[tex]\sf\purple{The\:value\:of\:x\:is\:4.}[/tex] ✅
Step-by-step explanation:-
[tex]3x - 3 = 9 \\ ➡ \: 3x = 9 + 3 \\ ➡ \: x = \frac{12}{3} \\ ➡ \: x = 4[/tex]
To verify:-
[tex]3 \times 4 - 3 = 9 \\ ➵ \: 12 - 3 = 9 \\ ➵ \: 9 = 9 \\ ➵ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A movie theater has 85 seats. One rainy day in the summer, all seats were sold and the ticket income was $121. If adult tickets cost $3 and children tickets cost $1, how many children were in the audience?
Answer:
children = 67
Step-by-step explanation:
two equations can be derived from this question
x + y = 85 equation 1
3x + y = 121 equation 2
where x = number of adults
y = number of children
subtract equation 1 from 2
2x = 36
x = 18
substitute for x in equation 1
y = 85 - 18 = 67
Which expressions is equivalent to 6h + 5(x + h)?
Answer:
11h +5x
Step-by-step explanation:
6h + 5(x + h)
Distribute
6h + 5x+ 5h
Combine like terms
11h +5x
Witch product is less then 5/8
7/10x5/8
4/3x5/8
9/7x5/8
3/2x5/8
Thank you
Answer:
Answer is 7/10 × 5/8
Step-by-step explanation:
only answer which is under 5/8ths being 7/16 :)
Answer:
7/10x5/8
Step-by-step explanation:
7/10x5/2=7/16
4/3x5/8=5/6
9/7x5/8=45/56
3/2x5/8=15/16
PLEASE HELP WILL GIVE BRAINLYIST!!!!!
Find the area of each figure.
Answer:
area of triangle=base*height/2
=4*5/2
=20/2
=10m^2
Step-by-step explanation:
At a carnival game, the chance of winning a prize is 0.45. Kylee plays the game 3 times. Using the table, what is the probability that she wins at least 1 prize? (Table shown in attached image)
A.) 0.41
B.) 0.58
C.) 0.83
D.) 0.91
Answer:
I think the answer is C 0.83 based on the math I did
Step-by-step explanation:
The probability of winning one prize in 3 attempts is P = 0.41, so the correct option is A.
How to find the probability?
We know that the probability of winning a prize is 0.45, then the probability of not winning a prize is:
q = 1 - 0.45 = 0.55
Out of 3 attempts, the probability of winning one prize is:
P(1) = (0.45)*(0.55)^2*p
where p is the number of permutations, you can win on the first attempt, second attempt, or third attempt, so there are 3 permutations.
Then the probability is:
P(1) = (0.45)*(0.55)^2*3 = 0.41
So the correct option is A.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Write an equation of the line with slope -1 passing through (8,5).
Answer:
y = -1x + 13
Step-by-step explanation:
y = -1x + b
5 = -1(8) + b
5 = -8 + b
13 = b
A rectangular garden has an area of 144. If the base is 8 ft long, what is the height? 18 ft 36 ft 64 ft 72 ft
The Answer is 18
Hope this helps! :)
(sorry I am a bit late)
Answer:
18 is correct on edge
Please do this for me I’m having a very hard time and failing math because of this!
Answer:
Which answer do you need
Step-by-step explanation:
John brother Ricky also works part time in the summer. Ricky started working at the same time as John with a. Account balance of $227and deposit $24 each week. Writ an expression for the amount Ricky has in the bank after w week
Answer:
$227 + $24w
Step-by-step explanation:
Initial balance = $227
Amount deposited per week = $24
Amount in account after w weeks
Total amount = initial balance + total weekly deposit
Total Weekly deposit = $24 * number of weeks
Number of weeks = w
Hence,.
Total deposit = $227 + $24w
A township supervisor hopes to improve the current recycling program by having residents separate their recycled
materials by type. For example, glass and plastic materials would be placed into separate recycling containers. To
measure community support for a change to the recycling program, the supervisor visits a busy shopping area and
asks randomly selected residents to respond to the following question: "Do you agree that responsible citizens
would separate their recycled items by type of material?” What type of bias could be present in the survey results
and what is a likely direction of the bias in estimating community support for the change to the recycling program?
This is question wording bias. The survey overestimates community support for change to the recycling program.
This is question wording bias. The survey underestimates community support for change to the recycling
program
This is voluntary response bias. The survey overestimates community support for change to the recycling
program
This is voluntary response bias. The survey underestimates community support for change to the recycling
program
Answer:
B
Step-by-step explanation:
It is necessary and the strategic way to collect the waste materials and separate them by material type before recycling. Hence, this is voluntary response bias. The survey overestimates community support for change to the recycling program.
What is recycling?Recycling is the process regenerating new products from the decomposed materials such as broken plastics, fuel from biowastes, glasses from broken glass parts etc.
Recycling technology is a nature genuine strategy and it helps to reduce the accumulation of wastes on earth surface. Not all people are aware of the significance of this method.
Therefore, the bias possible to be occur for the question is from voluntary response and the survey underestimates community support for change to the recycling program.
To find more on recycling, refer here:
https://brainly.com/question/11861824
#SPJ2
What is the surface area of the cylinder shown? Use 3.14 for pie. 4cm for the Radius, and 9cm for the height.
Answer:
326.73cm²
Step-by-step explanation:
=
2
π
r
h
2
π
r
2
=
2
π
4
9
2
π
4
2
≈
326.72564cm²
Find the the sum for the shown infinite geometric series?
2,2/3, 2/9, ...
Answer:
3
Step-by-step explanation:
The formula for the sum of an infinite geometric series is
[tex]\frac{a}{1-r}[/tex]
Where a is the first term and r is the common ratio. We can see that the first term is 2, and to find the common ratio, we can divide a term by the one before it. We can get:
[tex]\frac{\frac{2}{3}}{2} =\frac{2}{3} *\frac{1}{2}=\frac{1}{3}[/tex]
Now, we have all the values need to evaluate the formula. We can plug them in:
[tex]\frac{2}{1-\frac{1}{3} } \\\frac{2}{\frac{2}{3} } \\2*\frac{3}{2}\\3[/tex]
you dont need to show work
Answer:
Q1. A. 209.8
Q2. B. 313.6
Q3. 448.22 (not in ur options)
Step-by-step explanation:
1/4 divided by 3 = ___
Answer:
[tex]\frac{1}{4} \div 3 = \frac{\frac{1}{4} }{3} = \frac{1}{12}[/tex]
Answer:
1/12
Step-by-step explanation:
1/4 / 3/1
1*1/4*3
= 1/12
PLEASE HELP GONNA FAIL WILL GIVE BRAINLESS
Answer: P = 166 units
Step-by-step explanation: Each point on the triangle has lines that are tangent to the circle in the triangle, meaning that those lines form a 90° angle to the middle point in the circle. There is also a rule that states if there are tangent lines coming from the points and if the points have at least one given side length, the other side will have the same side length. So if one side on point D is 41, then the other side connected to the point is 41. I added up all of the side lengths; 41 + 41 + 30 + 30 + 12 +12 = 166 units.
I hope this helps!
I NEED THIS ASAP
Solve for X
Answer:
x^2 = 10
x = square root symbol with 10 underneath
Or x = 3.16227 (round to appropriate place)
—————
x^3 = 316
x = cubed root symbol with 316 underneath
or x = 6.81128 (round to appropriate place)
I answered them two different ways, because sometimes your teacher wants you to leave it under the square root or cube root symbol, when it can’t be solved to an exact integer.
Henry says he can write an 8 in each box to make both equations true. Is he correct?
Answer:
yes it's true because 3 groups of 8 is 24
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answer:
c
Step-by-step explanation:
An input can only have one output.
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has length 1/4 in. and width 1/6 in. The actual tiles have length 1/6 ft and width 1/9 ft.
What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile
Answer:
The answer is below
Step-by-step explanation:
The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.
Firstly we have to convert the model length and width from inches to feet.
1 feet = 12 inches
model length = 1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.
model width = 1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.
Therefore:
Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8
Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8
Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²
Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²
Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64
Hoy vamos de excursión con la escuela y nos ha tocado hacer los bocadillos para toda la clase. Si para hacer los bocadillos para mis 4 hermanos gastamos 2 barras de pan, ¿cuántas barras de pan necesitaremos para hacer los bocadillos de los 24 alumnos que hay en clase?Regla de tres
Answer:
12barras
Step-by-step explanation:
Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?
De la pregunta anterior:
4 personas = 2 barras de pan
24 personas = x
Multiplicar cruzada
4 × x = 24 × 2 barras de pan
x = 24 × 2 barras de pan / 4
x = 12 barras de pan
The shoes you want to buy are on sale for 25% off the original price is $75 what is the sale price of the shoes
Answer: $56.25
Step-by-step explanation:
25 as a decimal is 0.25
So you multiply 0.25 * 75 = 18.75
75 - 18.75 = 56.25
The sale price of the shoe is $56.25.
Please help me with 12,13,14 please and thank you!
What is the measure of the reference angle for a 112 degrees angle?
Answer:
68
Step-by-step explanation:
A P E X
PLEASE HELP!!
What is x? Show your work.
Answer:
Girl i dont know im so sorry
Step-by-step explanation:
good luck on ur assignment tho xoxo
A line is perpendicular to x + 3y - 4 = 0 and has the same y-intercept as 2x + 5y - 20 = 0. Find the equation for the line.
This is equivalent to y = 3x+4 (slope intercept form)
By "standard form", I mean the form Ax+By+C = 0.
====================================================
Explanation:
Let's solve the first equation for y
x+3y-4 = 0
x+3y = 4
3y = 4-x
3y = -x+4
y = (-x+4)/3
y = (-x/3) + (4/3)
y = (-1/3)x + (4/3)
The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.
Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.
So this mystery perpendicular line we're after has a slope of 3.
It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.
2x+5y-20 = 0
2(0)+5y-20 = 0
5y-20 = 0
5y = 20
y = 50/5
y = 4
The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.
-------------------------------------
We found that:
m = 3 is the slope of the perpendicular lineb = 4 is the y intercept of the perpendicular lineSo we know that,
y = mx+b
y = 3x+4
is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well
y = 3x+4
y-3x = 4
-3x+y = 4 .... one way to express standard form
-3x+y-4 = 0 .... another standard form
Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.
Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers. What is the greatest number of bags Lucia can make
Answer:
The greatest number of bags Lucia can make = 16
Each of the 16 bags will contain 4 stickers and 3 markers
Step-by-step explanation:
Markers = 48
Stickers = 64
What is the greatest number of bags Lucia can make?
Find the highest common factor of 48 and 64
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
64 = 1, 2, 4, 8, 16, 32 and 64
The highest common factor of 48 and 64 is 16
The greatest number of bags Lucia can make = 16
Stickers = 64/16
= 4 stickers per bag
Markers = 48/16
= 3 markers per bag
Each of the 16 bags will contain 4 stickers and 3 markers
Imani is a scientist working with a cylindrical beaker. The base of the right cylinder has a diameter of 19 cm. She fills the
beaker with 2256.254 Cms of an acid. Approximately how high did the acid fill up the beaker?
Answer:
7.96 cm
Step-by-step explanation:
radius of bottom: 19/2 = 9.5
area of bottom = pi * r^2 = 283.53
height * base area = volume
100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!The high school baseball team had a winning season. Below is a histogram of the runs scored in their games this season. How many games were played in the season? Which range of runs scored during a game occurred most frequently? Which set of data fits with the given histogram?
Answer:
10 is the range 12 game were played in the season
Step-by-step explanation:
sorry if its wrong
Answer:
29 games were played in the season.
[6,8)
1,3,3,3,4,4,4,4,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,10,11,11,12
Step-by-step explanation:
The pool at the hotel where Gabriel is staying is symmetrical and shaped like the letter "W" below. A pool is made up of 3 rectangles. One rectangle has a base of 10 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. The bottom surface of the pool is flat and needs new tile. If each tile covers StartFraction 1 Over 9 EndFraction of a square yard and costs $3, what is the cost of the tiles to retile the bottom of the pool? $1,500 $4,500 $10,800 $13,500
Answer:
So its just 4,500 yw
Step-by-step explanation:
4,500 so b i think
PLS HELP 6TH GRADE PLEASE
Answer:
6 x 5 x 1/2(divide by 2) = 15, 15 x 2(two triangles) = 30
27 x 6 = 162 (area of base)
27(width) x 6(height) x 2(two rectangles on both slanted sides) = 324
Add given areas:
30 + 162 + 324 = 516 ft2 is your answer.