A board 14 1/4 inches long is cut from a board that is 4 feet long. If the width of the saw cut is 1/8 inch, what is the length of the remaining piece?

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information;

since;

1 feet = 12 inches long

Then, 4 feet = (4 × 12)inches long

= 48 inches long

Thus, the length of the remaining piece is calculated as follows:

Length of remaining piece = Total length of piece - (piece that was being cut + width )

[tex]= 48 - (14 \dfrac{1}{4}+ \dfrac{1}{8})[/tex]

[tex]= 48 - ( \dfrac{57}{4}+ \dfrac{1}{8})[/tex]

[tex]= 48 - ( \dfrac{114+1}{8})[/tex]

[tex]= 48 - ( \dfrac{115}{8})[/tex]

[tex]= \dfrac{269}{8}[/tex] inches


Related Questions

A baby carriage that is carrying twins is sitting at the top of a knoll that is 21 m high. The carriage with the babies are 48kg. What is the Potential Energy of the twins and the carriage?

Answers

Answer:

The Potential Energy of the twins and the carriage is 9878.4 J.

Step-by-step explanation:

Given;

height of the knoll above the ground level, h = 21 m

mass of the carriage with the babies, m = 48 kg

The potential Energy of the twins and the carriage is given by;

P.E = mgh

where;

g is the acceleration due to gravity = 9.8 m/s²

Substitute the givens;

P.E = (48)(9.8)(21)

P.E = 9878.4 J

Therefore, the Potential Energy of the twins and the carriage is 9878.4 J.

Ashe feels she needs $45,000 per year in retirement. If she receives $2,500 a month from Social Security, at what interest rate must Asha invest her $250,000 of savings for her income to be AT LEAST $45,000 per year? PLEASE HURRYYY

Answers

Answer:

15,000 from her savings

Step-by-step explanation:2,500*12=30,000  45000-30,000=15,000

The length of a bridge is 1.5 cm.Whet is the actual length of the bridge in meters if the map is drawn at a scale of 1:40000

Answers

Answer:

800

Step-by-step explanation:

1:5 and 1:40000

40000/5 is 800

Actual length is 800.

Hope this helps :D

A graphic designer worked 20 hours last week. Their hourly rate is 19.52 per hour. How much money did they make last week before taxes

Answers

Answer:

20 * 19.52 = 390.40

Thank you and please rate me as brainliest as it will help me to level up

What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch.

A triangle has a base of 16 inches and a height of 16 inches.

_____ in²

Answers

Answer:

I believe the answer is the triangle has an area of 256 inches. I may be wrong though.

Step-by-step explanation:

Answer:

128  in²   but only type 128 to complete the answer

Step-by-step explanation:

(02.02)
A rotation is shown in the drawing
Figure
Figure K
Which statement best describes the rotation? (4 points)
Clockwise 90-degree rotation
Clockwise 180-degree rotation
Counterclockwise 90-degree rotation
Counterclockwise 180-degree rotation

Answers

clockwise 180 degree rotation

You have won the state lottery. There are two ways in which you can receive your prize. You can either have $1 million in cash now, or you can have $1.2 million that is paid out as follows: $300,000 now, $300,000 in one year’s time, $300,000 in two years’ time, and $300,000 in three years’ time. The interest rate is 20%. The present value of the payments over three years is:

Answers

Answer:

pv=z/(1+R)^N

Step-by-step explanation:

I hope this helps!!!

The present value of the payments over three years is $1600000.

Given that, the prize of lottery money is $1 million.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Now, P=$1,000,000, R=20% and T=3 years

So, S.I. = (1,000,000 × 20 × 3)/100

= 600000

Amount = 1,000,000+600000

= $1600000

Therefore, the present value of the payments over three years is $1600000.

To learn more about the simple interest visit:

https://brainly.com/question/25845758.

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Arthur tells you that he is thinking of an irrational number between 4 and 5, and he wants you to guess what it is. One possibility you could guess is _____.

Answers

Answer:

An example of an irrational number between 4 and 5 is √20 which is simply 2√5

Step-by-step explanation:

Here, we want to look for an irrational number between 4 and 5

Mathematically, irrational numbers can be represented as a sure

So in this case , a value of this between 4 and 5 is √20 which can be written as 2√5

Answer: ^(20)

Step-by-step explanation:

The square route of ^(20) is, 4.472135954999579; that is between 4 and 5

A carnival charges $5 to get in, plus $2 per ride. Which equation represents the relationship between the number of carnival rides a person rides x and the cost of attending the carnival y.
x= 2x+5


y= 2x-5


y= 2x+5


y= 5-2x

Answers

Answer: y= 2x+5

Step-by-step explanation:

What is the remainder after you divide 7*7*7... 124 times by 4

Answers

Answer:

1

Step-by-step explanation:

Remainder if 7*7*7... 124 times is divided by 4

The remainder when (7^124) / 4

Using python console:

a = 7**124

b = 4

c = a%b

print(c)

Output = 1

Hence, the remainder when 7^124 is divided by 4 is 1

Please answer this simple math question(CLICK TO SEE PICTURE) ITS MULTIPLE CHOICE. Answers are not exact! (it's not the one I chose) TY!

Answers

The one worth $10 because it’s the most reasonable estimate,

If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.

Answers

Answer:

[tex](7,-11)[/tex]

Step-by-step explanation:

Given

[tex]S = (1,5)[/tex]

[tex]M = (4,-3)[/tex]

Required

Determine the coordinates of T

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]

Where:

[tex](x,y) = (4,-3)[/tex]

[tex](x_1,y_1) = (1,5)[/tex]

Substitute these values in the above formula:

[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]

Multiply through by 2

[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]

[tex](8,-6) = (1 + x_2,5+y_2)[/tex]

By direct comparison:

[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]

Solving for x2

[tex]1 + x_2 = 8[/tex]

[tex]x_2 = 8 - 1[/tex]

[tex]x_2 = 7[/tex]

Solving for y2

[tex]5 + y_2 = -6[/tex]

[tex]y_2 = -6 - 5[/tex]

[tex]y_2 = -11[/tex]

Hence, the coordinates of T is: [tex](7,-11)[/tex]

Someone help me out with this

Answers

Answer: x = 10

Explanation: The bottom left angle is 90 degrees because of the symbol. ( Make sure you know this for future problems.) The whole triangle needs to add up to 180. This isn’t the right way to solve this kind of problem but I know how to solve it using this way and I know the at 10 is the right answer. The other two angles need to add up to 90 because 90 + 90 = 180. So basically I just substituted the same number into x until I added both outcomes and got 90. I hope you understand that cause I don’t really know how to explain it well. Let me try and show you.

3(x)+5 6(x)-5

Now you have to plug in the same number for x until both numbers add to ninety.

3(5)+5 6(5)-5.

( 5 isn’t the right number for x this is just an example. )

You end up with 20 for the first one, and 25 for the second one. 20 + 25 = 45 and 90 + 45 is only 135. So this means that 5 isn’t the right answer and you need to substitute a higher number in for x.

3(10)+5 6(10)-5

( This is the right setup. )

You end up with 35 for the first one and 55 for the second one after you distribute and solve. Now you have 35 and 55. 35 + 55 = 90 and 90 + 90 = 180. This is how you know that you are right. I hope this helps. :)

The following table shows the distance from school as a function of time:


Time (in minutes)
x Distance (in meters)
f(x)
0 36
3 32
6 28
9 24
12 20


Find and interpret the meaning of the x‐intercept in this scenario.
(36, 0); the distance away from the school
(27, 0); the time it takes to reach the school
(36, 0); the time it takes to reach the school
(27, 0); the distance away from the school

Answers

Answer:

c

Step-by-step explanation:

It shows that The x intercept values are under the time label

Answer:

C

Step-by-step explanation:

An elevator is on Level 3, which is 45.25 meters
above the ground. It travels to the basement
level, which is 10.42 meters underground.
What is the total distance, in meters, that the
elevator traveled?
Enter your answer as a decimal in the box.

Answers

Answer:

55.67 m

Step-by-step explanation:

You just add the two numbers to get the total distance traveled.

Help urgently for brainliest

Answers

Answer: X= 10 buddy, tilt the triangle and it obvious.

Don't know wut dey meen by simplify but its 10.

Find the missing side lengths leave your answers as radicals

Answers

Answer:

Step-by-step explanation:

n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)

to find m:

20^2 + 20^2 = m^2

400 + 400 = m^2

800 = m^2

m = square root(800)

m = square root(400)xsquare root(2)

m = 20square root(2)

There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail

Answers

Answer: theres really no question here

Step-by-step explanation:

pls pls help it closes in 40 minutes pls tell me how you got your answers ty
picture included

Answers

Step-by-step explanation:

u just have to draw a graph nd start at -2 which goes down -2 twice then go up 4 over 1 nd u just connect the lines nd find the slope of the lines that's how I learned it

Answer:

Hi, I'm not sure how to answer number 1 or 2 but here are my answers for 3-6

Step-by-step explanation:

3) 2

My work: y+3=2(x-2)

                y+3=2x-4

                 y=2x-7

4) (2,25)

My work:

y-1=3(x+6)y-1=3x+18y=3x+19y=3(2)+19y=6+19y=25(2,25)

5) 1/8

6) -7

Wich expression uses the commutative property to make it easier to evaluate 3/5÷1/4÷25 A 3/5 ÷ 25 ÷1/4 B 25÷4÷3/5 C 5/3 ÷25 ÷1/4 D 3/5 ÷ 1/25 ÷1/4​

Answers

Answer:

A

Step-by-step explanation:

Which angle measurements can form triangle ABC? Select all that apply.
m∠A = 40°, m∠B = 75°, m∠C = 65°
m∠A = 136°, m∠B = 28°, m∠C = 16°
m∠A = 57°, m∠B = 58°, m∠C = 63°
m∠A = 90°, m∠B = 35°, m∠C = 35°
m∠A = 60°, m∠B = 60°, m∠C = 60°

Answers

Answer:

A) m∠A = 40°, m∠B = 75°, m∠C = 65°

B) m∠A = 136°, m∠B = 28°, m∠C = 16°

E) m∠A = 60°, m∠B = 60°, m∠C = 60°

Step-by-step explanation:

edge

The angle measurements that can form triangle ABC are

m∠A = 40°, m∠B = 75°, m∠C = 65°m∠A = 136°, m∠B = 28°, m∠C = 16°m∠A = 60°, m∠B = 60°, m∠C = 60°

How to determine the angle measurements?

The angle measurements that can form a triangle must add up to 180 degrees.

i.e. a + b + c = 180

Using the above formula, we have:

40 + 75 + 65 = 180

136 + 28 + 16 = 180

60 + 60 + 60 = 180

Other angles do not add up to 180.

Hence, the angle measurements that can form triangle ABC are

m∠A = 40°, m∠B = 75°, m∠C = 65°m∠A = 136°, m∠B = 28°, m∠C = 16°m∠A = 60°, m∠B = 60°, m∠C = 60°

Read more about triangles at:

https://brainly.com/question/2217700

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sisktzkyzktRkzkKKRpyxdypzoyzitzotkg​

Answers

(Y2-y1)/(x2-x1) = gradient
Pick two points: (2,6), (4,8)
(8-6)/(4-2) = 2/2 = 1
The gradient is 1

how many squares do I have to draw in(10 x 10 grid) for the percentage of 57.74%??

Answers

Answer:

There is obviously only 1 10x10 square. If we start with a 9x9 square in the top left corner, we can move it down 1, across 1 and back up 1, so there are 4 possible 9x9 squares.

For 8x8 we can move down 1, then 2 and we can move across 1 or 2 so that's 9 possible 8x8 squares.

For 7x7 we can go down 3 and across 3, so that's 4x4=16 possible squares.

The pattern is now clear the total number if squares is 1+4+9+16+…+100.

There's a formula for this, which I had to look up, but any the sum of the first n squared is 1/6n(n+1)(2n+1)1/6n(n+1)(2n+1), so the total number of squares is 10x11x21/6=5x11x7=385.

Raul makes aluminum poles in the shape of rectangular prisms. If he removes the covers on both
ends, he can lower his cost per pole. How much aluminum in square feet will Raul save per pole if he
chooses to remove the covers at the ends of the poles? Use the given figures.

Answers

Step-by-step explanation:

2feet

feet

feet

feet

feet

feet

feet

2

2

2

2

2

2

EXPONENTIAL FUNCTION
Evaluate the following:
1.) 2^-3
2.) 5^-3
3.)6^-6
4.) (5/2)^-2
5.) (7/3)^-3

Answers

Divide by negative = 1/x^|exponent|
1) 1/2^3 = 0.125
2) 1/5^3 = 0.008
3. 1/6^6 = 2.143
4. 1/(5/2)^2 = 0.16
5. 1/(7/3)^3 = 0.079

Can someone please help me and tell me if this is correct or no I’ll give brainliest
Please be honest

Answers

Answer: B

Step-by-step explanation: i googled it

Which of the following expressions are equivalent to -1/2 ?

Answers

Answer:

there are no other expressions....

Step-by-step explanation:

Ima be doing this for the whole form sorry I’m failing math

Answers

Slope (m) = y/x = -3/2 = -1.5

Answer:

4,0 2,3 ans solutions this may help

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Answers

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

  quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

  x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.

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