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

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Related Questions

Find the GCF of the set of numbers.

8 and 12
Enter the correct answer in the box.

Answers

Answer:

4

Step-by-step explanation:

prime factorization of 8 is 2x2x2

prime factorization of 12 is 2x2x3

2x2 are the only common factors, therefore GCF is 4

Answer:

4 is the GCF

Step-by-step explanation:

12/4 = 3

8/4 = 2

An online clothing company sells custom sneakers. The company charges $26.50 for each pair of shoes and a flat fee of $3.99 for shipping. Write a linear function that represents the total cost, y, in dollars, for a single order of x sneakers.

Answers

Answer:

6.50x + 3.99

Step-by-step explanation:

Every order of sweat shirts is charged $3.99

Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.

Determine the value of x in the diagram.

Answers

Answer:

x=48 because 180-156=24. 108+24=132 180-132=48

in figure below, lines r and s are parallel. If the m<1=47° , find:

Answers

Answer:

<3 = 47 degrees

<4 = 133 degrees

<5 = 47 degrees

<6 = 133 degrees

<7 = 47 degrees

<8 = 133 degrees

Angles 1 = 3 = 5 = 7 (vertical angles

Step-by-step explanation:

Find the slope of the line that passes through (2,3) and point (4,4)) using m=y2-y1/x2-x1

Answers

Answer: The slope is 1/2 or 0.5

Yara is trying to find the best price for 8 notebooks.

If 2 notebooks cost $14.00 at Barnyard Books, and 5 notebooks cost $20.00 at The Bookworm, how many dollars will Yara save if she buys 8 notebooks from The Bookworm instead of Barnyard Books?

Answers

Answer:

Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books.

Step-by-step explanation:

if 2 notebooks = $14.00, then, 14 ÷ 2 = $7.00

Therefore, 1 notebook at Barnyard book is $7.00

She bought 8, so 8×7 = $ 56.00

> She will spend $56.00 at Barnyard book

while at bookworm, 5 notebooks cost $20.00

> 20 ÷ 5 = $4.00

Therefore, 1 notebook at bookworm cost $4.00

She bought 8, so 8×4 = $32.00

> She will spend $32.00

Subtract the total amount that she'll spend on both stores

$ 56.00 - $ 32.00 = $ 24.00

Therefore, Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books

Is the equations true.false.or open? x+3=5

Answers

Answer:

true

Step-by-step explanation:

i just plugged in 2 for x. 40% chance im right lol

Answer:

true

Step-by-step explanation:

PLZ HELP ME with this hw

Answers

C because from the eqn :AB=AD=DC=BC so it is a parallelogram or a rhombus

Which one is linear or nonlinear?

Answers

Answer:

broo I have to download it just take a screenshot.....

What is the slope of this equation and Y intercept.

Y= 3/5x + 6

Answers

Answer:

the y-intercept is 6 the slope is 3 / 5

Step-by-step explanation:

slope-6

y-intercept-3/5

Answer:

M = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Use the slope-intercept form y = mx + b  to find the slope m.

.

10 students volunteer to help fold paper stars for a charity project. If an additional 5 students help out, they will be able to finish the job 3 days earlier. The number of days required to finish the job is inversely proportional to the number of students who help out. Find the additional number of students needed to help out in order to finish the job 4 days earlier.​

Answers

Answer:

Above is the step-by-step solution.

70% of Hassan's collection of goldfish died. if he has 60 survivors, how many did he have originally?​

Answers

Hassan originally had 200 goldfish

Step-by-step explanation:

Multiply 60 by 100, which will get you 6,000, then divide by 30 to get 200. The 100 is for the total percentage, the 30 is the percentage left.

Answer:

200goldfish

Step-by-step explanation:

since 30percent(100_70)is60 what about 100percent

100percent/30percent multiplied by 60goldfish=200

Therefore the answer is 200goldfish

I need help hurry plzzzzzz

Answer if u know will mark brainliest

Answers

Answer: Die with memories, not dreams. – Unknown

Step-by-step explanation:  Go make some good memories! Be yourself

What is differentiation ?

Answers

Answer:

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus


(Sorry if this didn’t help)

HELPPPPPPP

Find the value of x for both

Answers

Answer:

x = 18 and x = 30

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180° , that is

90 + x + 4x = 180

90 + 5x = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

-------------------------------------

The 2 angles are corresponding and congruent , then

x = [tex]\frac{1}{2}[/tex] x + 15 ( multiply through by 2 to clear the fraction )

2x = x + 30 ( subtract x from both sides )

x = 30

Answer:

1. x=18    2. x=30

Step-by-step explanation:

For 1. the equation would be x+4x =90 as it is a 90 degree angle

So 5x=90 then x = 18

For 2. The 2 angles are the same so we set them equal to each other

x=1/2x+15

2x=x+30

x=30

Find the value of x and angle AKB

Answers

x = 3 and angle AKB = 11

The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags?​

Answers

Answer:

17.5 Ounces

Step-by-step explanation:

14/100=.14                 .14x25=3.5              14+3.5=17.5

how to graph f(x)=2x^2-2

Answers

Answer:

ASWKT TAKING X AS ANY NO.

X=1

by substituting we get answer as 2,0

Step-by-step explanation:

mark as brainliest

GIVING BRAINLIEST

In the figure below, if AB=11√7 , what is CD?

Answers

 CD is 11 square root of 14.  

The measure of the side length CD in the given right angled triangle as per the measurements is equal to option C. 11√14 .

In right triangle ABE,

Measure of angle ABE = 90 degrees

Measure of angle AEB = 60 degrees

AB = 11√7

Using trigonometric ratio we have,

tan 60° = AB / BE

⇒ √3 = 11√7 / BE

⇒ BE = 11√7 / √3

⇒BE = 11√21 / 3

In right triangle BED,

Measure of angle BED = 90 degrees

Measure of angle EBD= 45°

⇒Measure of angle EDB= 45°

BE ≅ ED

BE = 11√21 / 3

⇒ED = 11√21 / 3

Using Pythagoras theorem,

BD² = BE² + ED²

⇒BD = √ 2 (11√21 / 3 )²

⇒BD = 11√21 / 3 × √2

⇒ BD = 11√42 / 3

In right triangle CDB,

Measure of ∠CDB = 90°

Measure of ∠DCB = 30°

tan 30° = BD / CD

⇒ ( 1/ √3) = 11√42 / 3 / CD

⇒ CD =  [11√42 / 3 ] × √3

⇒ CD = 11√14

Therefore, the length of the side CD in the triangle is equal to option C. 11√14 .

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4. Solve the equation.
5n + 1
1
8
2
n=
(type the fraction as a/b with no spaces)

Answers

Answer:

=1187n

Step-by-step explanation:

5n+1182n=?

=1187n

A scrapbooking store is selling rubber stamps for four dollarsand $4.95 each. The total sales F(n) is a function of the number of rubber stamps n sold
A. Identify the independent and dependent variables
B. What values of the domain and range make sense for this situation? explain
C. Write a function to represent the total sales. Then determine the total sales for five stamps

Answers

A. Independent variable: number of rubber stamps n sold. Dependent variable: F(n), the total sales.

B. Only whole numbers. It is impossible to have negative and/or fractional stamps.

C. F(n) = $4.95n, which is 4.95 times n.

So, plugin 5 for n

[tex]f(5)= \$4.95(5)[/tex]

F(n) = $24.75

solve pls brainliest

Answers

Answer:

1) No it repeating

2)No it doesn't terminate nor repeat

3) yes this terminates

4) no its repeating

Step-by-step explanation:

PLS HELP ME QUICKLY THANK U :) :()​

Answers

Answer:

x = 1/2 or x = 2/3

Step-by-step explanation:

6x^2 = 7x - 2

=> 6x^2 - 7x + 2 = 0

=> 6x^2 - 3x - 4x + 2 = 0

=> 3x (2x - 1) -2 (2x - 1) = 0

=> (2x - 1) (3x - 2) = 0

2x - 1 = 0

=> 2x = 1

=> x = 1/2

or

3x - 2 = 0

=> 3x = 2

=> x = 2/3

Hopefully this helps!!

Answer:

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

Step-by-step explanation:

6x² = 7x - 2 ( subtract 7x - 2 from both sides )

6x² - 7x + 2 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 2 = 12 and sum = - 7

The factors are - 3 and - 4

Use these factors to split the x- term

6x² - 3x - 4x + 2 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 1) - 2(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(3x - 2) = 0

Equate each factor to zero and solve for x

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

(3x+8)(x+4)

Expand and simplify

Answers

Answer:

Step-by-step explanation:

(3x+8)(x+4), distribute 3x over the second parenthesis first and then the 8

3x² + 12x + 8x + 32 , combine like terms

3x² + 20x + 32

Answer:

3x^2 + 20x + 32

Step-by-step explanation:

Distribute 3x over the second parenthesis first and then the 8.

#CarryOnLearning

Find (fog)(x) (gof)(x), if f(x) = 1 - 5x; g (x) = |2x + 3| x​

Answers

Step-by-step explanation:

f (x) = 1 - 5x

g (x) = 2x + 3

find (fog) (x)

it's a composite function so basically we substitute x = 2x + 3 where we see x in f (x) = 1 - 5x

so doing that we'll get

1 - 5(2x + 3)

next expand your brackets

1 - 10x + 15

equate to 0 to make things easier

1 - 10x + 15 = 0

make x the subject

1 + 15 = 10x (this is the same as 10x = 1 + 15)

x = 16/10 (you can leave it as a fraction)

fog(x) = 16/10

find gof (x)

we'll do the same thing again

2(1-5x) + 3

2 -10x + 3 = 0

2 + 3 = 10x

10x = 5

x = 5/10 (reduce)

x = 1/2

gof (x) = 1/2

Which of the following statements justifies why the triangle shown below is not a right triangle?
Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ O D. YZ SUBMIT
please help

Answers

None of the options are correct. And the given triangle is a right-angle triangle.

Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,

Thus, None of the options are correct. And the given triangle is a right-angle triangle.

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the value if /14-15/ is​

Answers

Answer:

1

Step-by-step explanation:

/14-15/

/-1/

1(because absolute value of any real number is always positive and for zero itself zero)

Solve the equation for all real solutions in simplest form.
3x2 - 12x + 11 = x

Answers

Answer:

(13 + or - (sign) square root(37)) / 6

Step-by-step explanation:

First search up the quadratic formula which is

x = (- b + or - square root(b^2 - 4ac)) / 2a

and to find a, b, and c you need this formula

ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)

Math:

a = 3, b = -13, c = 11

b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.

Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.

(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3

13 + or - square root(37) / 6

Slope of parallel and perpendicular lines

Answers

Answer:

-1

Step-by-step explanation:

They already did the opposite reciprocal for you.

They have it in the form  now.

To find b you just enter (x,y)=(8,1).

Let's do that.

Subtract 2 on both sides:

b=-1

what is the equation to solve this

Answers

Answer:

p=(180.50-19.50)/23

Step-by-step explanation:

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