Answer:
[tex] x = \frac{21 - 3y - 3z}{4} [/tex]Step-by-step explanation:
Question:-To find value of xEquation:-x + 3x + 3y + 3z = 21Solution:-=> x + 3x + 3y + 3z = 21
[On adding like terms x and 3x]=> 4x + 3y + 3z = 21
[On subtracting both sides with 3y]=> 4x + 3y + 3z - 3y = 21 - 3y
[On Simplification]=> 4x + 3z = 21 - 3y
[On subtracting both sides with 3z]=> 4x + 3z - 3z = 21 - 3y - 3z
[On Simplification]=> 4x = 21 - 3y - 3z
[On dividing both sides with 4][tex] = > \frac{4x}{4} = \frac{21 - 3y - 3z}{4} [/tex]
[On Simplification][tex] = > x = \frac{21 - 3y - 3z}{4} (ans)[/tex]
Given :
x + 3x + 3y + 3z = 21To Find :
The value of xSolution :
[tex]\qquad { \dashrightarrow \: { \sf{x + 3x + 3y + 3z = 21}}}[/tex]
Adding the like terms :
[tex]\qquad { \dashrightarrow \: { \sf{4x + 3y + 3z = 21}}}[/tex]
Transposing 3y to the other side which then becomes negative :
[tex]\qquad { \dashrightarrow \: { \sf{4x + 3z = 21 - 3y}}}[/tex]
Now, Transposing 3z to the other side which then becomes negative :
[tex]\qquad { \dashrightarrow \: { \sf{4x = 21 - 3y - 3z}}}[/tex]
Dividing both sides by 4 :
[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{4x}{4} = \dfrac{21 - 3y - 3z}{4} }}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{{x} = \dfrac{21 - 3y - 3z}{4} }}}[/tex]
Therefore, the value of x = 21 – 3y – 3z/4
The manager of a store increases the price of a popular product by 9%. Let t be the original price of the product. The new price is t+0.09t. Write an equivalent expression by combining like terms. If the original price was $15.99, estimate the new price by first rounding the original price to the nearest dollar.
Answer:
new equation : 1.09t = new price
Step-by-step explanation:
1.09(15.99) = 17.4291
it's about $17
identify the graph of the rational function with an x-intercept at (-4,0) and (4,0), a vertical asymptote at x=2, and an oblique asymptote at y=x+2
Answer:
(0,2), (1,3)
Step-by-step explanation:
7
Kali developed her own website to advertise her babysitting business. In June she had 5,234 people visit her site. In July she had a 12 percent decrease in visitors. Approximately how
many people visited Kali's website in July?
A 5862
B 5222
C 4605
4673
Answer:
4606
Step-by-step explanation:
5234 · 0.12 = 628
5234 - 628 = 4606
Answer:
The answer to this question should be C: 4605.
Step-by-step explanation:
For this problem we need to know what 12% of 5,234 is. 12% of 5,234 is 628.08. Since their was a decrease in visitors we need to subtract 5,234-625.08=4,605.92. The probelm states that we need to find the "Approximate number", so have the .92 doesnt matter. So therefore the answer to this probelm is C: 4605.
yw :)
Please look for the question in the picture.
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{1}{4} x-\frac{3}{5} =1\frac{2}{5}[/tex]
[tex]\frac{1x}{4} -\frac{3}{5} =\frac{7}{5}[/tex]
[tex]\frac{1x}{4} =\frac{7}{5} +\frac{3}{5} \\[/tex]
[tex]\frac{1x}{4} =\frac{10}{5}[/tex]
Use cross multiplication.
[tex]5x=4*10[/tex]
[tex]5x=40[/tex]
[tex]\frac{5x}{5}=\frac{40}{5}[/tex]
[tex]x=8[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello There!
Question:-
[tex]\sf \longmapsto1/4x-3/5=1\dfrac{2}{5}[/tex]
We need to find the value of x.
Solution:-
Convert[tex] \dfrac{2}{5}[/tex] to improper fraction:-
[tex] \sf \longmapsto\dfrac{1}{4} x + \dfrac{ - 3}{5} = \dfrac{7}{5} [/tex]
Add 3/5 to both sides:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ - 3}{5} + \red {\dfrac{3}{5}} = \dfrac{7}{5} + \red{\dfrac{3}{5}} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ 3}{5} - \dfrac{3}{5} = \dfrac{7 + 3}{5} [/tex]
[tex]\sf \longmapsto \: \dfrac{1}{4} x - 0 = \cancel \dfrac{10}{5} [/tex]
[tex]\sf \longmapsto \dfrac{1}{4} x = 2[/tex]
Multiply both sides by 4 :-
[tex]\sf \longmapsto \: \red4 \times \bigg( \dfrac{1}{4} x \bigg) = \red 4 \times 2[/tex]
On Simplification:-
[tex]\sf \longmapsto \: \cancel 4 \times \dfrac{1}{ \cancel4}x = 4 \times 2[/tex]
[tex]\sf \longmapsto \: x = 8[/tex]
______________________________________
Henceforth,The value of x is :-
[tex] \boxed{ \huge\bf \: x = 8}[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian
Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation?
Step 1: x^2 - 12x = -6
Step 2: x^2 - 12x + 36= -6 + 36
7. A game is played with 2 fair number cubes. One cube has faces numbered 1 through 6. The second number cube is numbered 4 through 6, and each number is marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?
Answer:
Less than two would be one. Since there is only one of that, it would be 1/6th or 0.6666
Step-by-step explanation:
Apply Euclid algorithm to find HCF of number 4052 and 420
Answer:
ANSWER 4
Step-by-step explanation:
the hcf is 420 and then u say 2x2=4 simple
List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.
Answer:
<N=<T
<P=<Q
<O=<R
<M=<S
Step-by-step explanation:
they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.
What is the answer ??
Answer:
first of all take LCM OF THE denominator and solve it as shown
The factor that most heavily influences your credit score is
A. length of credit history
B. types of credit
C. amount owed
D. payment history
Answer:
D.payment history
Step-by-step explanation:
It costs $6.50 per fidget popper. How much would it cost to get 8 fidget poppers.
Answer:
$52
Step-by-step explanation:
8*6.50
Find the height of the trapezoid.
7 m
Area = 51 m2
10 m
Help help help math math math
Answer:
1/4
Step-by-step explanation:
the x decreases by 1 the y decreases by 4
Answer:
-4
Step-by-step explanation:
I NEED HELP!!
If f(x) = x 3/2 , then f ' (4) =
A. -6
b. -3
c. 3
d. 6
e. 8
Answer:
f(x)=x(3/2)
f(4)=4*3/2
6
Travis has hired Charlie and Dora to plant flowers. Dora can plant 150 flowers in the same time it takes Charlie to plant 120 flowers, which can be shown using the following relationship where d and c are the respective rates at which Dora and Charlie can plant flowers:
150 over d equals 120 over c
Also, Dora can plant 18 flowers more per day than Charlie.
How many flowers can Charlie plant per day?
Answer:
72
Step-by-step explanation:
If the rates d and c are flowers per day, we have ...
150/d = 120/c
d -c = 18
__
Multiplying the first equation by cd/30, we have ...
5c = 4d
Multiplying the second equation by 4 gives ...
4d -4c = 72
Adding these equations together, we get ...
5c +4d -4c = 4d +72
Simplifying and subtracting 4d leaves ...
c = 72
Charlie can plant 72 flowers per day.
3. Twenty-five percent of Santa's elves
decorated the North Pole. If 150 elves
decorated, how many total elves live in
the North Pole?
An agent was able to sell a house and loth worth P2,300,000,00 if he was given a 5% commission.How much did he receive.
pls have solution :D
Answer:
I am not sure what the P is.
2,300,000,00. X 5% = $115,000,000. Commission
Step-by-step explanation:
suppose Amaya wants to bake cookies that require 4.5 cups of flour for a recipe that makes 4 dozen cookies. how much flour would Amaya need to make 126 cookies?
Answer:
11.8125 cups of flour
Step-by-step explanation:
4 dozen = 48 cookies
126/48=2.625 batches of 48 cookies
2.625 x 4.5 = 11.8125 cups of flour
help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast
Answer:
4
Step-by-step explanation:
The number in from of sin is the frequency
Answer:
4
Step-by-step explanation:
Q.
5! = ?
________________
Example :
4! = 4 × 3 × 2 × 1 = 24
Answer:
5!=5*4*3*2*1=120
Step-by-step explanation:
n!=(n)(n-1)(n-2)...(3)(2)(1)
5!=5×4×3×2×1
=20×3×2×1
=60×2×1
=120×1
=120
Convert 4pie/5 to degrees. 135° 144° 216° 225°
[tex]\huge \bf༆ Answer ༄[/tex]
For converting radians to degree, we multiply the value in radian by [tex] \dfrac{180}{π}[/tex]
That is ~
[tex] \sf \dfrac{4 \cancel\pi}{ \cancel5} \times \dfrac{ \cancel{180} \: \: {}^{36} }{ \cancel\pi} [/tex][tex] \sf4 \times 36[/tex][tex] \sf144 \degree[/tex]HELPPPPPPPPLSSSSS FASTTTUTS A TEST
Hope you could get an idea from here.
Doubt clarification - use comment section.
I NEED MORE HELP PLZZ
Answer:
1A: all real numbers
1B: x = {-3, 0, +18}
1C: (-3, 0) U [3, 18)
2A: h(x) = -1/160x^2 +1/2x
2B: focus: (40, -30); directrix: y = 50; axis of symmetry: x = 40
Step-by-step explanation:
1A:The graph is attached. The domain is all real numbers.
__
1B:The x-intercepts for x < 3 are the zeros of the quadratic:
x^3 -9x = 0
x(x^2 -9) = 0
x(x +3)(x -3) = 0 ⇒ x = 0, -3, +3 . . . . x=3 is not in the domain of this piece
The x-intercepts for x ≥ 3 are the zeros of the log function:
-log4(x -2) +2 = 0
log4(x -2) = 2 . . . . . . add log4(x -2)
x -2 = 4^2 . . . . . . . . . take the anti-log
x = 2 +16 = 18 . . . . . . add 2
The x-intercepts of g(x) are x = {-3, 0, +18}.
__
1C:The graph shows the function is positive on the intervals ...
(-3, 0) U [3, 18)
__
2A:The vertex of the curve is given as (40, 10). The vertical scale factor will make the function 0 at x=0.
h(x) = a(x -40)^2 +10
h(0) = 0 = a(-40)^2 +10 = 1600a +10
a = -10/1600 = -1/160 = -1/(4·40)
The equation of the parabola is ...
y = -1/(160)(x -40)^2 +10
In standard form, this is ...
y = -1/160x^2 +1/2x
__
2B:When we computed the leading coefficient (a) in Part A, we found it to be -1/(4·40). This corresponds to 1/(4p) where p=-40 is the focus to vertex distance. The negative sign means the focus is 40 units below the vertex, at (40, -30). The corresponding location of the directrix is 40 units above the vertex, at y=50.
Of course the axis of symmetry is the vertical line through the vertex: x = 40. These are shown in the second attachment.
The perimeter of a rectangle is 39.2 km, and its diagonal length is 14 km.
Find its length and width
Using the formulas to find its length =
P= 2 ( l + w )
d= w² + l²
There are 2 solutions for,
l = P / 4 + 1 / 4 √8d² - p²
= 39.2 / 4 + 1 / 4 × √8 × 14² - 39²
= 11. 2 km answer.
Using the formula to find its width =
w = p / 2 - l
= 39.2 / 2 - 11.2
= 8.4 km answer.
≈ the length of a rectangle is 11.2 km and the width is 8.4 km
Help help math math math
Answer:
10000
Step-by-step explanation:
you have four digits and each one of them can be 0-9, so 10 possibilities for each digit
10×10×10×10= 10,000
Answer:
160
Step-by-step explanation:
I believe the answer is 160 because it is a four-digit passcode, and 10 different numbers can be used ( 10 * 4 = 40, and 40 * 4 = 160).
Potatoes are sold at $3.30 per 55 kg bag.
(a) Calculate the cost per kilogram.
(b) How much will 12 kg cost?
sin(83)cos(7) + cos(83)sin(7)
Answer:
1
Step-by-step explanation:
correct on edge
sin(83 radians) * cos(7 radians)) + (cos(83 radians) * sin(7 radians)) =
0.893996664
Answer:
hope it helps
(3x(3)+9X(2)+27X)/3X
3x | 3x^3+9x^2+27x |x^2+3x+9x
- 3x^3
-------
9x^2
- 9x^2
---------
27x
- 27x
--------
0
Answer:
x^2 + 3x + 9x
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please look for the question in the picture.
Answer:
Step-by-step explanation:
B
whether the negative sign is next to the fraction bar or next to the numerator, it doesnt matter.
A results in the last number being different from the one in the question.
answer is B
Prove the identity.
sin(x+y) / cosxcosy = tanx+tany
[tex]\dfrac{\sin(x+y)}{\cos x \cos y}\\\\\\=\dfrac{\sin x \cos y + \sin y \cos x}{\cos x \cos y}\\\\\\=\dfrac{\tfrac{\sin x \cos y}{\cos x \cos y} + \tfrac{\sin y \cos x}{\cos x \cos y}}{\tfrac{\cos x \cos y}{\cos x \cos y}}\\\\\\=\dfrac{\tan x + \tan y}1\\\\\\= \tan x + \tan y[/tex]