Answer:
x<±1 and x< -3
Step-by-step explanation:
Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality
x^2-1/3x+9<0
x^2-1/3x+9 (3x+9)²<0* (3x+9)²
(x^2-1)(3x+9) < 0
x²-1 < 0 and 3x + 9 <0
x²-1 < 0
x²<1
x<±√1
x<±1
Also 3x + 9 <0
3x < -9
x < -9/3
x < -3
Hence the required values of x are x<±1 and x< -3
Convert 0.263 repeating (the 63 are repeating) into a fraction.
Answer:
[tex]\frac{29}{110}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 63 placed after the decimal point
let x = 0.2636363.... ( multiply both sides by 10 and 1000 )
10x = 2.6363... → (1)
1000x = 263.6363.... → (2)
Subtracting (1) from (2) eliminates the repeating value, that is
990x = 261 ( divide both sides by 990 )
x = [tex]\frac{261}{990}[/tex] = [tex]\frac{29}{110}[/tex] ← in simplest form
The number n = 0.263 as a fraction is A = 263/999
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the number be represented as n = 0.263
Now , the Let x = 0.263636363 repeating
Multiply both sides by 1000 to move the decimal point to the right:
1000x = 263.636363 repeating
Subtract x from both sides:
999x = 263
Divide both sides by 999:
x = 263/999
Hence , 0.263636363 repeating is equivalent to the fraction 263/999
To learn more about fractions click :
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Hi, please help me
c - 4d =
C= 10
D=2
It's algebra
Answer:
All you do is replace the variable with the numbers given to replace them.
So your new equation is 10-4(2) this was given to you C=10 , D=2
Okay, let's solve it 10-4(2)
4*2 equals 8 so now it's 10-8
10-8
= 2
PLES HELP MEH
What's the point of intersection of the x-axis and y-axis on a coordinate plane?
A. Coordinate plane
B. Origin
C. Ordered pairs
D. Quadrants
REALLY EASY MATHS QUESTION PLS HELP
(I think it easy lol)
Answer:
no.2 no.5
Step-by-step explanation:
i don't know how to explain
have a good rest of your day
Answer:
question (1) c^2=a^2+b^2
Step-by-step explanation:
pythagoras theorem
Work out the percentage change when a price of £400 is decreased to £225
Answer:
1.77%.Step-by-step explanation:
The answer is 1.77%.
HOPE THIS IS CORRECT AND HELPS YOU!!!
Answer:
1.75%
Step-by-step explanation:
1.75%is correct answer
Find the measure of the indicated angle that makes line u and b parallel
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer: 3/16
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Your factory installed tires have a comfort that 95 inches if the odometer reading reading is 32,000 miles on your car you have tires with a conference have 103 inches how many miles have you actually traveled
Answer:
The correct solution is "35440.8".
Step-by-step explanation:
The given values are:
Bigger tire's circumference,
= 103 inches
Factor installed tire's circumference,
= 95 inches
Odometer reading,
= 32,000 miles
As we know,
⇒ [tex]Actual \ distance = K\times odometer \ reading[/tex]
Where,
⇒ [tex]K = \frac{Bigger \ tier \ circumference}{Factor \ installed \ tier \ circumference}[/tex]
i.e.,
⇒ [tex]K=\frac{103}{95}[/tex]
On applying the formula,
⇒ [tex]Actual \ distance \ travelled=\frac{103}{93}\times 32,000[/tex]
⇒ [tex]=35440.8[/tex]
can someone explain how to find the slope
Answer:
slope is rise over run. first select a point. I'll use (0,-1). to get to the next complete point, you would have to go up (rise) 3 points and right (run) 1 point. the rise over run (3/1) divides evenly to 3. hope this helps!
5,423,000 divided by 100,000 ( Please help ASAP)
Answer:
54.23
Step-by-step explanation:
i just divided in calculator
AMC 10/12 Student Practice Questions
Guide to Student Practice Questions
Each of the following four large congruent squares is
subdivided into combinations of congruent triangles or
rectangles and is partially shaded. What percent of the total
area is partially shaded?
I
The original problem
and choices from the
2011 AMC 8 contest
(A) 12 (B) 20
(C) 25 (D) 33 (E) 37
Answer:
[tex]\mathrm{C.\:}25[/tex]
Step-by-step explanation:
Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are [tex]16[/tex] of these parts in total. Because each of these parts make up [tex]\frac{1}{4}[/tex] of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.
The top left and bottom right both have one part shaded each for a total of [tex]2[/tex] parts.
The top right and bottom left have [tex]0.5[/tex] and [tex]1.5[/tex] parts shaded, respectively, for a total of [tex]2[/tex] parts.
Therefore, in total, there are [tex]2+2=4[/tex] parts shaded out of [tex]16[/tex] total parts.
Thus, the percentage of the total area that is shaded is:
[tex]\frac{4}{16}=\frac{1}{4}=\fbox{$25\%$}[/tex].
The cost of a hamburger is $1.15 more than an order of large fries bill bought two hamburger ms and an order of large fries for a total of $8.60 what is the price of each item
Answer:
The cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].
Step-by-step explanation:
Let the cost of an order of large fries be [tex]\$ x[/tex].
Then, the cost of a hamburger is [tex]\$ x+\$1.15[/tex].
Bill bought two hamburgers and an order of large fries for a total of [tex]\$ 8.60[/tex].
So, [tex]2(x+1.15)+x=8.60[/tex]
[tex]\Rightarrow 2x+2.30+x=8.60[/tex]
[tex]\Rightarrow 3x=8.60-2.30[/tex]
[tex]\Rightarrow 3x=6.30[/tex]
[tex]\Rightarrow x=\frac{6.30}{3}[/tex]
[tex]\Rightarrow x=2.10[/tex]
So, the cost of an order of large fries is [tex]\$ 2.10[/tex].
And, the cost of a hamburger is [tex]\$2.10+\$1.15=\$3.25[/tex].
Hence, the cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].
Simplify the Expression
Answer:
[tex]125a^{3}b^{2}[/tex]
Step-by-step explanation:
Pls help it due ASAP and show workings
Answer:
it's 70°
Step-by-step explanation:
well first by vertical angles we know that
[tex]\angle BAC = \angle DAE\\\\\angle DAE = 4x+6[/tex] ( I don't know how to put the symbol xd)
and given we know that
[tex]\angle EAF = \angle EAD = 4x+6[/tex]
solving for x
we know that
[tex]\angle CAD = 180\\\\\angle CAB + \angle ABD = 180\\\\4x+6+6x+14=180\\\\10x+20=180\\\\10x=160\\\\x=16[/tex]
and now for [tex]\angle EAF[/tex]
[tex]\angle EAF = 4x+6\\\\\angle EAF = 4(16)+6\\\\\angle EAF = 64+6\\\\\angle EAF = 70[/tex]
A gym charges a one time sign-up fee of $10.25 and then $5 each time you go. A student paid a total of $137.25. How many times did the student go to the gym?
Answer:
25.4 or 25 times
Step-by-step explanation:
137.25-10.25=127
127/5=25.4
Please Help, I need to answer this ASAP and will automatically give brainliest
Answer:
12 and 18
Step-by-step explanation: since i helped can i have brainlist please :D
-3(3p-1)<7p+51 help plssss
Answer:
p > -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-3(3p - 1) < 7p + 51
Step 2: Solve for p
Distribute -3: -9p + 3 < 7p + 51Add 9p to both sides: 3 < 16p + 51Subtract 51 on both sides: -48 < 16pDivide 16 on both sides: -3 < pRewrite: p > -3Here we see that any value p greater than -3 would work as a solution to the inequality.
(3x+10y=54 and x=y+5 )
Answer:
y=3 x=8
Step-by-step explanation:
Which has a greater slope (Rate of change)?
the graph
the table
Answer:
The graph
Step-by-step explanation:
The graph has a slope of 2 while the table has a slope of 1.
2-1/6/5=1/1=1
2>1
Rewrite the following sentence as an equation.
The product of three and the sum of a number and
two is zero.
Answer:
3(2+x)=0
Step-by-step explanation:
Here are some vocab words:
Product: Multiplication
Sum: Addition
"A number": x
3(2+x)=0
Simplify
2x + x + x + 2y x 3yx y
Answer ?
Answer:
4x + 6y ...y cube
like y square y cube y3
Answer:
4x + 6y^3
Step-by-step explanation:
2x + x +x + 2y x 3y x y
4x + 6y^3
5 3/13 rounded to the nearest whole number
Answer:
it should be 5
Step-by-step explanation:
3/13 is smaller than 5.5 which would round up to 6, therfore is should be 5
Answer:
37
Step-by-step explanation:
What is the length of segment AB?
A) 2
B)2.5
C) 5
D) 10
Help please, will mark you brainliest (Only if the answer is correct)
Answer:take numbers first, the Lcm is 24
Consider x, the highest power is 2
y, the highest power is 3
and z has 2 as its highest power.
:. The lcm is 24 x^2y^3z^2
Step-by-step explanation:
Answer:
this is me with another account, adding another anser just to mark you brainliest lol
Step-by-step explanation:
A laundry basket has 24 t shirts in it four are navy 12 are red and the remaining are white.what the probability of not selecting a white shirt
Y=-5x+4
-10-2(-5x+4)=12
Step-by-step explanation:
x=3
y=19
hope this helps if u need me to explain u can ask hope it helps
Jessica deposited $5000 in a simple interest account 4 years ago. She has earned $680 in interest so far. What is the interest rate for this account?
Answer:
$170
Step-by-step explanation:
every year she got $170 interested
Can someone tell me what the answer is and how u solve it?
Answer:
y-6=-2(x-6)
y-6=-2x+12
y= -2x+6
6 is the line crossing on the y axis (B from y=mx+b)
and -2/1 is slope so 2 below and 1 right HOPE THIS HELPED
Step-by-step explanation: (IDC ABOUT THE THINGY HERE :D)
Need help on this please and thank you
Answer:
(1,9)
Step-by-step explanation:
A museum recorded that it had 988 visitors in 4 hours. What is the unit rate in visitors per hour?
A.). 222
B.) 247
C.). 249
D.). 262