A picture framer has a board 10 1/12 feet long. The framer notices that 2 3/8 feet of the board is scratched and cannot be used. The rest of the board will be used to make small picture frames. Each picture frame needs 1 2/3 feet of the board. At most, how many complete picture frames can be made?

Answers

Answer 1

Final answer:

The framer can make at most 4 complete picture frames from the usable length of the board, after deducting the scratched section, and each frame using 1 2/3 feet of the board.

Explanation:

The picture framer has a board that is 10 1/12 feet long. However, part of this board is unusable due to scratches, and that section is 2 3/8 feet. Therefore, the usable length of the board is 10 1/12 feet - 2 3/8 feet. Each picture frame requires 1 2/3 feet of this board. To find out how many complete picture frames can be made, we need to divide the usable length of the board by the length required for each frame.

First, convert the mixed numbers to improper fractions:

Total length of the board: 121/12 feet

Scratched section: 19/8 feet

Frame length: 5/3 feet

After subtracting the scratched section from the total length, we have:

(121/12) - (19/8) = (968/96) - (228/96) = 740/96 feet

Now we divide the usable length by the frame length:

(740/96 feet) / (5/3 feet) = (740/96) * (3/5) = 740/160 = 4.625

Since we cannot have a partial frame, the framer can make at most 4 complete picture frames.

Related Questions

plz plz plz help!!!!!

Answers

The coefficient 6.3 rounds to 6
The coefficient 9.9 rounds to 10

So we go from this
(6.3 x 10^(-2))(9.9 x 10^(-3))
To this
(6 x 10^(-2))(10 x 10^(-3))

Multiply out the coefficients to get 6*10 = 60
Add the exponents to get -2 plus -3 = -5

So we end up with 60 x 10^(-5)

Be careful. This is NOT the final answer. We need to convert this to scientific notation

60 = 6*10 = 6 x 10^1

60 x 10^(-5) = ( 6 ) x 10^(-5)
60 x 10^(-5) = ( 6 x 10^1 ) x 10^(-5)
60 x 10^(-5) = 6 x (10^1 * 10^(-5)
60 x 10^(-5) = 6 x 10^(1+(-5))
60 x 10^(-5) = 6 x 10^(-4)

The final answer is choice A

What are the coordinates of the endpoints of the midsegment for △RST that is parallel TS¯¯¯¯¯ ?

Answers

So here all you have to do is use the midpoint formula: [tex] \frac{x+x}{2} , \frac{y+y}{2} [/tex] and plug-in RS points [tex] \frac{0+8}{2}, \frac{6+0}{2} [/tex]and RT points [tex] \frac{0+2}{2}, \frac{6+0}{2} [/tex]and you will get (1,3) and (4,3).

Answer:

The end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel to TS.

Step-by-step explanation:

We are given that a figure of triangle RTS in which the coordinates of R(0,6) , T(2,0) and S(8,0).

We have to find the end points of midsegment for triangle RST that is parallel TS

Let AB is midsegment where A is the mid point of segment RT and B is the midpoint of segment RS of triangle RST which is parallel to the segment TS.

To find the coordinates of end point of midsegment AB using midpoint formula

Midpoint formula :[tex]x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}[/tex]

The coordinate of A

[tex]x=\frac{0+2}{2}[/tex], [tex]y=\frac{0+6}{2}[/tex]

[tex]x_1=0,x_2=2,y_1=6,y_2=0[/tex]

[tex]x=1,y=3[/tex]

The coordinates of A is (1,3).

The coordinates of mid point B

[tex]x=\frac{0+8}{2},y=\frac{0+6}{2}[/tex]

[tex]x_1=0,y_1=6,x_2=8,y_2=0[/tex]

[tex]x=4,y=3[/tex]

The coordinates of midpoint B is (4,3).

Therefore, the end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel.

How to solve systems of linear equations step by step?

Answers

yr5ty4yuu5yu5yu56hyu46u4t5u46h6

The Griffins and the Corbins live in the same city and pay the same sales tax rate, and both families made $12,000 in taxable purchases last year. If the Griffins made $73,000 and the Corbins made $29,000 last year, is the sales tax in their city an example of a regressive tax?

A.Yes, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
B.No, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
C.No, because the Griffins and the Corbins both paid the same sales tax rate.
D.Yes, because the Griffins and the Corbins both paid the same sales tax rate.

Answers

The answer is A although the sales tax is uniform , since the Corbins made less money so they paid more sales tax from their pocket thats what regressive tax is about.

Answer:

The correct answer is A.

Step-by-step explanation:

A.Yes, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.

Regressive tax is applied uniformly and this causes lower-income people to pay a larger share of their income than rich people. It is not a fair way though it seems to be. Most regressive taxes are not income taxes.

How do you draw a skew line?

Answers

In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron. Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar. Hope this helps!! :)

Plz help! 2 questions!! A machine is wrapping 18 boxes in 5 minutes. If the machine continues at the same rate, how many boxes will it rap in 25 minutes ? A.38 B.90 C.23 D.72

Chris is making lemonade. The directions say to mix 5 cups of water with 2 scoops of powdered lemonade mix. How many cups of water should he use with 2.5 scoops of fruit mix? A.6 B.6.25 C.6.5 D. 6.75

Answers

Question 1:
25 * (18/5) = 90
B

Question 2:
2.5 * (5/2) = 6.25
B

In 5 minutes = 18 boxes
In 1 minute = 18/5 boxes
In 25 minutes = 18/5 x 25 = 90

So correct option is B . 90

2 scoops = 5 cups of water
1 scoop = 5/2 cups of water
2.5 scoop = 5/2 x 2.5 = 6.25

So correct option is B. 6.25

Hope This Helps You!

A color printer prints 24 pages in 7 minutes. how many pages does it print per minute?

Answers

Final answer:

The color printer prints approximately 3.43 pages per minute. This is calculated by dividing the total number of pages (24) by the total printing time in minutes (7).

Explanation:

To calculate the number of pages a color printer prints per minute, we use the information provided that it prints 24 pages in 7 minutes. The calculation is a simple division problem:

Determine the rate by dividing the total number of pages by the total number of minutes.Pages per minute = Total pages printed ÷ Total minutesPages per minute = 24 pages ÷ 7 minutesCalculate the quotient to find the page rate.Pages per minute ≈ 3.43 pages per minute

Therefore, the printer prints approximately 3.43 pages per minute.

The sum of two consecutive even numbers is 38. what is the larger number?

Answers

split it into 2, u get 34.
Since there is only 2 #s we have to use the 2 even #s before and after 34.
so 32 and 36.

Molly has to read for 100 minutes a week. On Monday she read for 20 minutes and on Tuesday she read for 35 minutes. How many more minutes does she have to read this week?
a. 35 minutes
b.40 minutes
c.45 minutes
d.55 minutes
e.65 minutes

Answers

the answer would be d

What is the length of BC¯¯¯¯¯ ?

Enter your answer in the box.

Answers

2x - 24 = x - 2
2x - x = 24 - 2
x = 22

BC = x = 22

Answer: The required length of BC is 22 units.

Step-by-step explanation: We are given to find the length of BC from the figure.

From the figure, we note that ABC is an isosceles triangle, with AC = AB, where

AC = 2x-24, AB = x-2 and BC = x.

Since AC = AB, so we get

[tex]2x-24=x-2\\\\\Rightarrow 2x-x=24-2\\\\\Rightarrow x=22.[/tex]

Therefore, we get

BC = x = 22.

Thus, the required length of BC is 22 units.

Sondra lives in Nebraska and pays 5.5% in sales tax. If she just bought a belt that cost $22, what was the total amount she paid for the belt, including sales tax?

A.$12.10
B.$20.79
C.$34.10
D.$23.21

please help

Answers

5.5% = 0.055

22 * 0.055 = 1.21

22 + 1.21 = 23.21

Answer is D

Answer:

D. $23.21

Step-by-step explanation:

We have been given that Sondra lives in Nebraska and pays 5.5% in sales tax. She just bought a belt that cost $22.

The total amount paid by Sondra for the belt will be equal to cost of belt plus 5.55 of the cost of the belt.

[tex]\text{Total amount paid by Sondra}=\$22+(\frac{5.5}{100}\times \$22)[/tex]

[tex]\text{Total amount paid by Sondra}=\$22+(0.055\times \$22)[/tex]

[tex]\text{Total amount paid by Sondra}=\$22+\$1.21[/tex]

[tex]\text{Total amount paid by Sondra}=\$23.21[/tex]

Therefore, the total amount paid Sondra for belt is $23.21 and option D is the correct choice.

What is the total flow (loads per week) between department y and department z?

Answers

A company needs to locate three departments (X, Y, and Z) in the three areas (I, II, and III) of a new facility. They want to minimize interdepartmental transportation costs, which are expected to be $.50 per load per meter moved. An analyst has prepared the following distances and flow matrices:

Distances (meters):
From/TO I II III
I - 10 20
II - 10
III -

Flows (loads per week:
From/TO I II III
X - 60 90
Y 40 - 160
Z 110 140 -

What is the total flow (loads per week) between department Y and department Z?
E. 300

(1 pt) a commercial cherry grower estimates from past records that if 49 trees are planted per acre, each tree will yield 33 pounds of cherries for a growing season. each additional tree per acre (up to 20) results in a decrease in yield per tree of 1 pound. how many trees per acre should be planted to maximize yield per acre, and what is the maximum yield?

Answers

In order to maximize yield per acre of cherries in a given growing season, the commercial grower should plant no more than 69 trees per acre, for a yield of 32 pounds per tree, and a maximum yield of 2208 pounds per acre.

Which statement is true about the graphs of the two lines y = x + 2 and y = x ?

The lines are perpendicular to each other because and are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and are opposite reciprocals of each other.
The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other.

Answers

it will be negative x on the 2

The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other

How do you solve 18b2c-12ab3+30ab?

Answers

[tex]6b(3\times 2c - 2a \times 3 + 5a) \\ \\ 6b(6c - 6a + 5a) \\ \\ 6b(6c - a)[/tex]

18b²c - 12ab³ + 30ab

We're simply just trying to factor this out.

So : What goes into ALL of these numbers?

6 does! :)

So, divide everything by 6.

6(3b²c - 2ab³ + 5ab)

Now, what else goes into these numbers/variables? :)

b does! So, simply factor out b.

6b(3bc - 2ab² + 5a)
----------------------------

To check if this is correct, simplify this & see if it is the same as our original equation.

(6b · 3bc) + (6b · -2ab²) + (6b · 5a)

Simplify.

(18b²c) + (-12ab³) + (30a)

Get rid of the parenthesis.

18b²c - 12ab³ + 30a = 10b²c - 12ab³ + 30ab (Our original equation)

Therefore, 6b(3bc - 2ab² + 5a) is our correct answer.

~Hope I helped!~

Students were asked to choose their favorite cafeteria lunch. The results were: pizza, chicken, chicken, taco, taco, pizza, taco, taco, taco, pizza, pizza, burger, burger, pizza and pizza. Which category had the greatest frequency?

Answers

Pizza- 6, Chicken- 2, Taco- 5, Burger- 2. Pizza should be your answer.

A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions answered correctly? A. 82:50 B. 25:50 C. 59:50 D. 41:50

Answers

The answer is D 41:50

The correct answer is D) because he got an 82/100 and if you divide that in half to simplify it would be 41:50

Can someone please clearly explain and workout Q5? Much appreciated

Answers

We have the formula:
s = ½ (u + v) * t and we are told
u = 18 v = 14 and t = 100 so, we put those into the formula:

s = ½ (18 + 14) * 100
s = ½ (32) * 100
s = ½ * 3,200
s = 1,600

What is the volume in cubic feet of a greenhouse that is 20 feet long, 15 ft wide, and 10 ft high?

Answers

20x15x10=3000. The answer should be 3000 cubic feet.

How do you write 760% as a fraction, mixed number, or whole number in simplest form?

Answers

760% would be written as 7 3/5 as a fraction in simplest form

Which of the following points lie in the solution set to the following system of inequalities?

y > −3x + 3
y > x + 2
choices:
(2, −5)
(−2, 5)
(2, 5)
(−2, −5)

Answers

(2,5)
5 needs to be positive

reasons the others dont work:
(2,-5) negative
(-2,5) Oof, missed by 2, but the -3 slope works wonders.
(-2,-5) needs to be positive

What is the definition of principal square root in math?

Answers

A square root of a number a is a number y such that y2 = a; in other words, a number y whose square (the result of multiplying the number by itself, or y⋅y) is a.[1] For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16. Every nonnegative real number a has a unique nonnegative square root, called the principal square root, which is denoted by √a, where √ is called the radical sign or radix. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 • 3 = 9 and 3 is nonnegative. The term whose root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this example 9.

Final answer:

The principal square root in math refers to the positive square root of a number. It is denoted as √x and is applicable to non-negative numbers.

Explanation:

The principal square root in math refers to the positive square root of a number. It is denoted as √x, where x is a non-negative number.

For example, the principal square root of 25 is √25 = 5 because 5 multiplied by itself equals 25.

The principal square root is only applicable to non-negative numbers, while negative numbers have no real square roots.

Tony misplaced 777 stamps from his collection. He knows that each stamp of his is worth \$0.15$0.15dollar sign, 0, point, 15 and that the total value of them is now only \$5.55$5.55dollar sign, 5, point, 55.

Answers

There is no question being asked. If the answer needed is how many stamps does he have left take the total value and divide by the worth of each stamp. 5.55/0.15 = 37

Write an equation to represent the value of his stamp collection in terms of the number of stamps, s, that he had originally, and find the value of s.

Tony misplaced 7 stamps

Each stamp worth = $0.15

Total value of stamp now = $5.55

Let the number of stamps be 's'

Number of stamps now = s - 7 (misplaced 7 stamps)

price (number of stamps now ) = 0.55

0.15 (s - 7) = 5.55

Divide by 0.15 on both sides

s - 7 = 37

Add 7 on both sides

s = 44

Total number of stamps originally he had = 44 stamps

How can you describe the solution set of the equation 16x2 - 8x + 1 = 0?

Answers

There is one real solution because the expression’s factors are the same. Hope this helps.

Hello,

There is one real solution because the expression’s factors are the same.

Write a two column proof for the following conjecture. Statements and reasons
Given: parallelogram ABCD
Prove:
The image is a rhombus, the left side from top to bottom point is D and C. From the right side is A and B.

Answers

Information is given(reasons are in the parenthesis)

Angle A and angle B are supplementary. Angle B and Angle C are supplementary (given)

DC is parallel to AB (consecutive interior angles are supplementary )
BC is parallel to AD (consecutive interior angles are supplementary)

ABCD is a parallelogram (definition of parallelogram, has to pairs of parallel sides)

find the slope of a line whose equation is 3X+6Y=9

Answers

To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.

3x + 6y = 9

6y = -3x + 9

Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.

y = -1/2x + 3/2

Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).

Hope this helps!

The flu fighters competed against 40 brands in the chicken soup country battle of the bands. The top 15% will complete in the all virus state finals. How many bands will compete in the finals?

Answers

41 times 0.15 equals 6.15.

As you can't have 0.15 of a band, that means only 6 bands will compete.

Hope this is right. :)

Answer: 6 brands will compete in the finals.

Step-by-step explanation:

Given : The flu fighters competed against 40 brands in the chicken soup country battle of the bands.

i.e. The total number of brands = 40

Also, the top 15% will complete in the all virus state finals.

[ We can write 15% as [tex]\dfrac{15}{100}=0.15[/tex] ]

It implies , the number of brands will compete in the finals is given by :-

[tex]0.15\times40=6[/tex]

Therefore, 6 brands will compete in the finals.

1. Which ordered pairs are a solution to the equation?

y = 3x - 4

options:

(4,2)

(1, -1)

(-1, -7)

(2, 2)
2.Which ordered pairs are a solution to the equation?

y = 4 - 2x
options:

(-1,2)

(0,4)

(-1,6)

(1,6)

Answers

For the first question the answer is (2,2) and for the second question the answer is (0,4)

Find the quotient.

22x ^2 y ^2 ÷ 11x ^2 y ^2

0
1/2
2
2xy

Answers

22x^2 y^2 ÷ 11x^2 y^2

2x^4 y^4

Solve the equation for x. Round your answer to the nearest hundredth.

0.63 = log x

Answers

10^0.63 = x
x=4.27 to the nearest hundredth

The value of x is:

4.27

Step-by-step explanation:

We have to solve:

logx=0.63

Taking antilog on both sides,we get

x= [tex]10^{0.63}[/tex]

⇒ x=4.2657

Hence, the value of x is:

4.27

Other Questions