If a board 8 ¾ ft. long is cut into 7 equal parts, how long is each part?

Answers

Answer 1

Answer:

26 5/32 in. or 2 ft

Step-by-step explanation:

Since we are taking into account 1/8in for each saw cut the total length of the 4 pieces of wood will be 3/8in less than the single long piece (3 cuts * 1/8).

Let's first convert the piece of wood to inches:

8 3/4ft = 8.75ft

8.75 ft *(12in./1ft) => 8.75 *12= 105 inches

Now we can subtract the 3/8in that will be lost from making 3 cuts:

105in. - 3/8in. = 104 5/8in.

So the total length of the 4 pieces of wood will be 104 5/8in.

Therefore, each piece will be (104 5/8in)/4 in length.

First let's convert 104 5/8in. to an improper fraction to make it easier to work with:

104 5/8in. = (104*8 + 5)/8in.

=837/8in.

Now we can divide this by 4 to get the length of each piece of wood:

(837/8in.)/4 is the same as (837/8in.)*(1/4)

Multiply numerators together, and multiply the denominators together:

(837/8in.)*(1/4) = 837/32in.

Convert back to a mixed number if needed:

837/32in.= 26 5/32in. or 2ft, 2 5/32in.


Related Questions

Explain the difference in meaning between 10 x 4 + 5 and 10 x (4 + 5)

Answers

Answer:

10x4+5

40+5

45

10x(4+5)

10x(9)

90

Step-by-step explanation:

Answer:

-

Step-by-step explanation:

10 x 4 + 5 means that you multiply first, then add as per PEMDAS

10 x (4 +5) means that you add first, then multiply.

6 ( − 2.1 x − 2 ) + ( 7 x + 5 )

Answers

Answer: −5.6x −7

Step-by-step explanation:

what is 10/3 divided by 2/3

Answers

Answer:5

Step-by-step explanation:

2+2=FISH????????????? XD

Answers

Answer:

correct answer is 4 fish

Step-by-step explanation:

4 is the perfect number

Answer:

Yes

Step-by-step explanation:

Here is an ugly drawing of it......

Given f(x)=2^x and g(x)=f(x-3)+4, write the new function rule (equation) for function g and describe (using words*) the two transformations that occur between function f and function g.

Answers

Answer:

The first thing we do is find out what f(x-3) is[tex]f(x)=2^x\\f(x-3)=2^{x-3}[/tex] this is can be simplified using the rules of exponents[tex]f(x-3)=2^{x-3}\\f(x-3)=2^x\div2^3\\f(x-3)=\frac{2^{x}}{8}[/tex] Then we put that into g(x) [tex]g(x)=f(x-3)+4\\g(x)=\frac{2^{x}}{8}+4[/tex] The first transformation is at f(x), where it is divided by 8, and then inserted into g(x) which increases the new transformed f(x) by 4

the slope of the line whose equation is x+y=6​

Answers

It would be or come up as -1

A construction company bought 5/6 of a pound of sand and mixed it with 2 2/3 pounds of cement. A construction worker used 1 1/3 pounds of the mixture. How much of the mixture is left?


Help me please! I also need proof you are right in the explanation!

Answers

It’s easier than you think, just don’t overthink it. You’re fine.
I think I’m right, but here;
5/6 + 2-2/3 = 3 1/2
Then you subtract how much the person used,
2-2/3 - 1-1/3 = 1 - 1/3 or 1.3333333 (repeated)

I think. It came out as a repeated decimal, but I just put it in fraction form.

I hope this helped :]

Let’s say you go to the store and you want to buy cheese and you find out for 1 pound it’s $3.10 and you buy 2.3 pounds. What is the cost?

Answers

$7.13 hope this helps

8.16, 0.96, 8.24, 8.123 in order

Answers

Answer:

0.96, 8.123 ,8.16, 8.24

Step-by-step explanation:

Plz help. Write an equation of the line
y=mx+b format

Answers

y=1x-2 should be it. from point a to point b it’s down 8 right 8. 8/8=1. then -2 is your b.
Okay. If we were writing this in y=mx+b, we know that m is the slope and b is the y-intercept.

On the graph, we can see that the line crosses the -2 on the y-axis. So, -2 is the y-intercept(b).

The rise over run is 8 down/up and 8 across.

So your answer should be y=-1x-2. Since the line is going down, the slope is negative.

Hope this helps!

On roller-skates, Ian can travel 3/4 of a mile in 5 minutes. On his bike, he can travel 3 1/2 miles in 12 minutes. How fast, in miles per hour, can Ian travel on roller skates and on his bike?

Answers

Answer:

Roller skates speed = 9 miles per hour

Bike speed = 17.5 miles per hour

Step-by-step explanation:

On roller-skates, Ian can travel 3/4 of a mile in 5 minutes.

Speed = Distance(miles)/Time(hours)

Convert 5 minutes to hour

60 minutes = 1 hour

5 minutes = 5/60

= 1/12 hour

Hence, his speed =

3/4mile ÷ 1/12

= 3/4 × 12/1

= 9 miles per hour

On his bike, he can travel 3 1/2 miles in 12 minutes.

Convert 12 minutes to hour

60 minutes = 1 hour

12 minutes = 12/60 = 1/5

Hence, his speed =

3 1/2 mile ÷ 1/5

= 7/2 ÷ 1/5

= 7/2 × 5/1

= 35/2 miles per hour

= 17.5 miles per hour

Jose earns $3680 per month, of which 22% is taken out of his paycheck for federal and state income taxes and other required deductions. Last month he spent $755 for rent and $86.12 for clothing. What percent of his take-home pay did he spend on rent and clothing combined?

Answers

Answer:

29.30%

Step-by-step explanation:

Total Monthly earnings of Jose = $3680

22% is paid for federal and state income taxes and other deductions.

Take-home salary for Jose is total earnings minus the taxes and deductions.

Take-home salary = $3680 - 22% of $3680

Take-home salary = $3680 - $809.6 = $2870.4

Money spent on rent = $755

Money spent on clothing = $86.12

Money spent on rent and clothing combined = $841.12

Percentage of a quantity is given as the quantity divided by the total quantity multiplied with 100.

Therefore,

Percentage of take-home pay spent on rent and clothing:

[tex]\dfrac{841.12}{2870.4}\times 100 = \bold{29.30\%}[/tex]

Suppose you want to prove the converse of the Pythagorean Theorem by drawing two triangles. If
one of the triangles has side lengths of m, n, and p, such that m² + n2 = pº what should
be the lengths of the sides that form a 90-degree angle in the second triangle?
А
m and n
B
m and p
С
n and p
D
p and p

Answers

Answer:

a

Step-by-step explanation:

The sides of the right angle that form 90° will be 'm' and 'n'. Then the correct option is A.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

"In the event that the square of a side is equivalent to the amount of the square of the other different sides, then triangle should be correct point triangle".

The Pythagoras theorem formula is given as

H² = P² + B²

Assume you need to demonstrate the opposite of the Pythagorean Hypothesis by drawing two triangles.

If one of the triangles has side lengths of m, n, and p, such that m² + n² = p².

Then the sides of the right angle form 90° will be 'm' and 'n'. Then the correct option is A.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

pretty easy! help pls!

Answers

Answer:

ok C

Step-by-step explanation:

Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y=1/5x-6

Answers

Answer:

C I think

Step-by-step explanation:

Answer:x - 5y = 30Hope this helps!!

Four friends go to the movies.Each movie ticket costs $8.They buy 2 tubs of popcorn for $6 each.They also buy a box of candy to share for $4.They friends want to split the total cost evenly.How much does each friend owe?

Answers

Answer:

$ 4 i believe

Step-by-step explanation:

Answer:

Each friend owes 12 Dollars

Step-by-step explanation:

After adding all the cost up, the total cost was 48. And 48 divided by four is 12.

If y = -5x - 8, choose all the solutions.

Answers

Can we see the whole question

in the diagram <4 = <40 °. Find the measure of <3 = (?)°​

Answers

Answer:

∠3=140°

Step-by-step explanation:

∠4 = 40°

∠3 + ∠4 = 180° (co-exterior angles are equal)

∠3 + 40° = 180°

∠3 = 180° - 40°

∠3 = 140°

                                                [tex]or^{}[/tex]          

                                               

∠2 = ∠4 = 40° (corresponding angles)

∠3 + ∠2 = 180° (linear pair)

∠3 + 40° = 180°

∠3 = 180° - 40°

∠3 = 140°

hope you understood

Triangle MNO is dilated using a scale factor of 3 with the origin as the center of dilation.
What are the coordinates of point N in the dilated image?
A. (7,9)
B. (9,7)
C. (12, 18)
D. (18,12)

Answers

Answer: a

Step-by-step explanation:

I say a because I know it’s a

Given the function f(x) = x^2, which of the following represents a vertical shift of 3 units up?

Answers

9514 1404 393

Answer:

  f(x) = x² +3

Step-by-step explanation:

The transformation

  g(x) = a·f((x -c)/b) +d

represents a vertical expansion by a factor of 'a', a horizontal expansion by a factor of 'b' (before the horizontal shift), a horizontal (right) shift by 'c' units, and an upward shift by 'd' units.

You want only an upward shift of 3, so ...

  g(x) = f(x) +3

For f(x) = x^2, the shifted function is ...

  f(x) = x^2 +3

__

Other choices are ...

  b. (x -3)^2 = right shift by 3

  c. 3x^2 = vertical expansion by a factor of 3

  d. (x +3)^2 = left shift by 3

how to find 18% of 3000​

Answers

Answer:

the answer is 540

Step-by-step explanation:

Hope this helps, have a good day

it’s 540

you multiple 0.18 by 3000
.18 x 3000 = 540

Solve 126 = 14x
*Only enter the number for what x = in the box*

Answers

Answer:

x = 9

Step-by-step explanation:

divide both sides by 14

Answer: x = 9.

Step-by-step explanation: Step 1: Flip the equation.

14x=126

Step 2: Divide both sides by 14.

14x /14

=

126 /14

x=9

Without graphing, determine whether the function represents exponential growth or exponential decay. Then find the y-intercept.


A. Exponential growth; 4
B. Exponential decay; 4
C. Exponential growth; 0
D. Exponential decay; 5

I will give brainliest to the correct answer!

Answers

Answer:

Exponential decay; 4

Step-by-step explanation:

This represents exponential decay, because the number which is being raised to the power x is less than one. This means that as x increases, y decreases.

The y-intercept occurs when x is equal to zero. When x = 0, we have [tex]y = 4(5/6)^0 = 4(1) = 4[/tex], so the y-intercept is 4.

Answer:

Now you can give the other person brainliest

Amaya is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.


Starting balance of $97.13
Spent $63.27 at Food Lion
Deposit from work of $415.80
Lunch at Tropical Smoothie for $12.85
Withdrawal of cash at the ATM of $60.00

If reconciled, her bank statement and personal records should have current balance of $

Answers

Answer:

376.81

Step-by-step explanation: 376.81

The local newspaper has letters to the editor from 80 people. If this number represents 4percent of the newspaper's readers, how many does the newspaper have?

Answers

Answer:

2000 newspaper readers

Step-by-step explanation:

Let the total number did newspaper readers the local news paper has be represented by x

Therefore,

4% of x = 80 people

Hence,

4/100 × x = 80

4x/100 = 80

Cross Multiply

4x = 100 × 80

4x = 8000

x = 8000/4

x = 2000 people

Therefore, the number of people the newspaper has is 2000 newspaper readers

5. Find the value of x. *
2 points
95
150
470
250
70
85

Answers

Answer:

Looking for an answer for this one

Step-by-step explanation:

Write the equation of a line with a slope of 3 and a y-intercept of 4. Do not use spaces in your response

Answers

Answer:

y=3x+4

Step-by-step explanation:

it's in slope intercept form

PLEASE HELP 20 PTS i need it quick!

Answers

Answer:

B. 6 + 0.2x

Step-by-step explanation:

One fifth = 1/5 = 0.2One fifth of x = 0.2xSum of 6 and one fifth of x = 6 + 0.2x

I hope this helps!

Answer:

I think it is C

Step-by-step explanation:

if I am wrong I am soooo sorry

Three friends said their heights were 5 and start fraction 13 over 30 end fraction feet, 5 and one-sixth feet, and 5 and start fraction 68 over 90 end fraction feet. Put the heights of the friends in order from least to greatest. A. 5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction < 5 and one-sixth B. 5 and start fraction 13 over 30 end fraction <5 and one-sixth <5 and start fraction 68 over 90 end fraction C. 5 and one-sixth <5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction D. 5 and one-sixth <5 and start fraction 13 over 30 end fraction< 5 and start fraction 68 over 90 end fraction

Answers

Answer:

[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]

Step-by-step explanation:

Represent the friends with A, B and C

[tex]A = 5\frac{13}{30}[/tex]

[tex]B = 5\frac{1}{6}[/tex]

[tex]C = 5\frac{68}{90}[/tex]

Required

Order from least to highest

First, we convert the given parameters to decimal

[tex]A = 5\frac{13}{30}[/tex]

[tex]A = 5 + \frac{13}{30}[/tex]

[tex]A = 5 + 0.43[/tex]

[tex]A = 5.43[/tex]

[tex]B = 5\frac{1}{6}[/tex]

[tex]B = 5 + \frac{1}{6}[/tex]

[tex]B = 5 + 0.17[/tex]

[tex]B = 5.17[/tex]

[tex]C = 5\frac{68}{90}[/tex]

[tex]C = 5 + \frac{68}{90}[/tex]

[tex]C = 5 + 0.76[/tex]

[tex]C = 5.76[/tex]

So, we have:

[tex]A = 5.43[/tex]      [tex]B = 5.17[/tex]      [tex]C = 5.76[/tex]

Order from least to greatest

[tex]B = 5.17[/tex]       [tex]A = 5.43[/tex]          [tex]C = 5.76[/tex]

Replace them with the original values

[tex]B = 5\frac{1}{6}[/tex]       [tex]A = 5\frac{13}{30}[/tex]      [tex]C = 5\frac{68}{90}[/tex]

Hence, the correct order is:

[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]

Answer:

The answer is 5235 5521 2356

Step-by-step explanation:

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.
> The rule for the translation can be written as T–5, 3(x, y).
>The rule for the translation can be written as T3, –5(x, y).
>The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
>The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
>Triangle ABC has been translated 3 units to the right and 5 units down.

Answers

Answer:

Option (2) and Option (5)

Step-by-step explanation:

Blue triangle ABC has been translated to form the image triangle A'B'C' (in red).

Let take a point A of ΔABC,

Coordinates of point A → (-1, 3)

Coordinates of point A' → (2, -2)

Rule for the translation will be,

A(-1, 3) → A'(2, -2)

A(-1, 3) → A'(-1 + 3, 3 - 5)

A(x, y) → A'(x + 3, y - 5)

[tex]T_{3, -5}(x, y)[/tex]

ΔABC has been translated 3 units to the right and 5 units down.

Therefore, Option (2) and Option (5) will be the correct options.

Answer:

B and E

Step-by-step explanation:

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