A rational number is a number that can be expressed as a fraction of integers.
The conclusion the student can make about product xy is that:
D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.
Given that:
[tex]x = \frac ab[/tex]
[tex]y = \frac cd[/tex]
The product xy is:
[tex]x \times y = \frac ab \times \frac cd[/tex]
So, we have:
[tex]x \times y = \frac{ac}{bd}[/tex]
From the question, we understand that:
[tex]Integers \to a, c[/tex]
This means that, ac would be an integer (by closure property)
Also:
[tex]Non\ zero \to b,d[/tex]
This means that, bd would be non-zero i.e. [tex]bd \ne 0[/tex]
So, we have:
[tex]x \times y = \frac{ac}{bd}[/tex]
[tex]x \times y = \frac{Integer}{Non\ zero}[/tex]
The quotient of an integer and a non-zero integer is always be rational.
Hence, option (d) is correct.
Read more about rational numbers at:
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which is the equation of the line that passes through the points (4,3) and (6,2)
Answer:
y = -1/2x + 5
Step-by-step explanation:
Find slope:
change in y/change in x
(2-3)/(6-4)
-1/2 = m
Use point-slope form:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line, let's use (4,3)
y - 3 = -1/2(x - 4)
Point-intercept form:
Expand y - 3 = -1/2(x - 4) to get point-slope form:
y = -1/2x + 5
Hope this helps!! :)
Which expression is equivalent to 5^{10} · 5^{5}
A. 5^{2}
B. 5^{5}
C. 5^{15}
D. 5^{50}
Answer:
C should be correct
Step-by-step explanation:
I am not sure if you or anybody else does this another way or maybe the same way, who knows.
Anyways, what I did here was just simply add the powers, and no, not the base, I mean what it is being multiplied by.
When I did this, I got 5^15, but I had to check to make sure, which is what I did
5^10x5^5 is 30517578125
And guess what.
5^15 = 30517578125
So the answer is C, and I hope my explanation helps in a way.
find the slope given the following points: (8,-6) (-9,12)
Answer:
Slope (m) = 18 /-17 =-1.0588235294118
Step-by-step explanation:
y= 1/6x find y when x= -60
Answer:
-10
Step-by-step explanation:
Plugin the value of x.
y=1/6(-60)
y=-60/6
y=-10
If this helped please consider giving brainliest.
a.55.48.27.12.0
b.62.40.9.3.25.
c.1.8.13.29.42.
d.15.34.0.7.28
of the following shows an arrangement of an integer from least to greatest
Answer:
C
Step-by-step explanation:
a) 55 > 48 > 27 > 12 > 0 ×
b) 62 > 40 > 9 > 3 < 25 ×
c) 1 < 8 < 13 < 29 < 42 ✓
d) 15 < 34 > 0 < 7 < 28 ×
what is the value of x in f(x)= (x-3)(x+2)?
Answer:
your answer is 2 hope help you
Eight burgers and three orders of fries cost $79.49. Six orders of fries and twelve burgers cost $125.82.Find the price of one burger and one order of fries .
Answer:
Burgers - $8.29 and fries - $4.39Step-by-step explanation:
Let burgers - b, fries - f
8b + 3f = 79.4912b + 6f = 125.82Double the first equation and subtract the second equation:
16b + 6f - 12b - 6f = 2(79.49) - 125.824b = 33.16b = 33.16/4b = 8.29Find f:
8(8.29) + 3f = 79.493f = 79.49 - 66.323f = 13.17f = 13.17/3f = 4.39A worker work for just 3 days in a one month and his 1 month salary is 4380 what is the 3 days pay ?
Answer:
$505.385
Step-by-step explanation:
Given that:
Worker's one month salary is 4380
The number of working days in the month is not given ; However the average number of working days in a month usually range from 22 to about 26 days
Lets assume the number of working days for the firm in question is 26 days
Daily salary will be calculated as :
Monthly salary / number of working days
4380 / 26
= 168.46153
3 days salary :
168.46153 * 3
= $505.385
Plllsss help!!!
What is the value of x?
Answer:
X = 149
Step-by-step explanation:
A full circle is 360 degrees
Add 160+51=211
360-211=149
Answer:
x = 58
Step-by-step explanation:
The secant- tangent angle is half the difference of the intercepted arcs , then
[tex]\frac{1}{2}[/tex] (160 - x) = 51 ( multiply both sides by 2 )
160 - x = 102 ( subtract 160 from both sides )
- x = - 58 ( multiply both sides by - 1 )
x = 58
Jimmy bought 200 milliliter a of orange juice and drank 125 milliliters of it . How much juice is left?
Answer:
75 milliliters of juice is left
Step-by-step explanation:
What improper fraction is equal to 8 1/6?
Answer:
Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/
45
= 4 16/
45
≅ 4.3555556
hope this helps you
Step-by-step explanation:
Find the distance from point A to point B.
Answer:
8,6
Step-by-step explanation:
I moved up form A to the B and a to b was 8. And then from that it was 6. I realized I make no sense but yeah
Amy earned $25 after
babysitting for 3 hours. If
she dways charges the
same rate, how much will she
make after working for 7
hours
Answer:
58.33
Step-by-step explanation:
8.33 per hour
Mulitply by 7 and get 58.33
HELP HELP PLEASE!! D:
Find the length of the missing side of the trapezoid below:
PLEASE NO CAP!!
Determine whether the following sequence is arithmetic, geometric, or neither.
1, 4, 9, 16, ...
Answer:
ok
Step-by-step explanation:
Answer:
1,4,9,16
[tex] \frac{t2}{t1} = \frac{4}{1} \: \: \: \: \geometric[/tex]
Step-by-step explanation:
you first divide the second term by the first term
I need help what is y over 5>= 8
Answer:
3 i think
Step-by-step explanation:
Solve for side c and round to the nearest tenth
Answer:
c
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan64° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{11}{c}[/tex] ( multiply both sides by c )
c × tan64° = 11 ( divide both sides by tan64° )
c = [tex]\frac{11}{tan64}[/tex] ≈ 5.4 ( to the nearest tenth )
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet, 6 feet by 5 feet by 4 feet, 7 feet by 6 feet by 4 feet, 8 feet by 3 feet by 7 feet, 8 feet by 4 feet by 3 feet
Answer:
the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160
the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216
the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Given that m∠a = 93° and m∠b = 71°, find m∠x and m∠y.
m∠x =
°
m∠y =
°
Step-by-step explanation:
angle b = 71°
so, x + b = 180° ( linear pair )
x + 71° = 180°
x = 180° - 71°
x = 109°
Now, a + y = 180° ( linear pair )
93° + y = 180°
y = 180° - 93°
y = 87°
Hence, the value of x is 109° and y is 87°.
Patti starts out on day 1 with $0.01 and doubles her money each day to create a sequence of $0.01, $0.02, $0.04, $0.08 and so on. How much money should she have on day 12 ?
A. $9.60
B. $10.24
C. $20.48
D. $40.96
Answer:
D.40.96
Step-by-step explanation:
1-.01×2=.02
2-.02×2=.04
3-.04×2=.08
4-.08×2=.16
5-.16×2=.32
6-.32×2=.64
7-.64×2=1.28
8-1.28×2=2.56
9-2.56×2=5.12
10-5.12×2=10.24
11-10.24×2=20.48
12-20.48×2=40.96
if i made 280 a month how much would i have in a year
Answer:
3360 dollars
Step-by-step explanation:
280 x 12 = 3360
Answer:
It esay answer is 3360
Step-by-step explanation:
Thereare 12 months in a year. You made 280 amonth.So multiple 280 and 12.
100 points for test plz help!!!
Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.
Answer:
I can't draw models on here but i can walk you through it
Step-by-step explanation:
A linear model is usually a graph of a line were it is going left to right. Start by collecting your data and simply place the points from decreasing order to increasing and draw a line to collect them.
Have a great day! :)
Answer:
heres a pic of what linear models look like
hope u have a great day :P
Step-by-step explanation:
If 3+3 is 6 and 6 + 6 is 12... whats 500x - y
Write an equation of the line that passes through (-4 , 2) and is parallel to the line
y = 1/4 + 1
SOLVE MY QUESTION PLEASE!!
I’LL PUT YOU IN BRAINLEST!!
Answer:
y=1/4x + 3
Step-by-step explanation:
We know that the beginning of the equation has to be 1/4x since the line has to be parallel. So what I did was start at -4,2 then go up 1 and over 4, which led me to 3 as the y intercept.
I attached a photo. Not sure if it makes sense but I tried my best.
Hey cozycooljoe can you help me with this also, I am not rlly in High School I am in 7th Grade Jr. High.
Answer:
4.2 x 10^4=42000, 1.182 x 10^8 =118,200,000, 2.96 x 10^3 = 2960, 3.4 x 10^4 = 34000, 6.24 x 10^6 = 6240000, 7.2 x 10^8 = 720000000, 9.1 x 10^5 = 910000, 5.71 x 10^5 = 571000Step-by-step explanation:
Answer: 1. 42,000 2. 118,200,000 3. 2,960 4. 34,000 5. 6,240,000 6. 720,000,000 7. 910,000 8. 571,000
A parabola is defined as all points equidistant from a given directrix and focus true or false
False. A parabola is not defined as all points equidistant from a given directrix and focus.
A parabola is a conic section defined as the set of all points that are equidistant from a fixed point called the focus and a fixed line called the directrix. In other words, for any point on a parabola, the distance to the focus is equal to the perpendicular distance to the directrix. This property is known as the geometric definition of a parabola.
The focus and directrix are essential elements in defining a parabola, but they do not solely define it. The shape of a parabola is determined by the distance between the focus and the directrix. Varying this distance results in different sizes and orientations of parabolas.
The specific equation of a parabola incorporates the coordinates of the focus, the directrix, and a parameter called the focal length to precisely describe its form. False is the answer.
For more such questions on parabola
https://brainly.com/question/29635857
#SPJ8
Answer:
Im pretty sure the answer to this question is true. 2.5.2 Quiz Locus of Points
Step-by-step explanation:
Brody's family took a road trip to Niagara Falls. Brody slept through the last 6% of the trip. If the total length of the trip was 300 miles, how many miles had they travelled when Brody fell asleep?
Answer:
282
Step-by-step explanation:
100⋅x=300⋅94
Cross multiply
100
100x
Divide both sides by 100
282
What is AC?
А
А
D
5
B
Bliss is collecting money for a fundraiser. She starts with a $2 bronze star donation from her parents, then receives 3 equal silver star donations from her neighbors. If she ends with $18, how much money does she receive from a silver star donor?
Answer: $5.33
Step-by-step explanation:
Bliss was able to collect $18 in total.
Out of this total, she received a $2.00 bronze star donation and the rest were 3 Silver star donations.
This means that the 3 equal silver star donations added up to:
= 18 - 2
= $16.00
This means that each silver star donation was:
= Amount in total / Number of silver stars
= 16 / 3
= $5.33
Robbie owns 15 % more movies than Rebecca, and Rebecca owns 10 % more movies than Joshua. If Rebecca owns 220 movies, how many movies do Robbie and Joshua each have?
Step-by-step explanation:
Robbie=
15%/100%=220
=33 movies
Rebecca=
10%/100%=220
11 movies
Robbie have 33 movies and Joshua have 11 movies
Thank you
Hope it helps.