A relationship between two expressions or values that are not equal to each other is called 'inequality. inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) is x≥-92/58.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is
53(2x + 2) – 10 ≥ 2x + 2(23x + 2)
Apply the distributive property
106x+106-10≥ 2x + 46x+4
Add the like terms
106x+96≥ 48x+4
Take all common variables on one side
106x-48x≥4-96
106x-48x is 58 and 4 minus 96 is minus 92.
58x≥-92
x≥-92/58
Hence inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) is x≥-92/58.
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Find the equation of the line with slope −7 which goes through the point (−5,5).
Give your answer in slope-intercept form y=mx+b.
Answer:
[tex]\boxed {\boxed {\sf y= -7x -30}}[/tex]
Step-by-step explanation:
We are asked to find the equation of a line, given a point and a slope.
We can use the point-slope formula:
[tex]y-y_1= m(x-x_1)[/tex]
In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:
x₁ = -5 y₁= 5 m= -7Substitute the values into the formula.
[tex]y-5= -7 (x- -5)[/tex]
[tex]y-5= -7(x+5)[/tex]
We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.
First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.
[tex]y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35[/tex]
5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.
[tex]y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30[/tex]
The equation of the line is y= -7x+30.
Jane & Jim spent the same amount of money today. If Jim spent
$5.25 on food and rode the train 3 times, and Jane spent $12.45 on
food and rode the roller coaster twice, then how much does a
token cost?
Answer:4$
Step-by-step explanation
The cost of one token is 7.2 dollars.
What is a linear equation in one variable ?A linear equation is an algebraic equation of highest degree 1 the number of variable is 1 also.
According to the given question Jane & Jim spent the same amount of money today.
Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.
Assuming cost of a token to be T.
∴ 5.25 + 3T = 12.45 + 2T.
3T - 2T = 12.45 - 5.25
T = 7.2.
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Dr. Brennen donated 49 duffle bags of First-aid kits to the Bahamas Red Cross. Each bag
contained 604 First-aid kits. How many First-aid kits did the Red Cross receive in all?
Answer:
29,596 first aid kits
Step-by-step explanation:
This is a multiplication problem. There are 604 kits in each duffle bag, and there are 49 duffle bags, so the equation is 604 x 49.
In the first step, we multiply 604 by 9 to get 5,436. In the second, we multiply 604 by 40 to get 25,160. Then we add the two numbers together to get 29,596.
Hope this helped :)
9/10 - _ = 1/5 mathematics
Answer:
x=7/10
Step-by-step explanation:
1/5=2/10
9/10- =2/10
Substitute the blank with X
9/10- X =2/10
x=7/10
Answer:
7/10
Step-by-step explanation:
9/10 - _ = 1/5
Let's represent the unknown as x
Therefore,
9/10 - x = 1/5
9/10 - 1/5 = x
x = 9/10 - 1/5 = 7/10
(-1/2+7/10)-(-3/4x-1/5)
Answer:
( − 1 2 + 71 0 ) − ( − 3 4 ⋅ − 1 ⋅ 1 5 )
Step-by-step explanation:
Help please Its about functions
I only got the first one, but i hope this helped :/
Which of the following expenses would be considered a “need” instead of a “want”?
Answer:
There are no options but what they are trying to say is which is more a need then a want. so a need is something like i broke my foot i "NEED" a docter fast. Want is like I just ate dinner and I "WANT" dessert. You can survive without that dessert.
Step-by-step explanation:
Find the inverse function of f informally.
Answer:
What is f?
Step-by-step explanation:
Whose statement is correct based on the expected value?
Step-by-step explanation:
only Hadley. and even that is not fully correct.
the expected value here gives us the overall most likely outcome of the scenario when throwing 2 balls.
and not ball by ball. and not directly a probability.
like rolling a die : the expected value of rolling a 6 in 6 attempts is 1 due to the individual roll probability of 1/6.
but the probabilty is NOT 1 or 100% (a guaranteed 6 in 6 attempts).
and that brings me to my concern with Hadley's statement. it says with conviction "the player will make ...". no, only "... will likely make ..." or "... on average".
Answer:
Step-by-step explanation:
neither statement is correct. right answer on khan
An octopus weighed 3 5/6 kilograms.After two weeks,its weight was increased by 1 4/5 kilgrams.But afterwards,it got sick and lost 2 7/15 kilograms.what is the current weight?
I think it's 3 1/6 kilograms
Step-by-step explanation:
3 5/6 + 1 4/5 since it increased
find the LCD (Least Common Denominator)
that would be 30
3 25/30 + 1 24/30
=4 49/30
= 5 19/30
Then we do subtraction since it lost some weight
5 19/30 - 2 7/15
find LCD again
5 19/30 - 2 14/30
=3 5/30
simplify
3 1/6 kilograms. That's what I think.
A father wants to buy a total of five milk drinks for his son and spend $7.95. Eggnog costs $1.55 and a peanut punch costs $1.65. Determine the number of each milk drink bought
Answer:
2
Step-by-step explanation:
$ 1.55 + $1.65 = $3.11
the budget is $7.95
$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2
What is the solution set for this inequality?
- 6x + 30 < -18
0x<-2
0x<&
Ox>-2
Ox>8
Answer:
x>8
Step-by-step explanation:
[tex]- 6x+ 30 < - 18 \\ - 6x < - 18 - 30 \\ - 6x < - 48 \\ \frac{ - 6x}{ - 6} < \frac{ - 48}{ - 6} \\ x > 8[/tex]
Write x^2+3x-8 in the form of (x+p) ^2+q
Answer:
(x+1.5)^2 -10.25
Step-by-step explanation:
1)first, we half 3 to give us 1.5
(x+1.5)^2
2)square 1.5=2.25
so far we have (x+1.5)^2 - 2.25 --- the negative sign from 2.25 is part of the formula
3)we subtract 8 from -2.25. the 8 comes from here shown in bold ----- x^2+3x-8
4) (x+1.5)^2 -2.25 - 8
5)simplify the last part by doing -2.25 - 8= -10.25
6)answer is (x+1.5)^2 - 10.25
Help help help please math please
100 points! show work or else i report
A certain microwave requires 1200 watts. How much would it cost to run the microwave for a total of 30 minutes (defrosting chicken) at a cost of $0.20 per kilowatt hour?
[tex]\boxed{\sf E=Pt}[/tex]
E is energy
P is power
t is time in hours
E=1200(0.5h)E=600WhE=0.6KwhCost
0.6(0.2)$0.12Answer:
$0.12
Step-by-step explanation:
Conversions
1000 watts = 1 kilowatt-hour
⇒ 1200 watts = 1.2 kilowatt-hour
60 minutes = 1 hour
⇒ 30 minutes = 0.5 hour
A microwave requiring 1200 watts will use 1.2 kilowatts per hour.
If the microwave is used for a total of 30 minutes, it will use:
⇒ 1.2 × 0.5 = 0.6 kWh
If the cost is $0.20 per kWh, the cost of running the 1200 watt microwave for 30 minutes is:
⇒ 0.6 × $0.20 = $0.12
Simplify (-2)^4(-2) =
(3st)^2 =
7^0=
Answer:
-32
Step-by-step explanation:
-0.15 as a mixed number
Answer:
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number. It is partly a whole number. It is partly a fraction.
If f(x)=8-5x, what is f(4p+3)
Answer:
-20p - 7
Step-by-step explanation:
f(x)=8-5x
f(4p+3) = 8 - 5(4p + 3)
= 8 - 20p - 15
= -20p -7
can find anything to answer this
Answer:
where?
Step-by-step explanation:
maybe I can help to your question
Use a calculator to solve the following equation for θ on the interval [−π2,π2]. csc(θ)=−5 Select all correct answers.
[tex]csc(\theta )=-5\qquad -\frac{\pi }{2}<\theta <\frac{\pi }{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=-5\implies \stackrel{\textit{using the reciprocal of } csc(\theta )}{\cfrac{1}{sin(\theta )}=-5}\implies \cfrac{1}{-5}=sin(\theta ) \\\\\\ sin^{-1}\left( -\frac{1}{5} \right) = sin^{-1}[sin(\theta )]\implies sin^{-1}\left( -\frac{1}{5} \right) = \theta \implies \begin{array}{llll} -11.54^o\\ ~\hfill or\\ 348.46^o \end{array} \approx \theta[/tex]
The value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval [−π/2,π/2].
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
cosec(θ)=−5 for interval [−π/2,π/2].
We know Sinθ=1/cosecθ
Cosecθ=1/sinθ
Now cosec(θ)=−5
-5=1/sinθ
sinθ=-1/5
θ=sin⁻¹(1/5)
θ=sin⁻¹(1/5)
θ=-11.54⁰ or 348.86⁰
Hence the value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval [−π/2,π/2].
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Use the Distributive Property to expand 3(6x-4y)-8
Answer:
[tex]18x - 12y -8[/tex]
Step-by-step explanation:
Distribute property means that [tex]a(b+c)=ab+ac[/tex]
Meaning that you will have to multiply 3(6x) and 3(-4y)
3(6x) = 18x and 3(-4y) = -12y and because -8 isn't inside the parenthasis we don't multiply 3 and -8
LM bisects
KL = LN
m
m
m
Answer:
Only one must be true
Step-by-step explanation:
If a ≠ 0 and b ≠ 0 which of the following is equivalent to 2/3a 1/b?
Answer:
58
Step-by-step explanation:
Solve the problem using a system of equations: The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers.
(__,__),(__,__)
The numbers which hold true for the situation modelled in the task content are; (-√15, 0) and (+√15, 0).
Which numbers hold true for the situation?The system of equations which model the situation is;
x²- y² = 15
2x² - y² = 30.
Hence, by subtracting equation 1 from 2; we have;
x² = 15
x = ±√15.
and hence by substitution; the value of y is;
(√15)² + y = 15
y = 0.
Hence, the required values of the numbers are;
(-√15, 0) and (+√15, 0).
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how do you do this?? could you kindly include your work pls..
Answer:
B. 0.
Step-by-step explanation:
(x + 2y)dy/dx = 2x - y
dy/dx = (2x -y)/(x + 2y)
Using implicit differentiation and the Quotient Rule:
d^2y/dx^2 = (x + 2y)(2 - y*dy/dx) - ((2x - y)(1 + 2y*dy/dx)) / (x + 2y)^2
At the point (3, 0), dy/dx = (6-0)/(3 + 2(0)) = 2.
So substituting in d^2y/dx^2, we have:
(3 + 0)(2 - 0) - (6-0)(1 + 2(0))/ (3+0)^2
= (6 - 6) / 9
= 0.
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A. 5
O B. //
1
C.
091
D. -5
Answer:
its C. 1/5
Mark me BRAINLIESTi will mark as brainliest PLZ HELPPPPPP
in which system are the lines parallel ?
the equation of a line with slope2/5 and y-intercept 1 is
Step-by-step explanation:
y=(2/5)x + 1
that is the answer
Answer:
y=2/5x+1
Step-by-step explanation:
y=mx+b
m=2/5
b=1
Hope this helps :)
Find the slope of the line that passes through:
(-3,-4) and (76)
Answer:
Point slope form: y − 7 = 3 4 ( x − 3 ) Slope intercept form: y = 3 4 x + 19 4 or y = 3 4 x + 4 3 4
Step-by-step explanation:
hope this helps, have a nice day/night! :D
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Answer:
Slope = 1
Step-by-step explanation:
Slope = change in y / change in x
Slope = 6 - (-4)/7 - (-3)
Slope = 10/10
Slope = 1
-Chetan K