The value of a in terms of b is given as [tex]a = 8b^3[/tex]
Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]
We are to solve the equation for the variable "a"
Given;
[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]
Cross multiply
[tex]2b=\sqrt[3]{a-1}[/tex]
Cube both sides of the equation:
[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]
Add 1 to both sides of the equation:
[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]
Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]
Learn more on subject of formula here: https://brainly.com/question/657646
Which is further 104km or 70 miles ?
Answer:
104 km is further than 70 miles.
Step-by-step explanation:
Using the conversion table, we can tell that 1 km = 0.62 miles. Now, let's see which is bigger.
=> 104 km ☐ 0.62 miles=> 0.62 x 104 ☐ 0.62 x 70 => 104 ☐ 70 => 104 > 70Conclusion:
We can clearly see that 104 km is further than 70 miles.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
There is 46% hard working Elfs in the North Pole. there is 300 elfs in north pole. How many elfs are hard working
Answer:
138 hard working elfs
Step-by-step explanation:
the 46% of 300 is 138
Answer:
There is 138 Hard working Elves at the North Pole.
Step-by-step explanation:
300× 0.46= 138
The computer monitor to the right has a length of 44 inches and
a width of 38 inches. Find the length of the diagonal. Round your
answer to the nearest hundredth.
Answer:
58.14 inches
Step-by-step explanation:
Pitagoras:
Diagonal² = length² + width²
Diagonal² = 44² + 38²
Diagonal² = 1936 + 1444
Diagonal² = 3380
√Diagonal² = √3380
Diagonal = 58.137 = 58.14inches
5+2x=2x+6
do anyone know the answer
Answer:
no solutions
Step-by-step explanation:
5+2x = 2x+6
Subtract 2x from each side
5+2x-2x = 2x+6-2x
5 = 6
This is not a true statement so there are no solutions
Can someone help me with these equation
Answer:
6
Step-by-step explanation:
i think this is correct answer
Kinsey adds -1 7/8 and it's opposite
Answer:
0
Step-by-step explanation:
the opposite is 1 -7/8 when you add them together they cancel out to zero
so easy read whats on the image
The answer is: J - 3.08 pounds
Option I ) 3.08 pounds
The reason being that it can't round up with the 2 so we just have that number to the hundredth
How about: 37×13×78. Simplify this, if you please.
Answer:
37518
Step-by-step explanation:
Clear your calculator. Enter 37, followed by ×, and then 13, followed by ×, and then 78 and the ENTER key. Result: 37518.
800 students were surveyed to find out their favorite subject. 35% chose Math. How many students chose Math?
Answer:
35% of 800 = 280
...........
Casey's grandmother sent her an $80 bookstore gift card for her birthday last year. This year, she sent her a $110 bookstore gift card. Which proportion can be used to find the percent of last year's gift that this year's gift is, if n represents the unknown percent?
A 100/110 = 80/n
B 80/110 = n/100
C 110/80 = n/100
D 101/100 = 80/n
finding the distance along a diagonal with the distance formula requires you evaluate a square root. true or false ?
Answer:
true
Step-by-step explanation:
Pythagoras is simply c² = a² + b².
so, it does not matter which side of the triangle we need, we will always have to solve a square root for the final result.
PLEASE HELP TENTH GRADE GEOMETRY
Answer:
answer is 19............
At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?
Answer:
24
Step-by-step explanation:
$2 divided by 4 equals 50 cents
50 cents per copy
$12 will get you 24 copies
Answer:
24 copies
Step-by-step explanation:
$2 ----- 4 copies
$1 ----- 4 ÷2= 2 copies
$12 ----- 2(12)= 24 copies
Alternatively, we can present our working this way:
For every $2, 4 copies can be made.
Number of sets of $2 in $12
= $12 ÷$2
= 6
Since there are 6 sets of $2 and each set of $2 can make 4 copies,
number of copies
= 6(4)
= 24 copies
What is 2/3 of 9/12?
Answer:
0.5 in fraction form its 1/2.
Step-by-step explanation: hope this helps you <3.
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
W= 2
Step-by-step explanation:
Why were people concerned with the East India Tea's Company monopoly over the
tea industry?
Answer:
You accedently put Mathematics I think you meant Social Studies haha
Step-by-step explanation:
How much does the state spend in tax dollars altogether?
a. 20 million dollars
b. 12 million dollars
c. 24 million dollars
d. 48 million dollars
Answer:
24 mill
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
please help me with this as soon as possible
Answer:
the answer is i dont know XD
Step-by-step explanation:
The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard deviation of 1.2 hours. Assuming the distribution of study
imes is normal, what percent of students spend more than 25 hours per week on homework?
Round
your answer to the nearest hundredth.
Answer:
21.1%
Step-by-step explanation:
(25 - 24.3) / 1.2 = 0.5833 z score = 78.9%
You need the percent that spend more than 25 hrs per week, so 100 - 78.9 = 21.1%
please help asap
ty :)
Answer:
y = 3x + 6
Step-by-step explanation:
Since the line is parallel, it has the same slope -- 3
y = 3x + b, sub point (1, 9)
9 = 3(1) + b
9 = 3 + b
b = 9 - 3
b = 6
y = 3x + b -- y = 3x + 6
Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109
Iqbal and Sachin have bookshelves of the same size and holding books of the same sizes. Iqbal's shelf is 7/8 full and Sachin's shelf is 12/15 full. If 351 more books of the same size are distributed among them, then they can fill their shelves completely. How many books does Sachin have now?
a)
864
b)
865
c)
800
d)
850
Answer:
540 books
Step-by-step explanation:
It is given that Iqbal's shelf is 7/8 full ..
→ That Means we can say that, iqbal's shelf is (1 - 7/8) = 1/8 is Empty .....
Similarly,
Sachin's shelf is 12/15 full.
→ That Means we can say that, sachin's shelf is (1 - 12/15) = 3/15 is Empty.....
→ Both total Empty = (1/8 + 3/15)
Taking LCM of denominator ,
→ (15+24 /120)
→ 39/120
→ 13/40 part is Empty in both .
Now, it has been said that, when 351 more books are distributed among them , both shelves filled completely .
So, we can say that :----
→ 13/40 part ---------------- 351
→ 1 part ---------------------- 351*40/13 = 1080 = Total Books in Both Selves .
__________________
Now, since bookshelves of the same size and holding books of the same sizes ,,
→ Both have Books in Each = 1080/2 = 540 books .
A sporting event held at a high school had 135
attendees. The event earned a total of $930.
Admission to the event was $10 for adults and
$4 for students. How many adults (a) and how
many students (s) attended?
a + s = 135
10a + 4s = $930
[?] adults [ ] students
Answer:
65 adults and 70 students
The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
What is elimination method?In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
A sporting event held at a high school had 135 attendees.
In which adults and students are there .
Let adults be a
and students be s
Therefore,
The equation is
a + s = 135 ---------------------------(1)
Now,
The event earned a total of $930.
Admission to the event was $10 for adults and $4 for students.
i,e
10a + 4s = 930 ---------------------------(2)
Now , Using elimination method to solve both equations
a + s = 135 ---------------------------(1)
10a + 4s = $930 -------------------(2)
Step1: Multiplying equation 1 by 10
i,e
10a + 10s = 1350 -------------------(3)
Step2: Subtract equation (2) from (3)
10a + 10s = 1350 -------------------(3)
-10a - 4s = -930 -------------------(2)
6s = 420
s = 70
Now , Substituting the value of s in equation (1)
a + s = 135 ---------------------------(1)
a + 70 = 135
a = 65
Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
To know more about elimination method here:
https://brainly.com/question/12090959
#SPJ2
Krista's snow fort has an area of 6228 sq inches if it is 72 in long what is the width
Answer:
86.5 inches
Step-by-step explanation:
6228 / 72 = 86.5
Question Is In The Picture
Answer:
30
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2 = c^2
this theorem only works on triangles with an angle of 90 degrees or a right triangle.
18^2 + 24^2 = 900
the square root of 900 is 30
I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24
Answer is 30
Make x the subject of the formula: y=x^{2} + 5
First, multiply both sides by (x - 5), so you end up with:
(x-5)y = x + 2
Which can be expanded to give you:
xy - 5y = x + 2
Now add 5y to both sides to obtain:
xy = x + 2 + 5y
Now subtract x from both sides:
xy - x = 2 + 5y
Factorise x out:
x(y - 1) = 2 + 5y
Divide both sides by (y - 1):
x = 2 + 5y/y - 1There you go, x is now the subject.
I really really really need help with this
Answer:
404
Step-by-step explanation:
Simplify = 8 + 30 x 13 + 6
Left to right = 8 + 390 + 6
Result = 404
Leave a brainliest if this helped.
Answer:
404
Step-by-step explanation:
do the equation inside the brackets first (BIDMAS) - 5 x 6 = 30
48 / 6 = 8
8 + (30 x 13) + 6 = 38
30 x 13 = 390
8 + 390 + 6 = 404
FINAL PART OF MY HW!!! PART 6!!! IT IS STILL UNIT RATE!!!!!
Answer: Answer is on first screenshot
Step-by-step explanation:
A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an equation that shows the relationship between the elevation of the feather, y, and the number of seconds it has been falling, x
The question is an illustration of a linear function, and the equation that represents the function is [tex]y =-2x +10[/tex]
A linear function is represents as: y = mx + c, where:
m represents the slope or rate c represents the y-interceptIn this case, we have:
[tex]m = -2[/tex][tex]c = 10[/tex]So, the equation becomes
[tex]y =-2x +10[/tex]
Hence, the equation of the function is [tex]y =-2x +10[/tex]
Read more about linear functions at:
https://brainly.com/question/14323743
Find the indicated side of the
triangle.
10
459
a
b = [?]
Answer:
b=a
Step-by-step explanation:
Pythagorean Theorem:
b = 10/√2