Gina needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 1/2 feet from one end of the board. She then cuts the remaining section of board into 3 equal pieces.

Which equation can be used to determine the the length of each equal piece?

Gina Needs To Cut A Board To Use For A Project. The Board Is 10 Feet Long. She First Has To Cut Off 1

Answers

Answer 1

Answer:

3x+1 1/2=10

Step-by-step explanation:

k12

Answer 2

The solution is Option B.

The equation used to determine the length of each piece of board is given by 3x + 1 1/2 = 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total length of the board Gina has is = 10 feet

The first piece of length cut from the board is = 1 1/2 feet

So , the remaining piece of board = total length of the board Gina has - length cut from the board

And the equation is

The remaining piece of board = 10 - 1 1/2

Let the remaining piece of board be A

The remaining piece of board is cut into 3 equal pieces

Let the one remaining piece of board be = x

So , the three remaining pieces of board = 3x

Now , the equation will be

The remaining 3 pieces of board 3x =  remaining piece of board

So , substituting the values in the equation , we get

3x = 10 - 1 1/2

Adding 1 1/2 on both sides of the equation , we get

3x + 1 1/2 = 10

Therefore , the equation is 3x + 1 1/2 = 10

To learn more about equations click :

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Related Questions

At this rate how many min. Does it take Ben to run 2 miles, swim 2 miles, and bike 2 miles

Answers

Run : 2 miles in half an hour or 30 mins
Swim : 2 miles in a third of an hour or 20 mins
Bike : 2 miles in an eight of an hour or 7.5 mins

A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?


The building is meters tall.

Answers

Answer: The building is 35 meters tall.

Step-by-step explanation:

420 divided by 24 is 17.5  

17.5 x 2 is 35

(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)

The teachers had to transport 165 students by bus on a field trip. Each bus holds 64 students. How many buses do they need to order?

Answers

Answer:

B

Step-by-step explanation:

Divide the number of students by the capacity of each bus

. 165 / 64 = 2 (busses) + 37/64 (remainder)

given:

165 students

each bus= 64 students

to find:

how many buses they need to order in order to take 165 students.

solution:

[tex] \frac{165}{64} [/tex]

[tex] = 2.578125[/tex]

[tex] = 2 \frac{37}{64} [/tex]

hence, the correct answer is option B.

What are the roots of the function f(x) = x2 + 2x – 1? a. x = ± √ _ 2 b. x = − 1 ± √ _ 2 c. x = 2 ± √ _ 2 d. x = 1 ± √ _ 2

Answers

Step-by-step explanation:

Root of the function, where y = 0

f(x) = x² + 2x - 1

0 = x² + 2x - 1

x² + 2x - 1 = 0

x² + 2x = 1

x² + 2x + 1 = 1 + 1

(x + 1)² = 2

x + 1 = ±√2

x = -1 ± √2

Roots → x = -1 ± √2

The difference of one half a number x and 3 is 14

Answers

Answer:

x = 36

Step-by-step explanation:

You can write this equation to represent this problem:

[tex]\frac{1}{2}x-3=14[/tex]

Then, just solve for x:

[tex]\frac{1}{2}x=14+3\\\frac{1}{2}x=17\\x=36[/tex]

ill give brainlist again! :( help?

Answers

Answer:

3769.91 cm³

Step-by-step explanation:

For Small Cylinder:

Volume = height × π × r²

Volume = 12 cm × π × 10² cm

Volume = 3769.91  cm³

For Large Cylinder:

Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.

Volume = (height × 2) × π × (r × 2)²

Volume = (12 × 2) × π × (10 × 2)²

Volume = 24 cm × π × 20²

Volume = 30159.29 cm³

Answer:

Below.

Step-by-step explanation:

The volume of the smallest cylinder

= πr^2h

= π*10^2*12

= 1200π cm*3.

Now as the radius and height of  the large cylinder are 2 times the radius and height of the small one

Volume of the large cylinder = 2^3  = 8 times the volume of the small one

= 8* 1200π

= 9600π cm^3.

Help Please. It's 10:11 AM right now. This due by 12 PM or in 2 more hours. I don't know this.

Answers

Answer:

B) 2,000.

Step-by-step explanation:

As the mean is 6000 the total number of students = 5*6000

= 30,000.

If graduates are excluded we have 4*7000 = 28,000 students.

So the number at graduate level

=  30,000 - 28,000

= 2,000.

Please help me answer thi question

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )

m = [tex]\frac{3-3}{5-2}[/tex] = [tex]\frac{0}{3}[/tex] = 0

What is 93x43 please show your work.

Answers

This answer would be 4,4042

Answer:

The answer is 3,999

Step-by-step explanation:

93 x 43 = 3,999

brainliest :)

6 of 15 motorist is what percent

Answers

Answer:

40%

Step-by-step explanation:

6/15 is the same as 2/5 which is .40 or 40%

Answer:

40%

Step-by-step explanation:

I need help!!
If any boady could tell me the awnswer that would be great

Answers

Answer:

1/4 and 3/8  = 2/8 and 3/8

1/4 and 1/2 = 1/4 and 2/4

2/16 ad 3/8 = 2/16 and 6/16

1/4 and 2/16 = 4/16 and 2/16

1/2 and 3/8 = 4/8 and 3/8

Step-by-step explanation:

Answer:

The first box goes with the third bottom box. The second box goes with the 5th bottom box. The third box goes with the first bottom box. The fourth box goes with the fourth bottom box. Lastly the 5th box goes with the second bottom box.

Hope this helps

at the mud factory, people's job is to scoop up mud and make it into kilogram blocks of mud. She loves her job today there were 2,913 milligams of mud trucked in. Each mud block is precisely 1 kilogram, no less no more. How many mud blocks can she make today

Answers

Answer: 0 bricks

Step-by-step explanation:

2,913 milligrams (mg) is only 2.913 grams.  It takes 1,000 grams to make a kilogram.  2,913 mg is only 0.002913 kg.  

0 bricks can be formed
This is because 2913 mg is equivalent to 2.913g
1 brick is 1000 g not 2.913

Kiley had a piece of bamboo skewer that measured 14 Three-fifths inches long. She wanted to cut it into toothpicks that were each 3 One-fifth inches long. How many toothpicks can she make?

Answers

4.5 or 5(rounded)
Since 73/5 divided by 16/5 = 4.5625

A closed circular cylinder has a diameter of 21 cm and height of 14.5 cm find it total surface area

Answers

Answer:

this is the correct answer happy

What is the measure of ABC

Answers

B please mark branliest

Answer:

60°

Step-by-step explanation:

the degrees of a triangle equal up to 180° so 60 + 60 = 120, 180 - 120 = 60

Solve one third plus seven ninths equals blank
Question 1 options:

ten twenty sevenths

eight ninths

ten ninths

nine thirds

Answers

Answer:

the answer is 10/9.

Step-by-step explanation:

Please give BRANIEST and 5 stars if correct!

Answer:

ten ninths

Step-by-step explanation:

"one third plus seven ninths" can be rewritten symbolically as

1/3 + 7/9 and we note that the LCD is 9.  Thus,

1/3 + 7/9 = 3/9 + 7/9 = 10/9 (or "ten ninths")

Find the distance from the point A(2,−1) to the line y = −x+4. Round your answer to the nearest tenth.

Answers

Answer: um i think 300

Step-by-step explanation:

an online music store sells 15 songs for $12. Another online music store sells 10 songs for $9. Which online store has the lower cost per song?

Answers

Answer:

The second store (10 songs for $9)

Step-by-step explanation:

15 songs/$12 = $1.25 per song

10 songs/$9 = $1.11 per song

Answer:

second

Step-by-step explanation:

second bc if you cross multiply 135>120

A mixture of green paint contains 9 pounds of blue paint and 12 pounds of yellow paint to make the same shade of green paint using 21 pounds of blue paint how much yellow paint would you need

Answers

I’m not too sure, I tried dividing 21 by 9 which then I got 2.3333 so then I multiplied that and 12 and got basically 28

Liquid A has a density of 1.42 g/cm². 7 cm of
liquid A is mixed with 125 cm of liquid B to make
liquid C. Liquid C has a density of 1.05 g/cm. Find
the density of liquid B.
Give your answer correct to 2 decimal places

Answers

Answer:

A=density=1.42g/cm^3

mass=9.94g

volume=7cm^3

B=density =?

mass=128.66g

volume=125cm^3

C=density=108g/cm^3

mass=138.6g

volume=132cm^3

massA 1.42×7=9.94g

massB 138.6-9.94=128.66g

massC 132×1.05=138.6g

Density of B =mass/ volume

=126.66÷ 125

= 1.03g/cm^3

Which of the following is a possible situation for the graph shown?

Answers

Step-by-step explanation:

but the graph is not given here

Help me plz
I’m stuck
Also happy thanksgiving

Answers

Answer:

x = 13

angle A = 97degrees

Step-by-step explanation:

TO GET "x=13"

since the angle is an alternate angle , it adds up to 180deg so :-

A+B =180

6x + 5 + 4x + 45 = 180

then u add the like terms :-

10x + 50 = 180

then u substitute:-

10x = 180-50

10x = 130

10x÷10 = 130 ÷10 ( this is to cancel the 10 )

x = 13

___________________________________________________________________

TO GET "A=97"

since we need the magnitude of A, we need to .... um I dunno how to explain this soo.....

the equation for A = 6x + 5

180 is the sum of the 2 angles so :-

180 - 5 - (13 × 6) 13×6 is because x=13

180 - 5 - 78= 97

I subtracted these since we need to cancel to get to an answer

I hope u get it.... sorry if u can't understand

and sorry once again if this answer.... I did it in a rush

Apply the distributive property to create an equivalent expression.
(3−8y)⋅(−2.5)=

Answers

Answer:

-7.5+20y

Step-by-step explanation:

To apply the distributive property, you have to distribute the multiplication of -2.5 to both 3 and -8y.

First, multiply 3 and -2.5 to get -7.5

Then, multiply -8y and -2.5 to get 20y.

Finally, add these values together

8/10……………………………………………………

Answers

Answer:

|3x+4| +6

Step-by-step explanation:

f(x) = |3x+4| +2

g(x) =4

f(x) + g(x) =  |3x+4| +2 +4

               =  |3x+4| +6

Explain why 15 +1/2n
is an algebraic
expression.

Answers

Answer:

Because there is a variable and no equal sign

Step-by-step explanation:

The equation Y-5 = 6(x+1) is written in point-slope form. What is the equation written in slope-intercept form?
O y = 6x + 11
O y = 6x - 1
O y = 6x - 4
O y = 6x + 6.

Answers

Answer:

Option A: y = 6x + 11

Step-by-step explanation:

Given the linear equation in point-slope form, y - 5 = 6(x + 1), and that we must determine its equivalent slope-intercept form, y = mx + b:

First, we must distribute 6 into the parenthesis on the right-hand side of the equation:

y - 5 = 6(x + 1)

y - 5 = 6x + 6

Lastly, we must add 5 to both sides of the equation to isolate y:

y - 5 + 5 = 6x + 6 + 5

y = 6x + 11

Therefore, the slope-intercept form is: y = 6x + 11, which matches Option A.

what is the hcf of 18 27 and 81 by prime factorization​

Answers

Answer:

9

Step-by-step explanation:

It's been a while since i've dealt with prime factors hopefully this is correct.

Please please help:(((((

I will give brainliest

Answers

Answer:

<AMC=75°

Step-by-step explanation:

if <C=90 and <B = 30, then <A=60 (because <A+<B+<C=180, as ABC is a triangle)

if CM is a angle bisector then it divides <C in half, so <ACM=<MCB=45

since <ACM=45;

         <A = 60;

then  <AMC = 180-(45+60),

         <AMC = 180-105,

         <AMC = 75.

1) 9 × 0 + (-80) + 8 = ?

Answers

☆Jawaban :

9 × 0 + (-80) + 8 = ?

= 0 - 80 + 8

= -80 + 8 <==> 8 - 80

= -72

~bilbul

9 × 0 + (-80) + 8

= 0 + (-80) + 8

= (-80) + 8

= -72 ✔️

:)

Please HeLp 100 PoInTs + bRaNlEyIsT

Answers

Answer:

It is congruent doe to the angle side angle congruence thereom AKA ASA

Step-by-step explanation:

That means there are two angles and one side in between. A pair of triangles  that follow this rule has an angle that is congruent to one angle. Then a side that has a tick mark after the angle must match another. Then the last angle has to match another angle ( and it can't be the same angle as before).  Usually the first pair angles have 1 semicircle and the second pair has 2 semicircles.

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