Let's use the point-slope formula to write the equation of this line.
The point-slope formula is y - y₁ = m(x - x₁).
In the formula, x₁ and y₁ are points and the m is our slope
Now let's substitute.
y + 2 = -3/2(x - 6).
Notice that I put y + 2 above since y - (-2) means y + 2.
Now distribute the -3/2 through the parentheses.
This gives us -3/2x + 9.
Bring down your y + 2 and we have y + 2 = -3/2x + 9.
To put this in standard form, we need to multiply both
sides by 2 because we can't have any fractions.
This gives us 2y + 4 = -3x + 18.
Now move the +4 to the right by subtracting
4 from each side to get 2y = -3x + 14.
Now move your x term to the right by adding 3x to both sides.
So our final answer reads 3x + 2y = 14.
The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 65% mild cheddar and 35% extra sharp, and the Zesty blend contains 75% mild cheddar and 25% extra sharp. This year, a local dairy cooperative offered to provide up to 8100 pounds of mild cheddar cheese for $1.30 per pound and up to 3500 pounds of extra sharp cheddar cheese for $1.50 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.30 per container. If each container of Regular is sold for $1.80 and each container of Zesty is sold for $2.10, how many containers of Regular and Zesty should New England Cheese produce
Answer:
They would produce 14,400 packages of zetsy and the regular profit making would be $11,340.
Step-by-step explanation:
12-ounce
regular = 65%
mild = 35%
extra sharp zesty blend = 75%
extra sharp mild = 25%
8,100 mild for = $1.30
3,500 extra sharp = $1.50
cost blend and package = $0.30
regular sold = $1.8
zesty = $2.10
first we calculate the cost of each product
conversion Of ounces to pounds:
1 pound = 16 ounces
regular cost:
12/16 pounds x 65% mild x $1.30
= 0.63375
12/16 pounds x 35% sharp x $1.50
= 0.39375
+ blend and package $0.30
total = $1.3275
contribution: $1.8 – $1.3275
= $0,4725
zesty cost:
12/16 pounds x 75% mild x $1.30
= 0.73125
12/16 pounds x 25% sharp x $1.50
= 0.28125
+ blend and package 0.30
total $1,3125
contribution: $2.10 – $1.3125
= $0,7875
to maximize profit:
profit = $0.4725Regular + $0.7875zetzy
adding the constraint:
mild = Regular x $0.4775 + Zetzy x $0.5625 = 8,100
and
sharp = Regular x $0.2625 + Zetzy x $0.1875 = 3,100
contribution generated by each product/pound:
Regular Zesty
CM $ 0.47250 $ 0.47250
Constrain resource
( pounds of mild) 0.48750 0.56250
CM per constrain $ 0.9692 $ 1.4000
Constrain resource
( pounds of sharp) 0.26250 0.18750
CM per constrain $ 1.80 $ 4.20
As zesty is better we produce as much as we can:
8,100 pounts / 0.5625 per cheese spreads: 14,400
check for possibilities of other constraint:
14,400 zesty packages x 0.1875 pounds each = 2,700 pounds
because it’s possible we only produce zetsy
profit = $0.4725 (0) + $0.7875 (14,400)
profit = $ 11,340
Pete has 5 marbles . Jay has a number of marbles that is two more than 5 . How many marbles does jay have?
Answer:
The answer is 7
Step-by-step explanation:
Answer:
7 marbles
Step-by-step explanation:
You would put five first because that's how much marbles pete had and for jay you just add a 2.
5+2=7
Hope this helps:)
Answers:
A. x=8
B. x= square root of 20
C. x=4
D. x= square root of 34
Answer:
C - x=4
Step-by-step explanation:
The formula is a^2+b^2=c^2
An art teacher has 70 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each student get? Write the answer as a mixed number.
Answer:
Step-by-step explanation:
which two integers is the irrational number √77 between
Answer:
send me your disc ill help
Step-by-step explanation:
A population has mean and standard deviation . Find and for samples of size . Round your answers to one decimal place if needed.
Answer:
μx = 17
σx = 2.2
Step-by-step explanation:
See attachment for full question.
Given:
μ = 17
σ = 22
[tex]n = 100\σ = 22[/tex]
Required
Determine (i) μx and (ii) σx
Solving (i): μx
The mean of a sample means is calculated as thus:
μx = μ
Hence:
μx = 17
Solving (ii): σx
σx = σ/√n
So, we have:
σx = 22/√100
σx = 22/10
σx = 2.2
explain the amplitude .....?? please as fast as u can
Answer:
Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.
Step-by-step explanation:
The map of a biking trail is drawn on a coordinate grid.
The trail starts at P(−3, 2) and goes to Q(1, 2).
It continues from Q to R(1, −1) and then to S(8, −1).
What is the total length (in units) of the biking trail?
A. 11
B. 13
C. 14
D. 16
Answer:
11 units
Step-by-step explanation:
-3-1 = -4 = 4
8-1=7
4+7 = 11
Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas compare? P A. P’s surface area is less than Q’s surface area. B. P’s surface area is equal to Q’s surface area. C. P’s surface area is greater than Q’s surface area. D. There is not enough information given to compare their surface areas.
Answer:
C is the correct answer
The number of pages that Allen, Kevin, Roneisha, and Ben can read in a day is shown below.
Allen read 15% of his 56-page book.
Kevin read 12% of his 64-page book.
Roneisha read 16% of his 42-page book.
Ben read 10% of his 72-page book.
Who can read the greatest number of pages in a day?
Kevin
Allen
Roneisha
Ben
Answer:
allen
Step-by-step explanation:
Solve for x: 3x − 24 = 81
fifty-seven over three
one hundred five over three
57
105
Answer: one hundred and five over three
Step-by-step explanation:
Answer: 57 i did the test
Step-by-step explanation:
Dwellings Elevation (m)
Robin's nest 2.6
Groundhog burrow -14
(a) Plot and label the elevation of each dwelling on a vertical number line.
(b) Calculate the vertical distance between Robin’s net and the Groundhog Burrow by subtracting
Step-by-step explanation:
The nest is at 2.6 m, and the dwelling is at -14 m. So the vertical distance is:
2.6 m − (-14 m) = 16.6 m
Lorena's baby brother is exactly 23 weeks old. How many hours old is Lorena's baby brother?
Answer:
3864
7*24=168
168*23=3864
Step-by-step explanation:
Based on the number of weeks that Lorena's baby brother has aged, in hours, the baby is 3,864 hours.
Lorena's baby brother is 23 weeks old.
First find out the number of hours in a week:
= Number of hours in day x number of days in week
= 24 x 7
= 168 hours
In 23 weeks, the baby brother would be:
= 168 x 23 weeks
= 3,864 hours
In conclusion, her brother is 3,864 hours old.
Find out more at https://brainly.com/question/11310630.
Kevin used 7/8 of a 5 gallon bucket of paint to paint four rectangular walls that are all the same area how much paint did Kevin use on each wall
Answer with step-by-step explanation:
First, we have to find out how much paint Kevin used. We can write the equation as the following; 5/1 × 7/8 = 4 3/8. Now, we divide 4 3/8 by 4 to calculate how much paint will be used for each wall. 4 3/8 ÷ 4 = 35/32. So to finalize, Kevin used 35/32 gallons to paint each wall.
Hope this helped! (brainliest please)
Answer:
1 3/32 gallons
Step-by-step explanation:
This is 35/32 simplified which 35/32 simplified is the real answer!
Hope this helped :)
Which statement describes a series of transformationsthat would show that figureA is congruent to figure B
Answer:d
Step-by-step explanation: d
Write a verbal expression for 73
Answer:
seventy-three
Step-by-step explanation:
(02.02)
Angle A measures 50 degrees. If angle A is rotated 45 degrees, what is the
measure of angle A'? (4 points)
95 degrees
50 degrees
O 45 degrees
180 degrees
PLS HELP
The amount of money earned on a job is directly proportional to the number of hours worked.If $36 is earned for 8 hours of work, how much is earned for 30 hours of work?
Answer:
$135
Step-by-step explanation:
first divide 36 by 8
gives you how much you earn for one hour
36/8=4.5
then multiply
4.5 by amount of hours worked
so 4.5*30=135
The amount of money earned on a job for 30 hours is $135.
The amount of money earned on a job is directly proportional to the number of hours worked.
The amount of money earned for 8 hours of work is $36.
We need to determine the amount earned for 30 hours of work.
Let us determine the amount earned per hour.
Thus,
[tex]\begin{aligned}8\;\rm{Hours \;of\;work}&=\$36\\1\;\rm{Hour \;of\;work}&=\$\dfrac{36}{8}\\&=\$4.5 \end{aligned}[/tex]
Therefore, the amount earned per hour is $4.5.
Now, multiply by 30 to get the amount earned for 30 hours.
Thus, the amount of money earned on a job for 30 hours is $135.
To know more about it, please refer to the link:
https://brainly.com/question/2146068
Identify the fraction that is equivalent to 3/8
A:15/32
B:12/32
C:12/24
D:9/32
If a decorative sign in the form of a circle has a diameter of 10 feet what is the area of the sign
During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which
integer represents the total number of yards at the end of the first four plays?
O 3
O0
O9
O18
Answer:
the answer is 0 when you lose nine yards you are at -9 then you gain 3 on each of the next 3 plays so that is 9-9= 0
Step-by-step explanation:
HELP PLEASE!!!!!! POINTS WILL BE GIVEN!!
1. It is impossible to buy a negative number of TV ads. Write an
inequality for this constraint.
2. It is impossible to buy a negative number of magazine ads. Write an
inequality for this constraint.
Information about project:
TV ads cost $600 per airing.
Magazine ads cost $1200 per issue.
You total advertising budget is $9,000.
Answer:
You havent gaven enough information for me to solve the question, do i just freely pick how much magazine ads and tv ads i want until i get to 9k, im very confused
Step-by-step explanation:
Work out the value(3^2)^2 x (10^3)^2
Answer:
81,000,000
Step-by-step explanation:
(3²)² × (10³)²
(9)² × (1000)²
81 × 1000000
81,000,000
Answer:
1000081
Step-by-step explanation:
=3^6+10^6
=81+1,000,000
A rectangular table top has an area of 8ft and a perimeter of 12ft.What are the dimensions of the table?
Answer:
Dimensions are 2 and 4
Step-by-step explanation:
Area= a*b=8
Perimeter=2(a+b)=12 => a+b = 12/2. a+b = 6
a+b=6 =>a=6-b
If a=2=>b=4 so 4+2=6 , 4*2=8 and 4*2+2*2=12
If a=4=>b=2 so 4+2=6 , 4*2=8 and 4*2+2*2=12
Dimensions are 2 and 4
The possible dimensions of the table are -
L = 2, B = 4.
or
L = 4, B = 2.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a rectangular table top has an area of 8 ft and a perimeter of 12 ft.
Let the dimensions of the rectangular table be {x} ft and {y} ft respectively.
We can write -
xy = 8 ....... Eq(1)
2(x + y) = 12
x + y = 6 ....... Eq(2)
y = (6 - x)
Then, we can write -
x(6 - x) = 8
- x² + 6x = 8
x² - 6x + 8 = 0
(x - 2)(x - 4) = 0
We get -
x = 2 and x = 4
Now,
For x = 2, y = 4.
For x = 4, y = 2.
Therefore, the possible dimensions of the table are -
L = 2, B = 4.
or
L = 4, B = 2.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ2
I need help please I’m struggling in this Question can you please help me .
Answer:
i forget how to get it :)
Step-by-step explanation:
Answer: B
Step-by-step explanation: logical answer but if its nit right my bad
10 x 10 in exponential form
Answer:
10^2
Step-by-step explanation:
Answer:
10²
Step-by-step explanation:
There are 2 "10's" being multiplied.
Write
6
1
2
as an improper fraction.
Answer:
13/2
Step-by-step explanation:
you do 6*2=12+1=13 which gives ya 13/2
you keep the denominator
solve please 9²=97. is the answer rational or irrational?
Answer:
I got you, 81 = 97 or 81, is a rational number.
Step-by-step explanation:
A rational number, denoted by Q is a number which can be written in the form. 81 can be expressed as 811 where both 81 and 1 are integers.
At an argheological site, the remains of two ancient step pyramids are congruent. If ABCD=EFGH, find m/_EHG.
Answer:
m∠EHG = 68
Step-by-step explanation:
If the two ancient step pyramids are congruent,
ABCD ≅ EFGH
All the angles and sides of the two pyramids will be congruent.
By the property of congruence,
Base angles of both the pyramids will be congruent.
m∠ADC = m∠EHG = 68°
Therefore, m∠EHG = 68 will be the answer.
1. whats the midpoint between (7,3) and (-3,-1)
Answer:
(2, 1 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (- 3, - 1) , then
midpoint = ( [tex]\frac{7-3}{2}[/tex], [tex]\frac{3-1}{2}[/tex] ) = ( [tex]\frac{4}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (2, 1 )