10(x + 4)
Step-by-step explanation:
Simplify :
[12(x + 3) - 4] - 2(x - 1) + 6
= [12x + 36 - 4] - 2x + 2 + 6
= 12x - 2x + 36 - 4 + 2 + 6
= 10x + 32 + 8
= 10x + 40
= 10(x + 4)
The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3
people already on the elevator with a combined weight of 428 pounds, write an inequality to express
the possible weights that may be added to the elevator,
Part A: Define your variable
Part B: Write the inequality
Part C: Describe what your inequality looks like on a number line. Be sure to include whether the
circle is open or closed and the direction the line is shaded.
Answer:
Step-by-step explanation:
Maximum capacity of the elevator = 2000 pounds
Combined weight of the elevator = 428 pounds
A). Let the possible weights that can be added to the elevator = w pounds
B). Therefore, inequality representing this situation will be,
428 + w < 2000
C). By solving the given inequality,
(428 + w) - 428 < 2000 - 428
w < 1572 pounds
Now we draw this inequality on a number line.
Please help quick! I’ll give brainluilyst just please help me
Find the measurement of the angle indicated for each trapezoid
Answer:
45
Step-by-step explanation:
Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work part time and 80 employees who work 5 days each week. What is the probability that a randomly selected employee works both part time and 5 days each week?
Answer: 0.02
Step-by-step explanation:
OpenStudy (judygreeneyes):
Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is
P(A U B) = P(A) +P(B) - P(A and B).
The problem has given us each of these pieces except the intersection, so we can solve for it,
If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.
I hope this helps you.
Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8
Answer:
The probability that a randomly selected employee works both part time and 5 days each week is 0.02
Step-by-step explanation:
What is probability?
Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.
The total employees =100
Let A= Employees who work part time = 14
and B = Employees who work 5 days each week = 80
Then, A∪B= 92
We have to find, P(A∩B)
P(A∪B)=P(A)+P(B)-P(A∩B)
[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)
0.92=0.14+0.8-P(A∩B)
0.92=0.94-P(A∩B)
P(A∩B)=0.02
Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.
To know more about probability here
https://brainly.com/question/23044118
# SPJ2
I'll give you brainiest if you help me.
Answer:
88 degrees.
Step-by-step explanation:
Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)
A 68 kg deer has a momentum of 952 kg-m/s. What is its velocity?
Answer:
14 m/s
Step-by-step explanation:
which equation represents that relationship ??
Answer:
A
Step-by-step explanation:
A proportional relationship either increases or decreases its points at the same rate. In the first set of ordered pairs, the x values all increase by 3 while the y values all increase by 6, which is twice the value of the x values' increasing. The second set of ordered pairs is not proportional because all pairs' x values increase by 2 while the y values increase by 8 until ordered pair (5, 20), so this set therefore is non-proportional. y = x + 3 is the correct equation because it represents that the y value is always 3 greater than the x value. All the shown ordered pairs for set 1 supports this (3 - 0 = 3, 6 - 3 = 3, 9 - 6 = 3, 12 - 9 = 3).
If you can help me I would be very thankful!
Answer:
4x + 2.5y = 184
x = y - 6
Step-by-step explanation:
Let the number of smoothies sold by stand = x
And number of cones sold = y
If the selling price of each cone = $2.5
Selling price of the 'y' cones = $2.5y
Selling price of each smoothies = $4
Then sales of smoothies = $4x
If the total sales of one day = $184
Equation for this situation will be,
4x + 2.5y = 184 -------(1)
If the stand sold 6 less smoothies than the cones,
x = y - 6 -----(2)
Therefore, system of equations contains two equations (1) and (2).
need help no bots those guys r so annoying
Answer:
AC = 16
KL = 5.625
Source(s):
Dude trust me
brainliest tho??
Step-by-step explanation:
5/KL = 12/13.5
12KL = 67.5
KL = 5.625
AC/18 = 12/13.5
13.5AC = 216
AC = 16
Find the slope of a line parallel to each given line.
helpppppppppppppp pleaseeeeeee
Answer:
C
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
FYI
It would take 150 minutes to fill a swimming pool using the water from 5 taps.
A) how many minutes will it take to fill the pool if only 3 of the taps are used? ______ minutes
B) an assumption being made in my working is that all the taps are flowing the same__ ___
Answer: points for points
Step-by-step explanation:
Hi t sure what to do?
Find the length of side x in simplest radical form with a rational denominator.
45
X
45
V8
Answer:
relationship between perpendicular and hypotenuse is given by sin angle
sin45=p/h
sin45=√8/x
1/√2=√8/x
x=2√2×√2=2×2=4
x=4
In a quiz , team A scored 2 ,4 , -2 , 0 , -2 team B scored -4 ,2 , 2 ,-2 ,4 in successive5 rounds
.Which team scored more and by how much?
Please help
Answer:
a. 2 b. 2
Step-by-step explanation:
Please help math experts thank you
Answer:
.33333 or rounded .33
Step-by-step explanation:
There are 4 months that end in an r
This means that 1 third of the months end in r or .33
Can somebody plz help me out:)))
Answer:28 possibly? I know that you connect it with the angles use across from the angle I hope I helped a little
Step-by-step explanation:
Answer:
Sin 30°
= 0.5 appromaxit
Tom has a 15 pounds bag of cat food. If he feeds his cat 1/4 pound
of food each day. How many days will the 15 pound bag of
cat food last? Show your thinking.
Answer:
it will take his cat 60 days to finish the entire bag
Step-by-step explanation:
which shows the solution in the inequality? -2x > 18
A. x >9
B. x<-9
C. x>-9
D.x<9
HELP PLEASE
Answer: x<-9
Step-by-step explanation:
-2x>18
-2x/(-2)<18/(-2)
x< -9
The value of the solution in the inequality is,
⇒ x < - 9
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
The inequality is,
⇒ - 2x > 18
Now, We can simplify as;
⇒ - 2x > 18
⇒ - x > 18/2
⇒ - x > 9
⇒ x < - 9
Thus, The value of the solution in the inequality is,
⇒ x < - 9
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ2
What is 57.9709 divided by 3.456072
Answer: 16.77363782
Step-by-step explanation:
Solve for x ax-bx/x+c = d, if a =/b+d
Answer:
dc/a-b-d
Step-by-step explanation:
ax – bx = d
x + c
Multiply both sides by x + c
ax – bx
(x + c) = d(x + c)
x + c
Simplify
ax – bx
(x+c): ax – bx
x + c
ax – bx = d(x+c)
Expand d(x+c): dx + cd
ax — bx = dx + cd
Subtract dx from both sides
ax – bx – dx = dx + cd – dx
Simplify
ax – bx – dx = cd
Factor ax – bx – dx: x(a – b – d)
x(a - b- d) = cd
Divide both sides by a – b – d; a + b + d
x(a – b - d) cd
a + b + d
a - b - d
a – b-d
Simplify
X =dc/a-b-d
The value of 'x' in the algebraic equation is [tex]\rm x= \frac{dc}{a-b-d} \\[/tex] where [tex]\rm a\neq b+d[/tex]
It is given that the algebraic equation [tex]\rm \frac{ax-bx}{x+c}= d[/tex]
It is required to solve the algebraic (polynomial) equation if [tex]\rm a\neq b+d[/tex]
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have an algebraic equation:
[tex]\rm \frac{ax-bx}{x+c}= d[/tex]
[tex]\rm \frac{ax-bx}{x+c}= d\\\\\rm ax-bx=d(x+c)\\\rm ax-bx=dx+dc\\\rm ax-bx-dx=dc\\\rm (a-b-d)x=dc\\\\\rm x= \frac{dc}{a-b-d} \\[/tex]
Thus, the value of 'x' in the algebraic equation is [tex]\rm x= \frac{dc}{a-b-d} \\[/tex] where [tex]\rm a\neq b+d[/tex]
Learn more about Polynomial here:
brainly.com/question/17822016
3 times a number is 4 less than the square of that number. Find the negative solution.
The hot tub is shaped like a rectangular prism. It is 7 feet long, 3 1/4 feet deep, and has a volume of 159 1/4 cubic feet. What is the width of the hot tub?
Answer:
w = 7 feet
Step-by-step explanation:
Volume of a rectangle prism = length × width × height
Length = 7 feet
Width = ?
Height = 3 1/4 feet
Volume = 159 1/4 cubic feet
Volume of a rectangle prism = length × width × height
159 1/4 = 7 × w × 3 1/4
637/4 = 7 × w × 13/4
637/4 = 7 × 13/4 × w
637/4 = 91/4w
w = 637/4 ÷ 91/4
= 637/4 × 4/91
= 637*4 / 4*91
= 2548 / 364
w = 7 feet
(PLEASE HELP)
Which of the following would NOT work to make a triangle with the two slide lengths of 2 and 6
A.6
B.5
C.7
D.4
Given:
The two sides of a triangle are 2 and 6.
To find:
The side length that would NOT work to make a triangle with the two slide lengths of 2 and 6.
Solution:
For a triangle, the sum of two smaller sides must be greater than the largest side.
Let x be the third side.
Case 1: x is the largest side, then
[tex]2+6>x[/tex]
[tex]8>x[/tex] ...(i)
Case 2: x is not the largest side, then
[tex]2+x>6[/tex]
[tex]x>6-2[/tex]
[tex]x>4[/tex] ...(ii)
From (i) and (ii), we get
[tex]4<x<8[/tex]
Here, 4 and 8 are not included.
6, 5, 7 are included in the above interval, but 4 is not included in the above interval. It means 4 would NOT work to make a triangle with the two slide lengths of 2 and 6.
Therefore, the correct option is D.
60 PTSA grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week, 26 boxes of the cereal were sold. In the 2nd week, 58 boxes of the cereal were sold and in the 3rd week 90 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence.
Show all work!
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 9th week.
Answer:
aₙ = 31n - 5
Step-by-step explanation:
The terms of your sequence are.
26, 57, 88, …
This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.
The explicit formula for the nth term of an arithmetic sequence is
aₙ = a₁ + d(n - 1 )
a₁ is the first term, and d is the difference in value between consecutive terms. Thus,
aₙ = 26 + 31(n - 1) = 26 + 31n - 31
aₙ = 31n - 5
The explicit rule for the arithmetic sequence is aₙ = 31n - 5.
helppp helping my sister
B. Find the perimeter of the garden when the width is
8 feet.
Answer:
10 - 16
Step-by-step explanation:
Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve. 6x^2-x-2=0
Given:
The quadratic equation is:
[tex]6x^2-x-2=0[/tex]
To find:
The nature of the solutions by using the discriminant.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then its discriminant is:
[tex]D=b^2-4ac[/tex]
If D<0, then both roots are complex.
If D=0, then both roots are real and equal.
If D>0, then both roots are real and distinct.
We have,
[tex]6x^2-x-2=0[/tex]
Here, [tex]a=6,b=-1,c=-2[/tex]. So, the value of the discriminant is:
[tex]D=(-1)^2-4(6)(-2)[/tex]
[tex]D=1+48[/tex]
[tex]D=49[/tex]
Since [tex]D>0[/tex], then both roots are real and distinct.
Hence, the discriminant of the given quadratic equation is 49 and both roots are real and distinct.
Guys pls help
4) If f(-x)=-f(x) for all x, f is an
function.
Odd Function
Even Function
Neither
Answer:
Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f brainliest ?
PLZ HELP!! I RLY NEED IT!! Josie selected 6 books from thr library. However, he can only check out 4 books at a time. How many possible selections can he make?
Answer:
4 selections
Step-by-step explanation:
We are told in the question that:
Josie selected 6 books from the library. However, he can only check out 4 books at a time.
The number of possible selections can he make is 4 selections. This is because, He can only take 4 books out of the library at a time. This is the standard.
HeLp Me !!!!!!!!!!!!!!!!!!!
Answer:45.1%
Step-by-step explanation: