[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Consider the number as x
let's solve ~
[tex]\qquad \sf \dashrightarrow \:6(x + 20) = 26[/tex]
[tex]\qquad \sf \dashrightarrow \:6x + 120 = 26[/tex]
[tex]\qquad \sf \dashrightarrow \:6x = - 120 + 26[/tex]
[tex]\qquad \sf \dashrightarrow \:6x = -94[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 94 \div 6[/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{ - 47}{3} [/tex]
・ ．━━━━━━━†━━━━━━━━━．・
Answer:
[tex](x + 20) 6 = 26[/tex]
[tex]6x + 120 = 26[/tex]
[tex]6x = 26 - 120[/tex]
[tex]6x = - 94[/tex]
[tex] \displaystyle \: x = \frac{ - 94}{6} [/tex]
[tex] \displaystyle{x = \frac{ - 47}{3} }[/tex]
[tex]\red {\rule{35pt}{2pt}} \green{ \rule{35pt}{2pt}}\orange{ \rule{35pt}{2pt}}\pink{ \rule{35pt}{2pt}}\blue{ \rule{35pt}{2pt}}\purple{ \rule{35pt}{2pt}}\red{ \rule{35pt}{2pt}}[/tex]
[tex] \bold{ \displaystyle{x = - \frac{47}{3} }}[/tex]
A parabola can be drawn given a focus of (1, -7) and a directrix of y = 1. Write the
equation of the parabola in any form.
Answer:
Step-by-step explanation:
focus (1 , -7) ⇒ a = 1 & b = -7
y = 1 ⇒ c = 1
Equation of parabola :
(x - a)² + (y - b)² = (y - c)²
(X - 1)² + (y + 7)² = (y - 1)²
Now, expand.
x² - 2x + 1 + y² + 2*7*y + 7² = y² - 2*y*1 + 1
x² - 2x + 1 + y² - 14y + 49 = y² - 2y +1
x² - 2x + 1 + y² - 14y + 49 - y² + 2y - 1 = 0
x² - 2x + y² - y² - 14y + 2y + 1 + 49 - 1 = 0
x² - 2x - 12y + 49 = 0
How many solutions does this nonlinear system of equations have?
Answer:
ONE “1”
Step by step:
Taking into account the definition of a system of equations, this nonlinear system of equations has one solution.
A system of equations is a set of two or more equations that share two or more unknowns. The solutions of a system of equations are all the values that are valid for all equations.
That is, to find the solution to a system of equations, you must find a value (or range of values) that satisfies all the equations in the system.
Graphically, the points where the graphs of the equations intersect will be the solutions to the system.
A system of equations with a linear equation and a quadratic equation can have two, one, or no solutions. To find its quantity, we must look for the intersection between both graphs:
If the graphs of the equations do not intersect, then there are no solutions for both equations. If the parabola and the line touch at a single point, then there is a solution for both equations. If the line intersects the parabola in two places, then there are two solutions to both equations.
In this case, you can see that the parabola and the line touch at a single point. Then there is a solution for both equations.
In summary, this nonlinear system of equations has one solution.
Mr. Anderson decides to visit a childhood friend. His car gives him 24.82 miles to the gallon. Mr. Anderson has 4 gallons of fuel. Which of the following is true?
A.
Mr. Anderson can travel 83.28 miles.
B.
Mr. Anderson can travel 49.64 miles.
C.
Mr. Anderson can travel 115.28 miles.
D.
Mr. Anderson can travel 99.28 miles.
Answer:
D. Mr. Anderson can travel 99.28 miles.
Step-by-step explanation:
If Mr. Anderson has 4 gallons and each gallon moves him 24.82 miles you can multiply the number of miles per gallon by the gallon resulting in an equation that looks like 4*24.82=99.28.
Combine like terms:
-3(4x + 3) - (2x - 5) + 6(3x - 4)
Make sure you put your x term first
Due in 6 hours
Answer:
4x - 28
Step-by-step explanation:
[tex]-3(4x + 3) - (2x - 5) + 6(3x - 4)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]
[tex]-\left(2x-5\right)=-2x+5[/tex]
[tex]=-3\left(4x+3\right)-2x+5+6\left(3x-4\right)[/tex]
[tex]=-12x-9-2x+5+6\left(3x-4\right)[/tex]
[tex]=-12x-9-2x+5+18x-24[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=-12x-2x+18x-9+5-24[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:-9+5-24=-28[/tex]
[tex]=-12x-2x+18x-28[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-12x-2x+18x=4x[/tex]
[tex]=4x-28[/tex]
~Learn with Lenvy~
3) After measuring the heights of 7 people, they have an average height of 156cm. After
measuring the heights of 8 people they have an average height of 158cm. How tall is
the 8th person?
Answer greatly appreciated asap
Answer:
172 cm
Step-by-step explanation:
The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.
Please help i need it done before tomorrow. thank you.
What is the area of the trapezoid?
Enter your answer in the box.
Answer:
Step-by-step explanation:
A = [tex]\frac{b_{1} +b_{2} }{2}[/tex] × h
~~~~~~~~
[tex]b_{1}[/tex] = 15 in.
[tex]b_{2}[/tex] = 6 + 15 + 6 = 21 in.
h = 18 in.
A = [tex]\frac{15+21}{2}[/tex] × 18 = 324 in.²
solve. solve this question if you are intelligent
Answer:
(a) 0 (b) 1^2
Step-by-step explanation:
photo number 1 is answer for question 2(a)
photo number 2 is answer for question 2(b)
An AC generator produces an alternating current with a peak value of 18 V. The resistance of the lamp is 4 ohms. What is the effective current?
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
What is current?Current is the flow of electrons through a conductor when voltage is applied across the conductor.
Given the peak voltage of 18 V, hence:
[tex]V_{rms}=\frac{Peak\ value}{\sqrt{2} } =\frac{18}{\sqrt{2} } =12.73 V\\\\I_{rms}=\frac{V_{rms}}{resistance } =\frac{12.73}{4 } =3.18 A\\[/tex]
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
Find out more on current at: https://brainly.com/question/24858512
Adult tickets for an art exhibit cost $15. Tickets for students cost $8.
Martin has $180 to buy 2 adult tickets and 20 student tickets.
Martin says he has enough money to buy all of the tickets because $8 × 20 = $160 and $160 is less than $180.
Critique Martin's reasoning. Which statements are correct? Choose all that apply.
A.
Martin correctly found the total cost of the tickets.
B.
Martin did not include the cost of the adult tickets.
C.
The cost of the two adult tickets is $15.
D.
Martin correctly concludes that he has enough money to buy all of the tickets.
E.
The total cost is $190, so Martin does not have enough money.
Answer:
The correct answers are B & E
Step-by-step explanation:
The cost of adult tickets: 15$ * 2= 30$
The cost of student tickets: 8$ * 20= 160$
=> All the tickets cost 30$ + 160$= 190$
=> Martin still needs 10$ more to buy all of the tickets
Convert the following to sq. cm or to sq. m, as required.
920 000 sq. cm= ______ sq. m
Answer:
The answer is 92
Step-by-step explanation:
1 m = 10,000cm
920,000/10,000=92
Help pls
Question 1 Part A (3 points): What is the greatest common factor (GCF) of the polynomial:
18x3 + 6x2y - 9x2 - 3xy
Answer:
I think the answer is 3x
Step-by-step explanation:
If i am wrong please correct me
The correct answer is 3x
What is greatest common factor?The greatest common factor is the largest factor among all the numbers in the equation.
So, the equation is [tex]18x^{3}+6x^{2} y-9x^{2} -3xy[/tex]
We need to find the GCF from the given equation
[tex]3x(6x^{2} +2xy-3x-y)[/tex]
Hence, here we are getting the common factor as 3x
which the largest common factor in the given equation.
Learn more about Greatest common factor below.
https://brainly.com/question/219464
#SPJ2
Write the recursive definition for the geometric sequence. Then write the exponential equation using regression
-
128,32,8,2
The geometric sequence 128,32,8,2 has a common ratio
The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
How to determine the recursive definition?The geometric sequence is given as:
128,32,8,2
Start by calculating the common ratio (r)
[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
Substitute 2 for n
[tex]r = \frac{a_2}{a_1}[/tex]
Substitute known values
[tex]r = \frac{128}{32}[/tex]
Evaluate the quotient
[tex]r = 4[/tex]
Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]
[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]
Cross multiply
[tex]a_n = 4a_{n-1}[/tex]
Hence, the recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128
Read more about geometric sequence at:
https://brainly.com/question/24643676
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D: 699
E: 582.5
F: 116.5
2. 1398
3. 13048
Step-by-step explanation:
Hope this helps!
Easy math 2 pictures
Answer:
Problem #6: 31.8
Step-by-step explanation: all you have to do is plug in 31 and 7 into the phythangorean therom equation so 31 squared + 7 squared and you will end up getting 1010 but then you have to find the square root of 1010 which equals 31.78049... so then you round your answer
For the figure below, name each of the following:
Answer:
PM is radius
NL is diameter
LM is chord
LJ is secant
NJ is tangent
N is point of tangency
P is center
Giving brainliest to whoever’s right
Answer:
Bottom Right graph
Step-by-step explanation:
The quation asks what slope of the graph represents how many people are served per hour. If 600 people are served in 10 hours, you divide 600 by 10 to see how many people are served per hour. In this case it is 60 people per hour. Then you find the graph that shows 60 more people served per hour. Hope this helps.
what is the answer
how do i do it
Answer:
-8.9° C
Step-by-step explanation:
Question:
Doing a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 1/2 hours.
What value represents the change in the temperature of the container each hour?
Answer:
-8.9° C
Kushbu decides to order a combination platter at her favorite restaurant. The platter comes with a choice of 2 entrees and 3 sides.
If there are 8 entrees and 6 sides available, how many different meal combinations could she order?
Enter your answer as an integer, like this: 42
Answer:
560
Step-by-step explanation:
To find the total combination you have to multiply the combination of entrees with combination of sides. U have to use the nCr equation to find these separate equations. n is number of items in total of the set and r is the number of items you want to choose from the set.
See the pic below for work
-8x+4y=-8
5x-2y=1
Pls answer this fast
Answer:
x=-3
y=-8
I answered your question in the photo sent.
Help
ASAP...........
Step-by-step explanation:
[tex](9x + 24) + 30x = 180[/tex]
[tex]39x + 24 = 180[/tex]
[tex]39x = 156[/tex]
[tex]x = 4[/tex]
Hence，we know
<DEC
[tex] = 9x + 24 = 9 \times 4 + 24 = 60[/tex]
<AEB=<DEC=60
What is the distance between -15 and 15 on a number line? *
Answer:
30
Step-by-step explanation:
The distance between 2 points on a number line uses the following equation:
point2 - point1.
In this case we get 15 - (-15) which equals 30.
The area of the polygon shown in the figure is _______.
Solve for x in the diagram below?
The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.
Sum of angle in a triangleThe sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,
80 + 40 + 13x - 5 = 180
120 - 5 + 13x = 180
115 + 13x = 180
subtract 115 from both sides of the equation
115 - 115 + 13x = 180 - 115
13x = 65
divide both sides by 13
13x / 13 = 65 / 13
x = 5
learn more on triangle here: https://brainly.com/question/15268683
which fraction is the biggest?
[tex] \frac{2}{3} [/tex]
[tex] \frac{4}{5} [/tex]
[tex] \frac{7}{8} [/tex]
Help picture below problem 9
Solution :-
Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.
And we know that vertically opposite angles measure same. Thus,
∠2 = 135°
And,
∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )
135° + ∠6 = 180°
∠6 = 180° - 135°
∠6 = 45°
Now,
we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,
∠5 + 45° = 180°
∠5 = 180° - 45°
∠5 = 135°
Thus, the value of angle 5 is 135°
Hope that helps. :)
What simple interest rate would you pay if you borrowed $5000 and paid back $6000 as promised after 5 years?
Enter the rate as a %.
(Use integers or decimals for any numbers in the expression.)
Answer:
4%
Step-by-step explanation:
6000 x 100 / 5000 = 120
after 5 years the total interest is 20%
each year interest = 4%
( 4 x 5 =20 )
A cell phone measures 10 cm long, 6 cm long, and 2 cm high. What is the volume of the cell phone?
Answer: 120cm
Step-by-step explanation:
Multiply length x width x height
10 x 6 x 2 is equal to 120, so the volume is 120cm or centimetres.
Answer:
10cmx6cmx2cm
6x2=12
12×10=120cm
04.04 SOLVING SYSTEMS OF EQUATIONS APPROXIMATELY
Need this badly
Answer:
See below ↓
Step-by-step explanation:
A) The Western Beach width decreases with increase in time whereas the Dune Beach width increases with increase in time.
B) Between Year 11 and Year 12
C) Find out the exact change in width per year for both beaches and plot them lines of change on a graph or as equations. Find where they intersect on the graph or solve the pair of equations to find out when they will both have the same width.
Find LP in parallelogram LMNQ.
Answer: im pretty sure its 29 degrees .
Step-by-step explanation: your welcome <3
find x and y. use proper postulates or theorems to justify your answer
Answer:
x = 110 & y = 28
Step-by-step explanation:
The top and bottom lines are both intersected by a transversal. Because of this, we can say the 100-degree angle is equivalent to the (x-10) angle due to the Corresponding Angles Theorem.
If 100 = x -10 then you add 10 to both sides to get x = 110 degrees.
Then, using the Same Side Exterior Angles Postulate, you can conclude that the 100-angle and the (2y + 24) angle are supplementary, meaning they add up to 180 degrees.
So, 100 + (2y + 24) = 180.
Subtract 100 from both sides to get 2y + 24 = 80
Then subtract 24 from both sides to get 2y = 56
And divide both sides by 2 to get y = 28 degrees.