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
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.
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
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
Jerry borrowed $400 for 5 years at 6% simple interest rate. What will the value of Jerry’s account be after 5 years
Answer:
here's the answers...,........
50 POINTS PLUS BRAINLIEST
Answer:
New depth: 11.8 feet
Step-by-step explanation:
0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
Hope this helps!
xoxo,
cafeology
Answer:
43.5 ft below the surface
Step-by-step explanation:
0.5*5= 2.5
-46+2.5= -43.5
Melissa ran at a constant speed of 509.056 meters in 62.08 seconds. How far did Melissa run in one second?
Answer:
8.2
Step-by-step explanation:
509.056/62.08
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:
Choose ASA, SAA, or neither
to describe this figure.
A
B
С
ASA
SAA
neither
Answer:
SAA
Step-by-step explanation:
SAA is correct
PLEASE HELP ILL GIVE BRAINLIEST I JUST NEED THE ANSWER
Answer:
WHATT IS THIS MATH IT LOOKS SO HARD:0
please help me I dont know the answer
Answer:
2.71
Step-by-step explanation:
Its as simple as plugging in the values of y and z.
THis would give you
-1.46 + (-3.82) + 7.99
This plus^ you can think about having a 1 in front of it like
-1.46 + 1 (-3.82) +7.99
Multiple positive 1 with -3.82 1 times any value is that number, and positive times negative is negative. then looking like this:
-1.46 - 3.82 + 7.99 plug into a calculator and you get +2.71
Answer:
2.71
Step-by-step explanation:
We'll add the first value and the value in parentheses, being -3.82, then we'll add y, which is a negative because "-y", being -1.46. That becomes -5.28.
We'll then take our -5.28 and add 7.99, which will become 2.71.
Therefore, 2.71 is your answer.
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!
:)
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!
24/514.8
I really need help on this question please help me
I'm begging thanks :)
Answer:
the answer is .04634994206
=
105 min
game
?hr.
game
Help please
Answer:
105 minutes= 1 hour and 45 minutes
Answer:
1 hour and 45 minutes
or
1.75 hours
O
f(x) = 4x −2+ 7x
1) f(8) =
2) f(-5) =
3) f(0) =
y = 3x + 10 when x = -5
Answer:
25
Step-by-step explanation:
Answer:
the answer would be -5 because
Step-by-step explanation:
y=3(-5)+10
y=-15+10
y=-5
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].
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
Juan hires an electrician.
Juan pays a one-time fee of $30.
Juan also pays $45 for each hour the electrician works.
Write a function that can be used to find the total charge, c, Juan will pay when the electrician works,h, works
Answer:
c = 45h + 30
Step-by-step explanation
Hi! You know that you are trying to find the value of c, so you are going to set that as what would be your y value.
Now you know that you have to pay $30 as a fee no matter what, so you need to make sure that there is $30 attached to the equation without it being multiplied by anything.
Next, you know that it is $45 per hour, so you are going to multiply 45*h, where h is the number of hours the electrician works.
Hope this helps!
please help meeeeeeeeeee
Answer:
x=-5
Step-by-step explanation:
If f(x)=0, then x=-5
Drawing the line y=0 shows this visually
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.
A Census Bureau report on the income of Americans says that with 90% confidence the mean income of all US households in a recent year was $57,005 with a margin of error of $742. This means that
Answer: d. the census bureau got the result 57,005 plus or minus 742 using a method that will capture the true median income 90% of the time when used repeatedly.
Step-by-step explanation:
No t-value has been included in this interval so it cannot be correctly labeled a confidence interval.
This invalidates options a to c.
Option d is therefore the correct answer because it states that the census bureau simply got those results above without claiming that the results constituted a confidence interval.
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]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]
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.
Learn more about simple interests here:
https://brainly.com/question/26457073
#SPJ5
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.
Answer:
There needs to be 300 liters of Drink A and 270 liters of Drink B
Step-by-step explanation:
Let a = the amount of Drink A and b = the amount of Drink B
Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:
0.2a + 0.15b = 100.5
We know what the difference between a and b will be 30 liters so:
a - b = 30
Now we have our system of equations
To cancel out a, we can multiply the first equation by -5 so we will now have:
-a - 0.75b = -502.5
a - b = 30
Adding these two equations together, we get:
-1.75b = -472.5
Both sides are negative, so we can take the negative signs away.
1.75b = 472.5
Now divide both sides by 1.75
b = 270
Plugging 270 into b, we have:
a - b = 30
a - 270 = 30
Add 270 to both sides
a = 300
There needs to be 300 liters of Drink A and 270 liters of Drink B
The system of linear equations which could be used to find the amount in litres of drinks A and B are :
(0.2a + 0.15b) = 100.5a - b = 30Let :
Amount of drink A = a
Amount of drink B = b
Percentage of real fruit juice for drink A = 20%
Percentage of real fruit juice for drink B = 15%
Total litres made = 100.5
(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres
(0.2a + 0.15b) = 100.5 - - - - - (1)The difference between the amount of drink A and B made :
Drink A is 30 liters more than B :
a - b = 30 - - - - - (2)The system of equations required to determine the amount of drink A and B made are :
(0.2a + 0.15b) = 100.5a - b = 30Learn more : https://brainly.com/question/20379472?referrer=searchResults
Question 4 HELPPPPPPPPPPPPP
The opposite of 4 is -4 :/
Answer:
-4
Step-by-step explanation:
correct have a nice day
3[ 2(10-5) +5(6-5) ] =
The answer is 45 (explained down at the image).
Answer:
45
Step-by-step explanation:
What you wanna do is just simplify the equation as much as possible:
First, the inner parenthesis:
2(10-5)=20-10=10
5(6-5)=30-25=5
And then we have:
3(10+5)=
Just simplify! :)
30+15=45
45
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