Answer:
( - infinity, 3.75) x < 3.75
Step-by-step explanation:
x - 4 < 11 - 3x
x < 15 -3x
4x < 15
x < 3.75
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
I need help with this
Answer:
B
Step-by-step explanation:
simplify.show work
(3·9-3²)-10
thanks please show work
Answer:
8
Step-by-step explanation:
We will use a variety of elementary arithmetic skills to evaluate this expression.
The order of operations goes as follows:
P-Parentheses
E-Exponents
M-Multiplication
D-Division
A-Addition
S-Subtraction
For M and D, they are to be done left to right. Same with A and S. Now, we will apply this to our expression.
[tex](3*9-3^2)-10\\(3*9-9)-10\\(27-9)-10\\18-10\\8[/tex]
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:
-95=14x-7+30x
plz show work ty :)
Answer:
x = -2
Step-by-step explanation:
-95= 14x - 7 + 30x (collect like terms)
-95 = 44x - 7 (add 7 on each side)
-88 = 44x (divide by 44 on each side)
-2 = x
suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4
Answer:
15
Step-by-step explanation:
I hope you have a great day and welcome to brainly!
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
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
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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Bonnie 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?
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
HELP PLZ RN<3
which graph displays a rate of change of 2.5?
Answer:
The second graph.
Step-by-step explanation:
The first graph has a negative slope, so that can't be the right answer.
The last graph isn't steep enough to show a rate of 2.5.
This leaves us with the middle graph which is correct.
How many 1/8's are in 1/2 inch?
A.
8.
B
6
c
4
D
3
Answer:
C
Step-by-step explanation:
If you buy a ticket in a certain lottery game, 30% of the players will get paid 1
$2,20% of the players will get paid $5, and 5% of the players will get paid
$25. All other players get paid nothing. What is the expected amount that a
player of this lottery game will get paid?
Answer:
most are expected to get nothing
Answer:
You're at a carnival and you see a game. For $2 you roll a standard six-sided die. If the number showing is a six you win $10, otherwise, you win nothing. If you're trying to make money, is it in your interest to play the game? To answer a question like this we need the concept of expected value
Step-by-step explanation:
An equivalent fraction for 2/3 is ____
2/6
10/15
8/15
1/3
Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?
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°
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!!
Solve for z -7z/35=3
Answer:
Z= [tex]-\frac{3}{245}[/tex]
Step-by-step explanation:
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
What is an equation of the line that passes through the points (4, -1) and
(-8, – 7)? Put your answer in fully reduced form.
Answer:
y= x/2-3
Step-by-step explanation:
Is a teachers popularity independent of their effectiveness? Yes or No
Answer:
Yes it is (Hope this helped!)
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.
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%
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!
4. 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
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:
x-2y=-13 4x=2y=18 subsitutuion
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.
Jessica had 167 dollars to spend on 6 books. After buying them she had 17 dollars. How much did each book cost ?
Answer:
6 $
Step-by-step explanation:
167$-17$=150$cost 6 books
150 $:6 =25$cost a book