Step-by-step explanation:
2f - 3(4f - 5g) + 5g +7fg
multiply the 3 in
2f - 12f - 15g + 5g + 7fg
add or subtract common terms
-10f -10g +7fg will be your final answer
Answer:
Step-by-step explanation:
As the question did not say how to 'solve the question', I would assume it will be to simplify the equation, as there is no way of solving an expression without an answer.
Simplify:
2f - 3(4f-5g) + 5g +7fg
Get rid of the parentheses
2f - 12f - 15g + 5g +7fg
Simplify similar expressions
-10f - 10g + 7fg
Therefore, 2f - 3(4f-5g) + 5g +7fg simplified is equal to -10f - 10g + 7fg.
Gary rents three DVDs each week at Fantastik Flicks. Write an algebraic expression for Wn, the total number of points earned in the nth week
For the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
Your question is not complete, it seems it is missing the following information below;
DVD rentals: 1 2 3
Total DVD points: 3 5 7
The number of points earned is a function of number of DVD rentals.
For the first DVD, the number of points earned;
[tex]n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned[/tex]
3 = 1 + c
3- 1 = c
2 = c
For nth week the total point earned is given as;
[tex]n_t_h = p_n + c\\\\n_t_h = p_n + 2[/tex]
Thus, for the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
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Here we have a problem with arithmetic sequences.
After a small online search, I've found that:
Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental
And so on.
We will find that the total of points in the n-th week is given by:
Wₙ = 15 + (n - 1)*18
Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...
We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15
For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33
For the third week, the total number of points is: W₃ = (15 + 17 + 19) = 51
Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.
W₂ - W₁ = 33 - 15 = 18
W₃ - W₂ = 51 - 33 = 18
So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.
Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18
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collection of even numbers is well defined set or not
Answer:
set of even counting number is well-defined
What is the measure of ZA?
Select the best answer from the choices provided.
A. 35
B. 55°
С.70°
D.110°
Answer:
55°
Step-by-step explanation:
Since two of the sides are the same length, that means ∠A and ∠B are the same.
All angles of a triangle add up to 180°
180 - 70 = 110
To find ∠A, we just divide 110 by 2
110 ÷ 2 = 55
Both ∠A and ∠B are 55°
Here is the histogram of a data distribution. All class widths are 1
What is the median of the distribution?
Answer:
it is d
Step-by-step explanation:
thank me later yung bloods
Write the Roman Numeral CLXIV in standard form. Roman Numeral Standard Number 1 5 10 50 100 500 1,000 X L C D A) 169 B) 166 C) 164
Answer:
164
Step-by-step explanation:
in standard form CLXIV IS 164
What decimal is equal to the following fraction?
12/20
Answer:
It is 0.6
Step-by-step explanation:
[tex] \frac{12}{20} [/tex]
divide numerator and denominator by 2:
[tex] = \frac{12 \div 2}{20 \div 2} \\ \\ = \frac{6}{10} [/tex]
since it's a tenth, it becomes a value with out decimal place:
[tex] = 0.6[/tex]
Complete the table for the given rule. Rule: y x/4 (fraction)
x y
fill in | 4
fill in | 2
fill in | 9
Answer:
16, 8, 36
Step-by-step explanation:
x = 4y
y = 4, x = 16
y = 2, x = 8
y = 9, x = 36
how to understand hypabolic equations
Answer:
The wave equation utt − uxx = 0 is hyperbolic. The Laplace equation uxx + uyy = 0 is elliptic.
Jade purchased a game controller for $14.65 including tax. How much did she get from a twenty-five dollar bill?
Answer:
$5.35
Step-by-step explanation:
20-14.65=5.35
3. For the sequence defined by tn= 3n + 8,
find each indicated term.
a) t1
b) t7
c) t14
Step-by-step explanation:
Hi there!
According to the question;
nth term (tn) = 3n+8
a).
T1 = 3*1+8
= 11
b).
t7 = 3*7+8
= 29
c).
t14 = 3*14+8
= 50
Therefore, t1 = 11, t7 = 29, t14 = 50.
Hope it helps!
Answer:
11, 29, 50
Step-by-step explanation:
To find the appropriate term , substitute the term number into the rule, that is
(a) t₁ = 3(1) + 8 = 3 + 8 = 11
(b) t₇ = 3(7) + 8 = 21 + 8 = 29
(c) t₁₄ = 3(14) + 8 = 42 + 8 = 50
Jamal buys a strip of 25 postage stamps. The strip of stamps is 21 7/8 inches long. How long is each stamp?
Rewrite the length as an improper fraction.
21 7/8 = 175/8
Write the quantity of stamps as a fraction: 25/1
Divide length by number of stamps:
175/8 / 25/1
When dividing by a fraction change the sign to multiplication and flip the second fraction over:
175/8 x 1/25.
Now multiply numerators and then denominators:
(175 x1) / (8x 25) = 175/200
Simplify to 7/8
Each stamp is 7/8 inches long
urgent answer needed pls
Answer:
It's 87.
Step-by-step explanation:
See the picture upside down.
If 3 sin A + 4 cos A =5, show that sin A=3÷5
you can use both either (4tanA+3) or, (4tanA-3)
hope this helped you ☺️
any confusion comment it and let me know.
A number line shows 1 1/5, −2 2/5, and −1 3/5. Which statement is NOT true?
Answer:
The answer Is A 1 1/5 < -2 2/5
Step-by-step explanation:
It says that this statement is true because 1 1/5 is to the left of -2 2/5 on the number line but it is actually to the right because -2 2/5 is negative while 1 1/5 is positive therefore making it larger and the correct statement would be that 1 1/5 > -2 2/5
Solve using any method. All work must be shown and handwritten.
3x-y=-10
x+y=-2
show how it is solved please <3
Answer:
[tex]x = - 3[/tex]
[tex]y = 1[/tex]
Step-by-step explanation:
Write the system
[tex]3x - y = - 10[/tex]
[tex]x + y = - 2[/tex]
Solve by Elimination.
multiply the second equation by -3.
[tex]3x - y = - 10[/tex]
[tex] -3x - 3y = 6[/tex]
Add the Equations.
[tex] - 4y = - 4[/tex]
[tex]y = 1[/tex]
Plug this back in one of the equations.
[tex]x + 1 = - 2[/tex]
[tex]x = - 3[/tex]
Answer:
x = -3
y = 1
Step-by-step explanation:
3x - y = -10
x + y = - 2
x + y = - 2
x = -y - 2
replacing in other equation
3(-y - 2) - y = -10
-3y - 6 - y = - 10
rearranging the equation
-3y - y = = -10 + 6
-4y = -4
y = 1
putting this value in first eqn we get
x - y = -2
x - (1) = -2
x = -2-1
x = -3
Jim's cat can run 4 blocks in 15 seconds. Juanita says one of her cats can run 3 blocks in 11
seconds. Who has the fastest cat? How did you decide?
Answer:
Juanita's cat is faster because it can run more blocks in a second
Step-by-step explanation:
Take the number of blocks and divide by the number of seconds
Jim:
4 blocks/ 15 seconds
.26666.... block per second
Juanita
3 blocks / 11 seconds
.2727...... blocks per second
Juanita's cat is faster because it can run more blocks in a second
Which system of inequalities is shown?
Answer:
C. y>x
y>4
Step-by-step explanation:
the line passes y intercept (0,4) is y = 4
the line passes (0,0) and (5,5) is y = x
so, the system of inequalites of the shaded area is : y>x and y>4 (option C)
What would the sum of the interior angles of a 14 sided shape be?
Select one:
O a. 360°
O b. 180°
O c. 14°
O d. 2,160°
Answer:
the sum of interior angles of a 14 sided shape be 2160
Answer: D) 2160
Work Shown:
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
S = 180(14-2)
S = 180*12
S = 2160
Find the possible subsets of A = {a,b}
Answer:
Step-by-step explanation:
Subset of A = { {} , {a} , {b}, {a.b} }
A woman takes 3000 on a vacation and spends 150 a day which expression gives the amount she has in dollars after n days
So the question is "Write down four common multiples of 2 and 3"
Step by step explaination :(
Answer:
The common multiples of 2 and 3 are 6,12,18,24
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27...
Common multiples of 2 and 3 include 6, 12, 18, and 24.
Karima earns $400 per week plus a holiday bonus of $250. Write an expression to represent the total amount she earns after working w weeks. Then, find the amount she earns after she works 4, 12, and 36 weeks.
Expression:
Earnings at 4 weeks:
Earnings at 12 weeks:
Earnings at 36 weeks:
Answer:
Step-by-step explanation:
Earnings per week = $ 400
Earning for 'w' week = 400*w + holiday bonus
= 400w + 250
Earnings at 4 weeks = 400*4 + 250
= 1600 + 250
= $ 1850
Earnings at 12 weeks = 400*12 + 250
= 4800 + 250
= $ 5050
Earnings at 36 weeks = 400*36 + 250
= 14400 + 250
= $ 14650
BRAINLIEST:
The area of a rectangle is (16x^2– 9y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work
Answer:
4x^2 -12x +9
now
4 x 9 = 36
first take out the LCM of 36
it will be
2 x 2 x 3 x 3
4x^2 -6x -6x +9
2x(2x-3) -3(2x-3)
(2x-3)(2x-3)
it is showing that
2x-3 is the length for part A
Which theorem can be used to show that AABC = ADEC?
what is the value of 45c+28d when c=-5 and d=2
45×(-5) + 28×2
-225 + 56
Ans -169
CORRECT ANSWER ONLY PLEASE!! What is the simplest radical form of the expression?
(8x5y3)23
The choose 1.
[tex]4 {x}^{3} {y}^{2} \sqrt[3]{x} [/tex]
I hope I helped you^_^
The simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
When we have indices in the form [tex]ax^{2/3}[/tex] , To find the cube root of the (ax)².
This can be expressed mathematically as
[tex](\sqrt[3]{ax} )^2[/tex]
From the given expression
[tex](8x^5 y^3)^{2/3}\\\\(\sqrt[3]{(8x^5 y^3)})^{2}\\\\4x^2 y^2\sqrt[3]{x}[/tex]
Thus, the simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].
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. Strengthening Vinegar: A food chemist has 200 gallons of
vinegar that is 4% acetic acid. How much acetic acid must be
added to get the acetic acid up to 5%?
Find the image of (-1, 3) obtained by translating
2 units down, followed by a rotation of 180°
counterclockwise about the origin.
HELP QUICK
Answer:
(1, - 1 )
Step-by-step explanation:
A translation of 2 down means subtract 2 from the y- coordinate
(- 1, 3 ) → (- 1, 3 - 2 ) → (- 1, 1 )
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
(- 1, 1 ) → (1, - 1 )
Overall
(- 1, 3 ) → (- 1, 1 ) → (1, - 1 )
The image of (-1, 3) was obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
What is coordinate?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The given point with coordinates of (-1,3), when translated downwards will have the coordinated equal,
(-1,3) ⇒ (-1, 3-2) ⇒ (-1, 1)
Now, since the translation is about 180° in the counter-clockwise direction, the coordinates of the new point will be equal to,
(-1,1) ⇒ (1, -1)
Hence, the image of (-1, 3) obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
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Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
8
3
6
1
Choose 1 answer:
اے
Subtract 5 from the input to get the output.
в)
Multiply the input by 0. Then add 5 to the result to get the output.
Divide the input by 2. Then subtract 1 from the result to get the output.
Answer:
Subtract 5 from input.
Step-by-step explanation:
10-5=5
8-5=3
6-5=1
Note:if you need to ask question let me know about it.
Helps please
What is the answer for all of them?
