Answer:
The equation of your line is y=1x+2
Step-by-step explanation:
first you take y2-y1/x2-x1
y2=-1 y1=5
x2= -3 x1= 3
that gives you your slope so (-1-5)/ (-3-3) = 1
y=mx+b
mx is your slope
y=1x+b
to solve for b you input your slope and one of your points (I used (3,5)
5=1(3) +b
solve for b and you get 2
then put your mx and b into the equation of a line
y=1x+2
and thats your answer
You can also check your work by using a graphing calculator and checking that the line goes through those two points.
Muller Farms uses at least 800 lb of special feed daily. The special feed is a mixture of corn and soybean meal with the following compositions:
lb per lb of feedstuff
Feedstuff Protein Fiber Cost ($/lb)
Corn .09 .02 .30
Soybean meal .60 .06 .90
The dietary requirements of the special feed are at least 30% protein and at most 5% fiber. The goal is to determine the daily minimum-cost feed mix.
(a) Formulate a linear programming (LP) problem to model the situation (minimizing cost and satisfying constraints). (Hint: let x1 be the lb of corn in the daily mix, and x2 represent the lb of soybean meal in the daily mix. Formulate objective function and constraints (3 constraints and non-negativity) according to the information given above)
(b) Set up an Excel sheet with the information of this LP problem.
(c) Use Excel Solver to compute the solution to this diet problem.
(d) Include in your report a screenshot of the Excel sheet you used to and a solution.
Answer:
470.59x₁ + 329,41x₂ = $437.65
Step-by-step explanation:
minimize: 0.30x₁ + 0.90x₂
where:
x₁ = pounds of corn
x₂ = pounds of soybean
constraints:
x₁ + x₂ ≥ 800
0.09x₁ + 0.60x₂ ≥ 0.30(800) ⇒ 0.09x₁ + 0.60x₂ ≥ 240
0.02x₁ + 0.06x₂ ≤ 0.05(800) ⇒ 0.02x₁ + 0.06x₂ ≤ 40
x₁ ≥ 0
x₂ ≥ 0
the optimal solution is: 470.59x₁ + 329,41x₂ = $437.65
72x2 + 39x + 207 = 0
Find the volume
Please show the steps
In a group of 20 students, there are 7 boys. What is the ratio of girls to boys?
Answer: percent is 0.53%
The ratio is 7 to 13 so you just divide 7/13
Step-by-step explanation:
Helppp ASAP. Emma wants to enlarge a square photo and print it to a square canvas. The side
length of the canvas is 12 in. The scale from the canvas to the photo is 4 in. to 1 in.
What is the side length of Emma's photo? Show your work.
(8,9), X + 8y = 9
Help me please
Answer:
slope of -1/8
and it crosses:
(3,5)
.
Plug the above data into the "point-slope" form:
y - y1 = m(x - x1)
y - 5 = (-1/8)(x - 3)
y - 5 = (-1/8)x + 3/8
y = (-1/8)x + 3/8 + 5
y = (-1/8)x + 3/8 + 40/8
y = (-1/8)x + 43/8
Step-by-step explanation:
?
You can buy 10 APPLES for $12.00. How much will it cost to buy 6 APPLES?
Answer: $7.20
Step-by-step explanation: Let me know if I'm wrong!
Alone, Brenda can dig a ditch in 5 hours. If Jack helps her, the two of them can dig
the ditch in 3 hours. How long would it take Jack to dig the ditch himself?
Brainliest if answered first
Answer:
7.5 hours
Step-by-step explanation:
1/5 in 1 hour and 1/3 in one hour
1/3-1/5 is 2/15
backwards is 15/2
7.5 hours
Hope this helps plz hit the crown ;D
Is this graph shown below a proportional or non proportional linear relationship
Step-by-step explanation:
where is the graph
complete the question
Is there a general rule to convert a function to a power series? Examples would be greatly appreciated:)
Step-by-step explanation:
Use the Maclaurin expansion:
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!
For example, for f(x) = eˣ:
f(x) = ∑ₙ₌₀°° e⁰ xⁿ / n!
f(x) = ∑ₙ₌₀°° xⁿ / n!
Frank wants to go bowling. The bowling alley charges $4 per game and a one-time charger of $3 for bowling shoes. Look at the information below:
y = 4x + 3
y is the total cost of bowling
x is the number of games bowled
Based on the information, which statement is true?
Report that other guy smh... but im not quite too sure but i believe the answer you were looking for was C. The total cost will increase by 4$ every 3 games bowled :D
WILL MARK BRAINIEST!!!!!!!!!!! PLEASE HELP ASAP
The figure below shows the location of 3 points around a lake. The length of the lake, BC, is also shown. A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 8 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B?
A.) 2.24
B.) 2.65
C.) 3.74
D.) 5.29
Answer:
I think B but I'm not sure
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
you're welcome <3
Solve for this equation: 500:10||x:50
x=10 and pls give me a thanks
A sonographer is trying to determine the size of a gallstone. If
the stone is spherical and has a diameter of 12 millimeters, what
Is its volume?
Answer:
0.9 cubic centimeters
Step-by-step explanation:
The regular price of running shoes is $89.00. They are on sale for 20% off.
a.) What is the amount of discount (amount you are subtracting from the original)?
b.) What is the sale price (the new amount)?
Please explain the question!
Answer:
a. 17.80 b. 71.20
Step-by-step explanation:
I used to hate percents. Let me teach you a trick:
take the og value (89) and multiply it by the percentage (20% or 0.2). Then once you have that answer (17.80), subtract it from the og value (89-17.80). That's your answer for how much you still owe! (71.20)
any other follow up questions? Just ask :)
1. Marsha used 2 cups of sugar to make 3 dozen
cookies. How much sugar would she use to make 9
dozen cookies?
The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?
Answer:
1. customers
2. all customers
3. 170
4. 30
5. 10
Step-by-step explanation:
edgen 2020 :)
On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?
Mixed fraction:
3 2/5 = 17/5
4 4/5 = 24/5
Miles she ran:
17/5 + 24/5
= 41/5 miles or 8.2 miles
1. la señora Treviño tiene el doble de edad que su
hijo hace 9 años la suma de su edades era 30
¿cual es su edad actual?
Answer:
Daughter age = x = 16 years old
Mother's age = 2x = 2 × 16 = 32 years
Step-by-step explanation:
The computation of their current age is shown below:
Let us assume that the current age of the daughter is x
And, the current age of the mother be 2x
Now nine years ago, their ages would be
daughter age is x - 9
And, the mother age would be 2x - 9
Now the equation would be
x - 9 + 2x - 9 = 30
3x - 18 = 30
3x = 30 + 18
3x = 48
x = 48 ÷ 3
x = 16.
Therefore
Daughter age = x = 16 years old
Mother's age = 2x = 2 × 16 = 32 years
3−y÷ 3 5; y= 1 4
whats the answer to this
Answer:
2.6
Step-by-step explanation:
Divide the numbers, then subtract them
1. Francisco invested $5,000 into an account that earns 3% compounded quarterly. How many
times will Francisco earn interest after keeping the money in the account for 5 years?
2. What will be the value of his account in 5 years if he does not make any additional deposits or
withdrawals?
3. After how many years will Francisco’s account reach $10,000
4. If Francisco wanted to double his money in 12 years, what Interest rate would his account have to earn?
Answer:
10,002.21
Step-by-step explanation:
1)4x5= 20 times
2) principal= 5000
interest rate per year= 3%
compounded times per year=4
time in years = 5
the formula is amt= p*(1+r/n)^(n*t)
thus
Amount = 5805.92
3) If time in years = 23.2
then
amount = 10,002.56
4) Principal = 5,000
interest rate per yr= 5.82%
Compounded times per year = 4
time in years =12
Martin is an after-school math tutor. He noticed that 6 people still needed help and only Two-fifths of the tutoring session time was left. Since each person is to be given an equal amount of time, Martin wrote the expression below to find the fraction of the tutoring session each person who still needed help would be allotted.
Two-fifths divided by 6
Which expression is equivalent to Martin’s expression?
StartFraction 6 Over 15 EndFraction divided by 6
StartFraction 6 Over 5 EndFraction divided by 2
Five-halves times 6
Two-fifths times 6
Answer:
150
Step-by-step explanation:
Answer:
150 is the answer of 2/5 divided by 6
Step-by-step explanation:
A bookcase has 5 of these bookshelves that are 42 inches long. How many FEET of shelf space is there? Explain your reasoning. (If the answer is given in inches you can only get a 4 out of 6 maximum. How many FEET of shelf space is the answer you explain.) *
Answer:
[tex]17.5\ \text{feet}[/tex]
Step-by-step explanation:
A bookcase has 5 bookshelves. Each bookshelf is 42 inches long.
Total bookshelf length in the book case = [tex]5\times 42=210\ \text{inches}[/tex]
[tex]1\ \text{feet}=12\ \text{inches}\\\Rightarrow 1\ \text{inch}=\dfrac{1}{12}\ \text{feet}[/tex]
[tex]210\ \text{feet}=210\times \dfrac{1}{12}=17.5\ \text{feet}[/tex]
The bookcase has a total shelf space of [tex]17.5\ \text{feet}[/tex].
*One bookshelf has a space of [tex]\dfrac{42}{12}=3.5\ \text{feet}[/tex].
Please help and don’t answer with random letters I actually need the answer
Multiply x ^ (3/4) * x ^ (1/5)
1) x ^ (4/9)
2) x ^ (3/20)
3) x ^ (11/20)
4) x ^ (19/20)
Answer:
the answer is 4) i think
Step-by-step explanation:
i'm not sure but what i know, if the base is the same number, u can just add the power. for example, the bases is the same number which is x, so u can just solve the power which 3/4 + 1/5 then u get answer.
p/s: sorry for my english
c) If the speed of the car is tripled, what will happen to the time taken?
Answer:
I think the time taken will be 1/3 of what the time is now since the time of the car is tripled.
Step-by-step explanation:
Answer:
divide time by 3 since time&speed are directly proprtional
Step-by-step explanation:
so there.
Which ratio is an equivalent ratio to the tape diagram? Select all that apply.
12 to 15
3 to 4
8 to 10
4 to 10
Answer:
hi kermit
Step-by-step explanation:
the answer is 4 to 10 its a 50 50 chance of wrong or right
Answer:
b
Step-by-step explanation:
I'm going with my gut along with what the image shows me.
Use the following information for the questionThe average travel time to work for a person living in kokomo is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time follows a normal distribution. Approximately what percentage of people living in Flint have a travel time to work that is less than 12.5 minutes?A) 15% B) 25% C) 75% D) None of these.
Answer:
16%
Step-by-step explanation:
We solve using z score formula
= z = (x-μ)/σ, where
x is the raw score = 12.5 minutes
μ is the population mean = 17 minutes
σ is the population standard deviation = 4.5 minutes
z = 12.5 - 17/4.5
z = -1
Probability value from Z-Table:
P(x<12.5) = 0.15866
Converting to percentage
= 0.15866 × 100
= 15.866%
Approximately , the percentage of people living in Flint have a travel time to work that is less than 12.5 minutes is 16%
The total length of wires A,B and C is 445cm. Wire A is 45cm longer then wire B,and wire B is half as long as wire C. How long is wire A?
Answer:
A = 145cm
Step-by-step explanation:
A+B+C = 445cm
b = 1/2c
a = b+45 = 1/2c + 45
445 = c + (0.5c) + (0.5c + 45)
445 = 2c + 45
445 - 45 = 2c
400/2 = c
c = 200cm
a = 1/2c + 45 = 1/2*200 + 45 = 100 + 45 = 145cm
Use the given x and y values to write a direct variation
equation.
x = 5, y = 25
Answer:
k= 1/5
Step-by-step explanation:
x is proportional to y
x = ky (k is const.)
k = x/y
k= 5/25
k = 1/5
Answer:
Equation of direct variation is : [tex]\mathbf{y=5x}[/tex]
Step-by-step explanation:
We are given: x= 5 and y=25
We need to write equation of direct variation.
The formula for direct variation is: [tex]\mathbf{y=kx}[/tex]
So, if y=25 and x=5, k will be:
[tex]y=kx\\25=k(5)\\k=\frac{25}{5}\\k=5[/tex]
So, equation of direct variation is : [tex]\mathbf{y=5x}[/tex]
What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.
B.
Subtract 4x to both sides of the equation.
C.
Combined the variable terms on the left side of the equation.
D.
Combine the constant terms on the right side of the equation.