Answer:
Proved
Step-by-step explanation:
Solving (a):
Let the numbers be: [tex]x, x + 1, x + 2.[/tex]
Their sum is:
[tex]Sum = x + x + 1 + x + 2[/tex]
Collect Like Terms
[tex]Sum = x + x + x + 1 + 2[/tex]
[tex]Sum = 3x + 3[/tex]
Divide sum by 3.
[tex]Result = \frac{Sum}{3}[/tex]
[tex]Result = \frac{3x+3}{3}[/tex]
[tex]Result = \frac{3(x+1)}{3}[/tex]
[tex]Result = x + 1[/tex]
Hence, this is true because there is no fractional part after the division
Solving (b):
Let the numbers be: [tex]x, x + 1, x + 2,x+3,x+4[/tex]
Their sum is:
[tex]Sum = x + x + 1 + x + 2+x + 3 + x + 4[/tex]
Collect Like Terms
[tex]Sum = x + x + x + x + x+1 + 2 + 3 + 4[/tex]
[tex]Sum = 5x+10[/tex]
Divide sum by 5.
[tex]Result = \frac{5x + 10}{5}[/tex]
[tex]Result = \frac{5(x + 2)}{5}[/tex]
[tex]Result = x + 2[/tex]
Hence, this is true because there is no fractional part after the division
Solving (c):
Let the numbers be: [tex]x, x + 1, x + 2,x+3[/tex]
Their sum is:
[tex]Sum = x + x + 1 + x + 2+x + 3[/tex]
Collect Like Terms
[tex]Sum = x + x + x + x + 1 + 2 + 3[/tex]
[tex]Sum = 4x+6[/tex]
Divide sum by 4.
[tex]Result = \frac{4x + 6}{4}[/tex]
Split
[tex]Result = \frac{4x}{4} + \frac{6}{4}[/tex]
[tex]Result = x + 1.5[/tex]
The 1.5 means that the sum can not be divisible by 4
mark takes a 40 question test for which he receives 2.5 for each correct answer and losses 1 point for each wrong answer. If mark answers all the questions and gets a grade of 65% of the test, what percent of the questions did he answer correctly?
Answer:
he answered 26% correctly
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
The radius of a circle is 12 centimeters. What is the circle's area?
r=12 cm
Use 3.14 for a
square centimeters
Answer:A=452.16
Step-by-step explanation:
A=π·r²
A=3.14·12²
A=3.14·144
A=452.16
Thanks to the rise of texting, emojis are becoming increasingly common. What does this suggest about graphics?
Question 2 options:
They are now a significant part of communication.
They are only used by young people in our society.
They will replace written language entirely one day.
They serve the exact same function as medieval illustrations.
PLEASE IM BEING TIMED
Answer:
A. They are now a significant part of communication
Step-by-step explanation:
take care
Find the value of w°
Answer:
w = 59
Step-by-step explanation:
90 + 31 +w = 180
121 +w = 180
w = 180 - 121
w = 59
2. Are the triangles shown below similar
not? How do you know? (Explain your reasoning)
Answer:
yes the both have all the same angles
Step-by-step explanation:
180-90=90
90-35=55
How to write the question using the follow sentence#1
Will mark Brainliest
Answer:
7 times 4 = 28
28 + 6 = 34
Step-by-step explanation:
Find the missing side length
Please answer this I’ll give you brainliest!!!
Step-by-step explanation:
im not sure
how many subsset can be obtained from the set A={ m, a ,t ,h}
Answer:
Step-by-step explanation:
{m}, {a} , {t} ,{h} ,{m,a}, {m,t} ,{m,h} ,{a,t} ,{a,h} ,{t,h} ,{m,a,t} ,{m,a,h} ,{m,t,h} ,{a,t,h} ,{ m,a,t,h} , {} are the subsets of the given question.
If you found my answer useful then please mark me brainliest.
JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?
Answer:
26
Step-by-step explanation:
45-7=38,
38/2= 19,
19+7=26
Please help me! Will actually mark Brainliest!!!!
Answer:
B
Step-by-step explanation:
what is the answer? please
can someone see and answer this
Answer:
D
Step-by-step explanation:
you can rule out answers A through C because the y values never match up to the ones on the table. D shows an increase in y by 4
Can someone help me on this
9514 1404 393
Answer:
100°
Step-by-step explanation:
Angle AKC is a vertical angle with angle BKD, so has the same measure. Since K is the center of the circle, arc AC has the same measure as angle AKC: 100°.
__
A diagram may help.
please help me with this
:(((
will give 5 stars
Answer:
3x^2+6x
Step-by-step explanation:
the 3rd one
Can y'all help meh please!
Answer:
__________________the answer is C _____________
Answer:
C.
Step-by-step explanation:
The y intercept is when x=0
so (0, -7) is the y-intercept
slope is found when you subtract y-y1/x-x1
-10- (-7) / 9-0
-3/9
simplified is -1/3
slope is -1/3 and y intercept is (0, -7)
the difference of a number t and 9
t-9 or 9-t
solve each equation. 7(x+4)-6(x+3)=x+5
Answer:
7(x+4)-6(x+3)=x+5
or , 7x + 28 - ( 6x + 18 ) = x + 5
or , 7x + 28 - 6x - 18 = x + 5
or , x + 10 = x + 5
The equation is incorrect !!
what is 5x – 8x + 2 + 5=
Answer: -3x+7
Step-by-step explanation: Good luck! :D
Answer:
-3x+7
Step-by-step explanation:
(5x-8x)+(2+5) Like terms together
(-3)x+7 Combine within each group
-3x+7 Simplify the signs in the product
-3x+7 Is your answer
Hope that helps :)
Rose has a rectangular patio that is 5 tiles long and 8 tiles wide. She is changing the dimensions to 10 tiles long by 10 tiles wide. Draw a picture to determine how many new tiles Rose will add to her patio.
A. 5
B. 50
C. 60
D. 100
Answer:
C. 60
Step-by-step explanation:
First we mjust know that area is length times width (this will be the key to help you)
To find the old area we must: 5*8=40
Then we must find the new area: 10*10 = 100
Now we must subtract the tiles to get the new from old: 100-40=60
Therefore, your answer is 60.
Please mark me brainliest.
How many quarters and dimes must Jada have to equal $2 and 17 coins?
quarters: 8
dime: 1
explanation: 8 quarters = 2$ and 1 dime = 10 cents
Find each function value f(-7) if f(x) = 3x + 6
Answer:
-15
Step-by-step explanation:
3*-7=-21+6=-15
Answer:
Step-by-step explanation:
first multiply -7 and 3 since -7 is the element of the function (x)
then you should get (-21)
now add 6 and you answer should be (-15)
pls help i will give brainliest
Answer:
( -4 , 13 )
Step-by-step explanation:
2 ( -4 ) + ( 13 ) = 5
5 = 5
3 ( 13 ) = 15 - 6 ( -4 )
39 = 39
( -4 , 13 )
i need help on questions 4, 5, and 6. please help!
Step-by-step explanation:
4) d = √(3-1)²+(7-(-1))²
=√2²+8² = √4+64 =√68
5) AD=29
AB =2x+4,BC=2x,CD=x
AD = 2x+4+2x+x
29=2x+4+2x+x
29=5x+4
29-4=5x
x=25/5
x=5
AB =2x+4
=2(5)+4 =14
BD = BC +CD
= 2x+x
=2(5)+5 =15
8x-5y=-118x−5y=−118, x, minus, 5, y, equals, minus, 11 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Find the rate of discount for a pair of pants that cost $65 and are on sale for $42.25.
Answer:
35%
Step-by-step explanation:
42.25÷65 = .65
1-.65 = .35
Your favorite shoes were on sale for 35% off. The shoes have a regular price of $160. Sales tax was 4%. What is the total price paid for the shoes including the discount and tax?
Answer:
108.16
Step-by-step explanation:
Pls help, SHOW WORKINGS/ explain
Answer:
C. corresponding angles
Step-by-step explanation:
I think this because 1 and 5 are on the same side and they're angles formed by the transversal line that cuts across
describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4
Someone please help me
Answer:
Hundreds is 8, tenths is 5, and thousandths is 1!
Answer:
Hundreds: 8
Tenths: 5
Thousandths: 1