Answer: 3 5/6
Step-by-step explanation:
A mixed number takes the whole number out of the improper fraction. The whole number 3 can be taken out of 23/6 (18/6). Then, there is a remainder of 5/6. Add the two together and the mixed number would be 3 5/6.
23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]
What is Fraction?A fraction represents a part of a whole.
We have to write 23/6 as a mixed number
Divide the numerator (23) by the denominator (6) and write the result as a whole number plus a fraction
23 ÷ 6 = 3 with a remainder of 5
So, 23/6 is equal to 3 and 5/6 as a mixed number.
Hence, 23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]
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Which of the following would earn the same amount of interest as a $600 principal with 2.5%
interest for 6 years?
Answer:$225 at 10% for 4 years and $80 at 75% for 18 months
Step-by-step explanation:
The required interest earned is given as $90, as of the given condition.
Given that,
Principal = $600
Rate = 2.5% and time = 6 years
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Here,
Simple interest = principal × rate × time /100
Simple interest = 600× 2.5× 6 /100
Simple interest = 90
Thus, the required interest earned is given as $90, as of the given condition.
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An elevator travels 310 feet in 10 seconds. At that speed, how far can this elevator travel in 14 seconds?
Answer:
434
Step-by-step explanation:
To find the answer you divide 310 by 10 to get it's feet per second (f/s) which is 31, and then you multiply 31 by 14 to get the distance the elevator will travel in 14 seconds.
Mark brainliest pls :)
Answer:
434 feet
Step-by-step explanation:
310 divided by 10 = 31
31 times 14 = 434 feet
what is
4.1 - 1.25 over 0.005
Answer:
Step-by-step explanation:
4.1-1.25=2.85
lets divide
2.85/0.005=570
Answer:
2.85/0.005=570
Step-by-step explanation:
Hope this helped have an amazing day!
Choose ASA, SAA, or neither
to describe this figure.
A
B
С
ASA
SAA
neither
Answer:
SAA
Step-by-step explanation:
SAA is correct
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
(x-y) (x²-2xy + y²)
Answer:
x³ - 2x²y + 3xy² - y³
Step-by-step explanation:
When multiplying with two brackets, you need to multiply the two terms, (x) and (-y) from the first bracket to all the terms in the second brackets, (x²), (-2xy) and (y²) individually. I have put each multiplied term in a bracket so it is easier.
(x-y)(x²-2xy+y²) =
(x × x²) + {x × (-2xy)} + (x × y²) + {(-y) × x²) + {(-y) × (-2xy)} + {(-y) × y²)
Now we can evaluate the terms in the brackets.
(x × x²) + {x × (-2xy)} + (x × y²) + {(-y) × x²) + {(-y) × (-2xy)} + {(-y) × y²) =
(x³) + (-2x²y) + (xy²) + (2xy²) + (-y³)
We can open the brackets now. One plus and one minus makes a minus.
(x³) + (-2x²y) + (xy²) + (2xy²) + (-y³) = x³ - 2x²y + xy² + 2xy² - y³
Evaluate like terms.
x³ - 2x²y + xy² + 2xy² - y³ = x³ - 2x²y + 3xy² - y³
please help me with this question
Answer:
12cm
Step-by-step explanation:
You can draw a triangle with hypotenusa 13, height h and base 5 (the difference between the radius 9 and 4). Then pythagoras tells us that
13² = h² + 5²
so
h = 13² - 5² = √144 = 12
Hector has 10 cups of flour. Which equation shows how to determine the number of Two-fifths of a cup servings there are in the 10 cups of flour?
Answer:
10 divided by two fifths = 25
17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)
pls help thank you<3
Answer:
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Step-by-step explanation:
Given
VA; [tex]x = 2[/tex]
SLA: [tex]y = 5x - 1[/tex]
Zero of function: [tex](-1,0)[/tex]
Required
Determine the rational function in expanded form
Analyzing the vertical asymptote
The vertical asymptote is given as:
[tex]x = 2[/tex]
Subtract 2 from both sides
[tex]x - 2 = 2 - 2[/tex]
[tex]x - 2 = 0[/tex]
This means that the denominator must be [tex]x - 2[/tex]
Analyzing the zero of the function
The zero of the function is given as: [tex](-1,0)[/tex]
This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]
Equate [tex]x = -1[/tex] to 0 by add 1 to both sides
[tex]x + 1 =- 1 + 1[/tex]
[tex]x + 1 =0[/tex]
This means that one of the numerators must be [tex]x + 1[/tex]
Analyzing the slant asymptote:
[tex]y = 5x - 1[/tex]
This means that one of the numerators must be [tex]5x - 1[/tex]
Hence, the function is:
[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]
Expand the numerator
[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.
solve quadratic equation 3x^2+2x-4=0
Answer:
x1=[tex]\frac{-1-13}{3}[/tex], x2=[tex]\frac{-1+13}{3}[/tex]
Step-by-step explanation:
A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each T-shirt printed with your design costs an additional $8.
A. write a linear model that represents the Total cost of purchasing your team's T-shirt with your design as a function of the number of T-shirts.
B. your team has 35 members. If a T-shirt is purshased for every member. what would be the cost?
Answer:
Part A)
[tex]C(t)=25+8t[/tex]
Part B)
[tex]C(35)=\$305[/tex]
Step-by-step explanation:
We will let t represent the total number of t-shirts printed.
We are charged an initial fee of $25. So, for our linear model, our constant is 25. And each t-shirt printed costs an additional $8. So, for t t-shirts, it will cost an additional 8t dollars.
Part A)
So, from the above information, we can write the following function:
[tex]C(t)=25+8t[/tex]
Where C(t) is the total cost for t shirts.
The 25 represents our initial fee and the 8t represents the cost for t t-shirts.
Part B)
So, if we have a team of 35 members, we will need 35 t-shirts.
Then the total cost will be given by:
[tex]\begin{aligned}C(35)&=25+8(35)\\&=25+280\\&=\$305\end{aligned}[/tex]
So, it will cost a total of $305.
Question 4 HELPPPPPPPPPPPPP
The opposite of 4 is -4 :/
Answer:
-4
Step-by-step explanation:
correct have a nice day
O
f(x) = 4x −2+ 7x
1) f(8) =
2) f(-5) =
3) f(0) =
solve 3cosx-1,0<=x<=pi/2
Answer:
E(-9)≈3.4936
Step-by-step explanation:
Calculate the arc length of the following curve from x = 0 to x = π/2:
y(x) = -1 + 3 cos(x)
Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.
Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:
s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx
Hint: | What is d/dx(-1 + 3 cos(x))?
Compute the derivative d/dx(-1 + 3 cos(x)):
= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx
Hint: | Can the integrand be simplified?
Simplify sqrt(1 + (-3 sin(x))^2):
= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx
Hint: | Can this integral be computed?
Compute the definite integral:
Answer: E(-9)≈3.4936
Molly has already taken 5 quizzes during past quarters, and she expects to have 4 quizzes during each week of this quarter. Write an equation that shows the relationship between the number of weeks x and the total number of quizzes y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 5 + 4(w)
Step-by-step explanation:
Given that:
Consider y to be the total number of quizzes and x to be the number of weeks;
The number of quizzes already taken during the past quarters = 5
The number of quizzes to be each week = 4
Therefore, the total number of quizzes is represented by quiz given during the past quarter and the quiz to be given in the future during every week of the quarter.
i.e
Total number of quiz y = quiz already taken during the past quarter + number of quiz each week(total number of weeks)
y = 5 + 4(w)
This is the required relationship between the number of weeks x and the total number of quizzes y.
Harry predicts that if he can cycle 5 miles in 1 hour, he can travel 20 miles in 4 hours. What do you think might be a problem with this prediction? Do you think that Harry can travel at the same speed for 4 straight hours? Why or why not? Write your answer in two to three sentences.
Answer:
no cycling for thatc long would cause you to be tired and will slow you down my personal opinon it would be 7 hours
Middle School has 700 students. 70% of its students are remote
learners. How many students are remote learners?
Answer:
490 students are remote learners
Step-by-step explanation:
Answer:
490
Step-by-step explanation:
hope this helps
have a nice day!
:)
A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term
Given:
[tex]f(1)=3,f(n)=2\times f(n-1)[/tex] ...(i)
For [tex]n\geq 2[/tex].
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
[tex]f(n)=r\times f(n-1)[/tex] ...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
[tex]r=2[/tex]
Now,
First term: [tex]a=f(1)=3[/tex]
Common difference: [tex]r=2[/tex]
nth term of a GP is
[tex]f(n)=ar^{n-1}[/tex]
Putting a=3 and r=2, we get
[tex]f(n)=3(2)^{n-1}[/tex]
Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].
I need help with this geometry problem please
Answer:
A. 29
Step-by-step explanation:
Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.
~theLocoCoco
Let $n$ be the smallest composite number such that it can be written as the product of two positive integers that differ by 10?
Answer:
The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.
Step-by-step explanation:
A composite number is an integer that is not a prime number, that is, a number that can be divided only by one and itself. Let be [tex]n[/tex] the smallest composite number such that there are two positive integers [tex]x[/tex], [tex]y[/tex] such that [tex]x - y = 10[/tex] and [tex]x\cdot y = n[/tex]. [tex]n[/tex] is a positive integer, since both integers are positive. Then, we can use the following formula:
[tex](y+10)\cdot y = n[/tex]
[tex]y^{2}+10\cdot y = n[/tex]
[tex]y^{2}+10\cdot y - n = 0[/tex] (1)
We obtain the roots of this second order polynomial by means of the Quadratic Formula:
[tex]y = \frac{-10\pm \sqrt{10^{2}-4\cdot (1)\cdot (-n)}}{2}[/tex]
[tex]y = -5\pm \sqrt{25+n}[/tex] (2)
Given that [tex]y > 0[/tex], we must observe the following inequation:
[tex]-5\pm \sqrt{25+n}>0[/tex] (3)
[tex]\sqrt{25+n} > 5[/tex]
[tex]25 + n > 25[/tex]
[tex]n > 0[/tex]
Let is find the values of x and y by iterative means:
x = 11, y = 1
[tex](11)\cdot (1) = 11[/tex]
11 is not a composite number, but a prime number.
x = 12, y = 2
[tex](12)\cdot (2) = 24[/tex]
24 is a composite number, which contains the following product of prime numbers:
[tex]2^{3}\cdot 3 = 24[/tex]
The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.
Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is StartFraction 2 Over 9 EndFraction of an inch thick, which expression can be used to determine the number of books that will fit into the box? 18 2/9 18 times 2/9 2/9 divided by 18 9/2 divided by 18
Answer:
A. 18÷2/9
Step-by-step explanation:
A. 18÷2/9
B. 18×2/9
C. 2/9÷18
D. 9/2÷18
Let
Total length of box = 18 inches
Thickness of each book = 2/9 inches
Number of books that will fit into the box = x
Number of books that will fit into the box = Total length of box ÷ Thickness of each book
x = 18 ÷ 2/9
= 18 × 9/2
= 162/2
= 81 books
The correct answer is A. 18÷2/9
Brandon and his friend Ben combined their allowance of $15 each, so they could buy a movie for $20. They bought a bag of popcorn to share for $2. Then they bought bags of candy with the remaining money and split the bags evenly between them. The candy cost $1 each.
Answer:
Hahaha hahaha hahaha hahaha
Help, please. My assignment is past due so pls hurry.
Answer:
X=8
Step-by-step explanation:
46+9x-8=14x-2
46-8+2=14x-9x
40=5x
8=x
Answer:
x=8
Step-by-step explanation:
Hope this helped have an amazing day!
through: (4, -5), perp. to y =2/3x – 3
Answer:
y=-3/2x+11
Step-by-step explanation:
M a t h w a y
Name the following note!!
Answer:
Maybe this will help btw not math
Step-by-step explanation:
Given that triangle RST is isosceles, find the value of x.
Answer:
x = 10
Step-by-step explanation:
RST is an isosceles triangle.
[tex]m\angle T = m \angle R\\\\
8x\degree = (3x + 50)\degree \\\\
8x = 3x + 50\\\\
8x - 3x = 50\\\|
5x = 50\\\\
x = \frac{50}{5} \\ \\ x = 10[/tex]
Please help faster all these three correct yes or no answer only if you know or I will report you I would like an expert or above to clarify for me thank you! Brainlist
Answer:
Yes, they are all correct.
How do you find the rule using this tile pattern and this graph
(need desperate help so I’ll add you as brainliest)
Answer:
I wish you the best dont let people brign you down sending love
Step-by-step explanation:
Please help me please!!
Answer:
(2) f(-2) = 3
Step-by-step explanation:
[tex]f(n)=(n-1)^2+3n[/tex][tex]f(-2)=(-2-1)^2+3(-2)[/tex][tex]f(-2)=(-3)^2+(-6)[/tex][tex]f(-2)=9-6[/tex][tex]f(-2)=3[/tex]