Answer:
I think the answer is underestimate of the circle
Step-by-step explanation:
I believe it is underestimate because the dodecagon is inside the circle, therefore smaller than the circle. It wont fill the circle completely so that is why i think it is underestimate. I hope this helps, if not I am really deeply sorry!!!!!
Han wants to build a dog house. He makes a list of the materials needed:
At least 60 square feet of plywood for the surfaces
At least 36 feet of wood planks for the frame of the dog house
Between 1 and 2 quarts of paint
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.
write inequalities to represent the material constraints and cost constraints in this situation.
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 = $65
0.70 × p + 0.10 × pw + 8 × Pa ≤ 65
0.70p + 0.10pw + 8pa ≤ 65
Read more:
https://brainly.com/question/11067755
Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points
Answer:
The equations of the line are
y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B
y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y1=m(x-x1)[/tex] , where
m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex]∵ The line passes through points (-4, -7) and (3, 2)
∴ x1 = -4 and y1 = -7
∴ x2 = 3 and y2 = 2
→ Use the rule of the slope above to find it
∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]
∴ The slope of the line is [tex]\frac{9}{7}[/tex]
→ Substitute the values of m and (x1, y1) in the form of the equation above
∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)
∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
∴ The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
→ Substitute the values of m and (x2, y2) in the form of the equation above
∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
∴ The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
→ Look at the answers to find the same equations
∴ Answers B and E have the same equations
At the marget 8 apples cost 4 dollars how much does 9 apples cost
Answer:
8 /4 = 2
answer: each apple cost 2$
Answer:
$4.50.
Step-by-step explanation: Since the market is selling 8 apples for $4, we can determine that one apple is 50 cents. Knowing that information, we can apply that same rule to 9 apples, resulting in a total of $4.50. Hope this answered your question.
Russ and Vickie are trying to solve this problem: There are 139 students taking buses to the museum. If each bus holds 24 students, how many buses will they need?
Vickie says the students need 5 buses. Russ says they need 6 buses. Who is correct?
They will need
_______buses.
So,
_____ is right.
Answer:
5 busses and vicke is right
Step-by-step explanation:
The sum of 3 consecutive even numbers is 72 what is the smallest of the three numbers
Answer:
23
Step-by-step explanation:
x + (x + 1) + (x + 2) = 72
3x + 3 = 72
3x = 69
x = 23
check answer:
23 + 24 + 25 = 72
A line passes through the points (–3, –4) and
(6, 2).
what is the x intercept of this line
Answer:
3,0
Step-by-step explanation:
use the slope formula and slope-intercept form to find
x and y intercepts
Answer:3
Step-by-step explanation:Use your brain
Which scenario best expresses a 400% increase?
Answer:
I think its 9 to 45, b.
Step-by-step explanation:
because the a gets you a 39900% , and c gets you a 500%, and d gets you a 300%. So b is the only option that makes sense.
Answer:
9 to 45
Step-by-step explanation:
100 points if you do this correctly. Just simply tell me where the words need to be in struggling ;ccc (i can't give brainliest so reward is a bumblebee).
Answer:
one: perpendicular
2 : hypotenuse
Step-by-step explanation:
what is 2493483 x 23822
Answer: 59,399,752,026
Step-by-step explanation: 2,493,483 · 23,822 = 59,399,752,026
Plz mark brainliest:)
A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write 2 patterns that could represent the cost of 1,2,3,4,and5 hats and scarves list the first 5 terms of each pattern then write the cost of 6 hats and scarves using the patterns you wrote
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question :
A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write 2 patterns that could represent the cost of 1,2,3,4,and5 hats and scarves list the first 5 terms of each pattern then write the cost of 6 hats and scarves using the patterns you wrote
Let cost of hats = h
Cost of scarves (s) = 1.5h
Hence of hat = $4 ; Scarve = 1.5 * 4 = 6
___________1__2___3___4___5
Cost of hat__ 4__8___12__16__20
Scarve cost__6__12__18__24__30
cost price * quantity sold
Cost of hat = 6 * $4 = $24
Cost of 6 Scarve = 6 * $6 = $36
A farmer paid $500 per month for deliveries over 10 months. For the other 2 months of the year, he paid $600 per
month. Which numerical expression can be used to find the total the farmer paid for deliveries this year?
Answer:
500(10) + 600(2)
Step-by-step explanation:
A child needs to take 1/2 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose?
PLEASE HELP
Answer:
1/8 tablespoons
Step-by-step explanation:
Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.
You can do this by multiplying 1/2 by 1/4.
[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]
Answer:
it would be 1/8
Step-by-step explantion:
simply divide
1/2÷4
=1/8
(that should be right)
The temperature is 15 degrees and is expected to fall 2 degrees each hour during the night.write the linear equation that models this situation
Answer:
-2x+15
Step-by-step explanation:
15 is your starting point wich is your y-intercept.
-2 because it deacreases by 2 wich makes it negative
x is the variable for hour
What is the slope of the line through (-1,8) and (3,-4) ?
Answer:
m = −3
Step-by-step explanation:
Use the slope formula to find the slope m .
HELP PLEASE !
Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
Answer: the slope would be 1/1.
hope this helps
What is the change in elevation from -87.2 Feet to 33.6 Feet?
Answer:
120.8 feet
Step-by-step explanation:
I’ll give the Brainliest to who answers the question and also explain how they got the answer.
1. One number is four more than another number. The sum of the two numbers is sixty‐six. Find the two numbers. Explain.
2. One integer is eight less than another integer. The sum of the two integers is fifty. Find the integers. Explain.
Answer:
Step-by-step explanation:
#1
so 1st integer=35 and 1st integer=31
x=4+y
x+y=66
4+2y=66
2y=62
y=31
x=4+31
x=35
#2
1st integer = x 2nd integer = x - 8
(x) + (x - 8) = 50
x + x - 8 = 50
2x - 8 = 50
2x = 58
x= 29
so 1st integer = x = 29
and 2nd integer = x - 8 = 29 - 8 = 21
first answer came from https://brainly.com/question/13947765 by user Omniystic
Identify the factored form of each polynomial. 4r + 11x + 6 4x + 10x + 6 11. 4r + 14x +6 (4x+3)(x+2) :: (x+3)(4x + 2) :: (2x+3)(2x + 2)
Answer:
1) 4x^(2)+11x+6 Factored--> (4x+3) (x+2)
2) 4x^(2)+10x+6 Factored--> (2x+3)(2x+2)
3) 4x^(2)+14x+6 Factored--> (x+3)(4x+2)
Step-by-step explanation:
Factor: 4x^(2)+11x+6 (step by step)
1) Split the second term (11x) into two terms
4x^2 + 8x + 3x + 6
2)Factor out common terms in the first two terms, then in the last two terms.
4x(x + 2) + 3(x + 2)
3) Factor out the common term x + 2
(x + 2) (4x + 3)
Repeat the above steps for similar questions!
What is the answer to this 3x-15= ax+7
Answer:
x=11
Step-by-step explanation:
The population of Landon Woods was 82,500 in 2000. In 2010, the population was 89,100. Which is the percent of change in the population?
oml yall i hate math-
i need help
HELP ME TAKING TEST!
A line passes through the points (−6,−8) and (−3,−7) . What is the equation of the line in Slope-Intercept Form?
Answer:
Try out this app called Conects. it is really helpful
pls help meh
i will give brainlyest
Answer:
75
Step-by-step explanation:
Use order of operations to solve this.
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction.
First, do 20 x 4.
[tex]80 - 100 / 20[/tex]
Then, divide 100/20.
[tex]80 - 5[/tex]
= 75
ASAP
please help me with this
Jen bought 5 CDs for $57.50 What was the unit price ?
Answer:
$11.50
Step-by-step explanation:
Use simple division
[tex]57.5/5=11.5[/tex]
Answer:
$130.00
Step-by-step explanation:
What is angle KNL
Enter your answer in the box
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Answer:
20
Step-by-step explanation:
So in case you did not know, MNJ and KNL have the same angle measure, so to find x you would just set each of the eqautions equal to each other. distribute the 3 to (x + 14) and get 5x+ 2 = 3x + 42. subtract 2 from one side and do the same on the other side. this would leave your eqaution looking like this: 5x-40= 3x, next subtract 5x from both sides and you will get -2x=-40, then vide by -2 and x will equal 20
Jessica completed 20 haircuts in 8 hours. On average how many haircuts per hour did Jessica do?
Answer:
two and a half
Step-by-step explanation:
Please select the best answer from the choices provided
A
B
C
D
Answer:
1. Is -3, or answer choice C
A rectangle has a length that is 4 ft more
than its width. What are the length and
width of the rectangle if the rectangle has
a perimeter of 48 ft?
Answer:
length = 14 width = 10
Step-by-step explanation:
48/4=12
10+10+14+14=48
An engineer makes different-size samples of a new material.
The table shows volumes and the related masses. What would be the mass
of 100 cubic centimeters of the material? Of 500 cubic centimeters of the
material?
Answer:
The mass of 100 cubic centimeters of the material would be
1,000 grams.
The mass of 500 cubic centimeters of the material would be
5,000 grams.
Step-by-step explanation:
A smoothie shop receives a delivery of 682 ounces of grape juice and 570 ounces of orange juice.
If the Royal Purple smoothie requires 22 ounces of grape juice and the Orange Tango smoothie requires 19 ounces of orange juice, how many more Royal Purple smoothies than Orange Tango smoothies can be made with the shipment of juices?
A 2 smoothies
B 1 smoothie
C 13 smoothies
D 3 smoothies