Josh plans to make bird houses to sell at a craft fair the sample of wood he uses has an area of 1/5 square foot in weighs 1/2 lb the local hardware store sells the wood only by the square yard there are 9 square feet in 1 square yard

a. how many pounds of the wood are there in 1 square yard?

b. if Josh needs three square yards of the woods in all how many pounds of the wood does he need

Answers

Answer 1

Answer: a.) 22.5 lb and b.) 67.5 lb


Step-by-step explanation:

a.Weight of 1/5 square foot sample of wood = 1/2 lb

Multiplying 5 on both sides we get ,

weight of 1 square foot sample of wood=1/2×5=5/2 lb

Now, 1 square yard = 9 square feet

Thus weight of sample of wood in 1 square yard = 9 ×weight of 1 square foot sample of wood=9×5/2=45/2=22.5 lb

b. Weight of three square yards of wood=3 times weight of wood in 1 square yard

=3×22.5=67.5 lb

Answer 2
Final answer:

Each square foot of wood weighs 2.5 lbs, so one square yard (or 9 square feet) weighs 22.5 lbs. Josh would therefore need 67.5 lbs of wood to construct his birdhouses.

Explanation:

This question requires a basic understanding of ratio and proportion. The information given is that Josh's sample of wood, which covers an area of 1/5 square foot, weighs 1/2 lb. However, wood is sold by the hardware store in square yards, and we know that 1 square yard equals 9 square feet.

In other words, each single square foot of wood weighs 2.5 lbs (1/2 lb divided by 1/5). So, the weight of 1 square yard of wood (9 square feet), would be 2.5 lbs per square foot times 9, or 22.5 lbs.

If Josh needs three square yards of wood for his birdhouses, he would therefore need 3 times 22.5 lbs, or 67.5 lbs.

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Related Questions

HELP ME PLEASE !!!!!!!!!!15 POINTS 

Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters?
A.9.465 milliliters
B. 94.625 milliliters
C. 9,462.5 milliliters
D. 94,625 milliliter

Answers

C is the correct answer 3.785*2.5=9.4625 then multiply by 1000 and you get 9,462.5

Answer:

c

Step-by-step explanation:

What is 1 7/8 times 5/6

Answers

[tex]Solution, 1\frac{7}{8}\cdot \frac{5}{6}=1\frac{9}{16}\quad \left(\mathrm{Decimal:\quad }\:1.5625\right)[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{7}{8}=\frac{15}{8}, =\frac{15}{8}\cdot \frac{5}{6}[/tex]

[tex]\mathrm{Cross-cancel\:common\:factor:}\:3, =\frac{5}{8}\cdot \frac{5}{2}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}, =\frac{5\cdot \:5}{8\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25, =\frac{25}{8\cdot \:2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16, =\frac{25}{16}[/tex]

[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{25}{16}=1\frac{9}{16}, =1\frac{9}{16}[/tex]

Hope this helps!!!

What is the value of x?

Answers

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

2x+20=3x-30

x=50

plz answer this question

Answers

A.)    1.3968253968254

B.) 8.75

C.)1.94

D.)2.962962962963

What is the explicit formula for this sequence? −8, −3, 2, 7, …

Answers

It's an arithmetical sequence with [tex]a_1=-8,d=5[/tex]

So

[tex]a_n=a_1+(n-1)d\\\\a_n=-8+(n-1)\cdot5\\\\a_n=-8+5n-5\\\\\boxed{a_n=5n-13}[/tex]

Consider the algebraic expression:

-z-7y+18x+4

Which of the follow is a constant in this expression?

Which of the following lists all the coefficients in this expression?

Answers

Coefficients are the numbers that are next to a variable(a letter in an expression). Therefore the coefficients would be 7 and 18 because they are both next to a variable (y and x).

I can’t exactly remember what a constant is but I think it is a number alone (not next to any variables) and they are ONLY separated by + and - not multiplication or division. In this case it would be all of the numbers that are in between the + or - (all of them.)

I also think a constant could be the variable next to the coefficient. Which would be y and x (next to 7 and 18).

I’m am so sorry I can’t remember what a constant is but I hope the coefficient helps:)

Answer:

Which of the following is a constant in this expression?

✔ 4

Which of the following lists all the coefficients in this expression?

✔ -1, -7, 18

The mean score on a driving exam for a group of​ driver's education students is 80 ​points, with a standard deviation of 3 points. Apply​ Chebychev's Theorem to the data using k=2. Interpret the results.

Answers

Final answer:

Applying Chebyshev's theorem with a mean of 80 and a standard deviation of 3 to k=2, we find that at least 75% of exam scores should fall between 74 and 86 points.

Explanation:

Chebyshev's Theorem states that at least [tex]1 − 1/k^2[/tex](where 'k' is any real number greater than 1) of data from a sample will fall within 'k' standard deviations from the mean. Given that the mean score on the driving test is 80 points and the standard deviation is 3 points, we apply Chebyshev's theorem with k=2 (2 standard deviations from the mean).

Now let's do the calculations. The formula for Chebyshev’s Theorem is [tex]1 – 1/k^2[/tex], so that gives us[tex]1 - 1/2^2 = 1[/tex] - 1/4 = 0.75 or 75%.

Also, to find the range within which 75% of the results will fall, we use the mean and standard deviation, which gives us 'mean ± k standard deviations' => 80 ± 2*3 => [74, 86].

In conclusion, Chebyshev's theorem predicts that at least 75% of the scores on the driving test should be between 74 and 86 points.

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There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is 40 cm. The scale on the second map is 1 to 50 km what is the distance from cleveland to cincinnati on the second map explain your reasoning

Answers

Answer: Distance from Cleveland to Cincinnati on the second map is 8 km.

Step-by-step explanation:

Since we have given that

The scale on the first map is

[tex]1\ cm:10\ km[/tex]

That means

[tex]1\ cm=10\ km[/tex]

Distance from Cleveland to Clncinnati = 40 cm

So,

[tex]1\ cm=10\ km\\\\40\ cm=10\times 40\ km\\\\40\ cm=400\ km[/tex]

Similarly, Scale on the second map is given by

[tex]1\ cm:50\ km\\\\i.e.\\\\1\ cm=50\ km[/tex]

So, our 400 km in second map will be

[tex]\frac{400}{50}\ km=8\ km[/tex]

Hence, Distance from Cleveland to Cincinnati on the second map is 8 km.

Teresa graphs the following 33 equations: y=2x, y=x2+2, and y=2x^2. She says that the graph of y=2^x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not?

Answers

she is correct because the graph of y=2^2 will surpass the other 2 lines on the graph.

Final answer:

Teresa is correct as the graph of the exponential function y=2^x increases more rapidly than those of the linear and quadratic functions when x becomes large. Thus, y=2^x will eventually surpass the other graphs.

Explanation:

Teresa's statement that the graph of y=2^x will eventually surpass the other graphs of y=2x, y=x^2+2, and y=2x^2 is correct. This is because the graph of an exponential function such as y=2^x increases more rapidly than the graphs of linear or quadratic functions when the value of x becomes large.

For example, plotting data pairs for each of these equations, we would see that as x increases, the value of y for y=2^x will eventually be greater than the y-values for the other functions. While y=2x and y=x^2+2 will also increase with larger x, the growth rate is not as extreme as for the exponential function y=2^x.

To further illustrate, for very large values of x, the quadratic function y=2x^2 increases slower than the exponential function y=2^x. Therefore, understanding the characteristics of linear, quadratic, and exponential functions is essential in interpreting these graphs correctly.

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Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR

Answers

It is a scalene triangle.

An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.please i need help on this.

Answers

Answer:

[tex]\frac{11}{3}[/tex] miles

Step-by-step explanation:

Let the total miles traveled be x.

Now, for the first 0.5 miles total charge is = $3.50

Then, the remaining distance to be traveled[tex]=(x-0.5)[/tex] miles

For each additional 0.1 mile, the additional charge is $0.30

So, for [tex](x-0.5)[/tex] miles, the total additional charge will be[tex]=\frac{0.3}{0.1}(x-0.5) =3(x-0.5)[/tex]

Then, including the $2 tip, the total fare will be[tex]=3.50+3(x-0.5)+2[/tex]

Now, given that total fare is $15, so,

[tex]3.50+3(x-0.5)+2=15\\3.50+3x-1.5+2=15\\3x+4=15\\3x=11\\x=\frac{11}{3}[/tex]miles

Let's assume, total number of miles traveled after the first 0.5 mile  are x.

For 0.1 mile, the cost is $0.30

[tex]0.1\times 10 = 1 mile[/tex]

Hence, for 10 miles, cost is

[tex]0.30\times 10 = 3[/tex] dollars

Total amount incurred = $ 3.50 (fixed cost) + 3x (cost per mile) + 2( tip)

He gave a total of $ 15, hence

[tex]15=3.50+3x+2[/tex]

[tex]9.5=3x[/tex]

[tex]x=\frac{95}{30} =\frac{19}{6}[/tex] miles

Total miles traveled = [tex]\frac{19}{6} +\frac{1}{2}[/tex] =[tex]\frac{11}{3}[/tex] miles




36+36+36+36+36 ps i know this but this is way easyer

Answers

Answer,

180

-Laura :-)

Answer:

180

Step-by-step explanation:

For which value of x is the figure a rectangle?
A. x = -1
B. x = 11
C. x = 11.5
D. x = 22.25

Answers

The corner is 90° in a rectangle so the two must add up to it.

The answer is B, because

11×3=33
5×11=55+2=57
57+33=90

Since the two add up to 90° This makes B the correct answer.

Answer:

The value of x is 11.

Option (B) is correct.

Step-by-step explanation:

By using the property of the rectangle .

In rectangle all four angles are 90° .

As the figure given in the question .

Thus

(5x + 2) + 3x = 90

Open the bracket

5x + 2 + 3x = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

[tex]x = \frac{88}{8}[/tex]

x = 11

Therefore the value of x is 11.

Option (B) is correct.

Find the product!!!!!!!

Answers

Hello there!

[tex]-\frac{2}{9}*\frac{1}{5}[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓

First you had to multiply by the fractions.

[tex]-\frac{2*1}{9*5}[/tex]

Then you had to multiply by the numbers.

[tex]2*1=2[/tex]

[tex]-\frac{2}{9*5}[/tex]

You can also multiply by the numbers again.

[tex]=-\frac{2}{45}[/tex]

Answer⇒⇒⇒⇒⇒⇒=-2/45

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

-2/45 is the correct answer.

Compound Interest Question...

Answers

Answer:

Zombie population = 8 * 2^(number of hours)

Zombie population (after 24 hours) = 8 * 2^(24)

equals 8 * 16,777,216 = 134,217,728



Step-by-step explanation:


Please help easy stuff.......

Answers

To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.

So, for the first function, you have

[tex] T(x) = -x-2 \implies T(-4) = -(-4)-2 = 4-2 = 2 [/tex]

The name of the variable is obviously irrelelvant, so the same goes for the second function:

[tex] w(x) = 14-6x \implies w(-3) = 14-6\cdot(-3) = 14 + 18 = 32 [/tex]

Question 1:

T(-4) = -(-4) - 2

-(-4) - 2 = 2

help solve this algebra problem please!

Answers

Answer:

a) (1, 109)

Step-by-step explanation:

Step 1: We need to graph the function f(x) = 3x^2 +1 from the interval (-4 to 6) on the x-axis

Step 2: Graph the function f(x) = 6, which is a horizontal line. From the interval [6, 9)

The range is nothing but the y - values.

The y values start from 1 and ends 109 at the interval -4 to 9

Here with I have attached the graph. Please have a look at it.

Thank you.

Use long division to convert the rational number 1/8 to its equivalent decimal form.

Answers

Answer:

1/8 = 0.125 I hope this helps! Please give me brainiest!

Step-by-step explanation:

  0.125

8/1.000

  - 8

     20

     -16

        40

       -40

          0

1.8 you just divid both numbers

Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before tip?

Answers

The answer is:

4.50*0.18= 0.81

$4.50 × 18% ≈ 0.81


Echy~

Please answer ASAP very quickly in advance (...)

.,

Answers

5 purple  8 red  4 blue

purple beads 5 packets
red beads 8 packets
blue beads 4 packets
because 5×8=40 and 8×5=40 and 4×10=40 so if she buys this many packets as listed on the top she should have an equal amount

Zoe has 2 ten-dollar bills, 4 one-dollar bills, 3 quarters, 5 dimes, and 8 pennies. How much money does she have?

Answers

This problem is essentially testing those how to read and how to pay attention to detail. The best way to approach this is to make a list.

If we break it down slowly, We see that we have 2 $10. This means $20. 4 $1 bills is equal to $4. 3 quarters is equal to $0.75. 5 dimes is equal to $0.50, and 8 pennies is equal to $0.08. If we make a list, we can easily add them together as so:


20+4+.75+.5+.08.


The total amount of money Zoe has is: $25.33



I have no clue what to do

Answers

it looks like they can equally be divided in to four groups, group 1 A B, group 2 C D, group 3 E F G, group 4 H I J. Hope this helps.

At 3:00 PM a man 138 cm tall casts a shadow 148 cm long. At the same time, a tall building nearby casts a shadow 199 m long. How tall is the building?

Answers

Final answer:

To find the height of the building, we can use the concept of similar triangles and set up a proportion. Substituting the given values and solving for x, we find the height of the building to be approximately 186.5 meters.

Explanation:

To find the height of the building, we can use the concept of similar triangles. Let's set up a proportion using the man's height and shadow length, and the building's height and shadow length. We have:

(Man's Height)/(Man's Shadow Length) = Building's Height/(Building's Shadow Length)

Substituting the given values, we have:

(138 cm)/(148 cm) = x/(199 m)

Cross-multiplying and solving for x, we find the height of the building to be approximately 186.5 meters.

In part a and b, use each of the digits 2, 3, & 4 exactly once.

a. Write a mixed number that has a terminating decimal, and write the decimal.


b. Write a mixed number that has a repeating decimal, and write the decimal.

Answers

The answer for a is 2 3/4 which will give you 1.5 .
The answer for b is 4 2/3 which will give you a repeating decimal of 2.666666667. Hope this helps.

Answer:

a) [tex]2\frac{3}{4}[/tex] = 2.75

b) [tex]4\frac{2}{3} [/tex]= 4.6666...

Step-by-step explanation:

We are given 3 digits: 2,3,4

A terminating decimal is a decimal which stops after some decimal or ends.

a) Mixed fraction = [tex]2\frac{3}{4} = \frac{11}{4}[/tex]

decimal expansion = 2.75

It can be clearly seen that the decimal expansion stopped after two decimal places.

b) Mixed fraction =  Mixed fraction = [tex]4\frac{2}{3} = \frac{14}{3}[/tex]

Decimal expansion = 4.666666...

It can be clearly seen that the decimal expansion is non terminating and does not stop.

If each cake takes 2 1/2 cups of flour how many cups of flour are needed for 9 cakes?

Answers

Well, if each cake takes 2.5 cups, all you need to do is multiply 2.5 x 9 to get your answer!

The answer is 22 1/2

The midpoint of BC is (5, -2). One endpoint is B (3,4). What are the coordinates of endpoint C?

Answers

Let the midpoint of [tex]BC[/tex] be [tex]M(x_{_M};~y_{_M})[/tex].

Then [tex]x_{_M}=\dfrac{x_{_B}+x_{_C}}{2}[/tex] and [tex]y_{_M}=\dfrac{y_{_B}+y_{_C}}{2}[/tex].

We are given [tex]x_{_M}=5, y_{_M}=-2[/tex] and [tex]x_{_B}=3, y_{_B}=4[/tex].

[tex]5=\dfrac{3+x_{_C}}{2}\Rightarrow x_{_C}=7\medskip\\{-2}=\dfrac{4+y_{_C}}{2}\Rightarrow y_{_C}=-8[/tex]

[tex]C(7;-8)[/tex]

Answer:

The coordinates of endpoint C are (7,-8).

Step-by-step explanation:

Given information: Midpoint of BC is (5, -2) and B(3,4).

We need to find the coordinates of C.

Let the coordinate of C are (x,y).

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Midpoint of BC is

[tex]Midpoint=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

Midpoint of BC is (5,-2).

[tex](5,-2)=(\frac{3+x}{2},\frac{4+y}{2})[/tex]

On comparing both sides.

[tex]5=\frac{3+x}{2}[/tex]

[tex]10=3+x[/tex]

[tex]10-3=x[/tex]

[tex]7=x[/tex]

The value of x is 7.

[tex]-2=\frac{4+y}{2}[/tex]

[tex]-4=4+y[/tex]

[tex]-4-4=y[/tex]

[tex]-8=y[/tex]

The value of y is -8.

Therefore the coordinates of endpoint C are (7,-8).

Emerson struck out 112 times in 350 at-bats

Answers

Emerson struck out 32% of the time.


112 out of 350 can be laid out as:  112/350

Multiply both the Denominator and the Numerator by 100:

112/350 × 100/100 = 32/100 = 32%


I hope this help answer your question!


Final answer:

The subject of this question is Mathematics. Emerson's strikeout rate is 32%.

Explanation:

The subject of this question is Mathematics as we are dealing with numerical data. We are given that Emerson struck out 112 times in 350 at-bats.

To find the strikeout rate, we divide the number of strikeouts by the number of at-bats and multiply by 100 to get a percentage. So, the strikeout rate would be (112/350) * 100 = 32%.

Therefore, Emerson's strikeout rate is 32%.

Simplify square root of 40 divided by 3

Answers

when you divide them in the square root you get 3.651.... but just put 3.65
3.65 is the correct and

Jay has $25 to spend at a comic book store. If he buys a collectors guide for &12, what is the greatest number of individual comics he can by at $2 each?

Answers

The greatest number of comic books Jay can buy for $2 each is seven, because 25 - 12 = 14 and 14/7 = 2.

After buying a collectors guide for $12, Jay can use the remaining $13 to purchase a maximum of 6 individual comics at $2 each.

Jay has a total of $25 to spend on comic books after purchasing a collectors guide for $12. To calculate the greatest number of individual comics he can buy at $2 each, we subtract the cost of the collector's guide from his total budget:

$25 - $12 = $13 remaining

Each comic book costs $2, so we divide the remaining amount by the cost of one comic book:

$13 / $2 = 6.5

Since Jay cannot buy half a comic book, he can purchase a maximum of 6 comics.

what number should be added to 17 to make the sum 0

Answers

you need to add -17 to 17 to get 0

17+x=0

x=-17

Answer:

The number would be –17.

Step-by-step explanation:

Hope this helps! :)

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