Step-by-step explanation:
yes ........................................ ..
the equation 12m + 4n = 480
factorize: (2a+b)^3+(a+2b)^3
Answer:
9(a+b) x (a²+ab+b²)
Step-by-step explanation:
expand the brackets collect like terms remove the brackets collect like terms factorise reorder the terms multiplyyou 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
please help me I really need it
Answer:
53/3
a
f
e
b
34
Step-by-step explanation:
Inez says you can plot 4/0 on a number line, but Jeremiah says you cannot. Who is correct?
Answer:
Jeremiah.
Step-by-step explanation:
Anything divided by 0 is undefined. There is no such number that can be divisible by 0.
Write an equation of the line in y intercept form that passes through the point (0, 0) and is perpendicular to line y=-9x-1
Answer:
Step-by-step explanation:
perp. 1/9
y - 0 = 1/9(x - 0)
y = 1/9x
HelpppppppPPPPPPPPPPPPPPPP
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
If you solve this inequality you should get...
[tex]4<3+4x\\1<4x\\\frac{1}{4} <x[/tex]
So I don't know if you can but the answer is all three because 9, 7, and 1 are all greater than [tex]\frac{1}{4}[/tex].
The midpoint of AB is M(7,-5). If the coordinates of A are (6, - 7), what are the
coordinates of B?
Answer:(8,-3)
Step-by-step explanation:
X2=8 Y2=-3
passes through (-7, -4) parallel to y=1/2x+9
Answer:
y = 1/2x -.5
Step-by-step explanation:
We know that is the line is parallel to the equation then the slopes are going to be the same we just have to find the a different y-intercept.
It's a simple as this just plug the points into the equation you have like this.
(-7,-4) (PLUG IN)
-4 = 1/2(-7) +b (I do plus be so we can get another y intercept)
-4 = -3.5 + b (add 3.5 on each side)
-.5 = b
the equation parallel to the first one is...
y = 1/2x -.5
What is the answer for this question? 6x^2 - 35x + 49 ( factorising quadratics btw)
Answer:
x=7/2 x=7/3
Step-by-step explanation:
|-1.43| - 7.1 + |-1.21| answer please
Hello.
Numbers with | | around them are the absolute value, meaning it is always positive.
|-1.43| and |-1.21| become 1.43 and 1.21
The equation is now 1.43 - 7.1 + 1.21
Solve.
1.43 - 7.1 + 1.21
-5.67 + 1.21
-4.46
-4.46 is the final answer.
Which of the following are true statements? Select all that apply.
All integers are rational numbers.
Repeating decimals are not rational numbers.
StartFraction 715 over negative 14 EndFractionis not a rational number.
Terminating decimals are rational numbers.
0.278254….. is a terminating decimal, therefore it is a rational number.
Answer:
A . All integers are rational numbers.
D . Terminating decimals are rational numbers
E 0.278254….. is a terminating decimal, therefore it is a rational number.
Step-by-step explanation:
Please mark brainiest please
Evaluate x2+8x+5 when x=−2.
Answer:
25
Step-by-step explanation:
Hope This Helps!
Plz Mark Brailiest!
-7.09 =
as a fraction
Answer:
- 7 9/100 or in a improper fraction - 709/100
Step-by-step explanation:
hope this helps
Answer:
- 7 9/100 :D
Step-by-step explanation:
Audrey already has 2 plants in her backyard, and she can also grow 1 plant with
every seed packet she uses. Write an equation that shows the relationship
between the number of seed packets x and the total number of plants y.
3/8 + (-7/8) As a fraction.
Answer:
7/8 x 3/8 = 21/64 in fraction form. 7/8 x 3/8 = 0.3281 in decimal form.
Step-by-step explanation:
there you go have a good day
Just add across. (3+-7)/8 = -4/8, or -1/2
Which of following statements best describes the differences between a Prokayote Cell and a Eukayote Cell. There can be more than one
answer
b
Prokaryote cells have no cell membrane but more of a capsule while eukaryote cells have a true cell membrane.
Prokaryotic cells have a nucleus while eukaryote cell have no true nucleus.
Eukaryotic cells are found in plants, animals, and fungi while prokaryote cells are found in bacteria and archaea.
Eukaryotes do not have ribosomes while prokaryote cell have larger protein producing ribosomes.
d
What is the answer for this one
Answer:
a
Step-by-step explanation:
Answer:
The answer should be a I hope this helps
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Answer:
∠ABC and ∠q : corresponding angles∠p and ∠q : supplementary angles∠p and ∠BCD : alternate angles∠q and ∠n : supplementary angles∠n and ∠m : corresponding anglesStep-by-step explanation:
Corresponding angles form on the matching corners of a transversal when two parallel lines are crossed by a transversal. Example angles: ∠ABC and ∠q
and ∠n and ∠m .
Supplementary angles are those that form on a straight line and their measures add up to 180°. Example angles : ∠p and ∠q and ∠q and ∠n
Alternate angles form on the opposite position relative to the transversal that cuts the two lines. Example : ∠p and ∠BCD
Sarah needs to buy 21/25 meters of chain for a home project which decimal number is equivalent to 21/25
A. 8.4
B. 8.04
C. 0.84
D. 0.804
40+5-9x+4
I need help with this it needs to be simplified
Step-by-step explanation:
40 + 5 - 9x + 4
45 - 9x + 4 = 0
41 - 9x = 0
41 = 9x
41/9 = x
A submarine’s elevation is −280 feet relative to sea level. A shark is swimming at an elevation of −20 feet. What is the difference in elevation between the submarine and the shark?
Answer:
260 ft
Step-by-step explanation:
-280+20=260
You are adding air to a tire. The air pressure in the tire should be 24 27 200 pounds per square inch. What decimal should you watch for on the digital pressure gauge?
Answer:
P = 24.135 pounds per square inch
Step-by-step explanation:
The air pressure in the tire should be [tex]24\dfrac{27}{200}[/tex] pounds per square inch. This pressure is in the form of a mixed fraction. It is required to convert this pressure into a decimal form. We can convert it as follows :
[tex]24\dfrac{27}{200}=\dfrac{(24\times 200)+27}{200}\\\\=24.135\ \text{pounds/square inch}[/tex]
In decimal form, the value of pressure in the tire on the digital pressure gauge is 24.135 pounds per square inch.
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Candace ate 3 over 4 cup of cereal. The box of cereal states that one serving of cereal is equal to 2 over 3 cup. Which fraction represents the number of servings Candace ate?
Answer: Candace ate [tex]\dfrac9{12}[/tex] servings.
Step-by-step explanation:
Given: Candace ate [tex]\dfrac34[/tex] cup of cereal.
The box of cereal states that 1 serving of cereal = [tex]\dfrac23[/tex] cup.
i.e. 1 cup = [tex]\dfrac32[/tex] servings [Multiply [tex]\dfrac32[/tex] both sides]
⇒ [tex]\dfrac{3}{4}[/tex] cup = [tex]\dfrac34\times\dfrac32[/tex] servings
= [tex]\dfrac9{12}[/tex] servings [which is the number of servings she ate]
Hence, Candace ate [tex]\dfrac9{12}[/tex] servings.
18pts Solve for x. -3x + 6 = 2x - 24
A) -30
B) -6
C) 6
D) 30
Answer: B
Step-by-step explanation: x = 6
The sum of three consecutive integers is 186. What are the integer
Answer: 61, 62, 63
Step-by-step explanation:
61 + 62 + 63 = 186
Consider the two functions f(x) and g(x), where f(x) = 2x and g(x) is graphed below.
Graph of g(x)
Compare the rate of change of the two functions on the interval 2 ≤ x ≤ 3.
The rate of change of the function g(x) is greater than f(x).
The rate of change of the function f(x) is greater than g(x).
The rate of change of the function f(x) and g(x) are the same.
The slope of the graph is 2 .
So the rate of change of g(x) is 2, just like f(x).
In fact, g(x) is also = 2x, just like f(x) .
1 11/12 + 9/12
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The marching band walks 1/15 mi in 1.5 min. At this rate, how many minutes will it take to complete 1 mile ?