Answer:
El primer número llamaremos = x
El segundo número llamaremos = x + 1
El tercer número llamaremos = x + 2
Calculamos
x + (x + 1) + (x + 2) = 519
x + x + 1 + x + 2 = 519
x + x + x + 1 + 2 = 519
3x + 3 = 519
3x = 519 - 3
3x = 516
x = 516/3
x = 172
El valor de "x" lo reemplazamos en: (x + 1 y x + 2)
x + 1 = 172 + 1 = 173
x + 2 = 172 + 2 = 174
Respuesta.
Los números son: 172, 173 y 174
172 + 173 + 174 = 519
What is the rate of change of the following equation? 2y + x = -2
Answer:
-1/2
Step-by-step explanation:
The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f(x)=x2,[2,3]f(x)=x2,[2,3]
−12-12
8+6x-5x+2+2x=12 whats x ?
Answer:
The answer is 1
Step-by-step explanation:
combine like terms!
[tex]8+6x-5x+2+2x=12\\8+2+6x-5x+2x=12\\10+6x-5x+2x=12\\10+x+2x=12\\10+2x=12\\2x=2\\x=1[/tex]
hope this helps!!
On Monday, Jayla raised $30 and Carlos raised $50.
After that, Jayla raised $12 per day and Carlos
raised $7 per day. After how many days will they
have raised the same amount?
They will raise the same amount after days.
Answer:
84 days
Step-by-step explanation:
You would use the LCM to solve this.
12 and 7 don't share any common factors other than 1,
so you would multiply 12 x 7, which gets you 84.
After 84 days they would have raised the same amount.
Prove that the value of the expression is not divisible by 6 for any whole n:
(2n+1)(n+5)–2(n+3)–(5n+13).
Answer:
Step-by-step explanation:
(2n+1)(n+5) - 2(n+3) - (5n+13) = 2n² + 4n - 14 (*)
+) if n is divisible by 3 ⇒ n= 3k ⇒ (*)⇔ 2.9k² + 4.9k -14
2.9k² + 4.9k = 3( 2.3k² +4.3k) ║ 3 but 14∦3
⇒ with n =3k, (*)∦ 3 (1)
+) if n = 3k + m (m∦ 3)
⇒ (*) ⇔ 2.(3k+m)² + 4.(3k+m) -14 = 2.9k² + 2.3k.m + 2m² + 4.3k + 4m -14
= 3(2.3k² + 2.km + 4k) +2m² + 4m -14
3(2.3k² + 2km + 4k)║3 but (2m²+4m-14)∦3
⇒ with n = 3k+m, (*) ∦ 3 (2)
(1)(2)⇒ [(2n+1)(n + 5) - 2(n+3) - (5n+13)] ∦ 3
⇒ (2n+1)(n+5)–2(n+3)–(5n+13) is not divisible by 6 for any whole n
║is divisible∦ is not divisibleBonnie bought 5 pounds of apples for 8$. Don bought apples for $0.40 more per pound than Bonnie. How much did Dan spend per pound for his apples?
Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?
What kind of transformation is illustrated in this figure?
A) reflection
B) translation
C) dilation
D) rotation
Answer:
Translation
Step-by-step explanation:
Translation means that it moves without changing shape, and here it just moves to the right, but the shape is still the same
you pay a processing fee and a daily fee to rent a beach house. the table shows the total cost of renting the beach house for different numbers of days.
a) what is the processing fee? the daily fee?
b) you can spend no more than $1200 on the beach house rental. what is the maximum number of days you can rent the beach house?
Answer:
a) The daily fee is $102
The processing fee is $42
b) The maximum number of days the beach house can be rented with no more than $1,200 is (by rounding down) 11 days
Step-by-step explanation:
The data given in the table are as follows;
Number of days (t) [tex]{}[/tex] Total cost, T (dollars)
2 [tex]{}[/tex] 246
4 [tex]{}[/tex] 450
6 [tex]{}[/tex] 654
8 [tex]{}[/tex] 858
Whereby, we have that the processing fee is P, and the daily fee is D, we can write;
Total cost, T = D × t + P
From the table, we have;
When t = 2 days and T = $246, the above equation for total cost becomes;
$246 = D × 2 + P = 2·D + P
246 = 2·D + P.....(1)
Similarly, when t = 6 days, and T = $654, we have;
$654 = D × 6 + P = 6·D + P
654 = 6·D + P.....(2)
Subtracting equation (1) from equation (2) gives;
654 - 246 = 6·D + P - (2·D + P)
408 = 4·D
D = 408/4 = 102
The daily fee, D = $102
From equation (1), we have;
246 = 2·D + P = 2 × 102 + p
p = 246 - 2 × 102 = 42
P = $42
The processing fee, P = $42
b) Given that the maximum amount available (total amount) for spending on the beach house rental = $1200, we have;
T = D × t + P
Where, D = $102 and P = $42 are constants and T = $1,200, we have;
1,200 = 102 × t + 42
t = (1200 - 42)/102 ≈ 11.35 days
Given that we can only rent the beach house for a whole number of days, the number of days the beach house can be rented is therefore, by rounding down, t = 11 days.
a) D = $102
P = $42
b) t = 11 days
Step-by-step explanation:
Given :
Data in the table -
Days (t) Total cost (dollors) (T)
2 246
4 450
6 654
8 858
Calculation :
a) Let the total processing fee is P and the daily fee is D.Now,
[tex]\rm T = D \times t + P[/tex] ------------ (1)
Now, from the table we have ,
When t = 2 days and T = $246 than equation (1) becomes
[tex]\rm 246 = D\times 2+ P = 2D + P[/tex]
246 = 2D + P ------- (2)
Similarly, when t = 6 days, and T = $654, then equation (1) becomes
[tex]\rm 654 = D\times 6+ P = 6D + P[/tex]
654 = 6D + P --------- (3)
Subtracting equation (2) from equation (3) ,
654 - 246 = 6D + P - (2·D + P)
408 = 4D
D = $102
From equation (2),
246 = 2·D + P = 2 × 102 + p
p = 246 - 2 × 102 = 42
P = $42
b) Given:
The maximum amount available for spending on the beach house rental = $1200
Now,
[tex]\rm T= D\times t + P[/tex]
Where, D = $102 and P = $42 are constants and T = $1,200,
1200 = 102t + 42
t = 11.35 days
Given that we can only rent the beach house for a whole number of days. therefore, the number of days the beach house can be rented is, t = 11 days.
For more information, refer the link given below
https://brainly.com/question/15171617?referrer=searchResults
Solve 2(x + 1) = 2x + 2. (1 point)
[tex]\huge\green{Answer}[/tex]
infinite solutions
Explanation:
note that
2(x+1)=2x+2
⇒2x+2=2x+2
since both sides of the equation are equal then any value
of x is a solution to the equation
⇒ there are an infinite number of solutions
Answer:
true
Step-by-step explanation:
2(x + 1) = 2x + 2
2x + 2 = 2x + 2
0 = 0
Write the expression below in standard form.
8h - 3(4 + 5h)
Answer:
Distributed: 8h - 12 + 15hSimplified: 23h - 12Step-by-step explanation:
Apply the distributed property: 8h - 12 + 15hCombine like terms: 23h - 12I hope this helps!
12. The perimeter of a rectangle is 50 feet. The width is 5 less than the
length. What are the dimensions of the rectangle? (Write your answer as
Length, Width)
Step-by-step explanation:
Length = x
Width = (x-5)
Perimeter = 2 lengths + 2 widths
50 ft = x + x + (x-5) + (x-5)
50 ft = 4x - 10
60 ft = 4x
15 ft = x
length = x = 15 ft
width = (x-5) = (15 -5) = 10 ft
dimensions = length × width
= 15 ft × 10 ft
if you wanna check,
50 ft = x + x + (x-5) + (x-5)
50 ft = 15 + 15 + (15-5) + (15-5)
50 ft = 30 +(10+10)
50 ft = 30 + 20
50 ft = 50
How many 1/8's are in 1/2 inch?
A.
8.
B
6
c
4
D
3
Answer:
C
Step-by-step explanation:
4.)
Given ZBAM is a right angle and mZBAM = 4x + 22,
determine the value of x. Enter the NUMBER only.
Do NOT put x = . It will mark it wrong.
Your answer
I
Answer:
17
Step-by-step explanation:
ZBAM= 90
90=4x+22
90 minus 22= 68
68=4x
68 divided by 4=17
I need help !!!!! Please !!!! Thank youuu
Answer:
∠ S = 55°
Step-by-step explanation:
∠ R and ∠ S are vertical angles and congruent, thus
∠ S = ∠ R = 55°
The figures are similar. Find the missing length
Answer:
4.5 feet, or is there is 5 feet as an option, then 5 feet.
Step-by-step explanation:
ya just subtract
easy 8th grade math please help
Answer:
25x<25x
Step-by-step explanation:
i think its that
Answer:
1 ≤ x
Step-by-step explanation:
20 + 5x [tex]\leq[/tex] 5(1 + 4x)
20+ 5x ≤ 5 + 20x
-5x -5x
20 ≤ 5 + 15x
-5 -5
15 ≤ 15x
÷15 ÷15
1 ≤ x
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
Answer:
x3+y3+z3=k with k is integer from 1 to 100
solution x=0 , y=0 and z=1 and k= 1
For K= 1 , we have the following solutions (x,y,x) = (1,0,0) ; or (0,1,0) ; or (0,0,1) ,
For k =1 also (9,-8,-6) or (9,-6,-8) or (-8,-6,9) or (-8,9,-6) or (-6,-8,9) or (-6,9,8)
And (-1,1,1) or (1,-1,1)
=>(x+y)3−3x2−3xy2+z3=k
=>(x+y+z)3−3(x+y)2.z−3(x+y).z2=k
=>(x+y+z)3−3(x+y)z[(x+y)−3z]=k
lety=αand z=β
=>x3=−α3−β3+k
For k= 2 we have (x,y,z) = (1,1,0) or (1,0,1) or (0,1,1)
Also for (x,y,z) = (7,-6,-5) or (7,-6,-5) or (-6,-5,7) or (-6,7,-5) or (-5,-6,7) or (-5,7,-6)
For k= 3 we have 1 solution : (x,y,z) = (1,1,1)
For k= 10 , we have the solutions (x,y,z) = (1,1,2) or (1,2,1) or (2,1,1)
For k= 9 we have the solutions (x,y,z) = (1,0,2) or (1,2,0) or (0,1,2) or (0,2,1) or (2,0,1) or (2,1,0)
For k= 8 we have (x,y,z) = ( 0,0,2) or (2,0,0) or (0,2,0)
For k= 17 => (x,y,z) = (1,2,2) or (2,1,2) or ( 2,2,1)
For k = 24 we have (x,y,z) = (2,2,2)
For k= 27 => (x,y,z) = (0,0,3) or (3,0,0) or (0,3,0)
for k= 28 => (x,y,z) = (1,0,3) or (1,3,0) or (1,3,0) or (1,0,3) or (3,0,1) or (3,1,0)
For k=29 => (x,y,z) = (1,1,3) or (1,3,1) or (3,1,1)
For k = 35 we have (x,y,z) = (0,2,3) or (0,3,2) or (3,0,2) or (3,2,0) or 2,0,3) or (2,3,0)
For k =36
we have also solution : x=1,y=2andz=3=>
13+23+33=1+8+27=36 with k= 36 , we have the following
we Have : (x, y,z) = (1, 2, 3) ; (3,2,1); (1,3,2) ; (2,1,3) ; (2,3,1), and (3,1,2)
For k= 43 we have (x,y,z) = (2,2,3) or (2,3,2) or (3,2,2)
For k = 44 we have ( 8,-7,-5) or (8,-5,-7) or (-5,-7,8) or ( -5,8,-7) or (-7,-5,8) or (-7,8,-5)
For k =54 => (x,y,z) = (13,-11,-7) ,
for k = 55 => (x,y,z) = (1,3,3) or (3,1,3) or (3,1,1)
and (x,y,z) = (10,-9,-6) or (10,-6,-9) or ( -6,10,-9) or (-6,-9,10) or (-9,10,-6) or (-9,-6,10)
For k = 62 => (x,y,z) = (3,3,2) or (2,3,3) or (3,2,3)
For k =64 => (x,y,z) = (0,0,4) or (0,4,0) or (4,0,0)
For k= 65 => (x,y,z) = (1,0,4) or (1,4,0) or (0,1,4) or (0,4,1) or (4,1,0) or (4,0,1)
For k= 66 => (x,y,z) = (1,1,4) or (1,4,1) or (4,1,1)
For k = 73 => (x,y,z) = (1,2,4) or (1,4,2) or (2,1,4) or (2,4,1) or (4,1,2) or (4,2,1)
For k= 80=> (x,y,z)= (2,2,4) or (2,4,2) or (4,2,2)
For k = 81 => (x,y,z) = (3,3,3)
For k = 90 => (x,y,z) = (11,-9,-6) or (11,-6,-9) or (-9,11,-6) or (-9,-6,11) or (-6,-9,11) or (-6,11,-9)
k = 99 => (x,y,z) = (4,3,2) or (4,2,3) or (2,3,4) or (2,4,3) or ( 3,2,4 ) or (3,4,2)
(x,y,z) = (5,-3,1) or (5,1,-3) or (-3,5,1) or (-3,1,5) or (1,-3,5) or (1,5,-3)
=> 5^3 + (-3)^3 +1 = 125 -27 +1 = 99 => for k = 99
For K = 92
6^3 + (-5)^3 +1 = 216 -125 +1 = 92
8^3 +(-7)^3
Step-by-step explanation:
x-2y=-13 4x=2y=18 subsitutuion
Q(8,7), r(-7,2) s(8,13),t(-11,2) is it parallel
Answer:
it’s neither parallel or perpendicular
Step-by-step explanation:
What property is 4(x+5)=(x+5)4
Answer:
Distributive propery
Triangle ABC is rotated by 135 degrees about point S to create A'B'C' what is the perimeter of ABC
Answer: 12.9
Step-by-step explanation:
5.1 + 2 + 5.8 = 12.9
The perimeter of the triangle ABC is 12.9 units.
What is the perimeter of a triangle?The perimeter of a triangle is the sum of length of three sides of the triangle.
Given, the triangle ABC is rotated by 135 degrees about point S to create the triangle A'B'C'.
We know, after rotation of a figure, the whole dimension of the figure remains the same.
Therefore, AB = A'B' = 5.1 units
BC = B'C' = 2 units
CA = C'A' = 5.8 units
Hence, the perimeter of the triangle ABC
= (5.1 + 2 + 5.8) units
= 12.9 units
Learn more about the perimeter of a triangle here: https://brainly.com/question/19219426
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Solve for z -7z/35=3
Answer:
Z= [tex]-\frac{3}{245}[/tex]
Step-by-step explanation:
Of the 650 students at Westmoreland Junior High, 4% will receive a perfect attendance award. How many students will receive the award? *
Answer:
It would be 26
Step-by-step explanation:
Hope this helps4. A person is earning P600 per day to do a certain job. Express the total salary
S as a function of the number n of days that the person works.
Answer: S = P600 × n
Step-by-step explanation:
Amount earned per day = P600
Number of days used = n
The total salary s, will be the value of p600 multiplied by n. This will be:
= P600 × n
Therefore, the function regarding the total salary, s will be: P600 × n
An equivalent fraction for 2/3 is ____
2/6
10/15
8/15
1/3
what is the absolute of the integer of 6
Answer:
i think its 6...
Step-by-step explanation:
it's basically how far is it from 0 sooo
Answer:
6
Step-by-step explanation:
Positive 6 is six away from 0, therefore the answer is 6.
Put the following numbers in order (from
largest to smallest):
-55.5, -12.2, -12, -55
Answer:
-12.2, -12, -55.5 and -55
Answer:
Hey mate......
This is ur answer......
-55.5< -55< -12.2< -12
hope it helps,
mark me as the brainliest,
follow me....
The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?
Answer:
17%
Step-by-step explanation:
$30-100%
$35-x%
x%=35*100/30
x%=116.6%
116.6%-100%=16.6%~17%
Is a teachers popularity independent of their effectiveness? Yes or No
Answer:
Yes it is (Hope this helped!)
I need help with this
Answer:
B
Step-by-step explanation:
