Given parameters:
Number of pencils = [tex]4\frac{1}{2}[/tex] pencils
Time taken = [tex]3\frac{1}{3}[/tex] minutes
Unknown:
Number of pencils produced in 1 minute;
Solution:
To solve this problem, let us first find the rate of the machine;
Rate of machine = [tex]\frac{number of pencils }{time taken}[/tex]
Rate of machine = [tex]\frac{\frac{9}{2} }{\frac{10}{3} }[/tex] = [tex]\frac{9}{2} x \frac{3}{10}[/tex] = [tex]\frac{27}{20}[/tex] pencils/minute
Now, number of pencils produces in 1 minute;
Number of pencils = rate of machine x time taken
Number of pencils = [tex]\frac{27}{20}[/tex] pencils/ min x 1 min
Number of pencils = [tex]\frac{27}{20}[/tex]pencils
The number of pencils produced in 1 minute is [tex]\frac{27}{20}[/tex]
Drag each label to the correct location on the table.
Match each equation with its number of unique solutions.
y = 3x^2- 6x + 3
y= -x^2 - 4x + 7
y = -2x^2 + 9x – 11
Answer:
1. 1 real solution
2. 2 real solutions
3. Two complex solutions
Step-by-step explanation:
y = 3x^2- 6x + 3
This has 1 real solutions.
y= -x^2 - 4x + 7
This has 2 real solutions.
y = -2x^2 + 9x – 11
This has 2 complex solutions.
The number of unique solutions each equation has is required.
[tex]y=3x^2-6x+3[/tex] has one real solution.
[tex]y=-x^2-4x+7[/tex] has two real solutions.
[tex]y=-2x^2+9x-11[/tex] has two complex solutions.
The number of solutions is determined by the value of the discriminant.
Let us find the determinant of each equation
[tex]y=3x^2-6x+3[/tex]
[tex]D=b^2-4ac\\\Rightarrow D=6^2-4\times 3\times 3\\\Rightarrow D=36-36\\\Rightarrow D=0[/tex]
The equation has one real solution.
[tex]y=-x^2-4x+7[/tex]
[tex]D=(-4)^2-4\times (-1)\times 7\\\Rightarrow D=16+28\\\Rightarrow D=44\\\Rightarrow D>0[/tex]
The equation has two real solutions.
[tex]y=-2x^2+9x-11[/tex]
[tex]D=9^2-4\times (-2)\times (-11)\\\Rightarrow D=81-88=-7\\\Rightarrow D<0[/tex]
The equation has two complex solutions.
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6.785 3 rounded to the nearest thousand
Answer:
6.8
Step-by-step explanation:
Answer:6.7850 also it's thousandth :)
Step-by-step explanation:
describe the normal distribution shape in your own words. feel free to use examples that are normal or irregular.
Answer: see below
Step-by-step explanation:
A normal distribution is shaped like a negative parabola → ∩
The midpoint of the parabola is the median and represents 50% of the data.
Therefore, there is equal distribution to the left and to the right of the 50% mark.
Answer:
Normal distributions are symmetric and the mean, medium, mode. The shape of used is a bell curve. We can also use normal distributions for the height, weight.
find the perimeter please i need help
Answer:48
Step-by-step explanation:add up all the sidees
Divide (x square root 3 +2 x square root 2 - 6x - 9) by (x + 3).
A) x square root 2 - x - 3
B) x square root 2 - x + 3
C x square root 2 + 2 square root x - 3
D) x square root 2 + 2 square root x - 2 square root x - 3
Step-by-step explanation:
divide them by using long polynomial division.
d
(8x +10) = (6x +3) °
Answer:
The answer would be
[tex]x=\frac{-7}{2}[/tex]
Answer:
-3.5
Step-by-step explanation:
-10×+8y=10 I cant figure it out , can someone help please.
What real number is 7/8
Answer:2 is the answer.
Step-by-step explanation:
The integers are the whole numbers, their opposites, and 0 . From the given numbers, −7 and 8 are integers.
Need help please thanks
Answer:
the values of angle;
a=61
b=61
c=29
Answer: All of the angles combined are 180 degrees. Since b and its adjacent angle is 90 degrees, you would subtract 90-29, which gives you 61. b=61. You would then use both angle measures to determine the other two. You would need to find two values that add up to 90 degrees for c and a. Angle b+c would be equal to 90 degrees, and angle a and d (I used d to represent the 29 degree angle) would be equal to 90 degrees, equaling a total of 180 degrees. Angle a would be equal to 61, and angle c would be equal to 29. Hope this helps.
PLEASE HELPP
What does it mean for angles to be supplementary and complementary?
Answer:
A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.
Step-by-step explanation:
hopes this helps
Answer:
Step-by-step explanation:
Supplementary is when all the angles add up to 180. Complementary is when all the angles add up to 90.
What is 378,618 rounded to the nearest thousand
Answer:
379,000
Step-by-step explanation:
6>5
Answer:
379000
Step-by-step explanation:
what is the answer pleas tell me
Answer:
i believe its B,C, and E
Step-by-step explanation:
please give the answer to this
Answer:
l;k
Step-by-step explanation:
qwdefr
Answer:
a= -7, b= 4
Step-by-step explanation:
Please see the attached picture for the full solution.
Fred’s art project involves a series of parallel stripes of uneven widths. If he starts by drawing the line 8x + 2y = 7, select all the equations that represent lines that could also be drawn.
Group of answer choices
y = −4x
16x + 4y = 9
4x + 2y = 3
y = −4x + 15
y − 1 = 4(x + 8)
Please I need help!! I will give Brainerly to whoever gets it right!
Answer:
Options 1 and 4 are the only other parallel lines
Step-by-step explanation:
Plug the equation into a graphing calculator and observe your results.
Answer:
The answers are y = −4x, 16x + 4y = 9, and y = −4x + 15
Step-by-step explanation:
y=-4x has the -4 as slope so it parallel
y = −4x + 15 also has the -4 as a slope so it parallel
16x + 4y = 9 u have to solve.
4y=-16x+9 First step is to subtract -16 both sides (which just tosses -16 to the other side where the 9 is.
y=-4x+2.25 Divide everything by 4
REMEMBER TO MARK ALL THREE TO GET FULL CREDIT
13x -2y -5x +8
1. How many terms are in the expression?
2. Which terms are “like terms”?
3. Are there any constants? If so, what are they?
4. What are the variables in the expression?
5. What are the coefficients in the expression?
Step-by-step explanation:
1. How many terms are in the expression?
The terms are sorted by looking at the sing/indicator in front of them. For this expression there are 4 terms
13x, -2y, -5x, and 8
2. Which terms are “like terms”?
13x and -5x are like terms.
3. Are there any constants? If so, what are they?
Yes there is a constant terms and it's 8
4. What are the variables in the expression?
The variables in this expression are x, and y
5. What are the coefficients in the expression?
Coefficients is the number in front of variables in this expression the coefficients are 13, -2, and -5
Answer:
there are 4 terms
13x and - 5x are like terms
+8 is the only constant term
yes there are variables
the coefficients are ,13,-2, and-5
Step-by-step explanation:
1. A term is any section of a equation that has to do with an operation such as multipulcation or subtraction.
2. like terms are terms that share a common variable with another term.
3. Constants are number in an equation that have no variable and don't change
4. variables are letters used in an equation
5. coeffecients are the number a next to variables make sure to take the negitave or positive sign in front of it to account when solving your problem. variables with out a number in front of them always have a coefficient of 1.
2. Ten football teams are playing in a league.
Each team played each of the other teams exactly
once. How many matches were played in the
league?
One-eight of class graduated with a A average, 1/2 got a B, and the rest of the class had a C average. In a class of 800, how many had C average?
Answer:
3/8
Step-by-step explanation:
1/8 got a A
1/2 got a B
1/2 is = to 4/8
4/8 + 1/8 = 5/8
1(8/8) - 5/8 = 3/8
A motorcycle travels 25 miles every 0.5 hour
Step-by-step explanation:
Per means division so this should be 25/0.5
I think you can do the problem by yourself now!
Hope this helps <3
How would I solve this question?
Answer:
Step-by-step explanation:
ok you have to find which one by
one i mean ( C or L ) DESCRIBES the best
( C ) that is library and u have to find out wut is ( L )
One week, Makayla earned $142.20 at her job when she worked for 6 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $829.50?
Answer:
I belive the number you are searching for is 35.
Step-by-step explanation:
Simply divide 142.20 by 6 to get the hourly wage(23.70). Divide 829.50 by the hourly wage to get the answer. (35)
In a chemical plant, 24 holding tanks are used for final product storage. Four tanks are selected at random and without replacement. Suppose that six of the tanks contain material in which the viscosity exceeds the customer requirements.
a. What is the probability that exactly one tank in the sample contains high-viscosity material?
b. What is the probability that at least one tank in the sample contains high-viscosity material?
c. In addition to the six tanks with high viscosity levels, four different tanks contain material with high impurities. What is the probability that exactly one tank in the sample contains high-viscosity material and exactly one tank in the sample contains material with high impurities?
Answer:
a) P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) = 0,7120 or 71,2 %
c) P(C) = 0,2055 or P(C) = 20,55 %
Step-by-step explanation:
We will use two concepts in solving this problem.
1.- The probability of an event (A) is for definition:
P(A) = Number of favorable events/ Total number of events FE/TE
2.- If A and B are complementary events ( the sum of them is equal to 1) then:
P(A) = 1 - P(B)
a) The total number of events is:
C ( 24,4) = 24! / 4! ( 24 - 4 )! ⇒ C ( 24,4) = 24! / 4! * 20!
C ( 24,4) = 24*23*22*21*20! / 4! * 20!
C ( 24,4) = 24*23*22*21/4*3*2
C ( 24,4) = 24*23*22*21/4*3*2 ⇒ C ( 24,4) = 10626
TE = 10626
Splitting the group of tanks in two 6 with h-v and 24-6 (18) without h-v
we get that total number of favorable events is the product of:
FE = 6* C ( 18, 3) = 6 * 18! / 3!*15! = 18*17*16*15!/15!
FE = 4896
Then P(A) ( 1 tank in the sample contains h-v material is:
P(A) = 4896/10626
P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) will be the probability of at least 1 tank contains h-v
P(B) = 1 - P ( no one tank with h-v)
Again Total number of events is 10626
The total number of favorable events for the ocurrence of P is C (18,4)
FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!
FE = 18*17*16*15/4*3*2 = 3060
Then P = 3060/10626
P = 0,2879
And the probability we are looking for is
P(B) = 1 - 0,2879
P(B) = 0,7120 or 71,2 %
c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i
having 4 with t-i tanks is:
reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:
FE = 6*4* C(14,2) = 24 * 14!/12!*2!
FE = 24* 14*13*12! / 12!*2
FE = 24*14*13/2 ⇒ FE = 2184
And again as the TE = 10626
P(C) = 2184/ 10626
P(C) = 0,2055 or P(C) = 20,55 %
Karen used a birthday check her mother gave her to start a savings account. She plans to save $25 per
month as well. After 8 months, Karen has $250. Write and solve a linear equation to find the original check
amount from Karen's mother.
Answer:
Explanation:
Lets just say the amount her mom gave her is c
and the months is a
the equation would be
c + 25a = 250
we can plug in 8 for a, cause we know its been 8 months,
c + 25(8)= 250
then do the parentheses
c + 200 = 250
subtract the 200 to isolate the variable c
c = 50
then you get c = 50,
Karen's mom gave her a check for $50.
(why karen btw. i would never give $50 to a karen)
The linear equation to calculate the amount from Karen's mother is
A + 25x = 250
where A is the amount and x is the number of months
The amount from Karen's mother is $ 50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount given to Karen by her mother be = A
Let the total number of months be = x
The value of x is = 8 months
The total amount Karen has after 8 months = $ 250
The amount Karen saves per month = $ 25
Now , the equation will be
Total amount Karen has after 8 months = amount given to Karen by her mother + ( amount Karen saves per month x total number of months )
Substituting the values in the equation , we get
250 = A + 25x
On simplifying the equation , we get
A + 25x = 250
when x = 8
A + 25 ( 8 ) = 250
A + 200 = 250
Subtracting 200 on both sides of the equation , we get
A = $ 50
Therefore , the value of A is $ 50
Hence , The linear equation to calculate the amount from Karen's mother is A + 25x = 250
where A is the amount and x is the number of months
The amount from Karen's mother is $ 50
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what is y + 1=x in slope intercept form?
Answer:
y = x - 1
Step-by-step explanation:
slope intercept form is y = mx+b. (mx - slope, b - y-intercept)
You just subtract 1 from both sides, giving you y = x - 1
Find the mean
-21,-34,-37,-52,-56
Help me please this is due in 5 minutes
?
Which expression is equivalent to 9x5 +3x(4x4–3x2)
Answer:
[tex]30x^2+45x[/tex]
Step-by-step explanation:
The answer is
[tex]48^{9} - 72x^{7} +36x^{5}[/tex]
The point A has coordinates (-1, 6) and the point B has coordinates (7, 2).
i Find the equation of the perpendicular bisector of AB, giving your answer in the form y = mx + c.
ii A point C on the perpendicular bisector has coordinates (p, q). The distance OC is 2 units, where O is
the origin. Write down two equations involving p and q and hence find the coordinates of the possible
positions of C.
Answer:
a) y = 2x -2
b) Equation: q = 2p - 2 ----(1)
p² + q² = 4 ----(2)
The coordinates of C may be (0, -2) or (6/5, 8/5)
Step-by-step explanation:
a) Step 1: Find the coordinates of midpoint, P of AB
x-co-ordinate of P = (x₁ + x₂)/2 = (-1 + 7)/2 = 3
y- co-ordinate of P = (y₁ + y₂)/2 = (6 + 2)/2 = 4
Step 2: Determine the gradient, m₂ of perpendicular bisector of AB
For perpendicular lines, m₁ * m₂ = -1 where m₁ is slope of AB
m₁ = (2 - 6)/(7 - -1) = -4/8 = -1/2
-1/2 * m₂ = -1
m₂ = 2
Step 3: Deriving the equation of the perpendicular bisector in the form y = mx + c
y - y₁ = m(x - x₁); substituting the values of the midpoints of the line
y - 4 = 2(x - 3)
y - 4 = 2x - 6
y = 2x -2
b) Step 1: Derive the values of the p and using the formula of distance between two points:
y = 2x - 2
therefore q = 2p - 2 ----(1)
OC = √(x₂ -x₁)² + (y₂ - y₁)²
2 = √(p - 0)² + ( q - 0)²
2 = √p² + q²
squaring both sides
p² + q² = 4 ----(2)
Substituting (1) in (2)
p² + (2p - 2)² = 4
p² + 4p² - 8p + 4 = 4
5p² - 8p = 0
p(5p - 8) = 0
Therefore p = 0 or 5p - 8 = 0
p = 0 or p = 8/5
Substituting p = 0 in (1)
q = -2
substituting p = 8/5 in (1)
q = 2(8/5) - 2
q = 16/5 - 2
q = 6/5
Hence the coordinates of C may be (0, -2) or (6/5, 8/5)
What is the solution to x 3 + x 2 ≤ 10x – 8?
Answer:
Solution: x ⩾ \frac{8}{5}
Step-by-step explanation:
x 3 + x 2 ≤ 10x – 8
Reorder the terms
3x + 2x ≤ 10x - 8
Collect like terms
5x ≤ 10x - 8
Move the variable to the left
5x -10x ≤ -8
Collect like terms
-5x ≤ - 8
Divide both sides
x ⩾ \frac{8}{5}
Answer:
D
Step-by-step explanation:
Find the next terms in the following sequences.
1.) -4, -3, -2, -1, ___, ___, ____, _____
Answer:
0,1,2,3............
ALGEBRA Evaluate the expression if x = –8, y = 7, and z = –11.
x – 7
Answer:
-15
Step-by-step explanation:
x= -8 (-8)-7= -15
Dee Dee bought an apple for $0.85, a sandwich for $4.50. How much did Dee Dee spend?
Answer:
$5.35
Step-by-step explanation:
.85+4.50= 5.35
Answer:
5.35$
Step-by-step explanation:
add 4.50+0.85
