Answer:
16.4
Step-by-step explanation:
I did it on a calculator so I know its right
The hairdresser used 6.72 oz of shampoo out of the total
16.8 oz available.
What is fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. Example - 2/3, 4/5, 6/5. In every fraction of the form x/y - (x) is called numerator and (y) is called denominator.
Given is a a hairdresser who used 2/5 of a shampoo that contains 16.8 Oz of shampoo.
Assume that she used 'x' oz of shampoo. Then we can write the amount of shampoo used (x) as -
x = 2/5 of 16.8
x = 2/5 x 16.8
x = 33.6/5
x = 6.72 oz
We can say that - 6.72 oz of shampoo is used.
Therefore, the hairdresser used 6.72 oz of shampoo out of the total
16.8 oz available.
To solve more questions on fractions, visit the link below-
https://brainly.com/question/20849495
#SPJ5
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
For more such questions on square
https://brainly.com/question/27307830
#SPJ8
A single die is rolled. Find the probability of getting an odd number or a number less
than 5.
Answer:
Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5
Step-by-step explanation:
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
A triangle is shown with its exterior angles and the interior angles of the triangle are angles 2, 3, 5. The true statements are m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6. The correct answers are B, C, and E.
We know that the sum of the measures of the interior angles of a triangle is always 180 degrees. We can use this fact, along with the properties of exterior angles of a triangle, to determine which statements are always true regarding
m∠5 + m∠3 = m∠4 This statement is not always true. It is only true in this case because angle 4 is an exterior angle at vertex 3, which means that m∠4 = m∠3 + m∠5. Therefore, m∠5 + m∠3 = m∠3 + m∠5, which simplifies to m∠5 = m∠5. However, in general, this statement is not always true.
m∠3 + m∠4 + m∠5 = 180° This statement is always true, because the sum of the measures of the three exterior angles of a triangle is always 360 degrees. Therefore, m∠3 + m∠4 + m∠5 = 360°, which simplifies to m∠3 + m∠4 + m∠5 = 180°.
m∠5 + m∠6 = 180° This statement is always true, because the sum of an exterior angle and its adjacent interior angle is always 180 degrees. Therefore, m∠5 + m∠6 = m∠1 (because angle 1 is an exterior angle at vertex 2), and m∠1 + m∠2 + m∠3 = 180° (because the sum of the measures of the interior angles of a triangle is 180 degrees). Therefore, m∠5 + m∠6 = m∠2 + m∠3, which is equal to 180° (because m∠2 + m∠3 = m∠1, and m∠5 + m∠6 = m∠1).
m∠2 + m∠3 = m∠6 This statement is not always true. It is only true in this case because angle 6 is an exterior angle at vertex 5, which means that m∠6 = m∠5 + m∠3. Therefore, m∠2 + m∠3 = m∠2 + m∠5 + m∠3, which simplifies to m∠2 + m∠3 = m∠5 + m∠3. Then, by subtracting m∠3 from both sides, we get m∠2 = m∠5. However, in general, this statement is not always true.
m∠2 + m∠3 + m∠5 = 180°: This statement is always true, because the sum of the measures of the interior angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
Based on the above analysis, the statements that are always true regarding the diagram are
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 = 180°
m∠2 + m∠3 + m∠5 = 180°
Therefore, the correct options are B, C, and E.
To know more about triangle:
https://brainly.com/question/28835566
#SPJ1
What fraction of 400 gallons is 180 L? Give your answer in simplest form. 1 gallon = 4.5 L.
Answer:
400 gallons are 1100 / 63 of 126 L.
Step-by-step explanation:
Given
1 Gallon = 4.5 L
To determine
What fraction of 400 gallons is 180 L
as
1 Gallon = 4.5 L
so
400 Gallons = 400 × 4.5
= 1800 L
In order to determine the fraction of 400 gallons is 180 L, just divide 1800 by 180, so
Fraction = 2200 ÷ 126
= 1100 ÷ 63
Therefore, 400 gallons are 1100 / 63 of 126 L.
A game charges $0.99 for custom skins and a $9.99 membership fee. Write and expression that gives the
total cost in dollars for c number of skins and a membership.
Answer:
y=0.99c+9.99
Step-by-step explanation:
its 0.99 so you got to times it by the number since we have no number we are using the letter c as a substitute then add the membership fee
Answer:
0.99c + 9.99
Step-by-step explanation:
We know one part of the expression is going to be $0.99c, since it's $0.99 per custom skin, and c is the number of custom skins were getting.
Then we must add on the 9.99 on top of that, since that is the one-time membership fee. This is what the equation looks like :
0.99c + 9.99
Hope this helps :)
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
50 Points! Multiple choice algebra question. Shen is simplifying the expression (3x^4+4x^2) (x^3-2x^2-1). Which of the following shows the correct product. Photo attached. Thank you!
So, multiple choice algebra questions. the correct answer would be option D: \(3x^7 - 6x^6 - 11x^4 + 4x^5 - 4x^2\).
To simplify the given expression \((3x^4+4x^2) (x^3-2x^2-1)\), we can use the distributive property of multiplication to multiply each term of the first expression by each term of the second expression. This gives us:
\((3x^4+4x^2) (x^3-2x^2-1) \\= 3x^4(x^3) + 3x^4(-2x^2) + 3x^4(-1) + 4x^2(x^3) - 4x^2(2x^2) - 4x^2(1)\)
Simplifying each term, we get:
\(= 3x^7 - 6x^6 - 3x^4 + 4x^5 - 8x^4 - 4x^2\)
So, the correct answer would be option D: \(3x^7 - 6x^6 - 11x^4 + 4x^5 - 4x^2.\)
To know more about distributive property visit:
https://brainly.com/question/6276874
#SPJ1
Bob dio cuatro quintos de sus lapices a barbara, luego dio dos tercios de los lapices restantes a bonnie, si termino con 10 lapices para el... ¿ cuantos lapices tenia bob al principio?
Bob had 50 pencils in the beginning.
How is a fractional number expressed?A fractional number is expressed in the form -
x/y {where y ≠ 0)
Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.
Assume that he had {x} pencils in the beginning. We can write -
4x/5 + 2/3(x - 4x/5) = 10
4x/5 + 2x/3 - 8x/15 = 10
x(4/5 + 2/3 - 8/15) = 10
x = 10/0.93
x = 50
Therefore, Bob had 50 pencils in the beginning.
To solve more questions on Archimedes principle , visit the link below -
https://brainly.com/question/787619
#SPJ9
{QUESTION IN ENGLISH -
Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}
let be the amount of coffee (in ounces) that an undergraduate student at uiuc drinks per day. suppose we know that has a mean of 10 oz and a standard deviation of 5.2 oz. suppose there are 120 students in stat 107. assuming stat 107 students are a random sample, calculate the standard error of the average amount of coffee a stat 107 student drinks per day . is greater than 12.7 oz.
0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.
What is standard deviation?Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.
Given that,
Standard deviation (σ) = 5.2 oz
mean (μ) = 10 oz
Number of students (n) = 120
As we know,
P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ\(\sqrt{n}\)}/σ])
= P (z > [{12.7 - 10\(\sqrt{120}\)}/5.2])
= P (z > 1.86)
= 1 - P ( z < 1.86)
= 1 - 0.862394
= 0.137606
Thus, P( z > 12.7 oz.) = 0.137606
To know more about standard deviation refer to:
https://brainly.com/question/12669569
#SPJ4
If the graphs of the linear equations shown below are perpendicular, what is the value
of a?
y = 3x +8
2y = ax - 5
Answer:
\(a=-\frac{2}{3}\)
Step-by-step explanation:
We are given the lines, \(y=3x+8\) and \(2y=ax-5\). For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:
\(y=3x+8\) and
\(y=\frac{a}{2}x-2.5\)
The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:
\(-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}\)
I hope this helps! Let me know if you have any questions :)
During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the
beginning despring, the ice starts to melt.
3
The variable s models the ice sheet's thickness (in meters) t weeks after the beginning of spring.
8 = -0.25t+4
By how much does the ice sheet's thickness decrease every 6 weeks?
The sheet decreased by 1.5 meters and is now at 2.5 meters.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.
s = -0.25(6)+4
s = 2.5 meters
It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.
The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4
Learn more about equations on:
https://brainly.com/question/2972832
#SPJ1
During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.
The variable s models the ice sheet's thickness (in meters) t
weeks after the beginning of spring.
s=−0.25t+4s=-0.25t+4
s=−0.25t+4
By how much does the ice sheet's thickness decrease every 6 weeks?
The quotient of a number y and 2.
A. 2/y
B. 2(y)
C. 2 + y
D. y/2
Answer:
The answer to your problem is B.
X = 5(84/100) + 4(10/100) +3(4/100) + 2(1/100) + 1(1/10)
the correct answer is,
\(x = \frac{121}{25} \)
if you want me to solve without the parentheses then the answer would be,
\(x = \frac{1609}{100} \)
Answer:
What they said
Step-by-step explanation:
A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 45 ft, width 20 ft, and depth 5 ft. Suppose water is pumped out of the
pool at a rate of 250 ft per hour. If the pool starts completely full, how many hours does it take to empty the pool?
hours
2
the figure below shows a parallelogram abcd. side ab is parallel to side dc, and side ad is parallel to side bc: a quadrilateral abcd is shown with the two pairs of opposite sides ad and bc and ab and dc marked parallel. the diagonals are labeled bd and ac. a student wrote the following sentences to prove that parallelogram abcd has two pairs of opposite sides equal: for triangles abd and cdb, alternate interior angle abd is congruent to angle cdb because ab and dc are parallel lines. similarly, alternate interior angle adb is equal to angle cbd because ad and bc are parallel lines. db is equal to db by the reflexive property. therefore, triangles abd and cdb are congruent by the sas postulate. therefore, ab is congruent to dc and ad is congruent to bc by cpctc. which statement best describes a flaw in the student's proof? angle abd is congruent to angle cbd because they are vertical angles, not alternate interior angles. angle abd is congruent to angle cbd because they are corresponding angles, not alternate interior angles. triangles abd and cdb are congruent by the sss postulate instead of the sas postulate. triangles abd and cdb are congruent by the asa postulate instead of the sas postulate.
The phrase that best completes the student's proof is ASA postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent to each other, according to the ASA (Angle-Side-Angle) postulate.
ABCD is a parallelogram in this case.
That is to say, AB, CD, and AD BC.
We must demonstrate that the parallelogram ABCD has two pairs of opposite sides that are equal, namely AB CD, and AD BC.
The diagonal of the parallelogram ABCD is represented by BD ( shown in the below figure)
As a result, in ABD and CBD
ABCD CDB ( alternative interior angles made on parallel lines by the same transversal BD)
BD ≅ BD ( Reflexive ) ( Reflexive )
Furthermore, ADB CBD ( alternative interior angles made on parallel lines by the same transversal BD)
In this case, two angles and the included side of triangle ADB are congruent with two angles and the included side of triangle BCD.
As a result, according to the ASA postulate of congruence,
CBD for ABD
As a result, CPCTC, AB CD, and AD BC.
Learn more about the congruence of triangles here:https://brainly.com/question/29789999
#SPJ4
/dashboard/home
Question 1
Solve the equation.
8(4-x) -7x + 2
?
DONE
Answer:
34-15x
Step-by-step explanation:
(We need to use the order of operations to answer this question.)
8(4 - x) - 7x + 2 (multiply 8 times 4, and 8 times x)
(32 - 8x) - 7x +2 (combine like terms, 32 + 2, and -8x - 7x)
34 - 15x (this is your final answer)
I hope this helped :)
Answer:
-15x+34
Step-by-step explanation:
See Steps below:)
-4 (3+8h) =30 round to nearest hundredth
Answer
-1.31 if its getting rounded to nearest number.
The fraction will be -21/16
Select the best answer for the question.
14. What is the value of 3(-9) +6 |-6|?
A. -63
O B. 27
O C. 9
D. 63
O Mark for review (Will be highlighted on the review
Answer:
9 is the correct answer
hope that it will help you
Solve: 2m³-5m² - 7m = 0
Answer:
m = - 1 , m = 0 , m = \(\frac{7}{2}\)
Step-by-step explanation:
2m³ - 5m² - 7m = 0 ← factor out common factor m from each term
m(2m² - 5m - 7) = 0
factorise the quadratic 2m² - 5m - 7
consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term
product = 2 × - 7 = - 14 and sum = - 5
the factors are + 2 and - 7
use these factors to split the m- term
2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )
2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term
(m + 1)(2m - 7)
then
2m³ - 5m² - 7m = 0
m(m + 1)(2m - 7) = 0 ← in factored form
equate each factor to zero and solve for m
m = 0
m + 1 = 0 ( subtract 1 from both sides )
m = - 1
2m - 7 = 0 ( add 7 to both sides )
2m = 7 ( divide both sides by 2 )
m = \(\frac{7}{2}\)
solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)
Help please
Sarah's rectangular dining table has a area of 9000 sq ft and the length is 20 in less then four time the width find the length and width
Given that,
The area of a rectangular dining table = 9000 sq ft
Solution,
Let the width is b ft. Length is 20 less then four time the width.
Length = (4b-20) ft
The formula for the area of a rectangle is given by :
A = lb
Substitute all the values,
\(9000=b(4b-20)\\\\4b^2-20b-9000=0\\\\\text{It is a quadratic equation, when we solve it we get :}\\\\b=50,-45\ feet\)
Neglecting negative value, b = 50 ft
Length, l = (4(50)-20)
l = 180 ft
So, the length is 180 ft and width is 50 ft.
The y-intercept of 2x - y = 6 is -6.
O False
True
Answer:
It is true
Step-by-step explanation:
Convert to slope-intercept form:
2x-y=6
-y=6-2x
y=-6+2x
y=2x-6
Since y=mx+b is the form we want, then b=-6, making the statement true.
Answer:
true
Step-by-step explanation:
you switch the 2x to the other side to get -y = 2x + 6
then you multiply everything by -1 to get y = -2x-6
-6 is the y int
5/2 improper fraction as a mixed number
Answer:
5/2 as a mixed number is 2 1/2.
Step-by-step explanation:
To convert an improper fraction to a mixed number, you need to divide the numerator by the denominator. The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part of the mixed number.
To convert 5/2 to a mixed number:
Divide 5 by 2: 5 ÷ 2 = 2 with a remainder of 1
Write the whole number part and the remainder as the fractional part: 2 1/2
Therefore, 5/2 as a mixed number is 2 1/2.
2 1/2 is the mixed number equivalent of 5/2.
To convert the improper fraction 5/2 into a mixed number, you divide the numerator (5) by the denominator (2) and express the result as a whole number plus a proper fraction.
Dividing 5 by 2 gives us a quotient of 2 with a remainder of 1.
So, the mixed number equivalent of 5/2 is 2 1/2.
Learn more about fraction here:
https://brainly.com/question/29306119
#SPJ6
3/4K - 5/6m - 1/4K + 2/3m
*simplify
(EDITED) Answer:
1/2k - 1/6m
2/4K + (-1/6) m
Answer:
1/2K - 1/6m
Step-by-step explanation:
You can combine the ones with the same variable.
First, rearrange the equation:
3/4K - 1/4K - 5/6m + 2/3m
Then simplify each part
1/2K - 1/6m
Solve.
9x+9> 50.4
Enter the answer in the box.
X >
Rearrange unknown terms to the left side of the equation
\(\boldsymbol{\sf{ 9x > 50.4-9 \ \ \longmapsto \ \ \ [Subtract]}}\)
Calculate the sum or difference.
\(\boldsymbol{\sf{9x > 41.4 }}\)
Convert decimal to fraction.
\(\boldsymbol{\sf{9x > \dfrac{414}{10} }}\)
Reduce the greatest common factor for both sides of the inequality.
\(\boldsymbol{\sf{x > \dfrac{46}{10} }}\)
Reduce the fraction
\(\red{ \boxed{\boldsymbol{\sf{\blue{ Answer \ \ \longmapsto \ \ x > \dfrac{23}{5} }}}}}\)
Hello!
Let's solve this inequality for x:
\(\begin{aligned} \sf{\Box\!\!\!\!\!\star{9x+9 > 50.4}\\\sf{9x > 41.4}\\\sf{x > 4.6} \end{aligned}\)
Therefore \(\bold{x > 4.6}\).
Hope that helps! :)
-art lover
7 times a larger number added to 8 times a smaller number totals 44. When 2 times the
smaller number is subtracted from 2 times the larger number, the result is 4. What are the
two numbers?
Answer:
The two numbers:
4 and 2
Step-by-step explanation:
7a + 8b = 44 Eq. 1
2a - 2b = 4 Eq. 2
From Eq. 1:
7a = 44 - 8b
a = (44 - 8b) / 7 Eq. 3
From Eq. 2:
2a = 2b + 4
a = (2b+4)/2 Eq. 4
Equalyzing Eq. 3 and Eq. 4:
(44-8b)/7 = (2b+4)/2
2(44-8b) = 7(2b+4)
2*44 + 2*-8b = 7*2b + 7*4
88 - 16b = 14b + 28
88 - 28 = 14b + 16b
60 = 30b
60/30 = b
b = 2
From Eq. 4
a = (2b+4) /2
a = (2*2 + 4) / 2
a = (4+4)/2
a = 4
Check:
From Eq. 1:
7a + 8b = 44
7*4 + 8*2 = 44
28 + 16 = 44
HI is number 12 correct?
Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. The entire team scored points.
Answer:
45 is your answer
nnsnnsmam,aka
Which equation represents a circle that contains the point (–2, 8) and has a center at (4, 0)?
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Answer:
-3
Step-by-step explanation:
Answer:
\((x-4)^2 + y^2= 100\)
Step-by-step explanation:
edgenuity 2020
hope this helps!
The lifespans of seals in a particular zoo are normally distributed. The average seal lives 13.8 years; the standard
deviation is 3.2 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a seal living less than 7.4 years.
Answer:
67.715
Step-by-step explanation:
(68 - 95 - 99.7%)
I need to help me with this problem I'm not sure what I'm supposed to do.
Consider a point with rectangular coordinates (x,y).
If x<0 then the polar coordinates of the point are (r,θ) where r≥0 and −π/2≤θ<3π/2and:
r=
θ=
If x≥0 then the polar coordinates of the point are (r,θ) where r≥0 and −π/2≤θ<3π/2 and:
r=
θ=
Answer:
1.24
Step-by-step explanation:
i subtracted 1-1