MATHEMATICS HIGH SCHOOL

Brad and Wes are building a tree house. They cut a 12 1/2 foot piece of wood into 5 of the same length. how long is each piece of wood? show your work

Answers

Answer 1

Answer:

Answer:

$2(1)/(2)$ foot

Step-by-step explanation:

Brad and Wes cut a $12(1)/(2)$ foot piece of wood into 5 of the same length.

Let length of 1 piece be x

So, Length of 5 pieces = 5x

Total length of wood= $12(1)/(2)=(25)/(2)$

So, $5x=(25)/(2)$

$x=(5)/(2)$

$x=2(1)/(2)$

Hence Length of each piece is $2(1)/(2)$ foot

Answer 2

Answer: This is what I did
I divided 12.5/5=2.5 and each pieces of wood would be 2.5 FT.

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Find the value of f(x) = -3x^3 + 2x^2 for f(-1)
A gallon of paint can cover 150 square feet. Find how many galloti container of paint should be beate to paint 3 coats on each wall of a rectangular room with dimension feet by 14 feet and will shar 12-feet tall.
-5, _____, _____, 7, 11
There were 45 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 3/5 of the remaining runners dropped out. How many runners finished the race?

Suppose a sequence begins with 1, 3 and continues by adding the previous two numbers to get the next number in the sequence. In this sequence, 18 and 29 are consecutive numbers. What is the next number in this sequence ?

Answers

47 because start at 1 and 3 add the two together and then that is how you get the next number in this sequence . Which is 4+previous nunber which is 3= 7
7+4=11, 11+7=18 11+18=29 , and 18+29=47
Does this help you any

Phil and Nick are selling fruit for a fundraiser. Customers can buy small and large boxes of tangerines. Phil sold 11 small boxes and 10 large boxes of tangerines for a total of $146. Nick sold 5 small boxes of tangerines and 12 large boxes of tangerines for a total of $126. Write the systems of equations.
What is the cost of a large box of tangerines?

Answers

Answer:

11s + 10l = 146

5s + 12l = 126

Step-by-step explanation:

Let :

Small box = s

Large box = l

11s + 10l = 146 - - - - (1)

5s + 12l = 126 - - - - (2)

Multiply (1) by 5 ; (2) by 11

55s + 50l = 730

55s + 132l = 1386

Subtract

-82l = - 656

l = 8

11s + 10(8) = 146

11s + 80 = 146

11s = 66

s = $6

Hence, the price of a large box of tangerine = $8

Katie went to buy a new tv and finds one for $550.00. In the state of Texas, there is a 6% sales tax on items. How much did Katie pay for the TV including the tax?

Answers

Answer:

583$

Step-by-step explanation:

6% is equal to 0.06, so you multiply 550 by 0.06. which equals 33. Then, because it asks for how much Katie played, including the tax and TV, you add 33 to 550.

Find the unit rate.

$121.50 for working 18 hours

Answers

6.75 per hour
121.50/18 = 6.75

unit rate will be 6.75$ an hour, 121.5/18

Please help, need answer ASAP! Will give brainliest to correct answer!

Answers

Answer:

Second option is the right choice.

Step-by-step explanation:

Divide the second equation by -5 and you'll get the equation same as first equation.

$(5x)/(-5)-(20y)/(-5)=(-5)/(-5)\:\:\:\rightarrow \:\:\:-x+4y=1$

So, it has infinite many solutions.

(17 PTS)
GEOMETRY QUESTIONS, PLEASE HELP!

Answers

14.
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.

15.
Angles 1 and 8 are congruent, because they are alternate exterior angles

16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5

17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
m = 0

18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
m = 1/3

19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
m = -1
C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
m = 4 / 4
m = 1
Perpendicular, because the slopes are opposite reciprocals.

20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
m = 2
G = (1, -3) - H = (3, 0)
m = 0 - (-3) / 3 - 1
m = 3 / 2
Neither, because the slopes are different.

21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
m = -5/2
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
m = 2/5
Perpendicular, because the slopes are opposite reciprocals.

22.
M = (-2, 2) - N = (2, 2)
Horizontal line
m = 0
O = (3, 0) - P = (-3, 0)
Horizontal line
m = 0
Parallel, because the slopes are the same.

23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.

14. Supplementary
15. Congruent

16. $m = (y_2 - y_1)/(x_2 - x_1) = (7 - 2)/(4 - 5) = (5)/(-1) = -5 \n\ny - y_1 = m(x - x_1) \ny - 2 = -5(x - 5) \ny - 2 = -5(x)+ 5(5) \ny - 2 = -5x + 25 \ny = -5x + 27$

17. $m = (y_2 - y_1)/(x_2 - x_1) = (3 - 3)/(-5 - 7) = (0)/(-12) = 0 \n\ny - y_1 = m(x - x_1) \ny - 3 = 0(x - 7) \ny - 3 = 0(x) - 0(7) \ny - 3 = 0x - 0 \ny = 0x + 3$

18. $m = (y_2 - y_1)/(x_2 - x_1) = (1 - (-2))/(5 - (-4)) = (1 + 2)/(5 + 4) = (3)/(9) = (1)/(3) \n\ny - y_1 = m(x - x_1) \ny - (-2) = (1)/(3)(x - (-4)) \ny + 2 = (1)/(3)(x + 4) \ny + 2 = (1)/(3)(x) + (1)/(3)(4) \ny + 2 = (1)/(3)x + 1(1)/(3) \ny = (1)/(3)x - (2)/(3)$

19. Perpendicular
20. Neither
21. Perpendicular
22. Parallel

23. Given: Transversal r cuts lines
   l and m: <2 = <1
      Prove: l || m

Statements | Reasons
1. <2 ≡ <1 | 1. They are congruent.
2. <1 ≡ <3 | 2. They are congruent.
3. <2 ≡ <3 | 3. They are parallel.
4. l || m    | 4. They are parallel.

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