Answer:
in short, Yes they are always rational.
here's why...
E.g. suppose [tex]\frac{c}{d}[/tex] and [tex]\frac{a}{b}[/tex] are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give [tex]\frac{ad+bc}{bd}[/tex] and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had
Step-by-step explanation:
Make
q the subject of p=6q +7
To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
How to write an equation in the subject of a variable?To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.
The expression given in the problem is,
[tex]p=6q +7[/tex]
This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,
[tex]p+7=6q +7-7\\p+7=6q[/tex]
Divide both side of equation with number 6.
[tex]\dfrac{p+7}{6}=q[/tex]
Rewrite the equation as,
[tex]q=\dfrac{p+7}{6}[/tex]
Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
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Its very hard so brainly is very helpful
Answer: What question do you need help with?
Answer:
do u eat cat litter
Step-by-step explanation:
There are 120 people in a school canteen.
Half of the people in the canteen are in year 11 students.
The number of year 11 students in the canteen is three times the number of year 10 students.
The rest of the people in the canteen are year 9 students.
the number of year 9 students : the number of year 10 students = n : 1
Work out the value of n.
You must show how you get your answer.
2:1
Step-by-step explanation:
List all variables
Total people=120
year 11 students=120/2=60
year 10 students=60/3=20
subtract year 10 and 11 students from the total to get the number of year 9 students
year 9 students=120-60-20
=40
year9:year10
40:20
2:1
Value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
What is variable?" A variable is defined as the quantity which represents the change in value as per the given condition in a mathematical problem."
According to the question,
Total number of students in school = 120
As per the conditions given we have,
Number of 11 year students = [tex]\frac{120}{2}[/tex]
= 60 people
Number of 11year students = 3 × ( Number of 10 year students)
⇒Number of 10 year students = [tex]\frac{Number of 11 year students}{3}[/tex]
= [tex]\frac{60}{3}[/tex]
= 20 people
Number of (11year + 10year + 9year ) students = 120
⇒ 60 + 20 + Number of 9 year students =120
⇒Number of 9 year students = 120 - 80
= 40 people
Substitute the value in the given condition to get the value of the variable we get,
Number of 9 year students : Number of 10 year students = n:1
⇒40 : 20 = n: 1
⇒n = 2
Hence, value of variable 'n' as per the given condition number of 9 year students : number of 10 year students = n:1 is equals to 2.
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If 8.4 million baby boomers out of a total 76 million baby
boomers have already retired, what percentage of this
group will retire in the next 20 years? Round to the
nearest whole percent.
Answer: Undefined: Needs more data
Step-by-step explanation: What is the timespan over which they have retired? Is this a direct relationship?
Pleaseeeeee help
And THANK YOU
[tex] \: \: \: \: \: \: [/tex]
[tex]a.) \: \: \: \: \frac{36}{5} [/tex]
[tex]d.) \: \: \: \: - \frac{ 15}{2} [/tex]
refer to the attachment for explanationhope it helps
Answer:
A= 7 1/5
D= -7 1/2
Step-by-step explanation:
Hope this helped!
This is in mixed form btw
inproper fraction:
A= 36/5
D: -15/2
Mateo wants to buy a BMX bike to compete in his town's extreme sports contest. He set up a lemonade and cookie stand to raise the money. Mateo sold lemonade for $1 per cup and cookies for $3 each. He sold 40 cups of lemonade and 20 cookies. How much money did he make?
Answer:100$
Step-by-step explanation: you multiply 40x1 and 20x3
Type the correct answer in the box.
3 units
2 units
2 units
The area of the figure is
square units.
Reset
Next
Plz help
Answer:
8 units
Step-by-step explanation:
Area of square = 2x3 = 6 units
Area of triangle = (2x2)/2 = 2 units
Total area = 6 +2 = 8 units
Answer:
As previous answer stated, 8 units
Step-by-step explanation:
You multiply one side of the square by another to get 6 units, then, add the units from the triangle
Given the graph below. What is the axis of symmetry (vertex)of the parabola?
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
PLS HELP
First answer- (5,0) (10,0)
Second answer- (0,1//20) (0,20)
Simplify the radical expression. Select all that apply. (There are two answers I believe) √−36
a. 6
b. -6i
c. 6i
d. -i√6
please dont send links, i will give you brainliest
5/9 + n = 2/3
What does n equal?
A. 1/3
B: 1/9
C: 2/9
D: 4/9
Answer:
n = 1/9Step-by-step explanation:
5/9 + n = 2/3=> 5/9 + n = 6/9=> n = 1/9Conclusion:
Therefore, n = 1/9
Hoped this helped.
[tex]GeniusUser[/tex]
Evaluate the expression to find out how much she will pay if she drives 100 miles.
250 + 0.80m
While driving to Aunt Pat’s house we filled up our tank of gas. We traveled 2/5 of the way. How much further do we have to travel?
Answer:
3/5
Step-by-step explanation:
A BRANLIST PLEASE HELP MY HEAD HURTS ....MATH
Answer: I think it might be negative
Step-by-step explanation:
If f(x) = 14
then what does f(-3) equal?
Answer:
27 I do believe so sorry if im wrong
Step-by-step explanation:
Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
Step-by-step explanation:
substitute the value of y
3x+2x+3=-2 (collect like term)
5x=-2-3 (calculate the difference)
5x=-5 (both side over 5)
x=-1
i hop it helps you❤
The probability of event A is 0. 48, the probability of event A and B is 0. 21, and the probability of events A or B is 0. 89. What is the probability of event B? 0. 09 0. 20 0. 27 0. 62.
Probabilities are used to determine the chances of an event
The probability of event B is 0.62
The probabilities are given as:
[tex]\mathbf{P(A) = 0.48}[/tex]
[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]
[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]
To calculate the probability of event B, we make use of the following formula
[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]
So, we have:
[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]
Collect like terms
[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]
[tex]\mathbf{P(B)= 0.62}[/tex]
Hence, the probability of event B is 0.62
Read more about probabilities at:
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Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year.
How much money did Anthony receive for his birthday last year?
Answer
320
Step-by-step explanation
150 + 10 = 160
160 * 2 because it said than half the amount he received last year = 320!
Yes or no awnser pls
Answer:
No the question iant a function
Select the correct answer.
Why do the hands on the clock form an angle?
OA.
The hands lie in the same circle.
OB.
The hands are two line segments that share the same endpoint.
Oc.
The hands are two line segments that are perpendicular to one another.
OD.
The hands lie in the same plane.
Answer:
Step-by-step explanation:
The hands are two line segments that share the same endpoint.
please help asap for brainlist
Answer:
Both graphs have a y-intercept of (0,1) and y=6^x is steeper
Step-by-step explanation:
Plug in 0 for x to find the y-intercept. THey would both be raised to the 0th power meaning both y's equal 1. So, they both have the y-intercept of (0,1).
y=6^x is steeper becuase when you graph it, you can see it is. Also of course 6 is higher than 3.
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Find the measures of the interior angles of the triangle,
Answer:
Angle B = 88
Angle C = 44
Step-by-step explanation:
X+48+(X-44)=180
Subtract 48 from both sides
X+48-48+(x-44)=180-48
X+(x-44)=132
2x-44+44=132+44
2x= 176
X=88
Angle A=48
Angle B =88
Angle C=44
(88-44)
88+44+48=180
Answer:
∠A = 48°
∠B = 48°
∠C = 84°
Explanation:
For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°
Then you do, 180° - 96° to get 84°
So ∠C would be 84°
By showing your working clearly verify if x=19/20is the solution of the equation 2x-3/4=1/3x+5/6
need the answer asap
[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]
Therefore,
[tex]x = \frac{19}{20} [/tex]
verified.
Hope you could get an idea from here.
Doubt clarification - use comment section.
line has equation 3x + y = 15
Find the gradient of the line.
Answer:
-3
Step-by-step explanation:
We can add -3x to put the equation into slope-intercept form.
y = -3x +15
The gradient of the line (slope) is the coefficient of x: -3.
The gradient is -3.
pls help .................
Answer:
Step-by-step explanation:
I'm guessing at this a bit.
The final score will depend on what is par for each hole and/or for the entire course. The scores for the first four rounds were all negative. That means Ko required fewer strokes to hit the hole than the number considered "par" for the course.
Let P stand for the Par of the course. Then the score for each round would be:
P-3
P-4
P-7, and
P-2
The sum: 4P - 16 is her score for the first four rounds. I have no clue if there are more than 4 rounds, but if there are, the equation would be:
For n rounds:
nP - ∑[tex]x_{n}[/tex]
where ∑[tex]x_{n}[/tex] is the sum of over/under pars for the n rounds.
Use difference tables to determine whether the data represents a linear or quadratic relationship.
Answer:
Its not linear
Step-by-step explanation: Linear means it travels in a perfect line
What is the slope of a line that is parallel
and perpendicular to each line?
Answer:
m1.m2 = -1
Step-by-step explanation:
In the case of the parallel line, the slope of the two lines is parallel to each other.
plz answer in (x,y). 15 POINTS!!!!!!!!
Use the picture below to answer the question. The measure of angle 3 is 50 degrees. What is the measure of angle 6?
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
45/10 =4.5
4.5 x 7 = 31.5
Hight = 31.5
Answer:
B.
Step-by-step explanation:
Since they are equal do.
45 divided by 10
which equals 4.5.
So the image is being reflected by a 4.5 times bigger scale.
So then you do,
7 x 4.5
which is 31.5.