Answer:
He sold 7/8 of pie.
Step-by-step explanation:
A pie cut in thirds = 3 pieces
Each of this 3 pieces is cut into 4 equal pieces, which equals
3 x 4= 12 pieces of cut pie.
Each of this piece is cut into 2 equal slices,
which equals 12 x 2= 24 slices of pie.
If he sold 14 slices, then the fraction sold is
14/24 = 7/8
He sold 7/8 of pie.
Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using a direct proof. (a) The product of two rational numbers is a rational number. Solution (b) The quotient of a rational number and a non-zero rational number is a rational number. Solution (c) If x and y are rational numbers then is also a rational number.
Answer:
See Explanation
Step-by-step explanation:
(a) Proof: Product of two rational numbers
Using direct proofs.
Let the two rational numbers be A and B.
Such that:
[tex]A = \frac{1}{2}[/tex]
[tex]B = \frac{2}{3}[/tex]
The product:
[tex]A * B = \frac{1}{2} * \frac{2}{3}[/tex]
[tex]A * B = \frac{1}{1} * \frac{1}{3}[/tex]
[tex]A * B = 1 * \frac{1}{3}[/tex]
[tex]A * B = \frac{1}{3}[/tex]
Proved, because 1/3 is rational
(b) Proof: Quotient of a rational number and a non-zero rational number
Using direct proofs.
Let the two rational numbers be A and B.
Such that:
[tex]A = \frac{1}{2}[/tex]
[tex]B = \frac{2}{3}[/tex]
The quotient:
[tex]A / B = \frac{1}{2} / \frac{2}{3}[/tex]
Express as product
[tex]A / B = \frac{1}{2} / \frac{3}{2}[/tex]
[tex]A / B = \frac{1*3}{2*2}[/tex]
[tex]A / B = \frac{3}{4}[/tex]
Proved, because 3/4 is rational
(c) x + y is rational (missing from the question)
Using direct proofs.
Let x and y be
Such that:
[tex]x = \frac{1}{2}[/tex]
[tex]y = \frac{2}{3}[/tex]
The sum:
[tex]x + y = \frac{1}{2} + \frac{2}{3}[/tex]
Take LCM
[tex]x + y = \frac{3+4}{6}[/tex]
[tex]x + y = \frac{7}{6}[/tex]
Proved, because 7/6 is rational
The above proof works for all values of A, B, x and y; as long as they are rational values
can somebody solve this question for me and explain it
Answer:2
Step-by-step explanation:
find the product (a + 3)(a - 2)
Answer:
a2 + a − 6
Step-by-step explanation:
the a with the 2 beside of it is to the power of
help, I need help really bad
Answer:
135
Step-by-step explanation:
you need to explain the actual question and not put an image without context
Answer:
angle a = 70
angle b = 45
angle c = 65
Step-by-step explanation:
Now we will try to find the measure of the unknown angle together. Starting with angle b.
Angle b and 135 make a 180 angle together therefore the following expression.
angle b + 135 = 180
b = 45
Now that we have angle be we can try to find angle a. As we know, vertical angles are always equal to one another. Angle a and 70 are vertical to each other.
a = 70
Now that we have angle a and b we can finally find c. A triangle is the a sum of 180 degrees so, a + b + c = 180
70 + 45 + c + 180
c = 65
Kevin is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 5 hours? How much gas would be left after t hours?
Answer:
He would have 2.75 gallons left after 5 hours.
Step-by-step explanation:
Hi please help me as soon as possible:
Rimo spends £588 on a plane ticket and $130 on airport tax. Using £1 = $1.34, what percentage of the total cost does Rimo spend on airport tax?
Give your answer rounded to 1 dp.
PLEASE HURRY I'VE POSTED THREE TIMES THIS QUESTION BUT NO ANSWERS ONLY WATCHERS
Answer:
Percentage = 14.2%
Step-by-step explanation:
Given the following data;
Cost of plane ticket = £588
Airport tax = $130
£1 = $1.34
To find the percentage of the total cost spent on airport tax;
First of all, we would convert the ticket cost in pounds (£) to dollars ($).
Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92
Total cost = Cost of plane ticket + Airport tax
Total cost = 787. 92 + 130
Total cost = $917.92
[tex] Percentage \; cost = \frac {130}{917.92} * 100 [/tex]
[tex] Percentage = 0.1416 * 100 [/tex]
Percentage cost = 14.16 to 1 d.p = 14.2%
Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent.
There were 70 wings at the Super Bowl party. I ate 14. What percent of the wings did I devour?
Answer: omg yes I ate like 10 wings last night. Your answer should be 20
Step-by-step explanation:
Please help me Answer this :)
( Will give brainlst!!)
<3
Answer:
C) Proton
D) Electron shell/ orbit
E) Neutron
Hope this will help you!
Answer:
proton
electron shells
neutron
Can someone please write the equation for this?
Answer:
y = 2[tex]\sqrt{x}[/tex] - 3
Step-by-step explanation:
taria has 14 pencils, Ted has 9 pencils, Tom has 12
encils, Lucinda has 13 pencils, and Jumana has 12
encils How can they redistribute the pencils so that
they all have the same amount How many pencils
hould each person have
Answer:
that would all have 7 pencils each
Answer:
Maria should give away 2 pencils. Ted should get 3 pencils. Lucinda should give away 1 pencil. Everyone should have 12 pencils.
What would be the most logical first step for solving this quadratis equation?
x²+2x+13= -8
Answer:
B. Add 8 to both sides
Step-by-step explanation:
So you can have 0 at the other end and factor it properly.
Answer:
subtract 13 from both sides
Step-by-step explanation:
subtract 13 so that you will have all of the x's on one side and all of the constant numbers on the other side of the equal sign.
Use the drop down menus to complete the statement to match the information shown by the graph
Answer:
yes ikow
Step-by-step explanation:
you can do that if you want to buy
Answer:
where the graph?
Step-by-step explanation:
x - 6
———
x + 8
=
9
—
3
Step 1 of 2: State any restriction(s) on the variable, if they exist.
need help asap!!
yes those are fractions ^^
Answer:
dont know....mmm sorry
What is the missing constant term in the perfect square that starts with x^2 + 10z
Answer:
25
Step-by-step explanation:
i think you mean +10x
but (x+a)^2 = x^2 + 2ax + a^2
2ax = 10x
ax = 5x
a = 5
so (x+5)^2 = x^2+10x+25
Carpenters earn an average of $1120 less
per month than designers at a furniture
factory in Smithville. The factory employs
3 designers and 15 carpenters. Let x
represent the average monthly pay of a
designer
Which of the following functions correctly
shows the relationship between the
monthly payroll (P) and the wages of these
employees?
(1) P= 3x + 15(x - 1120)
(2) P= 3(x - 1120) + 15x
(3) P = 3(x - 1120) + 15(x -
1120)
(4) P= 3 + x + 15 + (x - 1120)
(5) P = 3(x)(15)(x - 1120)
3(x-4)= 2(x + 5)
Find the number
Answer:
x=22
Step-by-step explanation:
Reorder the terms:
3(-4 + x) = 2(x + 5)
(-4 * 3 + x * 3) = 2(x + 5)
(-12 + 3x) = 2(x + 5)
Reorder the terms:
-12 + 3x = 2(5 + x)
-12 + 3x = (5 * 2 + x * 2)
-12 + 3x = (10 + 2x)
Solving
-12 + 3x = 10 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-12 + 3x + -2x = 10 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-12 + 1x = 10 + 2x + -2x
Combine like terms: 2x + -2x = 0
-12 + 1x = 10 + 0
-12 + 1x = 10
Add '12' to each side of the equation.
-12 + 12 + 1x = 10 + 12
Combine like terms: -12 + 12 = 0
0 + 1x = 10 + 12
1x = 10 + 12
Combine like terms: 10 + 12 = 22
1x = 22
Divide each side by '1'.
x = 22
Simplifying
x = 22
William receives a weekly allowance according to the following formula: For each day that he remembers to do his chores, he eams 51.50, and for each day that he doesn't remember to do his chores, he loses
50.25. What amount of allowance would William receive for a week in which he remembers to do his chores on five days and forgets to do them on two days?
3. What is slope of the line above?
4. What is slope of the line above?
help!
Factor completely 4x^2 + 3x - 10.
A) (4x - 2)(x + 5)
B) (4x + 2)(x - 5)
C) (4x - 5)(x + 2)
D) (4x + 5)(x - 2)
Answer:
(4x-5)(x+2)
Step-by-step explanation:
Leslie practiced the flute for of an hour 3 times
this week. She practiced piano for of an hour
2 times this
week.
6 Which expressions below can be used to show how
much time Leslie spent practicing both the flute and
107 Circle the letter of all that apply.
I need help with this question
Answer:
[tex]Tax~required~to~be~paid = 5.4% (5) = \frac{5.4}{100}(5) = \frac{27}{100}[/tex][tex]~of~(5) = \frac{5.4}{100}(5) = \frac{27}{100} = 0.27~dollars[/tex]
Help pleaseee I need some assistance right now
Answer:
69°
Step-by-step explanation:
if CA and AT are congruentsides, this means that the angle of C and T must also be the same.
In order for a triangle to be a triangle, they must meet the angle of 180 degrees.
We know CAT is = to 42
So we subtract 42 from 180 = 138 degrees
we then divide 138 by 2 and we get 69
angles c + t are both 69 degrees
Answer:
69°
Step-by-step explanation:
The measure of angle A is given as 42 and the sum of interior angles in a triangle is equal to 180° we subtract 42 from 180 and divide the result with 2 because this is an Isosceles triangle since |AC| = |AT| m<C = m<T
(180 - 42) ÷ 2 = 69°
4. Eddie drops a heavy book onto the floor. What does the energy of the book turn into when the book hits the floor?
O radiant energy
sound and heat energy
potential energy
O kinetic energy
Answer:
Heat and sound energy
Step-by-step explanation:
It starts off as potential energy, which is then converted to kinetic energy and by impact it'll develop a sound and heat energy.
Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.
Which statements describe the graph of 2 8/9 ≥ x on a number line? Select three options.
Answer:
✔️The graph contains point zero
✔️There's a closed circle on 2⁸/9
✔️The arrow points to the left
Step-by-step explanation:
The inequality, 2⁸/9 ≥ x, implies that 2⁸/9 is either equal to x or more than x. In other words, the highest value of x is 2⁸/9. Possible value of x is equal to or less than 2⁸/9.
This, on a number line, we would graph the information as follows:
✔️The graph contains point zero
Rationale: point zero is less than 2⁸/9
✔️There's a closed circle on 2⁸/9
Rationale: this indicates 2⁸/9 is included in the possible value of x
✔️The arrow points to the left
Rationale: possible value of x ranges from 2⁸/9 and below.
Answer: b c d
Step-by-step explanation:
heart it please ;) your welcome
Can you guys help me and answer this math question below please I’ll mark brainliest to whoever answers
Answer:
Your answer will be (2,4) :)
Pls help I’ll brainlest
Answer:
8
Step-by-step explanation:
Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?
To find our answer, we can solve the equation:
20x + 60 = 220
-60 -60
20x = 160
/20 /20
x = 8
Jeremiah bought 8 toy sets!
I hope this helps :)
Which figures can be precisely defined by using only undefined terms? Select three options.
angle
arc
circle
line segment
parallel lines
Answer:
Circle, angle, and line segment.
use the sumilar triangles to find the value of the missing side b
(282-14*3*6)/(6) -(21-18)
Answer:
2
Step-by-step explanation:
( 282 - 14 ⋅ 3 ⋅ 6 ) / ( 6 ) - ( 21 - 18 )
= 30/( 6 ) - ( 21 - 18 )
= 30/( 6 ) - 3
[tex]=\frac{30}{6} -3[/tex]
= 2
Answer:
[tex]27[/tex]
Step-by-step explanation:
1) Simplify 14 × 3 to 42.
[tex]282 - 42 \times 6 - (21 - 18)[/tex]
2) Simplify 21 - 18 to 3.
[tex]282 - 42 \times 6 - 3[/tex]
3)Simplify 42 × 6 to 252.
[tex]282 - 252 - 3[/tex]
4) Simplify 282 - 252 to 30.
[tex]30 - 3[/tex]
5) Simplify.
[tex]27[/tex]
Therefor, the answer is 27.
A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. If AB = 6, BD = 23, and AB = CD, find the length of segment AD.
Answer:
If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.
Step-by-step explanation: pls brain list