[tex]\qquad[/tex]____________________
It’s given–
The sum of three consecutive even numbers is 42.[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x +6 =42[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x = 42-6[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 3x =36[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel {\dfrac{36}{3}}[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf\longrightarrow x = 12}[/tex] ( which is our lowest integer.)
The smallest of these numbers is 12. And the next two integers we find with 12+2=14 and 12+4=16.[tex]\qquad[/tex]____________________
Given :
Sum of three consecutive even numbers is 42. We are to find the smallest of the smallest consecutive even number.[tex] \: [/tex]
Solution :
Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .
So,
According to the Question :
x + (x + 2) + (x + 4) = 42
⇢x + x + 2 + x + 4 = 42
⇢ x + x + x + 2 + 4 = 42
⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6
⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3
⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12
Hence, 12 is the smallest consecutive even number.
The population of a town was 5655 in 2010. The population grows at a rate of 2.6% annually.
(a) Use the exponential growth model to write an equation
that estimates the population t years after 2010.
(b) Fill in the following table for each value of . Show your work. You may use a calculator to
calculate the final answer. Round your answers to the nearest whole number.
The exponential equation used to represent the population of the town is given by y = 5655(1.026)ˣ
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population remaining after x years.
The population grow at the rate of 2.6% annually. Hence:
b = 100% + 2.6% = 1.026
There are initially 5655 people, hence a = 5655.
The equation becomes:
y = 5655(1.026)ˣ
Find out more at: https://brainly.com/question/7259975
The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.
Answer: 22.5 kg
Step-by-step explanation:
You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.
I need help with this badly.
A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?
Answer:
12
Step-by-step explanation:
Kris and his dad built an ice rink. The area is 74.4 sq meters. The length is 12 meters what is the width
Answer:
6.2 meters
Step-by-step explanation:
1) area = l*w
74.4 = 12x
x=6.2
A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
Answer: 12° can be a possible angle of rotational symmetry
From 175 yards away, a marksman hit 14/50 of the targets last year.
Increasing y = - 12× + 4
11/2-2/3 help me plz
4.83
answer above answer above answer above
Please help mee!!! I really need it Thank youu!!! <3
Answer:
k < 3 should do it
Step-by-step explanation:
Plz help me well mark brainliest!….
Is 14,015,289 divisible by 8?
Answer:
yes but there will be a decimal
Step-by-step explanation:
Only 19 and 21!!!!!
Thank You!!!!
Step-by-step explanation:
19. 4x² - 13x + 3
4x² - 1x - 12x + 3
x(4x - 1) -3(4x - 1)
x-3 4x-1
Help me please, thank you very much.
Answer:
8.9274
Step-by-step explanation:
you need to square both sides then add it together and then find the square root of the new number
9 + 6 + 5+ 15
Is that
A cube has a volume of 1000cm^3. Work out the surface area Of the cube.
Answer:
600
Step-by-step explanation:
V = s×s×s = s³
V = 10×10×10 =1,000
Surface area
6a² = 6(10²) =600
whats 3-6h if h = -1
Answer:
9 is the answer.
Step-by-step explanation:
Given:
h = -1=> 3-6h
=> 3 - 6(-1)
=> 3 + 6
=> 9
Therefore, 9 is the answer.
Hoped this helped.
I need help asap!! pls pls PLS help
Answer:
Step-by-step explanation:
It's the third choice. Since the triangles are given as similar and they are right triangles, points A, B, and D are all on the hypotenuses of those 2 triangles and are co-linear. The slope between all points on a single line is constant.
whats 4000+60=
and whats 60+4000=
Answer:
4060
Step-by-step explanation:
Answer:4060
Step-by-step explanation:
What is the sale price with 15% off? Original price: $110 of bears head phones
Answer:
93.5
Step-by-step explanation:
PLEASE HELP! Look at the image and please help me
Answer:
Step-by-step explanation:
its b
Ray had $50. he bought two shirts that cost $19 each. how much money did Ray have after buying the shirts? Alex's answer to the word problem is $29. Is Alex's answer reasonable? explain.
Answer: No, it's not
Step-by-step explanation:
19*2=38
50-38 = 12
Alex awnsered 29 which is $17.00 off.
A monkey is swinging from a tree, on the first swing, she passes through an arc of 10 m. with each swing she passes through an arc 9/10 the length of the previous swing. what is total distance the monkey has traveled when she completes her 25th swing
Answer:
≈ 92.821 m
Step-by-step explanation:
For a geometric series with initial value a and rate r, the sum after n terms can be represented by
a*(1-r^n)/(1-r)
Here, we know a = 10 (the first swing), r = 9/10 because the second swing was 9/10 of the first swing, meaning we multiply the first swing by 9/10 to get the second swing, and n = 25. Plugging these values in, we get
10 * (1-0.9^25)/(1-0.9) ≈ 92.821 m
What percent of 38 is 12
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]\frac{38}{100} (12)[/tex]
[tex]=(\frac{38}{100} )(\frac{12}{1} )[/tex]
[tex]=(\frac{19}{50} )(\frac{12}{1} )[/tex]
[tex]=\frac{(19)(12)}{(50)(1)}[/tex]
[tex]=\frac{228}{50}[/tex]
[tex]=\frac{114}{25}[/tex]OR[tex]4.56[/tex]
ANSWER:
[tex]\frac{114}{25}, OR: 4.56[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
Find the amount that results from a $900 investment invested at 7% interest,
compounded continuously, after 4 years.
simplify:(⅓x²-8y) and (⅓x²+8y). Also find its value when x=1 and y=3
Answer:
the answer is is c I promise
Step-by-step explanation:
I just took the test
Answer:
-23.66666667
(⅓x²-8y)
Step-by-step explanation:
(⅓x²-8y) is the simplest form :)
There were 560 people at a play. The admission price was $2 for
adults and $1 for children. The admission receipts were $860.
How many adults and how many children attended?
Answer:
• For this one we need to split this problem into two equations:
• a (adults) + c (children) = 560
• 2a + c = $860
• Then we substitute 560 - a for c in the second equation.
2a + 560 - a = 8602a + 560 = 8602a = 5302a = 265• Then we plug this into the first equation:
265 + c = 560c = 295Step-by-step explanation:
I hope this helps you !!y=1/4x−2y=−2x+3 help solve problem.
Answer:
(x, y) = (2 2/9, -1 4/9)
Step-by-step explanation:
Equate the values of y and solve for x.
1/4x -2 = -2x +3
(2 1/4)x = 5 . . . . . . . . add 2+2x to both sides
x = 20/9 = 2 2/9 . . . multiply by 4/9
y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation
y = -1 4/9
The solution is x = 2 2/9, y = -1 4/9.
Exercise on Properties/Laws of Sets Simplify each of the following identities to its simplest form, using the laws of sets; (i) (An B) U (AU B')'
(ii) An (AUB)
(iii) (CUA N (BUA)
Ashton is 3 times the age of Jason. Ashton is 6 years older
than Nolan. Jason is 7 years old. How old is Nolan? Explain
Answer:
nolan is 15,
Step-by-step explanation:
3*7=21-6=15
solution:
age of Jason is 7
and Ashton is 3 times age of Jason=7*3=21
Nolan age=21-6=15
therefore the age of Nolan is 15 years