Answers
______________________________
1.) Multiply both sides of the equation by 5:[tex]81[/tex] × [tex]5=405[/tex][tex]55[/tex] × [tex]5=275[/tex]- Since 5 is positive, the inequality direction remains the same.
Inequality at the end of Step 1:
[tex]405-(1[/tex] × [tex]5+1)[/tex] ≤ [tex]275[/tex]2.) Solve the parenthesis:Multiply 1 and 5 to get 5.Add 5 and 1 to get 6.- We turn the fraction into parenthesis by multiplying because a fraction is originally is dividing, so we have to do the opposite, which in this case is multiplying.
Inequality at the end of Step 2:
[tex]405-6x[/tex] ≤ [tex]275[/tex]3.) Subtract 405 from both sides:[tex]405-405=[/tex] Cancels Out[tex]275-405=-130[/tex]- We do this to get 1 number/variable on each side.
Inequality at the end of Step 3:
[tex]-6x[/tex] ≤ [tex]-130[/tex]4.) Divide both sides by −6:[tex]-6x[/tex] ÷ [tex]-6=x[/tex][tex]-130[/tex] ÷ [tex]-6=\frac{-130}{-6}[/tex]- Since −6 is negative, the inequality direction is changed.
Inequality at the end of Step 3:
[tex]x[/tex] ≥ [tex]\frac{-130}{-6}[/tex]5.) Reduce the fraction [tex]\bold{\frac{-130}{-6}}[/tex] to lowest terms by extracting and canceling out −2:[tex]-130[/tex] ÷ [tex]-2=65[/tex][tex]-6[/tex] ÷ [tex]3[/tex]- Extracting and cancelling out just means dividing. So we just divide the numerator and denominator by -2.
Inequality at the end of Step 5:
[tex]x[/tex] ≥ [tex]\frac{65}{3}[/tex]6.) Turn the fraction into a mixed number:[tex]\frac{65}{3}=21\frac{2}{3}[/tex]- You can figure this out by dividing 65 by 3 which gives you a decimal, then turn the decimal into a fraction.
______________________________
Related Questions
ILL MARK BRAINLIST pls help
Answers
You cut out the question-
Change 13/5 to a mixed number PLEASE HELP ME
Answers
Answer:
[tex] 2 \frac{3}{5} [/tex]
Step-by-step explanation:
13 = 5 + 5 + 3
[tex] \dfrac{13}{5} = [/tex]
[tex] = \dfrac{5 + 5 + 3}{5} [/tex]
[tex] = \dfrac{5}{5} + \dfrac{5}{5} + \dfrac{3}{5} [/tex]
[tex] = 1 + 1 + \dfrac{3}{5} [/tex]
[tex] = 2 \frac{3}{5} [/tex]
Answer:
[tex]2\frac{3}{5}[/tex]
The fraction consists of two numbers and a fraction bar: 13/5 The number above the bar is called numerator: 13 The number below the bar is called denominator: 5 The fraction bar means that the two numbers are dividing themselves. To get fraction's value divide the numerator by the denominator: Value = 13 ÷ 5
To calculate the greatest common factor, GCF: 1. Build the prime factorizations of the numerator and denominator. 2. Multiply all the common prime factors, by the lowest exponents. Factor both the numerator and denominator, break them down to prime factors: Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 13 is a prime number, it cannot be factored into other prime factors; 5 is a prime number, it cannot be factored into other prime factors; * Positive integers that are only dividing by themselves and 1 are called prime numbers. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself. Multiply all the common prime factors, by the lowest exponents. But, the numerator and denominator have no common factors. gcf (13; 5) = 1Fraction 13/5 is a positive improper fraction (numerator > denominator).Mixed number = a whole number and a proper fraction, of the same sign. Proper fraction = numerator smaller than denominator.
13 ÷ 5 = 2 and remainder = 3 =>
13 = 2 × 5 + 3 =>
13/5 =
(2 × 5 + 3) / 5 =
2 + 3/5 =
2 3/5
Evaluate the expression when x = 3 and y = 5.
1: 2xy
2: 6y divided by x
3:4y- x
4:Y(to the power of two) -7x +2
Answers
Step-by-step explanation:
x = 3 and y = 5.
1: 2xy
2 x 3 x 5
=30
2: 6y divided by x
6 x 5 / 3
30/3
=10
3:4y- x
4 x 5 -3
20-3
=17
4:Y(to the power of two) -7x +2
5^2 -7 x 3 + 2
25-7x3+2
25-21+2
25-19
=6
- 4+-3 - (-11) =
O
O 10
0-18
04
Answers
-4+-3-(-11)
-4-3+11
-7+11
=4
316,052 + 10,013+ 7,099+6,004
Answers
Answer:
2
Step-by-step explanation:
given h(x)=-x-3, find h(-6)
Answers
Answer:
h(-6) = 3
Step-by-step explanation:
h(x) = -x - 3
h(-6) = -(-6) - 3
h(-6) = 6 - 3
h(-6) = 3
There once was a ship that put to sea
The name of the ship was the Billy of Tea
The winds blew up, her bow dipped down
O blow, my bully boys, blow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
She had not been two weeks from shore
When down on her a right whale bore
The captain called all hands and swore
He'd take that whale in tow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Before the boat had hit the water
The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
No line was cut, no whale was freed
The Captain's mind was not of greed
And he belonged to the whaleman's creed
She took that ship in tow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
For forty days, or even more
The line went slack, then tight once more
All boats were lost, there were only four
But still that whale did go
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
As far as I've heard, the fight's still on
The line's not cut and the whale's not gone
The Wellerman makes his regular call
To encourage the Captain, crew, and all
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Answers
The name of the ship was the Billy of Tea
The winds blew up, her bow dipped down
O blow, my bully boys, blow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
She had not been two weeks from shore
When down on her a right whale bore
The captain called all hands and swore
He'd take that whale in tow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Before the boat had hit the water
The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
No line was cut, no whale was freed
The Captain's mind was not of greed
And he belonged to the whaleman's creed
She took that ship in tow
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
For forty days, or even more
The line went slack, then tight once more
All boats were lost, there were only four
But still that whale did go
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
As far as I've heard, the fight's still on
The line's not cut and the whale's not gone
The Wellerman makes his regular call
To encourage the Captain, crew, and all
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go
How are (5.3,1) and (-5.3,1) related?
Answers
Answer:
i think because theyre like terms, im not sure tho
Tom enjoys going to the hardware store. In the past three
weeks, he has spent a total of $85.84 on a hammer, nail
gun, and box of nails. What amount shows his average
spending per week?
A) $14.31
B) $28.61
C) $69.93
D) $85.84
Answers
Answer:
B) $28.61
Step-by-step explanation:
Average spending per week:
85.84 ÷ 3 ≈ 28.61
Find the volume of a cone with a height of
9in and a diameter of 12in.
Answers
Answer:
339.12 in³
Step-by-step explanation:
volume of cone: v = Bh/3 = πr²h/3
v = (3.14 * (12/2)² * 9 )/ 3 = 339.12
So the African bush elephant weighs between 4.4 tons and 7.7 tons what are its least and greatest weights rounded to the nearest ton ?
Answers
Answer:
least: 4 tons, greatest: 8 tons
Step-by-step explanation:
.4 round down (5 and up, round up rule)
.7 round up
1.) Given : S is the midpoint of RT; PR = PT
Prove : PRS = PTS
2.) Given : E is the midpoint of AB and CD
Prove: AEC=BED
Answers
Answer: 1.
Given: S is the midpoint of RT
PR=PT
To Prove: PRS=PTS
Step-by-step explanation:
If PR=PT in a triangle PRT, then the triangle is isosceles triangle.
Therefore, ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)
In ▲PRS and ▲PTS
PR=PT
∠PRT=∠PTR
PS=PS (PS is common)
therefore, ▲PRS≅▲PTS
Therefore, ∠PRS=∠PTS
Hence proved.
Answer: 2.
Given: E is the midpoint of AB and CD.
To Prove: AEC=BED
Step-by-step explanation:
If AB and CD are the diagonals of rectangle, then
diagonals AB=CD, sides AC=BD and AD=BC
In ▲AEC and ▲BED,
∠AEC=∠BED(vertically opposite angles)
AE=BE
AC=BD
therefore, ▲AEC≅▲BED
Therefore, ∠AEC=∠BED
Hence Proved.
The proofing of each part should be explained below.
Prove:a.
In the case when
PR=PT in a triangle PRT,
So the triangle is an isosceles triangle.
Therefore, ∠PRT=∠PTR
Now
In ΔPRS and ΔPTS
PR=PT
So,
∠PRT=∠PTR
So,
PS=PS (PS is common)
ΔPRS≅ΔPTS
Hence proved.
2.
In the case when AB and CD are the diagonals of the rectangle,
So,
diagonals AB=CD, sides AC=BD and AD=BC
In ΔAEC and ΔBED,
So,
∠AEC=∠BED
That means
AE=BE
AC=BD
therefore, ΔAEC≅ΔBED
Hence Proved.
Learn more about the midpoint here; https://brainly.com/question/24600215
The table below shows the number of tea bags needed to make different amounts of iced tea. What is the total number of quarts of iced tea that can be made with 24 tea bags?
Answers
Answer:
6
Step-by-step explanation:
Search it up.
For 24 Tea bags 6 quarts of iced tea that can be made.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
We have the Table,
With 8 tea bags, 2 Quartz of Iced Tea made.
As, there is proportionality between two values.
So, 16 / 4= 24 / x
4 = 24 / x
x = 24/4
x= 6
Hence, For 24 Tea bags 6 quarts of iced tea that can be made.
Learn more about proportion here:
https://brainly.com/question/26974513
#SPJ2
A ladder 5 m long, leaning against a vertical wall makes
an angle of 65° with the ground. How far up the wall is
the top of the ladder?
Answers
Step-by-step explanation:
Given:length of ladder =5 m
Angle formed = 65°
Let h be the Height of the top of the ladder from the ground
Required:Height of the top of the ladder from the ground
Equation:SOH-CAH-TOA
Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH
[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]
[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]
[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]
[tex]opposite\:=\:4.53 \:m[/tex]
Final Answer:The height of the top of the ladder from the ground is 4.53 mPlease refer to the photo for the illustration
help! i will mark brainliest!
Answers
Answer: C
Step-by-step explanation:
f(x) = 3x^2 + 6x - 5
g(x) = 4x^3 – 5x^2 + 6
Find (f +g) (c)
Answers
Answer:
b
Step-by-step explanation:
The value of the function (f +g) (x) will be (f +g) (x) = 4x³ – 2x² + 6x + 1. Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The functions are given below.
f(x) = 3x² + 6x – 5
g(x) = 4x³ – 5x² + 6
Then the value of the function (f +g) (x) will be
(f +g) (x) = f(x) + g(x)
(f +g) (x) = 3x² + 6x – 5 + 4x³ – 5x² + 6
(f +g) (x) = 4x³ – 2x² + 6x + 1
The value of the function (f +g) (x) will be (f +g) (x) = 4x³ – 2x² + 6x + 1. Then the correct option is B.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
2x - 2 = 3x - x - 2 solve for x
Answers
Answer:
i think x=0
Step-by-step explanation:
2x-2=2x-2
2x=2x
x=0
Answer:
NAN
Step-by-step explanation:
x + 2 = 3x - x^2 Simplifying x + 2 = 3x + -1x2 Reorder the terms: 2 + x = 3x + -1x2 Solving 2 + x = 3x + -1x2 Solving for variable 'x'. Combine like terms: x + -3x = -2x 2 + -2x + x2 = 3x + -1x2 + -3x + x2 Reorder the terms: 2 + -2x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 2 + -2x + x2 = 0 + -1x2 + x2 2 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + x2 = 0 + -2 -2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + x2 = -2 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -2 + 1 Reorder the terms: 1 + -2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2x + x2 = -1 Factor a perfect square on the left side: (x + -1)(x + -1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
plz help me i need it done
Answers
Answer:
Final answers are ,
• 9
•-7
• 7
• -85
Step-by-step explanation:
Given that when we input a number then first it will be multiplied by 2 and finally decreased by(-1) .
Input 5 :-
• Firstly Multiplying it by 2 → 2× 5 = 10
• Subtracting 1 from it → 10 - 1 = 9
Output = 9
====================================
Input (-3) :-
• Firstly Multiplying it by 2 → 2× -3 = -6
• Subtracting 1 from it → -6- 1 = (-7)
Output = (-7)
====================================
Input 4 :-
• Firstly Multiplying it by 2 → 2× 4 = 8
• Subtracting 1 from it → 8 - 1 = 7
Output = 7
====================================
Input (-42) :-
• Firstly Multiplying it by 2 → 2× -42 = -84
• Subtracting 1 from it → -84 - 1 = -85
Output = (-85)
====================================
People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted inteviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures on a life-satisfaction scale for a sample of n = 9 elderly people who completed the interview. Assume that the population average score on this scale is μ = 20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with α = .05. The life-satisfaction scores for the sample are 18, 23, 24, 44, 19, 27, 23, 26, 25.
Answers
Answer:
we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
Step-by-step explanation:
Population mean μ₀ = 20
Sample data 18 23 24 44 19 27 23 26 25
Then:
Sample mean μ = 25,44
Sample standard deviation s = 7,14
Sample size n = 9
Hypoyhesis test:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ > μ₀
Significance level α = 0,05 CI = 95 %
We must develop a t-student one-tail test ( to the right ) as follows
t(c) = ??
degree of freedom df = n - 1 df = 8 and α = 0,05
Then from t-student table t(c) = 1, 8595
To calculate t(s) = ( μ - μ₀ ) / s/√n
t(s) = ( 25,44 - 20 ) * √9 / 7,14
t(s) = 5,44*3 / 7,14
t(s) = 2,29
Comparing t(c) and t(s)
t(s) > t(c)
Then t(s) is in the rejection region we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
Three robots ran the same distance. The first robot ran 150 meters per minute.
The second robot ran 150 meters per minute faster than the first robot and 120
meters per minute faster than the third robot. The winner finished 2 minutes
before the robot that finished in second place. What distance (in meters) did the
robots run?
Answers
Answer:
900 meters.
Step-by-step explanation:
Trust me. Russian School Of Math answer :)
Can someone please help me do 1-10? I have trouble understanding this so if you can explain the answer that would be amazing!
Thanks!
Answers
A field is a rectangle with a perimeter of 1060 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field
The width of the rectangular field is
Answers
Answer:
W: 65 ft.
L: 465ft.
Step-by-step explanation:
65+65+465+465=1060
800 + 2w + 2w = 1060
800 + 4w = 1060
4w=260
w=65
The width is 65 ft
Please help me with this question
Answers
Answer:
1. 3 x 2 = 6 / 4 x 3 = 12 = 6/12 [simplify] = 1/2 thats the first answer, just do how i did it to get the others, its pretty simple
Classify the shape as precisely as possible based on its markings.
A) Rhombus
B) Parallelogram
C) Quadrilateral
D) Rectangle
Answers
Answer:
C??...
Step-by-step explanation:
Answer: I put b. Parallelogram
Step-by-step explanation:
Find z if the standard normal curve area between – z and z is 0.4530.
Answers
Answer:
Step-by-step explanation:
Hi,
1) Find z if the standard normal curve area between -z and z is 0.4530.
Y1 = normalcdf(-x,x,0,1) - .4530 and x = .60226
a. ± 0.118
b. ± 0.398
c. ± 0.602 <==ANSWER
d. ± 0.752
2) If a random variable has the normal distribution with μ = 104.3 and σ = 5.7, find the probability that the value will be greater than 112.3
normalcdf(112.3, 500, 104.3, 5.7) = .08023
a. 0.08 <==ANSWER
b. 0.09
c. 0.10
d. 0.11
3) Determine a 90% confidence interval for μ if σ = 5, \bar{x} = 70, and n = 82. Answer interval rounded to two decimal places.
70 ± 1.645 (5/√82) or 69.09 to 70.91 <==ANSWER
I hope that helps!! :-)
First try was incorrect
Ethan sells balloons at the fair. He sells 1810 balloons in 10 hours on
Tuesday and 1086 balloons in 6 hours on Saturday.
What is the constant of proportionality that relates the total number of
balloons sold, y, to the number of hours selling balloons, x?
label optional
x f(x) VX X
X
✓
(x) < > T
Answers
Answer: 6.55
Step-by-step explanation:
a package of nine pens cost 3.60 how much is one pen
Answers
Answer:
Step-by-step explanation:
40 cents
Answer:
40 cents.
Step-by-step explanation:
If you take 3.6 and divide it by nine, you get 0.4. To check, if you multiply 0.4 times 9, you get 3.6. Hope this helps :)
Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?
Answers
Answer:
12
Step-by-step explanation:
I will give you a good amount of points if you answer this correct
Answers
Answer:
I think the answer is B. The equation has infinitely many solutions.
Step-by-step explanation:
4(3x + 4) = 15x + 12 - 3x + 4
*group like terms so 4(3x+4) = 15x - 3x + 12 + 4
*add similar elements 15x - 3x = 12x
*add the numbers 12 + 4 = 16
*Expand to 12x + 16 - 16 = 12x + 16 - 16
*You simplify 12x = 12x
*Subtract 12x from both sides
*Then Simplify which is 0
Which means Both sides are equal to 0
True for all X
Help ASAP please. I’ll give you brainliest
Answers
Answer:
x= -83.4
830÷50= 16.6
17 coaches would be needed
£5,850
Answer:
x=1660
the value of 830÷50 is 16.6
it will take 5850 to hire 13 coaches
