Answer with explanation:
To prove: [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.
Consider [tex]a^2-a=a(a-1) \ \ \ \ [\text{ Taking 'a' out as common }][/tex]
Here, a and (a-1) are two consecutive numbers such that,
either of them must be an odd number and an even number.
i.e. a(a-1)= Product of even and an odd number = Even number [Trivial statement]
⇒ a(a-1) is divisible by 2 [Every even number is divisible by 2.]
⇒ [tex]a^2-a[/tex] is divisible by 2 for any whole value of a.
Hence proved.
The value of the ratio y/x of two proportional quantities x and y is called..
either constant of proportionality, ratio, unit rate, proportion, rate, or proportional relationship
Answer:
constant of proportionality
Step-by-step explanation:
Assuming that we have two proportional quantities; one is x and one is y.
If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.
Need help asap
Will mark you brainlist
Answer:
y= -1/2 x -1
Step-by-step explanation:
Combine like terms.
3(2-5) – (4w=11)
Answer:
-5 = w
Step-by-step explanation:
3(2-5) – (4w=11)
Distributive property
6 - 15 - 4w = 11
Combine like terms
-9 - 4w = 11
Add 9 on both sides
-9 + 9 - 4w = 11 + 9
-4w = 20
Divide by -4 on both sides to isolate the variable
-4w/-4 = 20/-4
w = -5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
i can solve this put first why is there an equal sign in between the parantasis
if you want to keep the equal sign delet the ()
Step-by-step explanation:
3(2-5) – 4w=11
-9-4w=11
-4w=20
w=-5
you have to do parantasis first
p--parantasis
e--exponents
m--multiplication
d--division
a--adition
s--subtraction
What is the solution of the equation
5 = 22?
Answer:X=17
Step-by-step explanation:
Im not 100% sure
giving brainliest seems like an easy question.
Answer:
Yes, she is correct
Step-by-step explanation:
All you really have to do is multiply 1/5 and 3/4. We can separate her backyard in 5 equal parts. In one of those parts, we have her garden, and we break it down into 4 pieces, and make three of those tomato gardens. Now if we break all 5 parts of her backyard into 4 pieces, we can double check our answer, and see that there are 20 pieces, but only 3 have tomatoes. Of course, that's only to double check, but you could also use this method as a model.
Aleesia has a box of 52 muffins. she wants to put out plates that each have the same numbers of muffins. what is one possible way Aleesia could put an equal number of muffins on each plate so there are no muffins left over?
Just see what even number 52 can go into
Karen has completed 26 deliveries so far this week. She needs to make 40 deliveries for the week. What percentage of her deliveries has Karen completed?
Answer:
doop
Step-by-step explanation:
Answer:
65%
Step-by-step explanation:
40/100 = 26/x
40/100 = 2/5
2/5 = 26/x
cross multiply
2x = 130
divide by 2
x = 65
Kimani says that the slope of the line between points B and C is greater than the slope of the line between points A and B .
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B.
Answer:
Kiara is correct
.............
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the figure
Slope between A and B = rise/ run 3/3 = 1
and, slope between B and C = 5/5 = 1
So, the slope between A and B is same as the slope between B and C.
Hence, Kiara has correct statement.
Learn more about slope here:
https://brainly.com/question/3605446
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Will give brainliest
Which system is divided up by fractions such as ¼ and ½?
metric
or
customary
Answer:
metric
Step-by-step explanation:
The metric system is divided up by fractions such as ¼ and ½.
What is metric system?The set of standard units used to measure length, weight, area, and capacity is known as the metric system of measurement in mathematics. As it uses numbers in powers of 10, it is based on the decimal system.
In the metric system:
Although it is not strictly forbidden, using fractions such as ¼ and ½ of a measurement is typically not necessary.
As opposed to the American Customary System.
Therefore, the metric system is divided up by fractions such as ¼ and ½.
To learn more about the metric system;
https://brainly.com/question/25966695
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if 120 is 30% what is 80%
Answer:
320
Step-by-step explanation:
120/30 = 4
4*80 = 320
How many numbers between 1 and 2000, inclusive,
have both a square root and a cube root as integer?
A A
3
B
4
©
5
D
6
7
12334567891011121314151617181920
LOL
Answer:
1, 64, 729
Step-by-step explanation:
What is the total cost with sales tax price $17.95 tax 6%
Answer:
$19.03
Step-by-step explanation:
Okay, this is a standard percentage problem, so learning how to do this is necessary. First, we have to find what 6% of $17.95 is, since of is our keyword and that means to multiply, and percentages turn into decimals:
17.95 x 0.06 = 1.08
So we have our tax, then we have to add that to our original price to get the whole thing:
17.95 + 1.08 = 19.03
So the total sale price is $19.03
divide the following
3554by10
4678 by 40
solve for x
19.
20.
21.
22.
23.
24.
Answer:
I hope I helped sorry l didn't understand question number 19
The division property of equality could be used to solve which of the following equation
A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me
Answer:
A
Step-by-step explanation:
5x = 30
divide both sides by 5:
x = 6
Write the decimal as a percent.
3.68=%
Answer:
Step-by-step explanation:3.68 = 368%
Nina and Annie decorate cupcakes at Solenoid Sweets bakery. On monday, they each decorated the same number of cupcakes, but nina did it in less time. On Tuesday, They each scheduled to decorate cupcakes for 4 hours. Will Nina likely decorate more or fewer cupcakes than Annie?
Answer quick please someone :)
Answer:more
Step-by-step explanation:
Factorise x 2 + 20 x + 100
Answer:
(x+10)(x+10)
or (x+10)²
Step-by-step explanation:
this factories can use this
a² + 2ab + b²
; (a)² + 2(a)(10) + (b)²
= (a+b)²
hope it helps you ☺️
Any questions (ask me in comments)
Hiw to simplify 5÷ 8/9
Answer:
45/8
Step-by-step explanation:
I Need help please I don’t understand it
i don’t understand this unit please answer asap
Answer:
a
Step-by-step explanation:
Help plsssssssssssssssss
please help!
the length of a rectangle is represented by 5x - 7 and its width by 3x + 2. find its dimensions of the perimeter is 70 inches
Answer:
l = 18
w = 17
Step-by-step explanation:
2(5x-7) + 2(3x+2) = 70
x = 5
5(5)-7= 18
3(5) + 2 = 17
Answer:
Step-by-step explanation:
we have a rectangle, and the perimeter P=70
P=2L+2W
P=2(5x-7)+2(3x+2)=10x-14+6x+4=16x-10
16x-10=70
16x=70+10=80
16x=80
x=5
L=25-7=18
w=15+2=17
0.5 is a rational number.
True
False
Answer:
true
Step-by-step explanation:
Natural numbers are numbers naturally occurring in nature like 1, 2, 3, 4, 5, 6, 7, 8, 9 . . .
Whole numbers are numbers that are whole, like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . (the only difference is that there is a 0 included)
Integers include negative and positive numbers like -3, -2, -1, 0, 1, 2, 3, 4 . . .
Rational numbers are include all of the above AND anything that can be turned into a fraction, like fractions and decimals (that have an end) like 0.625, -0.5, 1, 4, 1/4, 6/15, 4.8, etc.
So in this case, yes, 0.5 is a rational number.
Answer:
true
Step-by-step explanation:
A company earns £3,178,784 in 2016. 4/7 of the income is spent on salaries.
How much money does the company spend on salaries in 2016?
gasta 1816448 en salarios
Step-by-step explanation:
Plz guys I need help.
The difference between the high and low temperatures one day was 26°F. The low was 64°F. find
the high temperature.
A. 38
B. 2
C. 90
D. 1664
Answer:
90 degrees F
Step-by-step explanation:
if the distance from the temperatures is 26 degrees and the low point is 64, just add up 26 and 64 and you will get 90 degrees F.
A 76.00 pound flask of mercury costs $162.00. The density of mercury is 13.534 g/cm3. Find the price of one cubic inch of mercury by calculating intermediate values. What is the price of one pound of mercury
Answer:
Price of one pound of mercury
[tex]x=\$ 2.06[/tex]
Price of one cubic inch of mercury
[tex]z=\$1.0[/tex]
Step-by-step explanation:
From the question we are told that
Mass of mercury [tex]M= 76pound[/tex]
Price of 76 pound [tex]P=\$162[/tex]
Density of mercury is [tex]\rho=13.534 g/cm3.[/tex]
Generally the cost of one pound of Mercury x will mathematically be given as
[tex]x=\frac{162}{76}[/tex]
[tex]x=\$ 2.13[/tex]
Generally the cost of one gram of Mercury G will mathematically be given as
[tex]1pound = 453.92g[/tex]
[tex]G=2.06/453.93\\G=\$4.6*10^-^3[/tex]
Generally the cost of one cubic centimetre of Mercury c will mathematically be given as
[tex]13.5= 1cm^3\ of\ Mercury[/tex]
[tex]c=\$6.33*10^-^2[/tex]
Generally the cost of one cubic inch of Mercury z will mathematically be given as
[tex]z=0.0614*16.4[/tex]
[tex]z=\$1.0[/tex]
The measure of angle MPO is 72 degrees, find the measure of angle PMN
Answer:
Where is the picture?
Step-by-step explanation:
N/A
The radius of a circle is 20.5 feet. What is the length of its diameter? Answer:
Answer:
Step-by-step explanation:
Since 20.5 is half, to find the diameter, you need to multiply the radius times 2.
D=2r
diameter: 41