IT IS C CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC it is c
plz help me with this question.....
Answer:
See Below.
Step-by-step explanation:
The sum of an A.P. is given by:
[tex]\displaystyle S_n=\frac{n}{2}(a+x_n)[/tex]
Where n is the number of terms, a is the initial term, and xₙ is the last term.
Therefore:
[tex]\displaystyle S_{30}=\frac{30}{2}\Big(a+x_{30}\Big)=15(a+x_{30})[/tex]
And likewise:
[tex]\displaystyle S_{20}=\frac{20}{2}\Big(a+x_{20}\Big)=10(a+x_{20})\\\\ S_{10}=\frac{10}{2}\Big(a+x_{10}\Big)=5(a+x_{10})[/tex]
Substitute:
[tex]15(a + x_{30}) = 3(10 (a + x_{20}) - 5(a + x_{10} ))[/tex]
Distribute:
[tex]15a+15x_{30}=30a+30x_{20}-15a-15x_{10}[/tex]
Simplify:
[tex]15x_{30}=30x_{20}-15x_{10}[/tex]
Simplify:
[tex]x_{30}=2x_{20}-x_{10}[/tex]
The nth term for an A.P. is:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
So, it follows that:
[tex]x_{30}=a+d(30-1)=29d+a\\ x_{20}=a+d(20-1)=19d+a\\ x_{10}=a+d(10-1)=9d+a[/tex]
Therefore:
[tex]29d+a=2(19d+a)-9d-a[/tex]
Which follows that:
[tex]29d+a=38d+2a-9d-a\\ \\ 29d=29d \\\\ d\stackrel{\checkmark}{=}d[/tex]
QED.
7. QR =
8. Z
P
24x - 2
Q 6x +14 R
102
->
Answer:
7Q ^12
Step-by-step explanation:
Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos
What is the Unit price of 5 tickets for $5.00 ?
Answer:
$25
Step-by-step explanation:
The system of equations has
options are
1. no solution
2. one solution
3. infinitely many solutions
Answer: no solution
Step-by-step explanation: after simplifying they are parallel which means they have no solutions
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
Coordinates: (-3,8) (4,5) (2,-5)
Given:
The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).
To find:
The fourth vertex of the parallelogram.
Solution:
Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).
We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Two diagonals of ABCD are AC and BD.
Midpoint of AC = Midpoint of BD
[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]
[tex]4+a=-1[/tex]
[tex]a=-1-4[/tex]
[tex]a=-5[/tex]
And,
[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]
[tex]5+b=3[/tex]
[tex]b=3-5[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of fourth vertex are (-5,-2).
how about this one −p+
5
3
q−
10
1
q+
9
1
−
9
1
p
Answer:
NaNx10^-23
Step-by-step explanation:
Andrew is starting his own snow plowing business. Andrew has calculated that he needs to earn $500 per week to support his family. If he knows he will only be able to work 50 hours per week, what is the minimum amount of dollars per hour that he will need to charge his customers?
Answer:Ten dollars per hour
Step-by-step explanation:
50 hour =500 dollars
1 hour = ?
Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.
?=(1 hour×500 dollars)/50 hour
?= 500 dollars/50
?=10 dollars per hour
Answer:
$10
Step-by-step explanation:
$500/50= 10
He needs to earn $10 an hour x the 50 hours = $500
(x + 2/3x) - ⅓(x + 2/3x) = 10
Answer:
x=9
Step-by-step explanation:
Solve for x
(
x
+
2
3
x
)
−
1
3
(
x
+
2
3
x
)
=
10
Simplify
x
+
2
3
x
−
1
3
⋅
(
x
+
2
3
x
)
.
Tap for fewer steps...
Simplify each term.
Tap for more steps...
x
+
2
x
3
−
5
x
9
=
10
Find the common denominator.
Tap for more steps...
x
⋅
9
9
+
2
x
⋅
3
9
−
5
x
9
=
10
Combine fractions with similar denominators.
x
⋅
9
+
2
x
⋅
3
−
5
x
9
=
10
Subtract
5
x
from
x
⋅
9
.
Tap for more steps...
2
x
⋅
3
+
4
⋅
x
9
=
10
Multiply
3
by
2
.
6
x
+
4
⋅
x
9
=
10
Add
6
x
and
4
⋅
x
.
10
x
9
=
10
Multiply both sides of the equation by
9
10
.
9
10
⋅
10
x
9
=
9
10
⋅
10
Simplify both sides of the equation.
Tap for fewer steps...
Simplify
9
10
⋅
10
x
9
.
Tap for more steps...
x
=
9
10
⋅
10
Cancel the common factor of
10
.
Tap for fewer steps...
Cancel the common factor.
x
=
9
10
⋅
10
Rewrite the expression.
x
=
9
Answer:
x = 9
Step-by-step explanation:
Given
(x + [tex]\frac{2}{3}[/tex] x ) - [tex]\frac{1}{3}[/tex](x + [tex]\frac{2}{3}[/tex] x ) = 10 ← distribute parenthesis
x + [tex]\frac{2}{3}[/tex] x - [tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{9}[/tex] x = 10
Multiply through by 9 ( the LCM of 3 and 9 ) to clear the fractions
9x + 6x - 3x - 2x = 90
10x = 90 ( divide both sides by 10 )
x = 9
Researchers make a one-sample z interval to estimate the proportion of adults who would say they learned
something new in the past month. Previous studies have suggested that about 40% would answer "yes" to this
question. The researchers plan on using a confidence level of 95%, and they want the margin of error to be no
more than 25%.
Answer:369
Step-by-step explanation:
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be the temperature outside of plane 3 miles above ground
Answer:
-3.6 degrees
Step-by-step explanation:
Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.
3 * 5.2 = 15.6
Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.
12 - 15.6 = -3.6
Finally, we can see that the temperature is -3.6 degrees
The sum of twice a number and five is greater than three times the number minus three.
Answer:
x<8
Step-by-step explanation:
2x+5>3x-3
2x+8>3x
8>x
Answer:
n < 8
Step-by-step explanation:
Let n represent the unknown number. Then:
2n + 5 > 3n - 3
Collecting like terms:
8 > n or n < 8
3s algebraic expression in word form
Answer:
trice the number"s"
Step-by-step explanation:
is this wht u want ? like am i rght? if not pls delete my answer.
Answer:
Thrice a number
Three times the variable "s"
Step-by-step explanation:
Hope it helps!!!
There are 1,775 pennies in Isaiah’s jar. If 25 pennies are needed to fill a bag, how many whole bags can Isaiah fill?
Answer:71
Step-by-step explanation:1775/25
Answer:
71 bags
Step-by-step explanation:
Each bag: 20 pennies
Pennies count: 1775
Final Answer: 71 bags
Explain:
1775 / 25 = 71
In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round.
Round 0 1 2 3 n
Points 25 75 225 675
Which equation shows the number of points available, p, in round n of the game show?
Answer:
[tex]p = 25(3)^n[/tex]
Step-by-step explanation:
Given
Round 0 1 2 3
Points 25 75 225 675
Required
Determine the equation
Let n = rounds and p = points.
So, we have:
[tex](n_1,p_1) = (0,25)[/tex]
[tex](n_2,p_2) = (1,75)[/tex]
[tex](n_2,p_2) = (3,225)[/tex]
The above shows a geometric progression.
So, we solve using
[tex]p = ab^n[/tex]
In [tex](n_1,p_1) = (0,25)[/tex]
n = 0 and p = 25
Substitute these values in [tex]p = ab^n[/tex]
[tex]25 = ab^0[/tex]
[tex]25 = a*1[/tex]
[tex]25 = a[/tex]
[tex]a = 25[/tex]
In [tex](n_2,p_2) = (1,75)[/tex]
n = 1 and p = 75
Substitute these values in [tex]p = ab^n[/tex]
[tex]75 = ab^1[/tex]
[tex]75 = ab[/tex]
Substitute 25 for a
[tex]75 = 25*b[/tex]
Make b the subject
[tex]b = \frac{75}{25}[/tex]
[tex]b = 3[/tex]
So, we have:
[tex]a = 25[/tex] and [tex]b = 3[/tex]
The equation [tex]p = ab^n[/tex] becomes
[tex]p = 25(3)^n[/tex]
Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
Explicit formula of the Geometric sequence:a, ar, ar², ar³........arⁿ
There is a common ratio of 'r' in each successive term to the
previous term.
Therefore, it's a geometric sequence.
Explicit formula of a geometric sequence is given by,[tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio
[tex]n=[/tex] nth term
Given in the table,
Common ratio (r) of any successive term to the previous term,[tex]r=\frac{75}{25}=3[/tex]
First term of the sequence 'a' = 25Explicit formula of the sequence will be,
[tex]P=25(3)^{n}[/tex] [For n ≥ 0]
Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
Learn more about the geometric sequence here,
https://brainly.com/question/11385300?referrer=searchResults
Two sisters want to save money to buy a game. The game costs $90. One sister has $36 and the other has $40. How much more money do they need?
[tex]4 \times {8}^{x + 1} = {2}^{2x} [/tex]
Calculate the value of x
Answer:
[tex] - 2[/tex]
Step-by-step explanation:
2^2×2^3(x+1)=2^2x
same base cancel,you will get
2+3x+3=2x
take same variable then - or + you will get
[tex]x = - 2[/tex]
Answer:
x=-5
Step-by-step explanation:
2^2×2^3(x+1)=2^2xsince they have the same Base we equat the exponents2+3(x+1)=2x2+3x+3=2x group like terms3x-2x=-3-2x=-5Write an equation for (-1,-2),(-3,-4)
Answer:
y=x+1
Step-by-step explanation:
First find the slope by subtracting the y values from both points and dividing it by the subtraction of the x values from both points:
-4--2/ -3--1= -2/-2= 1
so the slope is 1
Now find the y-intercept by plugging in the x and y from one of the points into the equation y=x+b
-3=-4+b
1=b
now plug the slope and y intercept in:
y=x+1
hope this helps :D
Enter the number that belongs in the green box
Answer:
x = 7
Step-by-step explanation:
All sides are equal therefore its 7
Hope this helps!! ♥︎
x = 7
7 because the measurement of all side are congruent
Which of the following best describes AD?
D
А
c
A. Altitude
B. Angle bisector
C. Perpendicular bisector
D. Median
Answer:
it will option A. Altitude hope it helps
The segment AD in the given triangle describes as Altitude.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given is a triangle ABC.
Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.
Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.
Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.
Median is the line segment joining the vertex with the mid point of the other side.
Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.
So it is altitude.
Hence the given segment is altitude.
Learn more about Altitudes of Triangles here :
https://brainly.com/question/2272632
#SPJ7
4x + 3y = -26
x-3y =-14
Answer:
y = 8 x= -16
Step-by-step explanation:
4x+26x = -6y =14
30x = 14
-6y = 14 x = 14- 30
y+= 14-6
y = 8 x= -16
Solve for x.
7(x - 3) + 3(4 - x) = -8
x = 25/10
x= -16/19
x= -41/10
O x = 1/4
Answer:
x = 1/4
Step-by-step explanation:
Calculations:
[tex]7(x-3)+3(4-x)=-8[/tex]
[tex]7x-21+12-3x=-8[/tex]
[tex]4x-9=-8[/tex]
[tex]4x=1[/tex]
[tex]x=\frac{1}{4}[/tex]
x - 2y = 8
3x = 19 + 4y
how to answer this through elimination or substitution method?
Answer:
The solution of the given equations
x = 3 and y =-2.5
Step-by-step explanation:
Step(i):-
x - 2y = 8 ..(i)
3x = 19 +4y ..(ii)
By using substitution method
substituting x = 2y +8 in equation (ii)
⇒ 3( 2y +8) = 19 +4y
⇒ 6y +24 = 19 +4y
⇒ 6 y - 4y = 19 - 24
⇒ 2 y = -5
[tex]y = \frac{-5}{2} = -2.5[/tex]
Step(ii):-
Substitute 'y' = -2.5 in equation (i) , we get
x - 2y = 8
⇒ x - 2( [tex]\frac{-5}{2}[/tex]) =8
⇒ x = 8 -5
x = 3
Final answer:-
The solution of the given equations
x = 3 and y =-2.5
In which quadrant does the terminal side of 225° angle in standard position lie
Answer:
4 th quadrant
Step-by-step explanation:
olz make me brainliest
a) The regular price of a T-shirt is $18. What is the discounted price?
b) If the regular price of an item is x dollars, what is the discount price in dollars?
c) The discounted price of a hat is $18. What is the regular (original) price?
help fast!!!
Answer:
B
Step-by-step explanati
the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown. C is talking about a hat and were talking abot a shirt. so whats left.... B
Answer:
the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown. C is talking about a hat and were talking abot a shirt.
Step-by-step explanation:
what’s the answer? someone help!!!
Use this system of equations to answer the questions that follow.
4x – 9y = 7
–2x + 3y = 4
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?
What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?
Answer:
To eliminate the x-terms, multiply the second equation by 2.
To eliminate the y-terms, multiply the second equation by 3.
Step-by-step explanation:
The first step of solving by elimination requires that you eliminate either the x-terms or y-terms by making the two terms have the same coefficient, but opposite signs.
So, if you wanted to eliminate the x-terms, you could multiply the second equation so that its x term has the same coefficient as the x-term in the first equation, but with opposite signs. The x-term in the first equation is 4x. The x-term in the second equation is -2x. They already have opposite signs, so we just need the -2x to become -4x. -4x divided by -2x is 2, thus you would multiply the second equation by 2.
If you wanted to eliminate the y-terms, the process is the same. The y-term in the first equation is -9y and the y-term in the second equation is 3y. Again, they already have opposite signs, we just need 3y to become 9y. 9y divided by 3y is 3, thus you would multiply the second equation by 3.
Answer:
to eliminate x, u would multiply second equation by 2
to eliminate y, u would multiply second equation by 3
Step-by-step explanation:
Which of the following shows the correct evaluation for the exponential expression 1 over 5 to the power of 3?
1 over 5 times 3 equals 3 over 5
1 over 5 times 1 over 5 times 1 over 5 equals 1 over 125
1 over 5 plus 3 equals 3 and 1 over 5
1 over 5 divided by 3 equals 1 over 15
Question 2(Multiple Choice Worth 2 points)
(06.01)
Write the following expression in exponential form:
7.2 × 7.2 × 7.2 × 7.2 × 7.2 × 7.2
7.2 × 6
67.2
7.26
7.2 + 6
Question 3(Multiple Choice Worth 2 points)
(06.01)
If the edge length of a cube is 11 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
11 × 11 × 11
311
11
113
Question 4(Multiple Choice Worth 4 points)
(06.01)
What is the value of the expression shown below?
7 + (10 − 4)2 ÷ 4 × 1 over 2 to the power of 3
8
8 and 1 over 6
8 and 1 over 8
79
Question 5 (Fill-In-The-Blank Worth 2 points)
(06.01)
What is the value of the expression 24 + 32?
Numerical Answers Expected!
Answer for Blank 1:
Question 6(Multiple Choice Worth 4 points)
(06.01)
What is the value of the expression shown below?
3 over 5 to the power of 2 + 4 × 3 − 2
10 and 9 over 25
11 and 2 over 25
12 and 9 over 25
13 and 2 over 25
Question 7 (Fill-In-The-Blank Worth 4 points)
(06.01)
WHOEVER ANSWERS ALL WILL GET BRAINLIEST!!!
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answer for Blank 1:
Answer: The second answer to the question is 7.2 + 6.
Step-by-step explanation:
A circle has its centre at the origin and has a radius of 5.
What is its equation?
Answer:
x²+y²=25
Step-by-step explanation:
(x-h)²+(y-k)²=r²
(x-0)²+(y-0)²=5
x²+y²=25
Problem 1: The Jefferson Band is selling baked goods to raise money for their trip. Their goal is to
profit at least $500. Each baked good sells for $2 but costs $0.50 to make. How many baked goods
will they have to sell to meet the goal?
Answer
250
315
333
334
341
Answer:
334
Step-by-step explanation:
[tex]\color{plum}\tt\bold{(a) \: 250}[/tex]
○=> Steps to derive correct answer :Money Jefferson needs to collect = $500
Selling price of each baked good = $2
Cost price of each baked good = 0.50
Number of baked goods Jefferson need to sell to meet his goal :
[tex] =\tt \frac{500}{2} \times 0.50[/tex]
[tex] =\tt 250 \times 0.50[/tex]
[tex]\color{plum} =\tt 125 \: baked \: goods[/tex]
Thus, Jefferson needs to sell 125 baked goods.
▪︎Therefore, the correct option is (a) 125.
what is y=4/5x+2 in standard form
Answer:
4x-5y=-10
Step-by-step explanation:
The standard form of a linear equation is Ax+By=CAx+By=C.
Multiply both sides by 55.
5y=5(45x+2)5y=5(45x+2)
Simplify 5(45x+2)5(45x+2).
Tap for more steps...
5y=4x+105y=4x+10
Rewrite the equation with the sides flipped.
4x+10=5y4x+10=5y
Move all terms containing variables to the left side of the equation.
4x−5y+10=04x-5y+10=0
Subtract 1010 from both sides of the equation.
4x−5y=−104x-5y=-10