The answers to both the questions are as follows:
We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.The quantity of specific hair dye produced by given ingredients are:
= 1(1/8) + 3/4 + 5/8= 9/8 + 3/4 + 5/8= (9+6+5)/8 = 20/8 = 5/2ozAs a result, the amount of specific hair dye produced by given ingredients = 5/2qz
To calculate the amount of each ingredient needed to make 1 oz of specific hair dye, multiply the reciprocal of 5/2 by each ingredient.The amount of red tone required to make 1 oz of a specific dye:
= 3/8 × 2/5 = 3/20 oz
Gray tone = 3/1 × 2/5 = 3/10 Oz Brown tone = 5/8 × 2/5 = 1/4 Oz=Now, multiply each by 20.
The amount of red tone required to make 20 oz of a specific dye:
3/20 × 20 = 3 oz
Gray tone = 3/10 × 20 = 6oz Brown tone = 1/4 × 20 = 5ozTo find each dye needed to make 100 ounces of dye, multiply the above amounts by 5.
(Since, 100 = 20 × 5)The amount of red tone required to make 20 oz of specific dye: 15oz
Gray tone is similar: 30 ozBrown tone is: 25 ozTherefore, the answers to both the questions are as follows:
We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.Know more about ratios here:
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The correct question is given below:
To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 ounces of red tone, 3/4 ounces of a gray tone, and 5/8 ounces of brown tone. If the stylist needs to make 20 ounces of dye, how much of each dye color is needed? If the stylist needs to make 100 ounces of dye, how much of each dye color is needed?
HELP ME WITH THISSSS
Using it's concept, the probability that a randomly selected boy attended the dance is:
7/9.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
From the table, we have that:
There are 49 + 14 = 63 boys.Of those, 49 attended the dance.Hence the probability that a randomly selected boy attended the dance is given as follows:
p = 49/63 = 7/9.
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a light bulb consumes 2400 watts-hour per day. how many watts-hour does it consume in 5 days and 12 hours
The number of watts it will consume is 436.32
How the calculate the number of watts ?A light bulb consumes 2400 watts/hour
The number of watts it will consume in 5 days 12 hours can be calculated as follows
The first step is to change 5 days 12 hours to hours
120 hours + 12 hours
= 132 hours
The bulb consumes 2400 watts per hour
= 2400/132
= 18.18
The number of watts consumed in 5 days 12 hours is
= 24 × 18.18
= 436.32
Hence the light bulb will consume 436.32 watt-hour in 5 days 12 hours
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p^2+3p+1=0 using completing the square method
Answer:
Answer is in the picture attached
Panchito walks 9.75 kilometers in 90 minutes what is the unit rate in kilometers per hour
Answer:
6.5 kilometers per hour
Step-by-step explanation:
90 minutes is 1 1/2 hours.
to find the unit rate you would divide the distance by the time so you would divide 9.75 by 1.5 (1.5 is the decimal version of 1 1/2) which would give you 6.5 kilometers per hour
Each shape in the diagram below stands for a number.
000
Work out the value of each shape.
50/51 Marks
Total 90
-Total 66
The value of the circle is 20 while the triangle is 35
How to determine the values of each shape?From the figure, we have
Three circles and Two triangles
Such that:
Three circles = 60
One circle and Two triangles = 90
Represent the circle with x and the triangle with y
So, we have
3x = 60
x + 2y = 90
The above forms a system of linear equations
Divide 3x = 60 by 3
x = 20
Substitute x = 20 in x + 2y = 90
20 + 2y = 90
This gives
y = 35
So, we have
Circle = 20
Triangle = 35
Hence, the values of the shapes are 20 and 35, respectively
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The ratio of boys to girls in math class is 2:4. If there are 24 students
in total in the class, how many boys and girls are there?
Answer:
8 boys and 16 girls
Step-by-step explanation:
2 boys plus 4 girls is six and six goes into 24 four times so 2 times four is eight and 4 times four is 16
Answer:
Step-by-step explanation: Since there are 24 students in total and the ratio is 2:4 then divide 24 by (2+4) which is 4. So the amount of boys is 2x4 which is 8. The amount of girls is 4x4 which is 16. 8+16=24
[tex] \rm\sum \limits_{n = 2}^{ \infty } \frac{1}{( {n}^{2} - 1 {)}^{2} } \\ [/tex]
Partial fractions:
[tex]\displaystyle \frac1{(n^2-1)^2} = \dfrac14 \left(\frac1{n+1} - \frac1{n-1} + \frac1{(n+1)^2} + \frac1{(n-1)^2}\right)[/tex]
Now evaluate the sums. The first two terms form a telescoping sum,
[tex]\displaystyle \sum_{n=2}^\infty \left(\frac1{n+1} - \frac1{n-1}\right) = \sum_{n=1}^\infty \left(\frac1{n+2} - \frac1n\right) \\\\ ~~~~~~~~ = \lim_{N\to\infty} \sum_{n=1}^N \left(\frac1{n+2} - \frac1n\right) \\\\ ~~~~~~~~ = \lim_{N\to\infty} \left(\frac1{N+2} + \frac1{N+1} - 1 - \frac12\right) \\\\ ~~~~~~~~= -\frac32[/tex]
The others are flavors of [tex]\zeta(2)[/tex].
[tex]\displaystyle \sum_{n=2}^\infty \frac1{(n+1)^2} = \sum_{n=3}^\infty \frac1{n^2} \\\\ ~~~~~~~~~~~~~~~~~ = \sum_{n=1}^\infty \frac1{n^2} - 1 - \frac1{2^2} \\\\ ~~~~~~~~~~~~~~~~~ = \frac{\pi^2}6 - \frac54[/tex]
[tex]\displaystyle \sum_{n=2}^\infty \frac1{(n-1)^2} = \sum_{n=1}^\infty \frac1{n^2} \\\\ ~~~~~~~~~~~~~~~~~ = \frac{\pi^2}6[/tex]
It follows that
[tex]\displaystyle \sum_{n=2}^\infty \frac1{(n^2-1)^2} = \frac14 \left(-\frac32 + \left(\frac{\pi^2}6 - \frac54\right) + \frac{\pi^2}6\right) = \boxed{\frac{\pi^2}{12} - \frac{11}{16}}[/tex]
if two intersecting lines are not perpendicular, then they form which two types of angles
+87 + (4 + 8) = (7 + 4) + what property is
Answer:
87+(4+8)=(7+4)+x
87+12=11+x
87+12-11=x
88=x
What solution value satisfies the compound inequality 4 < 3x∕2 + 1 < 7?
Question 12 options:
A)
x = 0
B)
x = 4
C)
x = 3
D)
x = 6
Answer:
C) x = 3
Step-by-step explanation:
To find the solution value that satisfies the inequality 4 < 3x∕2 + 1 < 7, you must plug every x value into the x and see which one works.
Plug 0 into x
4 < 3(0)∕2 + 1 < 7
4 < 0∕2 + 1 < 7
4 < 0 + 1 < 7
Combine like terms
4 < 1 < 7
This is false, 1 is not greater than 4.
Plug 4 into x
4 < 3(4)∕2 + 1 < 7
4 < 12∕2 + 1 < 7
4 < 6 + 1 < 7
Combine like terms
4 < 7 < 7
This is false, 7 is not less than 7.
Plug 3 into x.
4 < 3(3)∕2 + 1 < 7
4 < 9∕2 + 1 < 7
4 < 4.5 + 1 < 7
Combine like terms
4 < 5.5 < 7
This is true, 5.5 is greater than 4 and less than 7.
Plug 6 into x.
4 < 3(6)∕2 + 1 < 7
4 < 18∕2 + 1 < 7
4 < 9 + 1 < 7
Combine like terms
4 < 10 < 7
This is false, 10 is not less than 7.
C) x = 3 is the only true solution that works, so that is your answer.
I hope that helped and have a lovely rest of your day! :)
What is the simplest form of the expression below?
Answer:
A. (2x+4)/x
Step-by-step explanation:
What is an integer between -5. And -6
Answer:
does not exist
Step-by-step explanation:
You want an integer between -5 and -6.
IntegersThe integers -5 and -6 are consecutive integers. There are no integers between these values. (That's what "consecutive" means.)
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 5 more than 4 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 95 ?
Mark has 18 and Don has 77 number of marble to sell.
Let’s say Mark has x number of marble and Don’s marble number is y.
According to this problem we have,
Y = 4x +5
And x + y = 95
Or, x + 4x + 5 = 95
Or, 5x = 90
Or, x = 18 and y = 77
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Convert 1/2 into a fraction whose denominator is 10. Then write the corresponding decimal number
Answer:
• 5/10
• 0.5
Step-by-step explanation:
1.) if you multiply the numerator by 5 and the denominator by 5 you are left with a fraction of 5/10.
2.) the fraction line represents division. So 5 ÷ 10 = 0.5.
At Dapper Dave's annual end-of-season sale, every necktie in the shop gets marked down. Dillon purchased 6 neckties during the sale. Each necktie cost $5 less than its full price. He paid a total of $162. What is the cost of each necktie at full price?
$32 is the cost of each necktie at full price.
Given that
At Dapper Dave's annual end-of-season sale, every necktie in the shop gets marked down.
Dillon purchased 6 neckties during the sale. Each necktie cost $5 less than its full price.
He paid a total of $162.
To find
What is the cost of each necktie at full price ?
So, according to the question
we have,
On that end-of-season sale
Total purchased neckties = 6
Discount on each neckties = $5
Amount paid by him = $162
Let's assume the full price of one neckties is $x.
So,
The price of one neckties after discount = x - 5.
So the price of one neckties after discount = 6(x-5)
He paid $162 for 6 neckties,
So we can say that
the price of one neckties after discount = $162
So,
6(x-5) = 162
x-5 = 162/6
x-5 = 27
x = 27+5
x = 32
The cost of each necktie at full price is $32.
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Can you please help with this.
Answer:
1. 11/12 2. 3/20 3. 18/4 or 4 1/2
Step-by-step explanation:
POSSIBLE POINTS: 5.88
A rectangular playground is to be fenced in using a wall on one side and 210 meters of fencing for the other three sides. The area A(z) in square
meters of the playground is a function of the length z in meters of the side parallel to the wall.
Write an expression for A(z)
The function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)
How to write a function of the length z in meters of the side parallel to the wall?The given parameters are:
Perimeter = 210 meters
Let the length parallel to the wall be represented as z and the width be x
So, the perimeter of the fence is
P = 2x + z
This gives
210 = 2x + z
Make x the subject
x = 1/2(210 - z)
The area of the wall is calculated as
A = xz
So, we have
A = 1/2(210 - z) * z
This gives
A = z/2(210 - z)
Rewrite as
A(z) = z/2(210 - z)
Hence, the function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)
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If f(x)=−7ex, find f(2) rounded to the nearest tenth.
Answer:
Step-by-step explanation:
f(x)=-7ex
f(2)=-7e(2)
f(2)=-10
PLEASE HELP ASAP!
What is the upper bound of the function?
f(x)= 3x^4 -7x^3 +5x -3
( ^4 and ^3 are exponents)
The term of highest degree is given as 3x⁴,and it has a positive coefficient. The upper bound is +∞.
What is the degree of a polynomial ?To determine the degree of a polynomial just observe the highest power of the given variable.
We have polynomial given by f(x) = 3x⁴ - 7x³ +5x -3
Here we can see that it is a polynomial in of degree 4.
We know that a polynomial of degree has n number of roots so it is obvious a polynomial of degree 4 has 4 roots.
The function that tends to infinity as x goes in both the positive and negative directions.
The term of highest degree is given as 3x⁴,and it has a positive coefficient.
The upper bound is +∞.
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How many rectangles (including squares) are there in a 4x4 square
Answer:
70 squares
Step-by-step explanation:
this is my answer to your question
Answer:
Hello,
100
Step-by-step explanation:
a square 4*4 : wide=4 , lenght=4
number of rectangles= wide*(wide+1)*lenght*(lenght+1) /4 = 4*5*4*5/4=100
Proof:
1 per 1 : 16 (rectangles )
1 per 2: 3*4=12
1 per 3: 2*4=8
1 per 4: 1*4=4 so 4*(4+3+2+1)=4*10=40
2 per 1: 4*3
2 per 2: 3*3
2 per 3: 2*3
2 per 4: 1*3 so 3*(4+3+2+1)=30
3 per 1: 4*2
3 per 2: 3*2
3 per 3: 2*2
3 per 4: 1*2 so 2*(4+3+2+1)=20
4 per 1: 4
4 per 2: 3
4 per 3: 2
4 per 4: 1 so 1*(4+3+2+1)=10
Total=40+30+20+10=(4+3+2+1)*(4+3+2+1)=100
In a photograph, allison stands next to her brother caleb
The actual height of Caleb based on the ratio in the photograph and actual is 48 inches.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
Let's say Allison and Caleb's height in the photograph is A' and C' while in actuality it is A and C.
Since the ratio of height in the photograph will same as the ratio in actual life.
Thereby,
C/A = C'/A'
C/60 = 3.2/4
C = 192/4
C = 48 inches.
Hence "The actual height of Caleb based on the ratio in the photograph and actual is 48 inches".
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Given question is incomplete complete question follows ;
In a photograph, Alison stands next to her brother Caleb. Alison is 4 cm tall in the photograph. Her actual height is 60 in. Caleb is 3.2 cm tall in the photograph.
What is his actual height?
(Show your work)
help with theses answer please
Answer: correct me if I’m wrong
Step-by-step explanation:
rofessor Frank Nabarro insists that all senior physics majors take his notorious physics aptitude test. The test is so tough that anyone not going on to a career in physics has no hope of passing, whereas 55% of the seniors who do go on to a career in physics still fail the test. Further, 75% of all senior physics majors in fact go on to a career in physics. Assuming that you fail the test, what is the probability that you will not go on to a career in physics? (Round your answer to four decimal places.)
The probability that you will not go on to a career in physics is 0.215.
How to calculate the probability?From the information, the test is so tough that anyone not going on to a career in physics has no hope of passing, whereas 55% of the seniors who do go on to a career in physics still fail the test and 75% of all senior physics majors in fact go on to a career in physics.
Therefore, the probability that you will not go on to a career in physics will be:
= (1 - 0.75) / (0.75 × 0.55) + (0.75)
= 0.25 / (1.1625)
= 0.215
Therefore, the probability that you will not go on to a career in physics is 0.215.
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21-B Book Street Books sells about 1100 books each month. The circle graph displays the most popular book categories, by percentage, each month.
science fiction 38 %
Categories of Books Sold
children's fiction 13%
nonfiction 24%
sports 10%
romance 15 %
Step 1 of 5: Find the number of nonfiction books sold each month. Round your answer to the nearest integer.
well, we know they sell a total of about 1100 books monthly, and that nonfiction is 24% of that, what's 24% of 1100?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{24\% of 1100}}{\left( \cfrac{24}{100} \right)1100}\implies 264[/tex]
please help me. I will give extra points and a Brainly.
Answer:
All I can think of is ¨pattern¨
Which of these could be an option after high school for Jon, an active person, who is interested in higher education but who doesn't want to take out student loans?
O Sign up for the military
O Apply for college
O
Take a reflection year
Attend a technical school
The option after high school for Jon, an active person, who is interested in higher education but who doesn't want to take out student loans is to take a reflection year.
How to illustrate the information?It should be noted that based on the information, the inference has to do with the conclusion that one gets from the information or evidence that is given earlier.
In this instance, it should be mentioned that Jon, an energetic individual interested in further education but unwilling to take out student debt, has the choice to take a reflection year following high school.
In conclusion, the correct option is C.
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Goofy ahh questions are hard
Answer:
True sometimes when it is stressful.
Step-by-step explanation:
Answer:
Step-by-step explanation:
your very right
The product of a number and 10
A rectangle has side lengths of 7units and (x + 4) units. When multiplied the area is 70 units². Write and solve an equation that will allow you to find the value of x.
Answer:
7(x + 4) = 70
x = 6
Step-by-step explanation:
7(x + 4) = 70 Distribute the 7. Multiply everything inside the parentheses by 7
7x + 28 =70 Subtract 28 from both sides of the equation
7x = 42 Divide both sides by 7
x = 6
Subtract the polynomials. Indicate the degree of the resulting polynomial.
(10x^4y^2-9x^3y-9y)-(5x^4^y2+10x^3y+12y-8x)
The degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.
How to Subtract Polynomials?Given, (10x^4y^2 - 9x^3y - 9y) - (5x^4^y2 + 10x^3y + 12y - 8x), to subtract, open the parentheses using the distributive property.
10x^4y^2 - 9x^3y - 9y - 5x^4^y² - 10x^3y - 12y + 8x
Combine like terms together
10x^4y^2 - 5x^4^y² - 9x^3y - 10x^3y - 9y - 12y + 8x
5x^4^y² - x^3y - 12y + 8x
The highest degree is 4. This determines the degree of a polynomial.
Therefore, the degree of the resulting polynomial, 5x^4^y² - x^3y - 12y + 8x, after subtraction is: degree 4.
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