Kali wants to build this birdhouse.she bought a24 inch by 48 inch sheet of plywood does kali have enough wood to make the bird house Explain Next Question: kali Decides to paint the bird house.she a a pint of paint that covers 32.5ft^2 of surface how can you tell that kali has enough paint without calculating?? 14 Points
Answers
where
[tex]A[/tex] is the area
[tex]w[/tex] is the width
[tex]l[/tex] is the length
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so [tex]w=24[/tex] and [tex]l=48[/tex]. Lets replace those values in our formula:
[tex]A=wl[/tex]
[tex]A=(24)(48)[/tex]
[tex]A=1152[/tex] square inches
Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism: [tex]A=2(wl+hl+hw)[/tex]
where
[tex]A[/tex] is the surface area
[tex]w[/tex] is the width
[tex]l[/tex] is the length
[tex]h[/tex] is the height
We already know those values, so lets replace them:
[tex]A=2(5*5+8*5+8*5)[/tex]
[tex]A=210[/tex] square inches
Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.
2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that he has more than enough painting to paint his bird house.
Related Questions
6 clients are throwing a party. Each cake serves 24 servings and has a party of 70 +3staff how many cakes are needed?
Answers
To serve 73 people at a party, 4 cakes are needed since each cake serves 24 people and it is not possible to have a fraction of a cake.
Explanation:To determine how many cakes are needed for a party with 70 guests and 3 staff members, we need to calculate the total number of servings required and then divide this by the number of servings each cake provides.
First, we add the number of guests and staff to find the total number of people at the party:
Number of guests: 70Number of staff: 3Total number of people: 70 + 3 = 73Each cake serving is designed to serve 24 people. We divide the total number of people by the number of servings per cake to find out how many cakes are needed:
(Total number of people) ÷ (Servings per cake) = Number of cakes
73 ÷ 24 = 3.04166667
Since you cannot have a fraction of a cake, you need to round up to the next whole number. Therefore, you need 4 cakes to have enough servings for everyone at the party.
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4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.
To determine the number of cakes needed, we must first calculate the divide that number by the number of servings each cake provides.
First, we add the number of guests to the number of staff:
70 guests + 3 staff = 73 people in total.
Next, we need to ensure that each person gets one serving of cake. Since each cake serves 24 servings, we divide the total number of people by the number of servings per cake:
73 people · 24 servings per cake = 3 cakes with some servings left over.
Since we cannot serve a fraction of a cake, we must round up to the nearest whole number to ensure that there are enough servings for everyone. Therefore, we need 4 cakes in total to serve all 73 people at the party.
In conclusion, 4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.
Deja had two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She is going to split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive.
Answers
The required measure of the number of pounds of berries each person would receive is 1.562 pounds.
Given that,
One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
Total number of berries = 3 3 /8 + 2 7/8
= 5 5 /4 = 25 / 4 pounds
Number of people = 4
pounds of berries each people can have,
= 25/ 4 / 4= 25 / 16
= 1.562 pounds
Thus, the required measure of the number of pounds of berries each person would receive is 1.562 pounds.
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A 1/4 lb package of sunflower seeds cost 79cents. An 8 ounces package cost 1.59. Which package represents the lower cost per ounce
Answers
Second Package is 8 oz at 1.59 = 19.875 cents / oz
So the first package is cheaper per ounce.
When designing a building, you must be sure that the building can withstand hurricane force winds, which have a velocity of 73mi/h or more. The formula f = 0.004av2 gives the force f in pounds exerted by a wind blowing against a flat surface. A is the area of the surface in square feet and v is the wind velocity in miles per hour. How much force is exerted by a wind blowing at 81 mi/h against the side of the building shown?
Answers
To calculate the force exerted by the wind blowing against the side of the building, you can use the formula f = 0.004av², where f is the force, a is the area of the surface, and v is the wind velocity. Given the wind velocity of 81 mi/h, you need to determine the area of the surface to calculate the force.
Explanation:The formula to calculate the force exerted by a wind blowing against a flat surface is given as f = 0.004av², where f is the force in pounds, a is the area of the surface in square feet, and v is the wind velocity in miles per hour.
In this case, we are given that the wind velocity is 81 mi/h. To calculate the force exerted by the wind, we need to know the area of the surface.
Once we have the area, we can substitute the values into the formula and calculate the force.
If x = 15 units and h = 6 units, then what is the area of the triangle
Answers
Area of a triangle is 1/2 * base * height.
1/2 * 15 * 6
1/2 * 90
45
45 units² is your answer.
Which equation represents a horizontal line? A. x=y=2 B. y=x+1 C. x=2 D. y=2
Answers
Therefore D. y=2 is a horizontal line.
The set of all numbers on the number line are called the ____________.
A number that has an equivalent terminating or repeating decimal is called a(n) _______________.
A number that has an equivalent decimal that is non-repeating is called a(n) _______________.
Any number that can be written as a fraction of integers is a(n) ______________.
Answers
Irrational
Ratio
Rational
The set of all numbers on a number line is called the "Real Numbers".
What is a rational number?Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.
The set of all numbers on a number line is called the "Real Numbers".
A number that has an equivalent terminating or repeating decimal is called a "Rational Number".
A number that has an equivalent decimal that is non-repeating is called an "Irrational Number".
Any number that can be written as a fraction of integers is a "Rational Number".
Hence, the set of all numbers on a number line is called the "Real Numbers".
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A circular pizza has a diameter 10cm.what is the approximate area of the pizza?(use pi=3)
Answers
Circle Formula for Area= πr^2
C= πr^2
= (3)(5)^2
square 5; when squaring, multiply the number by itself one time
= 3(5*5)
= 3(25)
= 75 cm^2
ANSWER: The approximate area is 75cm^2 (using 3 for π).
Hope this helps! :)
SOMEONE HELP GIVING 50 POINTS HELP HELP HELP I NEED ALL THE ANSWERS
Answers
Find a positive angle less than one rotation that is coterminal with –308°.
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
We are given an angle -308 degrees.
A co-terminal angle is an angle which shares the same terminal side of the angle given.
We are asked to find its positive co-terminal angle.
When we find positive co-terminal angle, we add 360 degrees in given angle, so
positive co-terminal angle is : [tex]-308+360=52[/tex]
So, the answer is 52 degree. : Answer
Hope it will help :)
to obtain the graph of y=(x-8) shift the graph of y=x^2
Answers
f(x + q): left q units
f(x) - q: down q units
f(x) + q: up q units
The graph of y = (x - 8)² is the graph of y = x² shifted 8 units to the right.
Tara is researching the stork population living in a bird reserve. On her first day, she captures and tags 41 birds. Two weeks later, she captures 57 birds and finds that 48 are not tagged. Estimate the actual number of storks in the bird reserve
Answers
What is x?
x-1 / x-1 = -1
|x-1| / | x-1 | = 1
|x-1| / |x-1| = -1
Pls Help!!!
Need it by 15 minutes.
Answers
Answer:
|x-1| / | x-1 | = 1
Step-by-step explanation:
Which of the following show a geometric series? Select all that apply.
A. 2 + 3 + 4.5 + 6.75 + …
B. 2 + 2.5 + 3 + 3.5 + …
C. 6 + 7 + 9 + 12 + …
D. 4 + 8 + 16 + 20 + …
E. 8 + 4 + 2 + 1 + …
Answers
Answer:
only A. and E.
Step-by-step explanation:
The answer would be option(A) and (E) are show a geometric series.
A. 2 + 3 + 4.5 + 6.75 + …
E. 8 + 4 + 2 + 1 + …
What is a Geometric Series?Geometric sequence or series is defined as a sequence of numbers such that the next term is either increasing or decreasing by a specific ratio referred to as a geometric sequence.
The standard equation for geometric series as:
Tₙ = a₁ rⁿ⁻¹
where a₁ is the first term and r is the common ratio.
A. 2 + 3 + 4.5 + 6.75 + …
Here, first term a₁ = 2 ,
The common ratio r = 3/2 = 4.5/3 = 6.75/4.5 = 1.5
So, this is a geometric series.
E. 8 + 4 + 2 + 1 + …
Here, first term a₁ = 8 ,
The common ratio r = 4/8 = 2/4 = 1/2 = 0.5
So, this is a geometric series.
Hence, the option(A) and (E) are show a geometric series.
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I'm a figure with six layers each of my layers is the same my bottom lame layer has a perimeter of 28 units in my volume is between 200 and 300 cubic units what is my volume
Answers
To determine this you can use the given perimeter of 28 to create combinations of dimensions of a recatangule prism.
I started with 7 + 7 + 7 + 7 to get 28. This means the length and width were both 7 units.
This would make the dimensions of this prism 7 x 7 x 6(the height).
The find the volume multiply all three numbers.
The volume is 296 cubic units.
In Samantha's English class, her current grade is calculated by finding the average of the scores she received on her terms papers. Samantha's last term paper brought her average up to a 91 from an 89, which was her average from the first three. Samantha claims that she scored a 97 on her fourth term paper. Is Samantha's claim true?
Answers
This means, her total scores in first three test were = 3 x 89 = 267
Her average in four tests = 91
This means, her total scores in four tests are = 364
267 give the sum of first three test scores. and 364 give the sum of scores with fourth test adding in three tests.
So, subtracting 267 from 364 will give us the scores of Fourth test.
Scores of Fourth test = 364 - 267 = 97
Thus, Samantha's Claim is correct
During a three–day period, the stock of Money, Inc. gained 6 points, lost 10 points, and gained 2 points. What was the total change in points for the three days?
A.
2 points
B.
4 points
C.
–6 points
D.
–2 points
Answers
0+6=6
6-10=-4
-4+2=-2
Answer:
the answer is D
Step-by-step explanati
if m<cdb=50 degrees, what is m<edg?
answer options are:
A. 35 DEGREES
B. 40 DEGREES
C. 45 DEGREES
D. 50 DEGREES
Answers
Answer: the answer is C. 45.
From a survey, a reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71,0.78).
What is the point estimate of the proportion of residents who are against expanding the airport?
Enter your answer, as a decimal, in the box.
Answers
Answer: The point estimate of the proportion of resident who are against expanding the airport is 0.745.
Step-by-step explanation:
Since we have given that
A reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71, 0.78).
So, we need to find the point estimate of the proportion of residents who are against expanding the airport.
So, Point estimation of the proportion of resident would be
[tex]\dfrac{0.78+0.71}{2}\\\\=\dfrac{1.49}{2}\\\\=0.745[/tex]
Hence, the point estimate of the proportion of resident who are against expanding the airport is 0.745.
the monthly popcorn special comes in a bowl that is shaped like a hemisphere. the diameter of the bowl is 10 inches. the theater sells the cylindrical container of popcorn for $5.25. if they sell the bowl of popcorn for $5.00, is it a good deal
Answers
Answer: it would be a good deal because if you do you 1/3x (3.14) or pie x (5) cause it’s the diameter and 10 divided by 2 is 5
Step-by-step explanation:
The figure shows a trapezoid with a height of 4 units. The area of the trapezoid is 20 square units. Select all of the dimensions for a and b that would represent the trapezoid
Answers
Mark Borrowed $5,500 at 11.5 percent for 5 years (2.199) what is the amount of Marks total payment?
Answers
l= prt
l= 5500(.115)(5 )= $3162.5 is the total amount of interest to pay.
Answer:
The amount of Mark's Total payment is $9478.15.
Step-by-step explanation:
Given : Mark borrowed $5,500 at 11.5 percent for five years.
To find : What is the amount of Mark's total payment?
Solution :
Using compound interest formula,
[tex]A=P(1+r)^t[/tex]
Where A is the amount,
P is the principle P=5,500
r is the rate r=11.5%=0.115
t is the time t= 5 years
Substitute the value,
[tex]A=P(1+r)^t[/tex]
[tex]A=5500(1+0.115)^5[/tex]
[tex]A=5500(1.115)^5[/tex]
[tex]A=5500(1.7233)[/tex]
[tex]A=9478.15[/tex]
Therefore, The amount of Mark's Total payment is $9478.15.
There are 3 black marbles and 4 red marbles in a bag.
What is the probability you will pick two black marbles out of the bag without replacing the first one chosen?
A) 6/8
B) 9/49
C) 5/13
D) 1/7
Answers
The probability that the first marable is black
[tex]P(A_1)=\dfrac{3}{7}[/tex]
The probability that the second marable is black too
[tex]P(A_2)=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Together:
[tex]P(A)=P(A_1)\cdot P(A_2)=\dfrac{3}{7}\cdot\dfrac{1}{3}=\dfrac{1}{7}\to D[/tex]
The probability you will pick two black marbles out of the bag without replacing the first one chosen is, 1 / 7.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
There are 3 black marbles and 4 red marbles in a bag.
Hence, Total number of marbles = 3 + 4 = 7
Thus, The probability you will pick one black marbles out of the bag is,
⇒ 3 / 7
And, The probability you will pick another black marbles out of the bag is,
⇒ 2 / 6
⇒ 1 / 3
Thus, The probability you will pick two black marbles out of the bag without replacing the first one chosen is,
⇒ 3/7 × 1/3
⇒ 1/7
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Charlene is looking at a pair of earrings that costs 10$. Find the totlat cost of the earrings if there is a 15% discount and the sales tax is 8%.Does it matter if the discount is taken before if after the sales tax is added?
Answers
Remark
The correct method is to take the reduction and then add the sales tax. It turns out you get the same answer no matter which way you do it. But the IRS is only interested in the tax put on the eventual selling price and not on any theoretical price you may have gotten before the reduction
Obviously the government would prefer the second method (they get more taxation income) but so far they have not closed that loophole.
Correct Method
Cost of earrings = $10
Find 15% reduction 10*15% = 10*15/100 = 1.5 dollars.
Find the reduced price
10 - 1.5 dollars = 8.5 dollars.
Find the tax on 8.5 dollars.
Amount Tax = 8.5 * 8/100 =0.68 dollars
Add this onto 8.50
Total Cost = 8.50 + 0.68 = $9.18
Answer to Question about order
Now suppose you take the tax first and add it on.
10 * 8/100 = 0.80
Add this onto the selling price 10 + 0.80 = 10.80
Now take the 15% reduction
10.80 * 15/100 = 1.62
Subtract this from the taxed amount
10.80 - 1.62 = 9.18 which doesn't seem to matter.
A=12h(b1+b2) solve for b1 please.
Answers
Plus, if you are finding the area
the equation would be like this
A: 1/2 (b1+b2) x 12h
Isolate b1 in the equation A=12h(b1+b2) by first subtracting 12h*b2 from both sides and then divide both sides by 12h. The result is b1 = (A - 12h*b2) / 12h.
Explanation:In order to solve the equation A=12h(b1+b2) for b1, we need to isolate b1. We begin by subtracting the product of 12h times b2 from both sides of the equation. This gives us A-12h(b2) = 12h(b1).
Next, we divide both sides of the equation by 12h to solve for b1, resulting: b1 = (A - 12h*b2) / 12h.
So, if you can determine the values of A, b2, and h from your problem, you can substitute those in to get your solution for b1.
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Christy works at a bakery. The bakery sells cakes, cupcakes, and pies. Hayley ordered the cake shown .
Answers
Evaluate the expression. If necessary, round to the nearest hundredth. lne^3x^2
Answers
lne ^ 3x ^ 2
Rewriting we have:
ln (e ^ (3x ^ 2))
By properties of the natural and exponential logarithm function, we can
rewrite the expression as:
ln (e ^ (3x ^ 2)) = 3x ^ 2
Answer:
The equivalent expression is given by:
3x ^ 2
by the properties of logarithm
lna^x = xlna
so, the equation goes by
3x^2 lne; lne = 1
so the equation is 3x^2
What is the approximate surface area of a cylinder with a height of 12 meters and a base radius of 2 meters?
Answers
Word form: 2(area of base) + (circumference of base)(height)
Find the numbers you need to plug in to the formula.
Area of base: [tex] \pi [/tex]2² = 12.57 m²
Circumference of base: 2[tex] \pi [/tex]2 = 12.57 m
Height: 12 m
Plug these numbers in to the formula.
2(12.57) + (12.57)(12) = 175.98
The SA of the cylinder is 175.98 m².
PLEASE HELP ME!!!!!!!
Answers
The slope value of the line drawn is 2
Choosing the points to be used to calculate the slope from the graph;
(3, 7) and (0, 1)Slope = Rise / Run
Rise = y2 - y1 = (1 - 7) = -6Run = x2 - x1 = (0 - 3) = - 3This means:
Slope = -6/-3
slope = 2
Therefore, the value of the slope is 2
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find the next number in the given series?2,3,8,27,112,?
Answers
2, 3, 8, 27, 112, ?
2 * 1 + 1 = 3
3 * 2 + 2 = 8
8 * 3 + 3 = 27
27 * 4 + 4 = 112
112 * 5 + 5 = 565.
Good luck :)