Answer:
[tex]\quad \frac{25x+2}{3}-21[/tex]
Step-by-step explanation:
[tex]3(2x-7)+ 1/ 3 (7x+2)\\\\\mathrm{Expand}\:3\left(2x-7\right):\quad 6x-21\\=6x-21+\frac{1}{3}\left(7x+2\right)\\\\\mathrm{Expand}\:\frac{1}{3}\left(7x+2\right):\quad 7\times\frac{1}{3}x+2\times \frac{1}{3}\\\\=6x-21+7\times\frac{1}{3}x+2\times\frac{1}{3}\\\\\mathrm{Simplify}\:6x-21+7\times\frac{1}{3}x+2\times\frac{1}{3}:\\\\\quad \frac{25x+2}{3}-21[/tex]
Step-by-step explanation:
Hey there!
Given;
= 3(2x-7) + 1/3(7x+2)
Let's simplify them.
[tex] = 3(2x - 7) + \frac{1}{3} (7x + 2)[/tex]
[tex] = 6x - 21 + \frac{7x + 2}{3} [/tex]
[tex] = \frac{3(6x - 21) + 7x + 2}{3} [/tex]
[tex] = \frac{18x - 63 + 7x + 2}{3} [/tex]
[tex] = \frac{25x - 61}{3} [/tex]
Therefore the answer is (25x-61)/3.
Hope it helps...
Your answer
b. To find 36 x 19, I find 36 times 20 and remove 1 group of 36. *
Your answer
Answer:
684
Step-by-step explanation:
36
x19
let calculator do the rest and then ur done
4.6 + 1.2x = 68.2 -1.8x I need help please and Thank you so much!
Answer:
x = 21.2
Step-by-step explanation:
Mark me Brainliest?
7. A lifeguard received 16 hours of first aid training and 8 hours of
cardiopulmonary resuscitation (CPR) training. Write the ratio of hours of
CPR training to hours of first aid training.
a. 8:16
b. 16: 8
Answer:
A
Step-by-step explanation:
8 hours were spent in CPR training and 16 hours were spent in first aid training so the ratio of hours of CPR to hours of first aid training is 8: 16.
helppp !! what is the domain of the function shown in the table?
х
2
4
6
8
y
3
4
5
6
A. {2, 3, 4, 5, 6, 8}
B. {3, 4, 5, 6}
C. (2,3), (4,4),(6,5), (8, 6)
D. {2, 4, 6, 8}
Answer:
D is the correct answer i think
Step-by-step explanation:
Domain of the function is option (D) {2, 4, 6, 8}
What is Domain?The domain of a function is the set of inputs accepted by the function.
What is Function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
From the given table,
Domain of the function is {2, 4, 6, 8}
Because the domain of a function is the set of inputs accepted by the function.
Hence, Domain of the function is option (D) {2, 4, 6, 8}
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In a class 26 of students, 12 play an instrument and 19 play a sport. There are 2 students who do not play an instrument or a sport. What is the probability that a student plays an instrument given that they play a sport?
help !!!! I will mark as brainliest 20 points !!!! solve both of question !!!
pls show work !!! thanks
Answer:
a). k ≥ -1
b). k < 5
c). k ≤ 2
d). k > -3
Step-by-step explanation:
a). k ≥ - 3 + 2
k ≥ -1
b). 3k < 16 - 1
3k < 15
k < 5
c). -4k ≥ -5 - 3
4k ≤ 8
k ≤ 2
d). 3k > -10 + 1
3k > -9
k > -3
Answer:
solution is on the picture attached
Hope this helps
x and y together represent what?
Answer:
xy
Step-by-step explanation:
or like a graph, I think you need more. or they represent the x axis and the y axis
(PowerToys) PowerToys Inc. produces a small remote-controlled toy truck on a conveyor belt with nine stations. Each station has, under the current process layout, one worker assigned to it. Stations and processing times are summarized in the following table: a. What is the bottleneck in this process? b. What is the capacity, in toy trucks per hour, of the assembly line? c. What is the direct labor cost for the toy truck with the current process if each worker receives $15 /hour, expressed in dollars per toy truck? d. What would be the direct labor cost for the toy truck if work would be organized in a work cell, that is, one worker performs all tasks? Assume that the processing times would remain unchanged (i.e., there are no specialization gains). e. What is the utilization of the worker in station 2 ? Because of a drastically reduced forecast, the plant management has decided to cut staffing from nine to six workers per shift. Assume that (i) the nine tasks in the preceding table cannot be divided; (ii) the nine tasks are assigned to the six workers in the most efficient way possible; and (iii) if one worker is in charge of two tasks, the tasks have to be adjacent (i.e., one worker cannot work on tasks 1 and 3 ). f. How would you assign the nine tasks to the six workers? g. What is the new capacity of the line (in toy trucks per hour)?
The bottleneck in the process is Station 5, with a processing time of 8 minutes. The capacity of the assembly line is approximately 1.76 toy trucks per hour.
a. The bottleneck in this process is the station with the longest processing time. In this case, Station 5 has the longest processing time of 8 minutes. The bottleneck is the station that limits the overall capacity of the assembly line because it takes the longest time to complete its task.
b. To calculate the capacity of the assembly line, we need to determine the cycle time, which is the time it takes for one complete cycle of the assembly line. The cycle time is equal to the sum of the processing times at each station. In this case:
Cycle time = 1 + 2 + 3 + 4 + 8 + 6 + 5 + 3 + 2 = 34 minutes
To calculate the capacity in toy trucks per hour, we need to convert the cycle time from minutes to hours:
Capacity = 60 minutes / 34 minutes = 1.76 toy trucks per hour
c. The direct labor cost for the toy truck with the current process can be calculated by multiplying the number of workers assigned to each station by their hourly wage, and then dividing it by the number of toy trucks produced per hour. Since there is one worker per station and each worker receives $15 per hour, the direct labor cost per toy truck can be calculated as follows:
Direct labor cost = (Number of workers × Hourly wage) / Capacity
= (9 workers × $15/hour) / 1.76 toy trucks per hour
≈ $80.68 per toy truck
d. If the work were organized in a work cell, with one worker performing all tasks, the direct labor cost would remain the same. Each worker would still receive $15 per hour, regardless of the number of tasks they perform. There would be no specialization gains in this scenario, so the direct labor cost per toy truck would still be approximately $80.68.
e. To determine the utilization of the worker in station 2, we need to compare the processing time at that station to the cycle time of the assembly line. The processing time at station 2 is 2 minutes, and the cycle time is calculated as 34 minutes (as mentioned in point b).
Utilization = Processing time at station 2 / Cycle time
= 2 minutes / 34 minutes
≈ 0.059 or 5.9%
This means that the worker in station 2 is only utilized for about 5.9% of the cycle time, indicating that they spend most of their time waiting for the other stations to complete their tasks.
f. With the reduced staffing from nine to six workers per shift, the tasks should be assigned to the six workers in the most efficient way possible. One possible assignment could be as follows:
Worker 1: Stations 1 and 2
Worker 2: Stations 3 and 4
Worker 3: Stations 5 and 6
Worker 4: Stations 7 and 8
Worker 5: Station 9
Worker 6: No assigned task (idle)
g. To calculate the new capacity of the line with six workers, we need to determine the total processing time for the new assignment. The total processing time would be the sum of the processing times at each station assigned to a worker:
Total processing time = 1 + 2 + 6 + 5 + 3 + 2 = 19 minutes
The new capacity of the line would be the reciprocal of the total processing time:
Capacity = 60 minutes / 19 minutes = 3.16 toy trucks per hour
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Please Help!! Brainliest Answer! Thank you
Answer:
A. 4.59Step-by-step explanation:
tanФ = opp / adj.
where Ф = 74, opp = 16, adj. = x
find: x
just plugin the values into the formula
tanФ = opp / adj.
tan(74) = 16/ x
x = 16
tan(74)
x = 4.59
Solve the equation 4a – (6 – 5a) + 12 = 3a + 2(2a – 4) for a.
Could you help me?
There are no options for this answer. It must be solved
Answer:
a = -7
Step-by-step explanation:
4a – (6 – 5a) + 12 = 3a + 2(2a – 4)
Given: F(x) = 2x and G(x) = x^2+ 2
Find F/G(-1).
2/3
-2/3
-2
Answer:
second option
Step-by-step explanation:
F (-1) = 2 (-1)
= -2
G (-1) = (-1)^2 + 2
= 1 + 2
= 3
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b + 2 c + 3 j b+2c+3jb, plus, 2, c, plus, 3, j where b bb is the number of hours Ben spends chopping, c cc is the number of hours Cam spends chopping, and j jj is the number of hours Justin spends chopping.
Consider the complete question is "Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j, where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?"
Given:
Total number of trees chopped by them = [tex]b+2c+3j[/tex]
b = number of hours Ben spends chopping = 8
c = number of hours Cam spends chopping = 3
j = number of hours Justin spends chopping = 4
To find:
The numerical value of total number of trees chopped by them.
Solution:
Total number of trees chopped by them = [tex]b+2c+3j[/tex]
Put [tex]b=8, c=3[/tex] and [tex]j=4[/tex] in the given expression.
[tex]Total=8+2(3)+3(4)[/tex]
[tex]Total=8+6+12[/tex]
[tex]Total=26[/tex]
Therefore, total number of trees chopped by them is 26.
Ax + 5 = 2(3 + 2x)
X=
Answer:
Ax+5=2*3+2*2x
Ax+5-6-4x=0
x(A-4)-1=0
x=1/(A-4)
what is a equation of the line that passes through the point (-4,-6) and is parallel to the line 3x-y=6
Answer:
[tex]y=3x+6[/tex]
Step-by-step explanation:
When solving these types of problems you need to know how to write a line that is parallel to another line. Parallel lines have the same SLOPE but different y-intercepts. But in order to do this, we need to convert this equation to slope-intercept form: y=mx+b.
First, we want to get -y by itself therefore we want to subtract 3x on both sides to get [tex]-y=-3x+6[/tex]. We then want to isolate y by dividing by -1 on each side to get the new equation [tex]y=3x-6[/tex]. We can then use this equation to make a line that is parallel.
Utilizing the slope from the original equation (3) and using the same format for slope-intercept, we get [tex]y=3x+b[/tex]. Our line goes through a certain point therefore our x and y values are given so that our equation looks like [tex]-6=3(-4)+b[/tex]. We now simplify to get [tex]-6=-12+b[/tex] and add 12 on both sides to get b by itself [tex]b=6[/tex].
Lastly, we have all our values and now just need the equation for the line which leaves us with [tex]y=3x+6[/tex].
If you don't understand something or need more help, feel free to ask.
need to know now!!! giving 10 points what -6+8
Answer:
the answer is 2...................
Step-by-step explanation:
-6+8=2
Answer:
-6+8= 2 draw a line then write at the center 0 to the left write negative integers to your write positive integers-6 +8 move 8 steps forward from-6 and you will be at 2 that's the answer
Edward purchased his home for $89,000. For the first three years after
lively, so his property value grew by 4.8% every year. For the next five y
his property value grew by 2.6% every year. How much had the value of
the nearest hundred dollars?
a.$25,700
b. $27.500
$30,000
d. $13,200
Answer:
B. $25,700
Step-by-step explanation:
(sorry it took me so long to answer it was kinda hard)
1. If AC=27 and BC = 9, then AB = ?
One hundred less than a twice a number is five
Answer:
52.5
Step-by-step explanation:
52.5 times 2 is 105 and 100 less than this is 5.
It can also be set out in the equation 2x-100=5
Write an expression that represents the perimeter of the triangle?
Answer:
(3m - 2) + (5m - 2) + (2m + 7)
Step-by-step explanation:
When you add all the sides together, you get the perimeter.
The expression of the perimeter of the triangle is 10m + 3.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The three sides of the triangle are:
2m + 7
3m - 2
5m - 2
Now,
The perimeter of the triangle.
= Sum of all the sides
= 2m + 7 + 3m - 2 + 5m - 2
= 10m + 7 - 4
= 10m + 3
Thus,
The perimeter of the triangle is 10m + 3.
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Devin wants to buy some t-shirts from a store in the mall. He has $20 in his pocket and the t-shirts cost $5 each. The situation can be modeled by the function F(t) = 5t, where F(t) represents the total cost of t t-shirts. State a reasonable domain and range for this situation.
Answer:20-5t+=
Step-by-step explanation:
Three packages of egg noodles cost $6. 72. How much does each package cost? $2. 24 $2. 37 $2. 22 $2. 38
The cost of each package of egg noodles is $2.24. The answer is option A.
To find the cost of each package of egg noodles, you need to divide the total cost by the number of packages. In this case, there are three packages and the total cost is $6.72. Therefore, we need to divide $6.72 by 3 to find the cost of each package of egg noodles. Now, let us solve the problem step by step.Step 1: Identify the given valuesTotal cost of three packages of egg noodles = $6.72Step 2: Identify what you are looking for Cost of each package of egg noodlesStep 3: Set up the equationLet x be the cost of each package of egg noodles. Since there are three packages of egg noodles and their total cost is $6.72, we can write:3x = $6.72Step 4: Solve the equation Divide both sides of the equation by 3:x = $6.72 ÷ 3x = $2.24Step 5: Check your answernTo check your answer, substitute $2.24 for x in the original equation:3($2.24) = $6.72The left side simplifies to $6.72, which is equal to the right side. Therefore, $2.24 our answer is correct.
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Start by graphing either y= x
1
or y= x 2
1
and modify that function to create the graphs of other algebraic functions with the following properties:
one vertical asymptote (no horizontal asymptote)
one horizontal and two vertical asymptotes
one horizontal asymptote (no vertical asymptote). Ensure that the entire function 2c is in the positive halfplane.
For each of the three graphed functions, list its equation, domain, range, and asym
1. There are no asymptotes for this function.
2. Vertical asymptote at x = 0, no horizontal asymptote
3. Vertical asymptotes at x = 2 and no horizontal asymptote
4. Horizontal asymptote at y = 0, no vertical asymptote
Let's start by graphing the function y = x^2.
Graph of the function y = x^2:
Equation: y = x^2
Domain: All real numbers (-∞, ∞)
Range: All non-negative real numbers [0, ∞)
Asymptotes: There are no asymptotes for this function.
Modifying the function to create a graph with one vertical asymptote (no horizontal asymptote):
Equation: y = 1/x
Domain: All real numbers except x = 0 (-∞, 0) U (0, ∞)
Range: All real numbers except y = 0 (-∞, 0) U (0, ∞)
Asymptotes: Vertical asymptote at x = 0, no horizontal asymptote
Modifying the function to create a graph with one horizontal and two vertical asymptotes:
Equation: y = 1/(x - 2)
Domain: All real numbers except x = 2 (-∞, 2) U (2, ∞)
Range: All real numbers (-∞, ∞)
Asymptotes: Vertical asymptotes at x = 2 and no horizontal asymptote
Modifying the function to create a graph with one horizontal asymptote (no vertical asymptote):
Equation: y = 2/(x + 1)
Domain: All real numbers except x = -1 (-∞, -1) U (-1, ∞)
Range: All real numbers (-∞, ∞)
Asymptotes: Horizontal asymptote at y = 0, no vertical asymptote
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A restaurant went though 3 boxes of plastic forks over 6 months. They used ___ of a box every month.
Answer:
1/2
Step-by-step explanation:
You could formalize your answer by setting up a proportion.
3 boxes /6 months = x / 1 month
Cross multiply
3 boxes * 1 month = 6 months * x
the months cancel out.
Divide by 6
x = 3 boxes / 6
x = 1/2
In a bag there are 14 blue marbles, 20 red marbles, 4 green marbles, and 12 yellow marbles, what is the probability of drawing a yellow marble?
Answer:a good chance of getting a yellow marble
Step-by-step explanation:
PLS HELP DUE RN Fill in the blanks with the following correct terms
Answer:
11. Coefficient
12. Monomial (Since only two terms are there)
13. Binomial (Since only one term is there)
14. Variable
15. Trinomial (Since only three terms are there)
16. Constant
Hope this helped! If not, please let me know! <3
why mathematics is neccessary for students?explain
Allison can sew three scarves in 75 minutes. How many scarves can she sew in four hours?
Answer:
2.4
Step-by-step explanation:
75/3=25.
So she can do 1 scarf in 25mins
60/25=2.4
she can do 2.4 scarfs in one hour
Answer:
9.6 or 9 whole scarves
Step-by-step explanation:
You have to change the 4 hours into 240 minutes.
You can set it up as a proportion.
[tex]\frac{3}{75}[/tex] and [tex]\frac{x}{240}[/tex]
Then you need to set it up as:
75 x = 240 · 3
Then you get:
75 x = 720
Now you set it up as:
x = 720 ÷ 75
When you divide you get 9.6.
So, X = 9.6.
Allison can sew 9 whole scarves in four hours. The answer could also be 9.6 scarves. Not sure which one you need.
PLEASE ANSWER ASAP!!!! HELP DESPERATELY NEEDED!!!
Answer:
it's wrong because he put a closed circle on the nine when he was supposed to put an open circle because nine is not less than itself but the thing that he did right wad that he went to the left if it was a greater than or equal symbol then it would be correct
Happy :) have a good day lol
Step-by-step explanation:
A teacher buys pizza for her class. There are 5 pizzas, each with 8 slices. If she has 25 students, how many slices of pizza does each student get?
Group of answer choices
I need help ASAP !!!plz
Answer:
80 degree angle
Step-by-step explanation:
Answer:
80 degrees
because its lower than a 90 :))
