Using proportions, supposing that 30% of the tiles are purple, it is found that the value of x is of x = 16.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the ratio of purple tiles to white tiles is given by:
[tex]\frac{2x + 1}{4x + 13}[/tex]
We consider that 30% of the tiles are purple, hence 70% are white, which means that:
[tex]\frac{2x + 1}{4x + 13} = \frac{3}{7}[/tex]
Applying cross multiplication:
14x + 7 = 12x + 39
2x = 32
x = 16.
The value of x is of x = 16.
More can be learned about proportions at https://brainly.com/question/24372153
In how many ways can the word "calculus" be arrange so that two L's do not come together?
Count the total number of permutations of the word "calculus": there are 8 letters, hence 8! = 40,320 total permutations.
Count the number of permutations in which the two L's occur next to each other. Effectively we're now talking about words consisting of 7 letters, of which there are 7! = 5,040.
It follows that there are
8! - 7! = 35,280
words in which two L's do not appear next to each other.
Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
Answer:
x^2 – 4 = 0 AND 4x^2 = 16
Step-by-step explanation:
a) x^2 – 4 = 0 --> (x + 2)(x - 2)=0 --> x= -2 AND x= +2
b) x^2 = -4 doesn't have any solution in the real numbers.
c) 3x^2 +12 = 0 -->(divide by 3)--> x^2 +4 =0 ---> x^2 = -4 as b)
d) 4x^2 = 16 -->(divide by 4)--> x^2 = 4 --> x^2 -4 = 0 as a)
e) 2(x -2)^2 =0 -->(divide by 2)--> (x-2)^2 =0 --> one solution that is x=+2
PLEASE HELP ILL GIVE U BRAINLY IF U GET IT RIGHT AND EXPLAIN WHY TOO !!
Camille has 6 water balloons. Each is filled with 4 fluid ounces of water . Bibi has 5 balloons. Each is filled with 1 cup of water . Whose balloons contain the most water?
Answer:
Bibi
Step-by-step explanation:
1 ounce=.125cup(1/8)
Camille:
6*4=28(28 fluid ounces or3.5cups)
Bibi: 5*1 cups=5 cups.
the figure is cut into 12 equal pieces. shade 2/3 of the figure
Answer:
So you shade 8 parts in and the remaining is 4 so that the other 1/3 of 2/3
Answer
so basically you're asking shade 2/3 out of 12 equal pieces
so lets do 12 divided by 3 witch is four
so there would be 3 parts that have 4 pieces, and 4 times two is eight, so shade in 8 pieces :0 :)
A washer and dryer cost $918 combined . The washer cost $68 more than the dryer . What's is the cost of the dryer ?
Which of the following points is the reflection of (8, -5) in the y-axis?
A. (8, 5)
C. (-8, 5)
B. (-5, 8)
D. (-8, -5)
Answer:
D
Step-by-step explanation:
When you flip a point around the y axis the x value is inverted since the point is moved to the opposite side across the y axis.
What is the volume of a rectangular prism with length 7 cm, width 2 cm, height 5 cm?
Answer:
[tex]7x2x5= 70[/tex]
Hope This Helps! :)
Whats the diameter of the sphere
Answer:
Here is answer my monkey brotheren
Step-by-step explanation:
PLEASE HELP ASAPP!! WILL MARK BRAINLIEST (NO LINKS)
Find the axis of symmetry and
the
vertex of the graph of y = 3x^2
-18x + 17
Answer:
vertex: (3, -10)
axis of symmetry: x = 3
Step-by-step explanation:
Vertex form of a quadratic equation: [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
Rewrite the given equation in vertex form by completing the square.
Given equation:
[tex]y=3x^2-18x+17[/tex]
Add 10 to both sides:
[tex]y+10=3x^2-18x+27[/tex]
Factor RHS:
[tex]y+10=3(x^2-6x+9)[/tex]
[tex]y+10=3(x-3)^2[/tex]
Subtract 10 from both sides:
[tex]y=3(x-3)^2-10[/tex]
Therefore, the vertex is (3, -10)
The axis of symmetry is the x-value of the vertex.
Therefore, the axis of symmetry is x = 3.
Answer:
Axis of symmetry: x = 3
Vertex: (3, -10)
Step-by-step explanation:
y = 3x² - 18x + 17
Axis of symmetry formula: x = [tex]\sf{\frac{-b}{2a}}[/tex]
a = 3b = -18[tex]\sf x={\frac{-b}{2a}}\implies \textsf{Substitute -18 for b and 3 for a}\\\\\sf\ x={\frac{-(-18)}{2(3)}}\implies\textsf{multiplying 2 negatives makes a positive}\\\\\sf\ x={\frac{18}{6}}\implies \textsf{divide}\\\\\ \boxed{\sf x=3}\implies \textsf{axis of symmetry}[/tex]
Now, substitute 3 for x in your original equation to find the value of y:
y = 3x² - 18x + 17
y = 3(3)² - 18(3) + 17 <== exponents first
y = 3(9) - 54 + 17 <== multiply
y = 27 - 54 + 17 <== subtract
y = -27 + 17 <== add
y = -10
Vertex: (3, -10)
Hope this helps!
The tax rate is 3.9 what is the tax on $42 round to the nearest hundredth
Answer:
If the tax rate = 3.9% and the product u are buying is priced at $42 Then, the amount you will pay for the object will be, $42 + 3.9/100 * 42
Step-by-step explanation:
I hope this help
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the
following procedures would produce a simple random sample?
O Assign the homework questions the numbers 1-10. Use a random number table to select the first three number
between 1 and 10. These represent the questions that will be graded,
• Assign the homework queations the numbers 0 to 9. Use a random number table to select the 1o first three numbe
between 0 and 9. These represent the questions that will be graded.,
Assign the homework questions the numbers 01-10. Use a random number table to select the first three 2-digit 1O
numbers between 01 and 10. These represent the questions that will be graded,
Assign the homework questions the numbers 0-9. Use a random number table to select the first three 1o unique
numbers between 0 and 9. These represent the questions that will be graded.
Answer:
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Step-by-step explanation:
D.
PLEASEEE HELP 100 POINTSSS AND BRAINLIEST!!!! THANKSSSSS <33
Answer:
The answer would be a
Step-by-step explanation:
An acute angle is an angle with two similar sides an obtuse angel is an very wide trianglee
Step-by-step explanation:
please mark me as brainlest
60 units needed 14 units per case
what you mean bro??
mitch must pack 88 pencils into 9 boxes.Each box must contain an equal number of pencils.How many pencils does he have left over
A] 3
B] 5
C]7
D] 8
Answer:
c
Step-by-step explanation:
i took the test
A balloon archway has been ordered for decorating the high school gym for a 1950's
style prom. The archway will contain 417 balloons, each holding 1.1 liters of helium.
Each balloon has a mass of 0.027 grams when empty, and all the string and fixings
that hold the balloons together total another 36 grams. If helium has a density of
0.1785 grams per liter, what is the mass of the entire archway.
We will see that the total mass of the entire archway is M = 129.1578g
What is the mass of the entire archway?We know that each ballon weighs 0.027 grams for the plastic.
Now, we also need to remember the relation:
mass = density*volume.
Here, the density of helium is 0.1785 g/L
And the volume of each ballon is 1.1 L, then the mass of helium in each ballon is:
m = (0.1785 g/L)*(1.1 L) = 0.1964 g
Then the total mass of each ballon is:
M = 0.1964 g + 0.027g = 0.2234g
And there are 417 ballons, so the total mass (also adding the 36 grams for the strings) is:
Mass = 417*0.2234g + 36g = 129.1578g
If you want to learn more about mass, you can read:
https://brainly.com/question/1354972
Pls help with math pls will give brainlest due soon
1
Select the correct answer.
Which graph shows a quadratic equation with complex roots?
Answer:
C (the bottom one)
Step-by-step explanation:
B (the top one) has roots/solutions — as in, it crosses the x-axis.
C doesn't have roots, and therefore doesn't have normal solutions, instead it has "complex" roots which require the use of imaginary numbers: [tex]i[/tex]
write an equation in factored form that has (-7,0) & (-10,0) as its zeroes and passed through the point (-5,20)
Equation
Step-by-step explanation:
so its step by step
A desk is on sale for $198.40, which is 32% of the regular price.
What is the regular price?
What is the median for this list of numbers? 2, 5, 8, 9, 11,3
6.5 because if you place the numbers from smallest to greatest and find the two numbers in the middle which are 5 and 8 you should add them and then divide by 2 and this is the answer
An equation is shown below:
5x + 3(x − 5) = 6x + 2x − 15
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
Your answer:
Answer:
infinity
Step-by-step explanation:
the distributive property is used when 3 is multiplied to x and 5 so it becomes 3x-15 and you combine like terms after that.
HELP PLEASE
Leigh bought a conical candle wax mold. The height of the mold is 16.5 inches and the radius of the inside of the top of the conical
mold is 2.4 inches. She fills the mold completely with candle wax so that it is level with the top of the conical mold.
Using 3.14 for , approximately how much candle wax can the conical mold hold?
A. 41.45 cubic inches
B. 124.34 cubic inches
C. 99.48 cubic inches
D. 43.41 cubic inches
Answer:
Formula for volume of cone;
V = 1/3π[tex]r^{2}[/tex]h
Plug in what you know:-
V = 1/3π[tex]r^{2}[/tex]
will be
V = 1/3(3.14) · 2.4^2 · 16.5
Simplify and solve,
V = 1/3(3.14) · 5.76 · 16.5
V = 1.05 · 5.76 · 16.5
V = 6.05 · 16.5
V = 99.825, your answer is C; 99.48 cubic inches.
George and his friends rode motorcycles all day on Saturday. He made a table that showed the number of gallons of gas remaining at the end of each hour.
Answer:
negative correlation
Step-by-step explanation:
his fuel keeps decreasing every time he uses his motorcycle
What one is it? Pls help
Answer:
It is A
Step-by-step explanation:
The denominator , 'x' cannot be 0 <=====undefined
but it CAN be any other number
domain ( the 'x' values' ) can be all numbers except 0
The range will be all numbers except zero also....there is no way to make the y = 9/x eqaul to 0 .
your answer is going to be a
I’ll give brainliest
It is predicted that by 2050, there will be 10^10 people living on Earth. At that time, it is predicted there will be approximately 10^12 trees. How many trees will there be for each person?
Answer:
100 trees per person
Step-by-step explanation:
10^12 trees / 10^10 persons = 10^(12-10) = 10^2 trees/person
Answer:
Step-by-step explanation:
Givens
There are 10^12 trees
There are 10^10 people
Solution
Number of trees / person = Number of trees / Number of people = 10^12/10^10= 10^(12 - 10) = 10^2 = 100
There will be 100 trees / every person on the planet.
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
We know that sum of angles of a triangle are equal to 180⁰
Therefore
29⁰+68⁰+x⁰=180⁰
97⁰+x⁰=180⁰
x⁰=180-97=83⁰
Hence x=83⁰
Also Side Note: x⁰=y⁰=83⁰(reason=vertically opposite angles)
I hope it helped you
PLEASE HELP ME!! I NEED HELP WITH THIS!!
Answer:
D
Step-by-step explanation:
To reflect over the Y axis, the X values of each coordinate must be made into opposites. So a coordinate with the form (x,y) will become (-x,y) when reflected across the Y axis, which is needed here.
on a rainy day, parker and his mom watched movies for 2 2/3 hours. they played games for 1 1/4 times as long as they watched movies. how many hours did parker and his mom play games
Answer:
3 1/3 hours
Step-by-step explanation:
if you use cross multiplication and multiply 1 by 2 2/3 you get 2 2/3 and if you multiply 1/4 by 2 2/3 add them together and you'll get 3 1/3 hours or also known as 3 hours and 20 minutes
HDTV screens usually have a width to height ratio of 16:9 which screen dimentions are in the same propeortion
Answer:
4 feet by 3 feet
Step-by-step explanation:
width-to -height ratio of 16:9
Let analyse all possible answers:
4 feet by 3 feet
16 divided by 4 is the same as 9 divided by 3 => it is true
28 inches by 21 inches
16 divided by 28 is different as 9 divided by 21 => it is wrong
48 centimeters by 27 centimeters
16 divided by 48 is different as 9 divided by 27 => it is wrong
26 inches by 19 inches
16 divided by 26 is different as 9 divided by 219=> it is wrong
I choose A.
Hope it will find you well.