3. A carpenter cuts a piece of lumber into two
pieces. One piece is twice the length of the other.
If the longer piece is 28 inches long, how long
was the whole piece of lumber before it was cut?

Answers

Answer 1

Answer:

42 inches

Step-by-step explanation:

Let x represent the length of the shorter piece then...

2x=28

Divide both sides by 2

x=14

The shorter one is 14 inches long and the longer one is 28 inches long. Now, we add these two numbers to find the original length of the lumber.

14in+28in=42 inches


Related Questions

HELP FAST! AND NO LINKS! There is a line segment called AB (not pictured). The coordinates of point A are (6, 2), and the coordinates of point B are (2, 6). AB is transformed to form A'B', which is shown on the graph. Which transformation below caused AB to transform into A'B'?

A. a reflection across the x-axis

B. a counter-clockwise 90 degree rotation about the origin

C. a reflection across the y-axis

D. a translation 3 units down and 7 units left ​

Answers

Answer:

a counter-clockwise 90 degree rotation about the origin

Step-by-step explanation:

Answer:

A reflection across the y-axis.

Step-by-step explanation:

I took the test :)

i need help 30 pionts if u help me!!!!

Answers

If you want to find the volume have to multiply the length times width times height


As so 2 x 9.6 x 10= 192

Two poles meet at the top of the teepee. The angle at which they meet is equal to twice the complement of the angles that the poles form with the ground. What is the measure of the angle at which the two poles meet at the top of the teepee

Answers

The measure of the angle at which the poles meet at the top of the tepee is 180 degrees

Complementary angles

Complementary angles are angles which sum is equals to 90 degrees. Two angles complement each other when there sum is 90 degrees.

The two poles meet at the top of the tepee.

The angle at which they meet is equals to twice the complement of the angles that the poles form with the ground. Therefore,

Complement of the angles that the poles form on the ground = 90°

Then the measure of the angle at which the poles meet at the top of the tepee is as follows:

2(90) = 180°

Therefore, the measure of the angle at which the poles meet at the top of the tepee is 180 degrees

learn more on complementary angles: https://brainly.com/question/25783764

6 x 2 7 x 2 8 x 2 3 x 3

Answers

[tex]6 \times 27 \times 28 \times 23 \times 3 = 312984[/tex]

Answer:

312984

Step-by-step explanation:

To solve the equation 6 x 27 x 28 x 23 x 3, you can follow these steps:

Start by multiplying the first two numbers: 6 x 27 = 162.

Then multiply the result by the next number: 162 x 28 = 4536.

Continue multiplying by the next number: 4536 x 23 = 104328.

Finally, multiply by the last number: 104328 x 3 = 312984.

The final result is 312984

number?
(p)
6.
Nathan bought a CD player for $30 more than one-half of the original price. If he
paid $120 for the CD player, what was the original price?

Answers

$180 would be your answer 90 would be half +30 is 120

HELP Solve for w x and y

Answers

Step-by-step explanation:

take ∆PRT

angle prt = 30°(||sides, traversal, opp angles)

angle ptr = 45+y(|| sides, opp angles)

x+30+45+y = 180

x+y = 180-75= 105

x= 105-y

take triangle zrt

angle zrt =30(parallel sides and traversal with opp angles)

angle ztr = y(parallel lines)

30+y+w = 180

w = 150-y

angle pzt+azr = 360-300+2y=60+2y

pzt= 30+y

triangle pza

30+y + 45+30= 180

y = 180-105=75

w = 75

x=30

Please help me I need this please

Answers

Answer:

Answer is $3

Step-by-step explanation:

$3 x 0.75 (75%) = $2.25

$3 - $2.25 = $0.75

The expression 17n + 11 represents the perimeter of the triangle.

Answers

Answer:

8n

Step-by-step explanation:

The third side  of a triangle whose perimeter is 17n + 11 and the other two sides are (5n + 6) and (4n + 6) is 8n

3.6 × 6 long multiplacation

Answers

21.6 is the correct answer 3x6= 18+.6x6= 3.6

Amy will be using a t-chart to find 3 points for this linear function: f(x)= 3x -2. Which chart below is the correct answer for this function. WILL GIVE BRAINLIEST

Answers

The points for a linear function are (0, -2), (1, 1) and (2, 4)

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Given that the relationship between f(x) and x is given by:

f(x) = 3x - 2

When x = 0: f(0) = 3(0) - 2 = -2

When x = 1: f(1) = 3(1) - 2 = 1

When x = 2: f(2) = 3(2) - 2 = 4

The points for a linear function are (0, -2), (1, 1) and (2, 4)

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

(0, -2) (1, 1) (-3, -11)

Step-by-step explanation:

A photograph measures 10 inches wide by 18 inches long. The picture is reduced so that the length is 6 inches, what is the new width?

Answers

Answer:

19

Step-by-step explanation:

Answer:

The width would be 3 1/3 inches or 3.333 repeating

Step-by-step explanation:

Since you divide the length by 3, you would also have to divide the width by 3. 10 divided by 3 is 3 1/3 or 3.333 repeating (whichever one you choose).

At school, the maximum numer of students that can be in the classroom is 27. If there 20 students signed up for the geometry class, how many more students can join the class?

Answers

Answer:

7.

Step-by-step explanation:

Since there is a total of 27 per class, and 20 are already in the class, you can do 27-20= 7 student slots left.

An item is regularly priced at $40 It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price?

Answers

12 dollars is discounted off, making the price 28 dollars.

Step-by-step explanation:

10 percent is 4$, 4×3=12

Solve the system
of equation by
using subsitution,
Y=2x +3
x - y = -2

Answers

Answer:

The solution to this system of equations is (-1, 1).

Step-by-step explanation:

A system of equations is a "a finite set of equations for which common solutions are sought". Or, they are a pair (or more) of equations that either intersect, are parallel, or the same line. For the sake of simplicity, we are going to focus on systems of equations that intersect and only have one solution.

A solution to a system of equations that intersect is represented by a point (x, y). This makes sense because at the intersection of two points, there lies a point.

So how do we find this point? We do this by solving the system of equations. We show that there exists a point in which two lines can be satisfied simultaneously. But how can we do that? Trial and error?! Well, no. There are some ways of approaching this.

The first method is graphing. By either using an external source or doing it yourself, graphing two lines and showing where they intersect is one of the more understandable ways of solving a system of equations. The point where they cross is the solution of the system.

The second method is elimination. This is observing that a system of equations can be combined together to eliminate a variable (x or y) and solving for the other in a one-variable equation. For example, say that I have this system of equations:

x - y = 1

x + y = 1

By simply adding the two together, I get:

2x = 2

x = 1.

Since we already have x = 1, we can substitute it back into one of the original equations to get y.

1 + y = 1

y = 0.

So, the solution to this system of equations would be (1, 0). Speaking of substituting ...

The third method is substitution. This is observing that a variable (x or y) can be written in terms of the other and then using that to substitute in and make one of the equations one-variable.

y = 2x + 3

x - y = -2

We can see that y is already in terms of x in the first equation, so let's substitute y for 2x + 3 in the second equation.

x - (2x + 3) = -2

- x - 3 = -2

- x = 1

x = -1

We can substitute x back into one of the original equations.

y = 2(-1) + 3

y = -2 + 3

y = 1

Therefore, the solution to this system of equations is (-1, 1).

Help plssss this is k12!

Which function is equivalent tof(x)=4x2+12x+9?

Question 6 options:

(4x+3)(x+3)

(2x+3)2

(2x−3)2

(4x−3)(x−3)

Answers

Answer:

[tex](2x+3)^{2}[/tex]

Step-by-step explanation:

Factor the equation (I got 36 because I multiplied 4x9)

You need to find two numbers that multiple to equal 36 but add to equal 12

6 x 6 = 36

6 + 6 = 12

I used to box method to factor it further into (2x+3)^2

HELP FAST. ILL GIVE BRAINLIST. 100 pts for each answer.
The least common denominator is used to find equivalent fractions. First, determine the missing factor by dividing the least common denominator by the original denominator.

Answers

Ok so
The first division problem’s answer is 12.
The second division problems answer is 9.
The third division problem’s answer is 8.
Now put those as the denominators of the fractions.
If that isn’t what they’re asking for then I don’t know but I hope this helps!

Answer:

See below

Step-by-step explanation:

Equivalent fractions obtained when the fraction is multiplied by a fraction with same numerator and denominator:

5/12 = 5/12 × 12/12 = 60/1447/16 = 7/16 × 9/9 = 63/1441/18 = 1/18 × 8/8 = 8/144

Last Saturday, Ben and Dominic set up a lemonade stand to help their grandmother use
the lemons from her trees. They used 2 lemons for each cup of lemonade. By the end of the
day, the boys had sold 21 pitchers of lemonade. If each pitcher held 9 cups, how many
lemons did Ben and Dominic use?

Answers

Answer:

378 Lemons

Step-by-step explanation:

Because you use 2 lemons for every cup, you first need to find how many lemons per pitcher by multiplying 9 by 2 to get 18, so 18 lemons per pitcher, then multiply that by 21 because that's the total amount of pitchers to get 378 lemons

solve 3x^2-18x-7=5 by completing the square

Answers

Answer:

x= [tex]\sqrt13 +3[/tex]

Step-by-step explanation:



SOMEONE HELP PLEASEE

Answers

Answer:

x = 16 sin 38

Step-by-step explanation:

sin 38 = x/16

Multiply both sides by 16.

16 × sin 38 = x

x = 16 sin 38

Answer:

A. 9.9

Step-by-step explanation:

sin 38° = x / 16x = 16 sin 38°x = 9.9 (rounded)

a 65 foot ladder is leaning against a well. Its lower end is 25 feet away from the wall. How much farther away will it be if upper end is moved down 8 feet?

Answers

Answer:  14 feet

=====================================================

Explanation:

Check out the diagrams below.

We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.

Use the pythagorean theorem to find the vertical side x.

a^2 + b^2 = c^2

25^2 + x^2 = 65^2

625 + x^2 = 4225

x^2 = 4225 - 625

x^2 = 3600

x = sqrt(3600)

x = 60

The top of the ladder is 60 feet high when placed against the wall in this configuration.

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

If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.

Like earlier, we'll use the pythagorean theorem to find the missing side.

a^2 + b^2 = c^2

y^2 + 52^2 = 65^2

y^2 + 2704 = 4225

y^2 = 4225 - 2704

y^2 = 1521

y = sqrt(1521)

y = 39

The horizontal distance from the ladder base to the wall is now 39 feet.

Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.

2) Simplify the expression:
9[m - 3) + 2(-10 + 7m)

Answers

Answer:

23m-47

Step-by-step explanation:

Distribute  9 to m and -3

Distribute 2 tp -10 and 7m

9m-27-20+14m

Subtract:

9m-47+14m

Group like terms:

9m+14m-47

Add similar elements 9m+14m=23m:

23m-47

what is the radius of the circle whose equation is x2+y2=18​

Answers

Answer:

r = [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

equation of a circle:  [tex](x-a)^2+(y-b)^2=r^2[/tex]

where (a, b) is the center and r is the radius

Therefore, for the equation [tex]x^2+y^2=18[/tex]

a = 0b = 0r² = 18

⇒ r = [tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

There are 96 students in 5th grade. Five-eighths of the students are boys. How many students are
boys?
A. 58 boys
B. 60 boys
C. 62 boys
D. 54 boys

Answers

58…

Explanation:
I’m confused, either you worded it wrong, or this is the easiest question ever. The question says “58 of the student are boys. How many students are boys?”

Answer:

The answer is B. 60 boys

Step-by-step explanation:it would not let me put my reasoning but trust me its correct <3 brainliest please

"The trees are soldiers marching along the drive" Is it an example of personification a metaphor or a simile?​

Answers

Answer:

Its personification they givin human characteristics to non human thangss

the answer is personification!

Which of the following illustrates the Distributive Property of Multiplication over addition?

Answers

Answer:

x(y+z)=(x×y)+(x×z) shows the distributive property of multiplication over addition.

500+6 (3+1)+(8-5) 3-2 (5+4)

Answers

Answer:

551

Step-by-step explanation:

500+6(4)+3(1)(5+4)

500+24+3(9)

524+27

551

Brainliest is much appreciated

Answer:

515, just evaluated it

What is the solution to the system of equations? (Hint: Use Substitution.)

2 lines Line 1: y equals negative 3 x plus 6 Line 2: y equals 9

Answers

Answer:

(-1,9)

Step-by-step explanation:

y = -3x + 6

y = 9

-3x + 6 = 9

-3x = 3

x = -1

y is already given as 9, but you can solve for y by plugging the x value into y = -3x + 6,

-3(-1) + 6 = 9

(-1,9)

Use your calculator to work out
13.7
3.052 + 2.6
Write down your full calculator display.

Answers

Answer: 0.31097258 ⠀ ⠀ ⠀

16x + 2 so what do you think it is tho

Answers

Answer:

you can't add them technically because they aren't the same

if it was 2x then you could add them

which statement best explains whether y= 3x + 5 is a linear or non linear function( 50 POINTS) HURYY PLSS

Answers

Answer:

C the 3rd one

Step-by-step explanation:

that's the best explanation for me. I'm sorry if I'm wrong I wish you luck

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