Answer:
a) [tex]p \geq 60\,ft^{2}[/tex], b) [tex]w \geq 36\,ft[/tex], c) [tex]1\,qt \leq q \leq 2\,qt[/tex], d) [tex]0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65[/tex]
Step-by-step explanation:
In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:
a) At least 60 square feet of plywood for the surface
Let [tex]p[/tex] the surface area of plywood, measured in square feet, and the inequation is:
[tex]p \geq 60\,ft^{2}[/tex] (Eq. 1)
b) At least 36 feet of wood planks for the frame of the dog house
Let [tex]w[/tex] the total length of wood planks, measured in feet, and the inequation is:
[tex]w \geq 36\,ft[/tex] (Eq. 2)
c) Between 1 and 2 quarts of paint
Let [tex]q[/tex] the total capacity of paint, measured in quarts, and the inequation is:
[tex]1\,qt \leq q \leq 2\,qt[/tex] (Eq. 3)
d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.
Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let [tex]p[/tex], [tex]w[/tex] and [tex]q[/tex] the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:
[tex]0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65[/tex] (Eq. 4)
Write an inequality to represent each constraint(material and cost)
Inequality to represent cost constraints is 0.70p + 0.10pw + 8pa ≤ 65Plywood:
plywood ≥ 60 square feet
Planks:
planks ≥ 36 feet
Paints
1 quarts ≤ paints ≤ 2 quarts
Inequality to represent cost constraint
Plywood = $0.70
planks of wood = $0.10
paint costs $8
Total cost = $65
0.70 × p + 0.10 × pw + 8 × Pa ≤ 65
0.70p + 0.10pw + 8pa ≤ 65
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you are getting your hair cut and it costs you $18.30 you decide to tip the hairdresser 15% how much did you pay in total
Answer:
You pay $21.05 in total!
Jada has $200 to spend on flowers for a school celebration. She decides that the only
flowers that she wants to buy are roses and carnations. Roses cost $1.45 each and
carnations cost $0.65 each. Jada buys enough roses so that each of the 75 people
attending the event can take home at least one rose.
1. Write an inequality to represent the constraint that every person takes home at least
one rose.
2. Write an inequality to represent the cost constraint.
Answer:
1). R ≥ 75
2). 1.45R + 0.65C ≤ 200
Step-by-step explanation:
Total amount with Jada = $200
Let the number of roses purchased by her = R
Number of people = 75
Cost of R roses at the rate of $1.45 each = 1.45R
Along with roses she purchased carnations = C
Cost of carnations = $0.65 each
Total cost of Carnations = $0.65C
1). Inequality to represent the constraint that every person takes home at least one rose,
R ≥ 75
2). Inequality representing the cost constraint will be,
1.45R + 0.65C ≤ 200
This can be determined by using inequality concept. Hence inequality to represent the constraint that every person takes home at least one rose will be, R ≥ 75 and for the cost constraint will be, 1.45R + 0.65C ≤ 200.
Given:
Jada has $200 to spend on flowers.Roses cost $1.45 and carnations cost $0.65 each and 75 people attending the event can take home at least one rose.
Jada has total amount = $200
Let the number of roses purchased by Jada = R roses
Total number of people who will attending event = 75 people
Therefore,cost of R roses at the rate of $1.45 each = 1.45R
Along with roses Jada purchased carnations = C
Now the cost of each carnations= $0.65
Therefore,cost of C carnations at the rate of $0.65 each = 0.65C
1). Inequality to represent the constraint that every person takes home at least one rose will be,
R ≥ 75
2). Inequality representing the cost constraint will be,
1.45R + 0.65C ≤ 200
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I will lots offer points for good answer
Answer:
0.6376785714275 is the average degrees celcius in the city.
Step-by-step explanation:
In order to find the average, I must add the numbers and divide them by 4.
2.34 + -2/7 + -0.45 + 3/8 = 2.55071428571
2.55071428571/4 = 0.6376785714275
I AM 100% SURE
Can I have Brainliest?
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 4.2%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock fund (S) 12 % 33 % Bond fund (B) 5 % 26 % The correlation between the fund returns is .0308. Suppose now that your portfolio must yield an expected return of 11% and be efficient, that is, on the best feasible CAL. a. What is the standard deviation of your portfolio? (Do n
Answer:
28.63%
Step-by-step explanation:
Given data:
correlation between funds = 0.308
Risk-free rate = 0.042
Expected return rate = 0.11
Calculate the standard deviation of the new portfolio
standard deviation of portfolio = ( weight of risky assets )* (standard deviation of optimal risky portfolio )
weight of risky assets = (expected return - risk-free rate) / ( expected return of optimal portfolio - risk-free rate ) ( calculated using excel spreadsheet)
= 0.9696
Standard deviation of optimal risky portfolio = 29.525489% ( calculated using excel spreadsheet )
hence standard deviation of portfolio that would an expected return of 11%
= 0.9696 * 29.525489%
= 28.63%
A graph has years since group formed on the x-axis, and number of members on the y-axis. A line goes through points (2, 38) and (5, 80).
The membership of a student group is expressed by the equation y = 14x + 10, where x represents the number of years since the group was formed and y represents the number of members.
How many years will it take for the group to have 290 members?
If the group was formed in the year 2000, in what year would you expect the group to have 290 members?
Answer:
20 and 2020
Step-by-step explanation:
i got it right on edge
Answer:
The first answer is 20 and the second answer is 2020
Step-by-step explanation:
I just answered it on edge
What is the value of the expression below when y = 5?
y^2 - 3y + 6
(Please help!!)
Answer:
16
Step-by-step explanation:
you have to sub in the value in order to get the answer, I'm not really sure, sorryy if it's wrong
Answer:
16
Step-by-step explanation:
y^2=25
-3y=-15
25-15+6
(b+3g)a=9. Solve for a
Answer:
9
A= ______
b+3g
if somenoe can run 6 miles an hour how much time will it take to run 4.5 miles
27 minutes to run
im not positive but try that
Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of milk. He wants to make a smaller batch, so he uses only 3 cups of shredded cheese.
How much milk does Nolan need for this smaller batch?
Answer:
2
Step-by-step explanation:
The recipe calls for 6 cups of shredded cheese and 4 tablespoons of milk. You need to find how much milk Nolan needs for 3 cups of shredded cheese. Write a proportion.
6 cups of shredded cheese
4 tablespoons of milk
=
3 cups of shredded cheese
? tablespoons of milk
Compare the numerators.
6cups of shredded cheese
4 tablespoons of milk
=
3cups of shredded cheese
? tablespoons of milk
To get from 6 to 3, divide by 2. Divide the numerator and denominator by 2 to find the amount of milk that Nolan needs.
6cups of shredded cheese÷2
4 tablespoons of milk÷2
=
3cups of shredded cheese
2tablespoons of milk
Nolan needs 2 tablespoons of milk for a smaller batch.
What is the QUOTIENT of 16.8 and 4.4 ?
Answer:
3.81
Step-by-step explanation:
You buy a gallon of milk. How many cups can you pour from it?
Answer: 16 cups!
Step-by-step explanation: Hopefully this helped :D
Answer:
16
Step-by-step explanation:
Step 1:
1 gallon = 16 cups Conversion
Answer:
16 cups
Hope This Helps :)
writing equations of lines
Step-by-step explanation:
Equation of straight line is y=mx+c
choose any two points on straight line
for me I choose:(-3,11) and (3,-1)
use these two points to find gradient,m.
m= (-1-11)/(3-(-3))
m= -2
now, y=-2x+c
choose any point on the straight line
I choose point (3,-1)
sub the point into the equation to find c
-1=-2(3)+c
c=5
equation: y=-2x+5
10x- 2y=16 and x+5y=-20
are perpendicular,parallel or neither
Write the following number in Scientific Notation.
Explain what you did to get your answer
560,000,000,000,000,000
Answer:
5.6 * 10^17.
Step-by-step explanation:
There are 17 digits after the 5 .
So it's 5.6 * 10^17.
Note that the first number must lie between 1 and 10.
I don't really understand which number we have to write in scientifc notation but I am assuming it is the number 560,000,000,000,000,000.
Ok so, 560,000,000,000,000,000 in scientific notation is 5.6 x 10^17.
This is because if you count the number of spaces behind the decimal point of 5.6 it is equal to 17. So, you would write the answer 5.6 x 10^17.
5% of 59 is what number?
Answer:
2.95
Step-by-step explanation:
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
2.95
5 x 59
-----------
100
= 2.95
what does the sign ^ mean
Answer:
in the power
Step-by-step explanation:
10^2
Answer:
to the power of
Step-by-step explanation:
for example 2 squared could be written as 2^2
This is usually done when writing on computers as you can't make it clear that it's a power
What is the value of x? Teach me
(-6,-4) and (2,-4) reflected over the x-axis
Answer:
do u have a pic? cuz i dont get it like this
Answer:
(-6,4) and ( 2,4)
Step-by-step explanation:
Fill in the table so it represents a linear function. x 5 10 15 20 25 y - 1 11
Answer:
Step-by-step explanation:
go up by 3 so its
-1, 2, 5, 8, 11
What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by 10 degrees Celsius?
The temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by 10 degrees Celsius is 50 degree Fahrenheit.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
As we know:
F = 32 + 1.8C
We have C = 10 degree Celsius
F = 32 + 1.8×10
F = 50 degree Fahrenheit
Thus, the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by 10 degrees Celsius is 50 degree Fahrenheit.
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what is the greatest integer less than 10000 that is a factor of 11000+1100+11?please explain answer.
Answer:
12111 is the answer
Step-by-step explanation:
11000+1100+11=12111
plz like and follow me and Mark as brainlist plz
what is the result when two or more are added
You get the sum.
I hoped this helped!!
Which statement is true for rows A, C, and E?
WILL GIVE BRAINLIEST!!!!
Answer
r → (p ∨ q)
Step-by-step explanation:
I need help quickkkkkkkkkkkk
Answer:
(-1)^2
Step-by-step explanation:
If you look back to the rules of negative and positive - × - = +
So it's -1 × -1= 1
Adiosss
Answer:
D is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Value: 10 points + Brainliest
11÷∛100·198³
Answer:
49297810.2183
Step-by-step explanation:
Students are making ornaments and each takes 14 of a piece of Bristol board. They go to the cupboard and find 5 pieces oStudents are making ornaments and each takes 14 of a piece of Bristol board. They go to the cupboard and find 5 pieces of Bristol board. How many ornaments can they make?F Bristol board. How many ornaments can they make?
Answer:
The students can make 70 pieces of ornament from the 5 pieces of Bristol board from the cupboard.
Step-by-step explanation:
Since each student takes 14 of a piece of Bristol board to make an ornament, and we have 5 pieces of Bristol board in the cupboard, this implies that we require 1 Bristol board makes 14 pieces of ornament. Therefore 5 pieces of Bristol Board will make 5 × 14 pieces of ornament = 70 pieces of ornament.
So, the students can make 70 pieces of ornament from the 5 pieces of Bristol board from the cupboard.
Which statements are true about the rules of multiplication for signed numbers? Check all that apply.
The product of two negative integers is positive.
The product of two integers with different signs is positive.
If two numbers are the same sign, then the product is positive.
The product of a positive and a negative is negative.
If the signs of two integers are different, then the product is positive.
help meh pls
Answer:
The product of two negative integers is positive.
If two numbers are the same sign, then the product is positive.
The product of a positive and a negative is negative.
Step-by-step explanation:
PLEASE ANSWER THIS!!! DUE IN 10 MINUTES!!!!!!
Answer:
16. $0.16 17. $5.40 18. $4.29 19. 2 2/3 mph or 2.66 mph
Step-by-step explanation:
simplify *will give BRAINLIEST*
- (3k - 12) =
Answer:
-3(k - 4)
Step-by-step explanation:
Hope this helps and pls do mark me brainliest:)
vertex form equation 4(x+2)^2-81
what is the solution?
Answer:
x₁ = 2.5 , x₂ = - 6.5Step-by-step explanation:
[tex]4(x+2)^2-81=0\\\\4(x+2)^2=81\\\\(x+2)^2=\frac{81}4\\\\x+2=\sqrt{\frac{81}4}\quad\vee\quad x+2=-\sqrt{\frac{81}4}\\\\x=\frac92-2\qquad\vee\quad\ x=-\frac92-2\\\\x=\frac52\qquad\vee\quad\ x=-\frac{13}2[/tex]