Answer:
45
Step-by-step explanation:
Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.
Also given that:
Student tickets: $6
Non-Student tickets : $12
Parking : $9
Thus,
Non- Student tickets:$ 12 (Parents and grandmother are not students)
Parking: $9 ( Since they attend a soccer game they need somewhere to park)
Parents = 2 person (Mom and Dad)
Grandmother = 1 person
1 + 2 = 3
Now,
Since Non-student tickets = $12
3 * 12 +9
36 + 9
45
Hence, the family spend $45 to attend the game.
~lenvy~
Determine the solution(s) of the equation x^2 = 36
In order to solve this equation, we need to take the square root of both sides (in order to get rid of the square and isolate x, because we are asked to determine the value(s) of x)
x²=36
√x²=√36
x=6
Is this the only solution?
A negative times a negative is a positive...
-6 is another solution of this equation! :)
Hence, the answers are:-
[tex]\boxed{\boxed{\bold{x=6; ~x=-6}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Hello! My name's Cupcake, And I will be helping you today! :D
In order to solve this equation, we need to take the square root of both sides.
Why? Because we need to isolate x. Our goal is:- To find the value of x.
So in order to get rid of the square and find the value of x, we take the square root of both sides:-
x^2=36
x=6, x=-6 (solutions)
Hope it helps!
Any queries - comment !
T-Mobile has a family plan of four lines for $120 and additional lines are $10 each per month. If Jason wants to spend at most $175 per month on a cell phone expenses, what is the correct inequality that represents the amount of additional lines he can afford?
Answer:
Jason can afford 5 more additional lines, making 9 lines total because
175-120=55
55/10=5.5 so He can not afford more than 5 more additional lines.
Step-by-step explanation:
the approximate z-score that corresponds to a right tail area of 0.29 is?
Answer:
0.55
Step-by-step explanation:
In this question we need to find the Z score says that the area under the standard normal curve to the right is 0.29. So here in this question I have drawn here the normal distribution curve. So at this point we need to calculate the z value And with the probability of 29%. So to find the value of Z says that probability of zero great Small, that is equal to 0.29. So I can write this left hand side as one minus probability of less than small. It's called a 0.29 probability of zero, less than or equal to zero will do 0.29 one minus .29 which is equal to 0.71. So here we know the value of probability And we need to find the value of zero and there are various methods to calculate that one is the using the normal distribution tables and then there is the um MS Excel should. So from the table you can find the area closest to 0.71. So here the flow chart for finding me value. Using normal distribution table is given. So the first thing is from this table of the standard normal distribution, look at the probability value. So as you can see from this this is the snapshot of the table we need to find the probability value. So We have got the value of 0.71. So this is the nearest value to that you need to, next second is move left until the first column is reached. So move left until the first column is rich. This is the first column. Move upward until the top row is rich. Note that value. So here as you can see it is 0.5 and here it is 0.05. The intersection of the Roman columns gives the area of the two day loves. So which is 0.5 Plus 0.05 is equal to zero 55. This is the value of Z. Or as you can use the um xxl shoot to calculate the value of Z. Here, I have given the flow chart for that. Also you can use this to calculate the value of Z. So probability of mhm Less than or equal to 0.55 Is equal to 0.71. This is the answer. 0.55 is the answer for the solution.
I think of a number, add 5,then square the answer. The result is 100. What could the number be?
x=
x=
Answer:
x = 5
x = -15
Explanation:
Let the number be "x"
===================
(x + 5)² = 100x + 5 = ±√100x + 5 = ±10x + 5 = 10, x + 5 = -10x = 10 - 5, x = -10 -5x = 5, -15Answer:
x= 5 or -15
Step-by-step explanation:
let the number be x
(x+5)^2=100
x^2+10x+25=100
x^2+10x-75=9
look for factors of 75 that when you gives you 10 and when you multiply gives you -75
those factors are 15 and -5
replace 10x with 15x and -5x
x^2+15x-5x-75=0
then group them, and factorize
x(x+15)-5(x+15)=0
x-5=0 or x+15=0
x= 5 or x= -15
Solve the system of linear equations. separate the x- and y- values with a coma. -4x+3y=-17 -3x+4y=-11
Answer:
1, 5
Step-by-step explanation:
I may be a little wrong but;
Multiply it by 3 and 4-
-12x+9y=-51
12x-16y=44
-7y=-7
y=1
x=5
For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
Answer:
center(-2,5) r=6
4 Alfie did a survey to find which soup was most popular.
The choices were:
tomato
c
chicken
mushroom
A quarter of the children chose chicken soup.
Four times as many children chose tomato soup as chose mushroom soup.
Alfie makes a pie chart to show this information.
What angle should he use for the children who chose tomato soup?
The angle that would be used to show the number of children that chose tomato soup on a pie chart is 200°.
What angle reprsents the children that chose tomato soup?
A pie chart displays data in a circle. The sum of angles in a pie chart is 360 degrees
The first step is to determine the angle that would be used for children that chose chicken soup: 1/4 x 360 = 90
Remaining angle = 360 - 90 = 250 degrees.
Angle that can be used to represent the children that chose tomato soup: 4x + x = 250
5x = 250
x = 50
50 x 4 = 200 degrees
To learn more about pie charts, please check: https://brainly.com/question/26250795
Someone help. I do not understand.
Step-by-step explanation:
SinP = sin30° = 1/2
sinQ = sin60° = root3/2
cosR = cos90° = 0
cosQ = cos60° = 1/2
sinR = sin90° = 1
What is the value of 7 – 18(-2 1/3+ 2/3)
Answer:
The answer is 37.
Step-by-step explanation:
First of all we use Pemdas. Add the parantheses first. So its 7-18(-5/3) then you multiple the -18 to 5/3 Because after Parantheses its Exponents multiplication. So it becomes 30. Then you add 7 to get 37. I hope this is helpful.
The length of the term is one year. Calculate the principal if the maturity value is $4,500 and the simple interest is $350.
Answer:
Easy! The answer is $4,150
Step-by-step explanation:
The $350 is interest so we will take that away from the maturity value to get 4,150!
mark BRAINLIEST IF YOU THINK I HELPED
The Changs updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. They paid 6 3/5% sales tax on their purchases. If the Changs paid $351.72 total, determine if they paid the correct amount.
Answer:
Step-by-step explanation:
In order to determine the correct answer, we need to confirm it first by making the solution below:Costs: $89.95 = New Lamp $239.99 = Comforter 6 3/5% = Sales Tax (convert this to decimal and we get 6.6%) $351.72 = Total amount the Chang's paidLet's get the total costs first which is $329.946.6% of 329.94 is $21.78The total cost with the tax would be $351.72.Therefore, the Chang's paid the correct amount. The correct answer would be option D. The Chang's family paid the correct amount for their purchases.
Which matrix represents the system of equations shown below?
9x + 5y = -16
2x - 10y = - 48
Answer:
Step-by-step explanation:
The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:
[tex]\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right][/tex]
When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.
Tim’s weight was 320 pounds in 2010 and is 180 pounds in 2020. What is the slope?
Answer:
-14
Step-by-step explanation:
We have two points
(2010, 320) and ( 2020, 180)
The slope is
m= ( y2-y1)/(x2-x1)
= ( 180-320)/(2020-2010)
= -140/10
= -14 lbs/ year
please help me i dont know the answer to this one
Answer:
centroid (2, 2.666666666...)
circumcenter (2, 1.75)
orthocenter (2, 2.5)
Step-by-step explanation:
the coordinates of the centroid of a triangle are
((x1 + x2 + x3)/3, (y1 + y2 + y3)/3)
so, we have
(-4 + 2 + 8)/3 = 6/3 = 2 = x
(0 + 8 + 0)/3 = 8/3 = y = 2.666666666...
the circumcenter is the crossing point of the lines going perpendicular through the midpoint of each side.
the orthocenter is the crossing point of the lines going perpendicular on each side through the opposing vertices (the heights of the triangle).
so, we need to calculate additionally the slopes of 2 sides and their midpoints before we can get these 2 centers. the third side would only confirm the result but not provide additional information.
A = (-4, 0), B = (2, 8), C = (8, 0)
midpoint D of AC = ((-4 + 8)/2, (0+0)/2) = (2, 0)
the slope of AC is
(y2 - y1)/(x2 - x1) = (0 - 0)/(8 - -4) = 0/12 = 0 (a flat line)
the slope of the perpendicular line is -1/slope of original line. which is -1/0 = -infinity.
but don't worry, that means it is a constant line x = ...
and since it has to go through the midpoint D, the perpendicular line is x = 2
midpoint E of BC = ((2+8)/2, (8+0)/2) = (5, 4)
the slope of BC is
(0-8)/(8-2) = -8/6 = -4/3
so, the slope of the perpendicular line is 3/4.
that line is then y = 3/4 x + b
it has to go through the midpoint E
4 = 3/4 × 5 + b = 15/4 + b
16 = 15 + 4b
4b = 1
b = 1/4
so, the full perpendicular line is
y = 3/4 x + 1/4
crossing both perpendicular lines is simply using the first in the second equation :
y = 3/4 × 2 + 1/4 = 6/4 + 1/4 = 7/4 = 1.75
for the orthocenter we can use the same slopes, but the lines go now through the opposing vertices instead through the side midpoints.
so, line 1 is going through B, which makes it also x = 2.
line 2 is going through A, so
0 = 3/4 × -4 + b
0 = -1 + b
b = 1
line 2 is then
y = 3/4 x + 1
crossing these 2 lines gives us
y = 3/4 × 2 + 1 = 6/4 + 4/4 = 10/4 = 5/2 = 2.5
Find b given to that a= 20 angle a= 30 degrees and angle b = 45 degrees in triangle abc
Answer:
Step-by-step explanation:
You need 120 pieces of chalk for art day. your teacher gar 6 boxes of chalk. Each box he's 18 pieces of chalk. Is that enough chalk for art day if there is 24 students
Answer:
No
Step-by-step explanation:
6 time 180 is only 108
108<120
There is not enough chalk.
Parametric Equations
1.
Anytown High School is planning a play. The script calls for two characters to meet on stage.
Lauren starts at the point (0 feet, 6 feet) and travels horizontally at a rate of 1 foot per second.
Alex starts at the point (4 feet, 0 feet) and travels vertically at a rate of 2 feet per second. If
Alex and Lauren start wa lking at the same time, will they meet?
Although Alex and Lauren will both step into position 4,6, they will not do it at the same time, so they will not meet.
How do Alex and Lauren position will change?Lauren:
Initial position: 0,6Second 1: 1,6Second 2: 2,6Second 3: 3,6Second 4: 4,6Alex:
Initial position: 4,0Second 1: 4,2Second 2: 4,4Second 3: 4,6Second 4: 4,8Do they meet?Both will step in the position 4,6, However, Lauren will be in this positon in the second 4, while Alek will do it on the second 3.
Learn more about parametric equations in: https://brainly.com/question/12718642
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Sum of the inteor anglrs of triangle #3
Answer:
I dont see any triangle but the sum of the interior angles of every triangle is 180
Step-by-step explanation:
<+<+<=180˚
A random sample of 1400 home owners in a particular city found 644 home owners who had a swimming pool in their backyard. Find a 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard
What is the value of x?
-5x = 60
Answer:
x = -12
Step-by-step explanation:
⇒ -5x = 60
Isolate the variable "x" by dividing by -5 on each side.
⇒ -5x/-5 = 60/-5
⇒ x = -12
The solution is x = -12
[tex]\boxed{ \sf \bold{x = -12}}[/tex]
Explanation:
[tex]\dashrightarrow \ \ \sf -5x = 60[/tex]
divide both sides by -5
[tex]\dashrightarrow \ \ \sf \dfrac{-5x}{-5} = \dfrac{60}{-5}[/tex]
simplify
[tex]\dashrightarrow \ \ \sf x = -12[/tex]
A triangular swimming area is marked off by a rope.
a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?
Δ perimeter of swimming area:
total length measure of all sides200√3 + 200√6 + 400 + 200( 200√3 + 200√6 + 600 ) m1436.3 mΔ area of roped off section:
1/2 base * height1/2 * (200+200√3)(200√3)20000√3 + 60000 m²94641 m²You walk 3/8 miles to a grocery store.Then you walk another 1/3 miles to a music store.How many miles have you walked in all
Answer:
At this point, you have walked 17/24 miles in all.
Hope this helps
Can someone help me with these please
Answer:
1a. 210 m^2 1b. 14 ft^2 1c. 199.5 in^2
2a. 270 cm^2 2b. 162 m^2 2c. 272 cm^2
3a. 348 ft^2 3b. 230 in^2 3c. 312.5
Step-by-step explanation:
The area of a triangle can be calculated with one equation...
A = 1/2bh
b stands for base, h stands for height
1a. A = 1/2(21)(20)
One half divides 20 easily..
A = 21(10)
A = 210
1b. A = 1/2(7)(4)
One half divides 4 easily..
A = 2(7)
A = 14
1c. A = 1/2(19)(21)
A = 1/2(399)
A = 199.5
2a. A = 1/2(36)(15)
One half divides 36 easily..
A = 18(15)
A = 270
2b. A = 1/2(18)(18)
One half divides 9 easily..
A = 9(18)
A = 162
2c. A = 1/2(32)(17)
One half divides 32 easily..
A = 16(17)
A = 272
3a. A = 1/2(29)(24)
One half divides 24 easily..
A = 12(29)
A = 348
3b. A = 1/2(23)(20)
One half divides 20 easily..
A = 10(23)
A = 230
3c. A = 1/2(25)(25)
A = 1/2(625)
A = 312.5
Finding area of triangle --> [tex]\frac{1}{2}*b*h[/tex]
b --> length of base of triangleh --> length of height of triangleQuestion 1:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*20*21 = 210 m^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*4*7 = 14 ft^2[/tex]
c. [tex]Area = \frac{1}{2}*b*h= \frac{1}{2} *21*19=199.5in^2[/tex]
Question 2:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *36*15 = 270cm^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *18*18 = 162m^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *17*32 = 272cm^2[/tex]
Question 3:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *24*29 = 348ft^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *20*23 = 230in^2[/tex]
c. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *25*25 = 312.5cm^2[/tex]
Finding Area of Parallelogram --> b * h
b: length of base of parallelogramh: length of height of parallelogramQuestion 1
a. [tex]Area = b * h = 24 * 26 = 624cm^2[/tex]
b. [tex]Area = b * h = 15 * 30 = 450in^2[/tex]
c. [tex]Area = b * h = 21 * 31 = 651 mm^2[/tex]
Question 2
a. [tex]Area = b * h = 18 * 17 = 306 in^2[/tex]
b. [tex]Area = b * h = 10.5 * 15 = 157.5m^2[/tex]
c. [tex]Area = b * h = 12.5*11=137.5cm^2[/tex]
Question 3:
a. [tex]Area = b * h = 5.7*11.5=65.55in^2[/tex]
b. [tex]Area = b * h = 8 * 12.5 = 100ft^2[/tex]
c. [tex]Area = b * h = 1.7 * 3.6 = 6.12m^2[/tex]
Hope that helps!
write equivalent expressions 3(x-6)
Answer:
3(x-6)=3x-18
Step-by-step explanation:
[tex]Find } \sum r^{2} \cdot{ }^{20} C_{r}\end{equation}[/tex]
Options:
(a) [tex]$2^{20}$[/tex]
(b) [tex]$2^{21}$[/tex]
(c) [tex]$210 \times 2^{19}$[/tex]
I bet the sum you're referring to is supposed to be
[tex]\displaystyle \sum_{r=0}^{20} r^2 \times {}^{20}C_r[/tex]
or equivalently,
[tex]\displaystyle \sum_{r=0}^{20} r^2 \binom{20}r[/tex]
where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.
Recall the binomial series,
[tex](1+x)^\alpha = \displaystyle \sum_{r=0}^\infty \binom\alpha r x^r[/tex]
which is valid for |x| < 1. (Note that if r > α, the binomial coefficient is defined to be zero, so there really are only α many terms when α is a whole number.)
Differentiating both sides with respect to x gives
[tex]\alpha (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^{r-1}[/tex]
Multiply both sides by some arbitrary x in |x| < 1 :
[tex]\alpha x (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^r[/tex]
Repeat:
[tex]\alpha (1+x)^{\alpha-1} + \alpha(\alpha-1) x(1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^{r-1}[/tex]
[tex]\alpha x (1+x)^{\alpha-1} + \alpha(\alpha-1) x^2 (1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^r[/tex]
Let α = 20, and let x approach 1 from below. The right side converges to the sum we want, while the left side converges to
[tex]20 \times 2^{19} + 20\times19\times 2^{18} = (20 + 10\times19)\times2^{19} = \boxed{210\times2^{19}}[/tex]
what digit is in the ten thousand place in 796,142 what is the answer
Answer:
9
Step-by-step explanation:
700,000
90,000
6,000
100
40
2
Answer:
9
Step-by-step explanation:
796,142
100000 10000 1000 100 10 1
pls help I know its ez for you but it's not for me
Answer:
61,45627,13541,52617,04532,14478,104________________________________________________________
How to solveMultiply all numbers by the multiplier, the smaller number, and then use any extra digits you carry, bringing you to the ten thousands place.
________________________________________________________
Questions or extra enrichment on this subject?Ask me in the comments box, I can help.
Find fRound the answer to the nearest tenth.
A. 54.5°
B. 57.2°
C. 90.0°
D. 109.2°
Answer:
109.2 degrees
Step-by-step explanation:
Use the cos law to find angle F
3.1^2 = 2^2 + 1.8^2 - 2 (2)(1.8) cos F
shows cos f = -.329
arc cos( - .329) = angle F =109.2 degrees
I will give Brainliest!
Mayra bought x grams of rice.
Anika bought 1/3 more than Mayra bought.
Select ALL of the equations that represent the relationship between the amount of rice that Mayra bought, x, and the amount of rice that Anika bought, y.
y = 4/3x
y = 2/3x
y = x - 1/3x
y = x + 1/3x
y = 1/3x
Answer:
i think last one is the right answer
Step-by-step explanation:
y=1/3x
if the length of diagonal of a square is 4√2 cm, find it's length, perimeter and area.
Answer:
As Per Provided Information
Length of diagonal of square is 4√2 cmWe have been asked to find the length , perimeter and area of square .
First let's calculate the side of square .
Using Formulae
[tex] \boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}[/tex]
On substituting the value in above formula we obtain
[tex] \qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm[/tex]
Therefore,
Length of its side is 4 cm.Finding the perimeter of square.
[tex] \boxed{\bf \: Perimeter_{(Square)} = 4 \times side}[/tex]
Substituting the value we obtain
[tex]\qquad\longrightarrow\sf \:Perimeter_{(Square)} \: = 4 \times 4 \\ \\ \\ \qquad\longrightarrow\sf \:Perimeter_{(Square)} = 16 \: cm[/tex]
Therefore,
Perimeter of square is 16 cm .Finding the area of square .
[tex] \boxed{\bf \: Area_{(Square)} = {side}^{2}}[/tex]
Substituting the value we get
[tex]\qquad\longrightarrow\sf \:Area_{(Square)} \: = {4}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Square)} = 16 \: {cm}^{2} [/tex]
Therefore,
Area of square is 16 cm².