4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is
Joe was driving on the highway a car ahead of him was driving far below the speed limit so he decided to pass. In the first second he gained(gained means to get nearer to something you are chasing) 5m on the car and as he accelerated he gained 1.5 times as much distance in each second as he had the second before. If there was 30 m between joe and the car he was passing then how long did it take him to pass
Answer:
537/100s.
Step-by-step explanation:
answer explerts help pleaseee show steps also
plz help. show work too
Answer:
56mm²
Step-by-step explanation:
i will appreciate if u give brainliests, thanks
hey please help i’ll give brain
Answer:
First, the dropdown is 9. Second, put in 9. The answer is 81.
Step-by-step explanation:
10* what equals 90? Well, let's do 90/10, our answer is 9. Then We are given 1 nine or 9 to put on the second slot. Our answer would be 90-9, or 81. Khan Academy is teaching you how to multiply.
Answer:
[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ than \: you[/tex]
150 miles in 6 gallons to the nearest hundredth
Answer:
do you have any photo reference to the actual question at this time?
Five times the sum of a number and 7 is 8
Answer:
5(n+7) = 8
Step-by-step explanation:
this is the equation you are look for if its the value of n it would be -27/5
Answer:
Step-by-step explanation:
5(x + 7) = 8
x + 7 = 8/5
x = 8/5 - 7 = -27/5 = -5.4
Help me please broskies
can someone help me with this question
Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
Please help with geometry
Answer:
x
Step-by-step explanation:
2x+1
4x +5
The perimeter of the triangle shown is 9x + 10. Which of the following is the measure of the third side
A) 3x+4
B) 15x+15
C) 15x+5
D) 3x+16
Step-by-step explanation:
Option a is the correct answer
(2x+1)+(4x+5)+(3x+4)
2x+1+4x+5+3x+4
9x+10
Geno started to evaluate 90 – (18+-2)(-3), as shown. What should he do next?
Which linear inequality is represented by the graph?
Oys-x-1
O yzx-1
O y<3x-1
Oy> 3x - 1
Answer:
The fourth answer choice is correct.
y>3x-1
The linear inequality that is represented here is y> 3x - 1. The last option is correct.
What is a linear inequality?These are inequalities that shows linear functions. It is showing the data that is not equal in the graph that is presented.
We can see that the line cuts through 3 at the X axis and -1 at the y axis.
Read more on linear inequalities here:
https://brainly.com/question/17152894?referrer=searchResults
Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer
7x-5y<-15 graph and shade
Answer:
Slope: 7/5
y intercept: (0,3)
Step-by-step explanation:
Can someone help with this !!
Answer:
[tex]{ \sf{ {(2x - 3)}^{4} }} \\ = { \sf{ {(2x - 3)}^{2} . {(2x - 3)}^{2} }} \\ = { \sf{(4 {x}^{2} - 12x + 9)(4 {x}^{2} - 12x + 9) }} \\ = { \sf{ {16x}^{4} - 48 {x}^{3} + 36 {x}^{2} - 48 {x}^{3} + 144 {x}^{2} - 108x + 48 {x}^{2} - 108x + 81 }} \\ { \sf{ = {16x}^{4} - 96 {x}^{3} + 228 {x}^{2} - 216x + 81 }}[/tex]
karen had 25.30 saved in her piggy bank. she found 3 dimes on her way to school. if she puts them in her piggy bank when she gets home, how much will she have saved?
How do I solve this
Answer:
it's 67
Step-by-step explanation:
Step-by-step explanation:
the base is already same.
-9 + (-8) - (-7) = -10
= m^-10
Simplify: 2(a-4)+15=13
Answer:
a = 3
Step-by-step explanation:
2(a−4)+15=132
a−8+15=132
a=13−15+82
a=6
a=6/2
a=3
the expression x - 0.10 X gives the cost of an item that is discounted 10% write this expression in the other way
Answer:
Step-by-step explanation:
Take out a common factor (x)
x ( 1 - 0.10 )
Now do the subtraction
0.90x
I NEED HELP ASAP!!! #32!!
Answer:
If it's parallel, then it has the same slope.
Find the slope from the two coordinates and compare the slope to see which ones are right.
You should get a slope of like 2/3 from the two points, so the only equation with the same slope is B.
Your answer is B.
I don’t get this how do these things work please explain
Answer:
Ok, so:
-The number of people who like tea are represented in the first column.
-The number of people who dislike tea are represented in the second column.
-The number of people who like coffee are represented in the first row.
-The number of people who dislike coffee are represented in the second row.
This works like a multiplication chart:
People who like tea and coffee are represented in the top left square. People who dislike tea and coffee are represented in the box that coordinates to T' and C' (If you find T' and C' and run your fingers along the column/row until they run into each other, you'll find it.) The same is true for other combinations.
At the bottom of the first column is the total number of people who like tea. At the right-most part of the first row, is the total number of people who like coffee.
(52 people like tea, 80 people were surveyed)
I hope this helps you understand, please ask any clarifying questions you need! : )
A popular amusement park has had199,792,458 visitors since it opened. Which
number, written in scientific notation, is the
best approximation of the number of visitors?
a) 0.2 x 107 visitors
b) 0.2 x 108 visitors
c) 2.0 x 107 visitors
d) 2.0 x 108 visitors
Answer:
d) 2.0 * 10⁸
Step-by-step explanation:
199,792,458 ≈ 200,000,000 = 2.0* 10⁸
The midpoint of AB is M(3,-2). If the coordinates of A are (1, -3),
what are the coordinates of B?
Answer:
23 just took the test
Step-by-step explanation:
Answer:
B(5,-1)
Step-by-step explanation:
The formula for finding the midpoint of any line is: [ (x1+x2) / 2 ] , [ (y1+y2) / 2 ] .So, x1=1 and x2=x. And y1=-3 and y2=y.
So,
(1+x)/2=3, then manipulating it gives x=5.
And,
(-3+y)/2=-2, then manipulating the equation gives y=-1.
Hence B(5,-1)
giải phương trình :
-4x-8x>0
Answer:
[tex]x < 0[/tex]
Step-by-step explanation:
[tex] - 4x - 8x > 0[/tex]
➡️ [tex] - 12x > 0[/tex]
➡️ [tex]x < 0[/tex]
A motorcycle can travel 48 miles for every gallon of gas used
Use the unit rate to complete the table for the miles traveled by motorcycle
Answer:
A-96
B-144
C-192
:) have a nice rest of your day!
Step-by-step explanation:
All of the following are rational numbers except____.
Answer:
3.14159
Explanation:
pi is irrational
Hope this helps!! <3
The total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere.
Answer:
400cm²
Step-by-step explanation:
the surface area of the sphere =
4/3 x The total surface area of a hemisphere
=> 4/3 x 300 = 400cm²
-9+__ =-3 find the missing value
Answer:
6
Step-by-step explanation:
-9+6=-3
The sum of a number and it's absolute value is negative.
Answer:
False; the scenario is not possible.
Step-by-step explanation:
This scenario is not possible. I will demonstrate it by representing a number by [tex]x[/tex]. There are two possibilities: [tex]x[/tex] and [tex]-x[/tex]. Let's try both:
[tex]x + |x|[/tex]
[tex]x + x[/tex]
[tex]2x[/tex]
The sum for positive [tex]x[/tex] and its absolute value is not negative. Let's try with the negative value of [tex]x[/tex] now:
[tex]-x +|-x|[/tex]
[tex]-x + x[/tex]
[tex]0[/tex]
The sum for negative [tex]x[/tex] and its absolute value is not negative either, it is zero which is neither negative or positive. Therefor, we can safely say that the scenario described is not possible.
