Answer:
To get an overall profit of $100,000, then 3,571 items is needed to be produced
Step-by-step explanation:
Mathematically;
Profit = Revenue - Production cost
In the question, we are told that the profit we are expecting is $100,000
Let the number of items to be produced for sales be x items
Now let’s look at the production cost ;
The production cost will be number of items for sale * production cost = 15 * x = $15x
Now, we need to add the start-up cost to the production cost to get the total amount spent on production;
Mathematically the total amount would be = $25,000 + $15x
Let’s look at the revenue;
The revenue will be selling price of each item * price of each item;
Mathematically, that would be 50 * x = $50x
So therefore;
50x - (25,000 + 15x) = 100,000
50x -25,000 -15x = 100,000
35x = 100,000 + 25,000
35x = 125,000
x = 125,000/35 = 3571.42 which is approximately 3,571 items
Write the standard form of the equation y-3=-2/3(x+5)
Answer:
In linear standard form, 10x-15y=29
Step-by-step explanation:
The solution is y = ( -2/3 )x - 1/3
The standard form of the equation y-3=-2/3(x+5) is given by the equation A
where y = ( -2/3 )x - 1/3
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
So , the standard form of the equation of line is given by equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Now ,
y - 3 = -2 / 3 ( x + 5 )
Multiply by 3 on both sides of the equation , we get
3y - 9 = -2 ( x + 5 )
On simplifying the equation , we get
3y - 9 = -2x - 10
Adding 9 on both sides of the equation , we get
3y = -2x - 1
Divide by 3 on both sides of the equation , we get
y = ( -2/3 )x - 1/3
The equation of line is y = ( -2/3 )x - 1/3 where the slope of the line is -2/3 and the y intercept of line is -1/3
Hence , The standard form of the equation y-3=-2/3(x+5) is given by the equation A where y = ( -2/3 )x - 1/3
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Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. NEEED HELP PLZ :(
A 15x = 1.39
B 15 + x = 1.39
C 1.39x = 15
D 1.39 + x = 15
Answer: C. 1.39x=15
Step-by-step explanation:
each song is worth 1.39 dollars
If there are x songs, the total value would be 1.39x
1.39x=15
Jim brought a pizza and decided to share it with four of his friends his portion was twice as much as any of the others who each received a piece that was the same size. what fraction of the pizza did Jim have
Answer:
Jim had 1/3 of of the pizza
Step-by-step explanation:
He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6
2/6 simplify if, 1/3.
Please help! I'm very behind on work and just don't have the time to catch up without costing the grade of another class. Thank you so much!
Answer:
5. alternate exterior, p
6. consecutive interior, r
7. consecutive exterior, s
8. alternate interior, q
9. corresponding, s
Step-by-step explanation:
please help me I will mark brainliest to first to help
x/20=2/8
x=__
pls explain the steps
Answer:
Today: Thursday, 15 October 2020
Hour: 04.09 WIB (in Indonesian)
____________________________
x/20 = 2/8
20 × 2 = 8 × x
40 = 8x
x = 40/8
x = 5
During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?
Answer:
45.83 over 1 (45.83/1)
Step-by-step explanation:
29.17% sleeping
25% studying
29.17 + 25 = 54.17
100 - 54.17 = 45.83%
convert decimal to a fraction:
45.83 = 45.83 over 1 (45.83/1)
Answer:
[tex]\frac{45.83}{1}[/tex]
Step-by-step explanation:
45.83/1 is your answer!!!!
can i get brainliest plzzz?
Watch help video
William read 15 books in 6 months. What was his rate of reading in months per book?
Answer:
2.5 months
Step-by-step explanation:
hope is right and i help :)
twice a number increased by five
20ab
if a = 4 and b = -2)
what is the next number on the sequence 6,13,20,27?
Answer:
34
Step-by-step explanation: goes up in 7's
Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?
Answer:
It will take 88.2 months to accumulate the amount
Step-by-step explanation:
Given;
Future value of money, FV = $25,000
investment per compound period, P = $200
interest rate, i = 0.75% x 12 = 9%
The number of monthly installments required to amount to FV is given by;
[tex]n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months[/tex]
Therefore, it will take 88.2 months to accumulate the amount.
The side with intermediate length is:
1. OD
2. DE
3 EO
Answer:
I don't know exactly, I think it is EO, but I could be wrong.
Step-by-step explanation:
The side with intermediate length is OE .
What is the relationship between length of side of triangle and their interior angle ?Relationship of sides to interior angles in a triangle
In any triangle:
The shortest side is always opposite the smallest interior angleThe longest side is always opposite the largest interior angleAccording to the question
Side opposite to smallest ∠20° = OD
Side opposite to largest ∠110° = DE
Side opposite to intermediate ∠50° = OE
Now,
according to the relationship between length of side of triangle and their interior angle
The smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle.
Therefore,
OD = smallest side
DE = Largest side
OE = intermediate side
Hence, The side with intermediate length is OE .
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PLEASE HELP. DUE IN 9 MINS ❤️
Three times the sum of a number and 16 is 8 less than four times that same number. Write an
solve an equation to find the number.
Answer:
3(x+16)= 4x-8
x=56
Step-by-step explanation:
3(x+16)= 4x-8
use distributive property
3x+48=4x-8
add 8 to each side
3x+56=4x
subtract 3x from 4x
56=x
check work
3(56+16)=4(56)-8
distributive property again
168+48= 224-8
add the left side
216=224-8
subtract the right side
216=216
tada
please help me, ASAP
Answer:
The answer is A
Step-by-step explanation:
All of the other relations shows have duplicate numbers of x. For example, relation B has two 3s and D has two 20s. If a relation has a duplicate x, it is not a function.
HeoeiejJSJJSJSJSKSKWKWKW
Answer:
0.27 or B (✿◠‿◠)
There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many students in the club are boys
Answer:
14 are boys
Step-by-step explanation:
5 goes into 35 7 times, so you would multiply 7 x 2 and get 14
Answer: 14 boys
Step-by-step explanation:
Factor the expression completely.
18 x − 21 18x−21
Answer:
3( 6x-7)
Step-by-step explanation:
18 x − 21
Factor a 3 out of each term
3*6x - 3*7
3( 6x-7)
Answer:
Factor 18x−21
18x−21
=3(6x−7)
Answer:
3(6x−7)
Step-by-step explanation:
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
It is 7 throughout the line.
It is fraction 1 over 7 throughout the line.
The slope from point O to point A is fraction 1 over 7 times the slope of the line from point A to point B.
The slope from point O to point A is seven times the slope of the line from point A to point B.
True:
3rd One
4th One
False: All of the others.
It's a straight line, so it is going to have straight qualities and straight inequalities throughout the graph.
About how many galllons of grape juice are shown in the picture?
Answer:
About 3.9 gallons
Step-by-step explanation:
There are about 14.8 liters of juice in the bottle, and converting it to gallons is about 3.9 gallons. Hope it helps!
Answer:
3.8 gallons of grape juice is shown
car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
plzzzzzzzzzzzzzzzzz help mee
Answer:
There's no numbers on this graph. it you can tell me where it is, ill gladly update my answer. Other than that, I know exactly what they are saying, I just need numbers.
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
PLEASE HELP
Answer:
Step-by-step explanation:
Solve for x : x/14-4=3
Answer:
98
Step-by-step explanation:
3+4 then times 14
help urgent!!!!!!!!!!!
Answer:
negative 7
Step-by-step explanation:
peter, henry and john shared $345 between them. Peter received $45, henry received $75 and john received the rest.
a) find the ratio of peters share to henrys share to johns share
Answer:
Step-by-step explanation:
Let J = John's share ($)
P = Peter's share ($)
H = Henry's share ($)
1) H = P + 80
2) J/P = 6/3 = 2
3) P/H = 3/5
Substitute equation 1) into equation 3)
P/(P + 80) = 3/5 (multiply both sides by (P + 80)
P = (3/5)*(P + 80) (multiply both sides by 5)
5*P = 3*P + 240
2*P = 240
P = 240/2 = $120
Substitute P value into equation 2)
J/P = 2 or
J = 2*P = 2*$120 = $240
John received $240
A walli can be built by 6 men working for 8 hours per day in 5 days. How many days will it take 4 men to build if they work only 5 hours per day.
(show your working)
Answer:
A wall can be built by 6 men working 8*5*6=240 hours.
If 4 men works 5 hours a day, they work 20 hours/day.
It will take them 240 hours /20 hours = 12 days
how do I find the answer to 47+ (7 + 6) × 3
Answer:
86
Step-by-step explanation:
1) 7+6= 13 2) 13×3 = 39 3) 47+39= 86
write an equation given a slope of 1/2 that goes through the ordered pair (2,4)
Answer:
y= 1/2x +3
Step-by-step explanation:
HELP QUICK ILL GIVE THE BRAINLIEST!
Find three consecutive even integers for which -4 times the sum of the first and third integers is 192. Write and solve an equation.
Answer:
192x-4= -768
Step-by-step explanation:
2x+y=-5 slope intercept form please
Answer:
y=-2x+5
Step-by-step explanation:
Answer: y= -2x - 5
Step-by-step explanation:
2x + y = - 5 To convert it into slope-intercept form subtract 2x from both sides
-2x -2x
y= -2x - 5