Answer:
x= (-∞,∞)
Step-by-step explanation:
x could be any value and make this equation true
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.
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
What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256
Answer:
2.56
Step-by-step explanation:
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
The answer for that is 5744.61
A. It takes 86 pounds of seed to completely plant a 9-acre field. How many pounds of seed are needed per acre?
B. At Garcia's Bike Rentals, it costs $27 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Answer:
A. about 9.6 pounds of seeds
B. $4.5 per hour
Step-by-step explanation:
Expression Name
Expression
E
–8 + 4∕7
F
7 – 0.5
G
9 + (–3)
H
3.8 – 6.7
The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
Answers
A)
H
B)
F
C)
E
D)
G
Answer:
G
Step-by-step explanation:
9+(-3) = 6
3. What is slope of the line above?
4. What is slope of the line above?
help!
pls help :(
more than one answer btw
Answer:
A, C, E
Step-by-step explanation:
hope this helps!
Answer:
I think it is A, C, E
Step-by-step explanation:
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
PLS ANSWER IN 5 MINS
I WILL MARK BRAINLIEST
THE QUESTION IS IN THE PICTURE I ATTACHED
Answer:
[tex]\frac{19}{14}x + \frac{97}{56}[/tex] =
^^^hope this helps! :)
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:
Hurry pls need answers
10pts
Answer:
Why is the pic black
Step-by-step explanation:
0.36 divided by 2.34
Answer:
0.15384615384
Step-by-step explanation: Often times, this number will be rounded to the nearest hundreth to be .15
Answer:
=0.1538461538461538
Step-by-step explanation:
Hope this helps (:
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:
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 :)
CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answer:
seventeen degrees(17⁰)
Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So
[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]
The manager can select a team in 61425 ways.
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
(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.
Find the diffrence between 7/8 and 1/2 and find the sum of 1/5 and 2/3
Answer:
3/8 and 13/15
Step-by-step explanation:
find the common denominator
A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be able to fill?
Answer:
4 2/4
Step-by-step explanation:
4 1/2 + 1/2 = 4 2/4
i just added em up
Answer:
Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.
What is the polar form of -3 + sq rt 3i?
Answer:
(√12,-π/6)
Step-by-step explanation:
r^2 = 9+3 = 12
tanθ = √3/-3 = -1/√3
Answer:
D
Step-by-step explanation:
Correct on edge
Please help with explanation
1/3 of Cheryl’s savings was the same as 3/4 of Hilda’s savings.Cheryl saved $36.
(a) Find the ratio of Cheryl’s savings to Hilda’s savings.
(b) How much did Hilda save?
Answer:
a) the ratio is 9:4
b) Hilda did save $16.
Step-by-step explanation:
Let's define the variables:
C = Cheryl's savings.
H = Hilda's savings.
We know that:
(1/3)*C = (3/4)*H
We also know that Cheryl saved $36, then we have:
C = $36
Now we can replace that in the above equation to get:
(1/3)*$36 = (3/4)*H
$12 = (3/4)*H
$12*(4/3) = H = $16
Then Hilda did save $16.
And the ratio between of Cheryl's savings to Hilda's savings is:
36 : 16
We can simplify this if we divide both by 2.
(36/2) : 16/2
18 : 8
Again, we can divide both by 2:
(18/2) : (8/2)
9 : 4
Then the ratio is 9 : 4
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:
Q3
Work out the volume of each of these items:
a) a bag of sugar of mass 1000 g and density 1.6 g/cm
b) a packet of margarine with density 2.8 g/cm and mass 250 g
Answer:
Step-by-step explanation:
1000 g × (1 cm³)/(1.6 g) = 1000/1.6 cm³ = 625 cm³
:::::
250 g × (1 cm³)/(2.8 g) = 89.3 cm³
Find the slope of the line passing through each of the following pairs of points (0,7), (0,-8)
Answer:
Step-by-step explanation:
Answer:
The answer is unidentified
Step-by-step explanation:
I checked ;)
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.
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) :)
Algebra roller coaster building it most state from the ground and it have to be 100ft
Answer:
sa taas nito ay 50 square meter kung pagbabasihan mo sa ibaba 55 square meter malaki rin sa baba kaya ang tawag dyaan ay centementer
I hope I can help you and give me a star even if I am only 5 or 4 stars and please put a heart for many
PLZ HELP ME YOU GUYS ARE MY ONLY HOPE!!! I WILL GIVE BRAINLIEST PLZ ANSWER<3
2a+3c=5a+2c=1
There is an ordered pair that is the solution of the system of equations shown. The value of one of the variables in the solution of the system can be obtained by using which of the following substitutions?
Answer:
a = 9, c = -4?
Step-by-step explanation:
i think these are the two equations, let me know if i'm wrong
2a + 3c = 5; a + 2c = 1
rearrange second equation : a = -2c +1
plug in:
2(-2c +1) +3c = 5
-4c +1 +3c = 5
-c +1 = 5
-c = 4
c = -4
a + 2(-4) = 1
a - 8 = 1
a = 9