Answer:
10 [tex]\frac{1}{8}[/tex] = [tex]\frac{81}{8}[/tex]
Step-by-step explanation:
Given
(m - 10)(8m - 1) = 0
Equate each factor to zero and solve for m
m - 10 = 0 ⇒ m = 10
8m - 1 = 0 ⇒ 8m = 1 ⇒ m = [tex]\frac{1}{8}[/tex]
Thus sum of roots = 10 + [tex]\frac{1}{8}[/tex] = 10 [tex]\frac{1}{8}[/tex] = [tex]\frac{81}{8}[/tex]
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°
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!
simplify.show work
30-2(3²+6)
thanks
Answer:
30−2(32+6)
=30−2(9+6)
=30−(2)(15)
=30−30
=0
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:
This is 1.5 Finding the missing Angle Relationship. Can someone help me or correction, (DO) lol Problems 1-10. :) thank you.
wut is the soulotion to this eqation2x+10=28
Answer:
x=9
Step-by-step explanation:
Step 1: Subtract 10 from both sides.
2x+10−10=28−10
2x=18
Step 2: Divide both sides by 2.
2x /2 = 18 /2
I need help 0ls respond
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.
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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:
Find the slope of the following line containing the following points (4,5) and (11,33)
richard is walking around his neighborhood. if he walks 1/3 mile in 1/6 hour, how fast is richard walking, in miles per hour?
Answer:
2 miles per hours
Step-by-step explanation:
You divide 1/3 mile by 1/6 hour
Use the reciprocal.
1/3 x 6/1 = 2/1
Simplify
2/1 = 2
You can also solve it this way:
If 1/6 hour is 10 minutes, and it takes 10 minutes to walk 1/3 a mile, then it would take 30 minutes to walk a mile.
30 x 2 = 60
Either way, Richard walks 2 miles per hour.
Richard is walking at an average speed of 2 miles per hour which is the correct answer would be option (B).
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
To determine how fast is Richard walking, in miles per hour
We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time
Total distance traveled by Richard = 1/3 mile
The total time taken = 1/6 hour
Average speed = the total distance / the total time
Average speed = (1/3) / (1/6)
Reciprocal the denominator term, and we get
Average speed = (1/3) × 6
Average speed = 2 miles per hour
Therefore, he is at an average speed of 2 miles per hour
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PLEASE HELP ME i will give points
Answer:
40 degrees
Step-by-step explanation:
There are parallel lines and a transversal. That means that angle a and b are congruent due to corresponding angles theorem.
5x-5=3x+13
Move the variables on one side and numbers on the other. 2x=18
Finally, x=9 And then after you plug it in, your final answer for angle b is 40 degrees.
Answer:
Step-by-step explanation:
Well both angles are the same because the lines are parallel and then there is a line going through them so <A = <B meaning
5x-5=3x+13 and then you solve
5x - 3x = 13 + 5
2x = 18
x = 9
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
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we are going to paint the walls in our living room. two walls measure 22 feet by 9 feet and two walls measure 26 feet by 9 ft what is the total wall area that will be painted if a gallon of paint cover 144 square feet how many gallons will we need
Answer:
You will need 3 gallons and the total square feet is 432.
Step-by-step explanation:
I hope this helps. Have a good day!
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
if a=1/8 and c=4, find b
Answer:
A=1\8
c=4
then b=2
i am only do this by getting fun and do for help other
The value of [b] if a = 1/8 and c = 4 will be 33/16.
What is the mean of two numbers?
The mean of two numbers [a] and [b] is -
[M] = (a + b)/2
Given is that a = 1/8 and c = 4.
We have the following values -
a = 1/8
c = 4
Therefore, we can write the value of [b] as -
b= (1/8 + 4)/2
b = (33/8)/2
b = 33/8 x 1/2
b = 33/16
Therefore, the value of [b] if a = 1/8 and c = 4 will be 33/16.
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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
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
Solve for z -7z/35=3
Answer:
Z= [tex]-\frac{3}{245}[/tex]
Step-by-step explanation:
Evaluate x2+8x+5 when x=−2.
Answer:
25
Step-by-step explanation:
Hope This Helps!
Plz Mark Brailiest!
7. Tristan has $400 in his checking account at the
beginning of August. He wants to have at least $150 in
account by the end of the year. He withdraws $15 each
week for his own use. Write an inequality representing
the scenario. BONUS: How many weeks can Tristan
withdraw money from his account?
6
A. 400 - 15x 2150
C. 400 - 15x > 150
B. 400 - 152 s 150
D. 400 - 15x< 150
Answer:
C
Step-by-step explanation:
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 divisibleANSWER ASAPPPP ‼️‼️‼️
ANSWER PICTURE!!!!!!!
Answer:
1/2
Step-by-step explanation:
see attached picture.
Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?
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....
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
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 helps8+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!!
