Answer:
11x-2
Step-by-step explanation:
(3x2 - 4x + 6) + (7x - 2) This is the breakdown. (6 4x + 6)= 4x. + (7x-2) = 11x-2
An immigration agent sampled cars going from country M to country N. In his report, he indicated that of the 85 cars sampled, 27 cars were driven by women, 53 cars were driven by citizens of country M, 41 cars had two or more passengers, 23 cars were driven by women who are citizens of country M, 22 cars were driven by women and had two or more passengers, 18 cars were driven by citizens of country M and had two or more passengers, and 13 cars were driven by women who are citizens of country M and had two or more passengers. After his supervisor reads the report, she explains to the agent that he made a mistake. Explain how his supervisor knew that the agent's report contained an error.
Answer:
the numbers of women drivers are inconsistent
Step-by-step explanation:
Let W, C, P stand for the conditions that the drivers were women, the drivers were citizens, and the car had passengers, respectively.
We are told the number of WCP cars is 13, the number of WC cars is 23, and the number of WP cars is 22. The total of WC and WP cars counts WCP cars twice, so the total of cars in these three categories combined is ...
WC +WP -WCP = 23 +22 -13 = 32
This number (32) is more than the total number of cars with women driving (27), so there is obviously a mistake.
Find m∠TUL.
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
A) 18°
B) 20°
C) 22°
D) 24°
Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV= m∠TUL+ m∠LUV
now plug in the angles for each
m∠TUV= m∠TUL+ m∠LUV
[tex]167= x+11 +11x[/tex]
solve the equation for x
[tex]167= x+11 +11x\\167=11 +12x[/tex]
Subtract 11 from both sides
[tex]156=12x[/tex]
divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)° = (24)°
answer:
24°
Assume y varies directly as x.
If y = 7 when x = 3, find x when y = 21.
Answer:
X=9
Solution is in the picture above.
Your round trip drive to school is 3 7/10 miles.how many miles do you drive to and from school in 5 days?
Answer:
18 1/2 miles
Step-by-step explanation:
3 7/10 * 5
Change to an improper fraction
(10* 3 + 7)/10 * 5
37/10 *5
Rewriting
37 * 5/10
37/2
Changing back to an mixed number
2 goes into 37 18 times with 1 left over
18 1/2
Use the distributive property to factor out y.
5y-3y+ 12
The new expression becomes
By+12
© -2y+12
2y+12.
14y
Answer:
[tex] 5y -3y +12[/tex]
If we see the first two terms contains the variable y (5y and 3y), so we can take this as common factor and we got:
[tex] y (5-3) +12[/tex]
And solving the 5-3 we got:
[tex] 2y +12[/tex]
So then the best answer would be:
2y+12.
Step-by-step explanation:
We have the following expression:
[tex] 5y -3y +12[/tex]
If we see the first two terms contains the variable y (5y and 3y), so we can take this as common factor and we got:
[tex] y (5-3) +12[/tex]
And solving the 5-3 we got:
[tex] 2y +12[/tex]
So then the best answer would be:
2y+12.
Sporting Equipment, Inc. makes two types of balls: Soccer balls and Cork balls. The making of each soccer ball and cork ball requires 3 hours and 4 hours of production time, respectively. For the next month, the total production hours of 500 are available. Also, the combined production quantity for these two balls must be at least 150 units. The objective for this linear programming model is to fulfil the given production requirements at a minimum cost. The production cost for each Soccer ball is S7 and each Cork ball is $9.
1. Formulate the problem, using the following decision variables:
S = number of Soccer balls manufactured
C = number of Cork balls manufactured
2. The objective function is:
A. Maximize 9S + 7C
B. Minimize 7S + 9C
C. Minimize 9S + 7C
D. Maximize 7S + 9C
3. The constraint equation for the production hours is:
A. 3S + 4C >= 500
B. 4S + 3C <= 500
C. 4S + 3C <= 500
D. 3S + 4C <= 500
4. The constraint equation for the combined production quantity is:
A. S + C <= 150
B. S + C >= 150
C. S + C = 150
D. S + C =/150
5. If the company produces 100 soccer balls and 50 cork balls, the cost of production is:
a. $1250 b. $1350 c. $1150 d. $2000
Answer:
2) B). Minimize 7S + 9C
3) D) . 3S + 4C ≤ 500
4) B). S + C ≥ 150
5) C) $1150
Step-by-step explanation:
The company makes two types of balls, the balls and their costs are written below:
Soccer ball, S = $7
Cork ball, C = $9
Production time of each ball:
Soccer ball = 3 hours
Cork balls = 4 hours
2) To find the objective function.
Since the cost of each soccer ball is $7 and S balls are produced, the total cost of soccer balls is 7S.
Similarly, the cost of each cork ball is $9 and C balls are produced, total cost is 9C.
The objective function maximize profits and minimizes losses. Here, the objective for this linear programming model is to fulfil the given production requirements at a minimum cost.
Therefore the objective function here is: Minimize 7S+9C
3)The constraint equation for the production hours.
To produce one soccer ball, 3 hours are needed, i.e 3S, to produce one Cork ball 4 hours are needed, i.e 4C.
Since we are given a maximum productin time of 500 hours, the constraint equation for the production hours would be:
3S + 4C ≤ 500
4) Since we are told the combined production quantity for these two balls must be at least 150 units, the constraint equation for the combined production quantity is:
S + C ≥ 150
5)Since each soccer ball costs $7, 100 soccer balls would cost:
7*100 = $700
Similarly, since each Cork ball costs $9, 50 cork balls would cost:
9*50 = $450
Therefore the total cost of production would be:
$700 + $450 = $1,150
Note: Question number 1 isn't a question, it's an expression.
Sean practices soccer for 1/2 hour every morning before school and 1 1/4 hours after school.How long does he practice in 5 days?
Practice done Before school = for 1/2 hour
Practice done after school = for 1¼ hour = 5/4 hour
Total Practice done = for 1/2 hour + 5/4 hour = 2+5/4 hours = 7/4 hours .
Practice done in 5 days = for 7×5/4 hours = 35/4 hours = 8¾ hours
Answer:
Sean practices 8 hours and 45 minutes.
Step-by-step explanation:
1/2 x 5=2.5= 2 hours and 30 minutes
1 1/4=5/4 x 5= 6.25= 6 hours and 15 minutes
2 hours and 30 minutes + 6 hours and 15 minutes= 8 hours and 45 minutes.
Sean practices 8 hours and 45 minutes.
In Hocking County, the population is 28,547 people of which 11,504 are obese. What percentage of Hocking County residents are obese? Round percentage to one decimal place.
Answer:
hi there
40.3
Step-by-step explanation:
28547=100%
11504=R
11504 x 100=1150400/28504
1150400/28504=40.29 = 40.3
11504/28547 = 0.40x 100 = 40 %
Which could be the first step in solving the equation represented by the model below? 3 x tiles and 4 positive 1 tiles = 2 x tiles and 6 positive 1 tiles Add 4 negative unit tiles to both sides. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side. Add 4 positive unit tiles to both sides. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Answer:
A
Step-by-step explanation:
Bigbrain ;3
Answer:
the right answer is A
Step-by-step explanation:
have a great day and hope you pass
6 times what would = 73
Answer:
12.1 repeating
Step-by-step explanation:
73/6=12.16666666...
What is the circumferance of a sphere
Answer:
Circumference of a sphere = 6.2857 (R)
Step-by-step explanation:
Circumference of a sphere is approximately 2[tex]\pi[/tex] times of the given radius.
Assume:
Radius of the sphere (r) = R
Find:
Circumference of a sphere = ?
Computation:
⇒ Circumference of a sphere = 2[tex]\pi[/tex]r
⇒ Circumference of a sphere = 2 × [tex]\frac{22}{7}[/tex] × R
⇒ Circumference of a sphere = 2 × 3.1428 × R
⇒ Circumference of a sphere = 6.2857 (R)
What is the volume of the right triangular prism in cubic meters? Round to the nearest cubic meter
26.9 m
23 m
11 m
14 m
This question is incomplete because it lacks the diagram of the right triangular prism. Find attached to this answer, the diagram
Answer:
1771m³ or 1771 cubic meters
Step-by-step explanation:
Formula for the volume of Right triangular prism =
1/2 × base × height × Length
From the attached diagram,
We can see that the
Height of the prism = 23m
Base of the prism = 14m
Width or length of the prism = 11m
Volume = 1/2 × 14m × 23m × 11m
Volume of the right triangular prism = 1771m³ or 1771 cubic meters
Enter numbers in the blanks to complete the sentences.
Answer:
For The First Line the answer is 0
For the second line the answer is 0,0
Step-by-step explanation:
I put the picture :)
Enter numbers in the blanks to complete the sentences.
For equations in the form y=kx, if x=0, then y= 0
So the point, 0 then the other box is 0 must be on the graph of every equation in the form y=kx.
I got this correct if this doesn't help I also put the picture that I got it correct :)
Which statement is true?
A. 5x and 5 are like terms.
B. 5 and x are like terms.
C. 5x and x are like terms.
D. 5x and 5y are like terms.
Answer:
C. 5x and x are like terms.
Step-by-step explanation:
Like terms have the same degree of the variable
5x and x are like terms because both have x to the power 1
Answer:
C. 5x and x are like terms.
Step-by-step explanation:
All variables are all " x "
Coopers & Lybrand surveyed 210 chief executives of fast-growing small companies. Only 51% of these executives had a management succession plan in place. A spokesperson for Cooper & Lybrand said that many companies do not worry about management succession unless it is an immediate problem. However, the unexpected exit of a corporate leader can disrupt and unfocus a company for long enough to cause it to lose its momentum. Use the data given to compute a 92% confidence interval to estimate the proportion of all fast-growing small companies that have a management succession plan.
Answer:
92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.
(0.46154 , 0.558)
Step-by-step explanation:
Given sample size 'n' = 210
The sample proportion 'p' = 51% = 0.51
Confidence intervals are determined by
[tex](p^{-} - z_{\alpha } \sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} +Z_{\alpha } \sqrt{\frac{p^{-} (1-p^{-} )}{n } } )[/tex]
The 92% of z-score value
[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.08}{2} } = Z_{0.04} = 1.405[/tex]
92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.
[tex](0.51 - 1.405 \sqrt{\frac{0.51 (1-0.51 }{210} } , 0.51 +1.405 \sqrt{\frac{0.51 (1-0.51)}{210 } } )[/tex]
on calculation , we get
(0.51-0.048 , 0.51 + 0.048)
(0.46154 , 0.558)
Final answer:-
92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.
(0.46154 , 0.558)
Caitlin ran 1,680 feet on monday and 2,340 feet on Tuesday how many yards did she run in those two days
Answer:
4020
Step-by-step explanation:
A bag contains 6 green chips, 8 red chips, and 3 blue chips. If you draw two chips without replacement, what is the probability that both chips are the same color?
Answer:
2/17
Step-by-step explanation:
you add up all the chips and then the two chips =2
6+8+3=17
so 2/17
What is the average?
3 4 5 8
Answer: 5
Step-by-step explanation:
3+4+5+8 = 20/4 = 5
The following are the ages (years) of 5 people in a room: 25, 18, 17, 13, 24 A person enters the room. The mean age of the 6 people is now 22. What is the age of the person who entered the room?
Answer:
See Below:
Step-by-step explanation:
Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.
22= (25+18+17+13+24+x)/6
Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.
22 = (25+18+17+13+24+x)/6 Multiply both sides by 6
132= 97+ x Subtract 97 from both sides.
35 = x
The person who just entered the room is 35 years old.
Find the distance between the points (-5,1) and (-2,-5)
Answer:
d= 3√5
Step-by-step explanation:
Can someone please tell me what the mathematical shape of the certain photo I have attached.
Thanks
Jake
Answer:
Square based pyramid
Step-by-step explanation:
Answer:
The given figure is a square based pyramid
Seaside Bike Shop rents bikes for $10 plus $4 per hour. Jack paid $30 to rent a bike. Which equation, when solved for x, gives the number of hours he rented the bike?
You don’t list the options but you need to multiply the hourly rate by the number of hours (x) and add that to the few to find the total so the equation would be:
Total = 4x +10
You are told the total was $30 so you can solve for x:
30 =3x + 10
Subtract 10 from both sides:
20 = 4x
Divide both sides by 4:
X = 5 hours
Suppose that the function f(x)=2x + 6 Represents the number of cars to drive by an ex minutes how many cars will drive by in 4 minutes
Answer:
14
Step-by-step explanation:
Put 4 where x is in the function and do the arithmetic.
f(4) = 2(4) +6 = 8+6 = 14
14 cars will drive by in 4 minutes.
Express sin A, cos A, and tan A as ratios.
Answer: B.
Step-by-step explanation: SIN = Opposite/Hypotenuse COS = Adjacent/Hypotenuse, and TAN = Opposite/Adjacent or SIN/COS.
What is the value of 7 in number 3,407,215
Answer:
7=7000
Step-by-step explanation:
To determine what the digit 7 means in 3,407,215, if we put 3,407,215 into the place value chart, we can see that the 7 appears in the units column of the thousands period.
So the digit 7 in this number means 7 thousands.
Image below.
r = the number of racks
s = the number of shoes
Which of the variables is independent and which is dependent?
Answer:
number of shoes is independent, number of racks is dependent
Step-by-step explanation:
the number of racks does not affect the number of shoes but if there are a lot of shoes, the number of racks will increase.
Maria, an experienced shipping clerk, can fill a certain order in 9 hours. Jim, a new clerk, needs 11 hours to do the same job. Working together, how long will it take them to fill the order
Answer:
4 19/20 hours or 4 hours , 57 minutes
Step-by-step explanation:
Given
In 9 hours Maria can fill a certain order let Say X
In 9/9 hours Maria can fill X/9 of the order
in 1 hour Maria can fill X/9 of the order
__________________________________
In 11 hours Jim can fill a certain order let Say X
In 11/11 hours Maria can fill X/11 of the order
in 1 hour Maria can fill X/11 of the order
_____________________________________________
Therefore total order filled by them in one hour will sum of individual work done by them in one hour.
Mathematically,
total order filled by Jim and maria in one hour = work done by Jim in one + work done by Maria in one hour
total order filled by Jim and maria in one hour = 1/11 + 1/9
=> [tex]1/11 + 1/9 \\=> (9 + 11)/11*9\\=> 20/99[/tex]
=>20/99 of certain order is filled by both of them in one hour.
=>Total order is one. Hence, to get 1 from 20/99 we need to multiply it with its reciprocal (i.e 99/20) as 20/99 *99/20 = 1
now
=>20/99 of certain order is filled by both of them in 1 hour.
=>multiplying both order and hour with 99/20 we have
20/99 *99/20 of certain order is filled by both of them in 1* 99/20 hour
Thus total order is filled by them in 99/20 hours = 4 19/20 hours.
1 hour has 60 minutes
so 19/20 has 60*19/20 minutes = 57 minutes.
Working together, Jim and Maria will take 4 hours , 57 minutes to fill the order.
3y + 2 = 11 what does the y equal
Answer:
3
Step-by-step explanation:
first subtract 2 from 11, which is 9
then u have 3y=9
then u do 9 divided by 3, which is 3
and that's ur final answer
Answer:
3y + 2 = 11
=> 3y = 11 - 2
=> 3y = 9
=> y = 9/3
=> y = 3
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
Normally, x would be the domain and y would be the range.
According to the table, range of y consists of (4, 2, 5) or ranges of (2, 4, 5)
=> Option D is correct.
Hope this helps!
:)
What’s the correct answer for this?
Step-by-step explanation:
Midpoint => M (Mx, My)
Mx = (Ax + Bx)÷2
My = (Ay + By)÷2
Mx = [(-6) + 2] ÷ 2 = -2
My = [(-3) + 7] ÷ 2 = 2
M (-2, 2)