex]
[tex]\rightarrow{\boxed{\bf{Area=40cm^2}}}[/tex]
Hence, the area of the Parallelogram is 40cm².
