Other answer formats are possible.
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Explanation:
Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.
What we'd do is two things
Subtract 54 from both sides Divide by 10So the steps look like this
h = 54 + 10a
h-54 = 10a
(h-54)/10 = a
a = (h-54)/10
Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.
That means the equation h = 54+ca solves to a = (h-54)/c
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Why did I do those examples? To build up to the equation your teacher gave you.
Let's replace c with 0.5t^2
This is because 1/2 = 0.5
The 1/2at^2 is the same as (1/2t^2)a
So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)
As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.
Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)
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Here's another way to solve:
h = 54 + (1/2)at^2
h-54 = (1/2)at^2
2(h-54) = at^2
2h-108 = at^2
(2h-108)/(t^2) = a
a = (2h-108)/(t^2)
In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.
how dose the maping diagram of a function differ from a mapping diagram of a function
Answer:
A function assigns only output to each input. A mapping diagram can be used to represent a relationship between input values and output values. ... A mapping diagram represents a function if each input value is paired with only one output value.
Josie has $147 left on her checking account she writes a check for $56 and then gets paid $225 what is the balance in her checking account now?
Answer:
A
digit to ghzhzjujzj hazing
Step-by-step explanation:
Joslin uphill to
Gun giddy
Pllllzzzz heeeelllppp
Answer:
a. circumference
b. area
c. area
d. circumference
Step-by-step explanation:
a. You are using the circumference formula to find the distance around a CIRCULAR track, if you used area, that would include the space in between the track as well. You are only trying to find the track line. ( you can draw a picture of a track and show what you are finding. )
b. You are trying to find the amount of area that the tiles make up in the circular floor, how much of the floor the tiles take up.
c. You are trying to find how much of the oil takes up of the WHOLE bottom of the frying pan.
d. Finding the circumference of your wheel can help determine the distance the car traveled. If you used area, it would not be useful.
The sum of two-fifths of y and one-sixth of h, minus 2
hi <3
i'm assuming you want the expression written out
it would be:
(2/5y + 1/6h) - 2
hope this helps :)
three candidates sat for mathematics examination and their probabilities of passing are 4/5,3/5 and 2/5.find the probability that at least one passed?
hksjhuja kanhshke kkajbevbeks jjsbbwne k
Find the value of ab when a =
9/11
and b =
7/10
The answer is
(Simplify your answer.)
a= 9/11 and b=7/10
now,
ab = (9/11)×(7/10)
=63/110.......
the value of ab is 63/110 when a = 9/11 and b = 7/10
What is Simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given, the values of a and b are 9/11 and 7/10 respectively
thus,
ab = 9/11 * 7/10
simplifying it
ab = 63/110
Therefore, the value of ab is 63/110 when a = 9/11 and b = 7/10
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Use the properties of exponents to simplify the expression (16a 12).
O A) 28
B)
640 18
C)
1
24a13
OD) 64218
Answer:
D
Step-by-step explanation:
The solution is in the attached file
Ryan has 21 pencils. He wants to put the same number of pencils in each of 3 pencil holders. How many pencils will he put in each pencil holder
21 divided by 3 equals 7
7 pencils in each holder
:]
Ryan will put 7 pencils in each pencil holder.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in "m" in different ways and if following it, a second event can occur in "n" ways; then the two events in succession can occur in m × n ways.
Given that Ryan has 21 pencils, wants to put the same number of pencils in each of the 3 pencil holders.
Pencil = 21
Pencil holder = 3
Therefore, we will do as 21 divided by 3
21/3 = 7
Hence, there are 7 pencils in each pencil holder.
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plzzzz I need help
Name the geometric term(s) modeled by each object. 16. 17. 18. 19. a tablecloth 20. a partially-opened newspaper 22. a knot in a string 21. woven threads in a piece of cloth Draw and label a figure for each relationship. 23. Line AB intersects plane Q at W. 24. Point T lies on WR. 25. Points Z(4,2), R(-4, 2), and S are collinear, but points Q, Z, R, and S are not. 26. The coordinates for points C and R are (-1, 4) and (6,4), respectively. RS and CD intersect at P(3,2). Lesson 1-1 Points, Lines, and Planes 9
Geometric terms are terms used for describing geometric objects
The correct responses for the geometric term modeled by each object are as follows:
16. The geometric term modelled by the tip of the needle is a point
17. The figure modelled by he rail track are lines including; Parallel lines and intersecting lines
18. The figure modelled by the cloth is a plane with points
19. A table cloth models a plane
20. A partially opened newspaper models an angle, and two planes intersecting
21. Woven threads in a piece of cloth models intersecting lines
22.A knot in a string models a point on a line
Required:
To draw and model a figure for each relationship
Solution:
23. The required drawing of the model of line AB intersecting at Q and W is attached
24. The required drawing of the model of point T that lies on [tex]\overset \longleftrightarrow {WR}[/tex] is attached
25. The required drawing of the model of point Z(4, 2), R(-4, 2), and collinear point S, with Q, Z, R, and S are not, is attached
26. The given coordinates are; C(-1, 4) and R(6, 4). The point P(3, 2) is the intersection of the lines [tex]\overset \longleftrightarrow {RS}[/tex] and [tex]\overset \longleftrightarrow {CD}[/tex]
The required drawing is attached
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In one state lottery game, you must select four digits. hOW MANY NUMBERS MAY BE CHOSEN
how do you write 9/11 as a decimal
Answer:
0.81
Step-by-step explanation:
Answer:
0.81818181818181....
Step-by-step explanation:
It is irrational
What factors of -52 have the sum of -9
Answer:
Step-by-step explanation:
13 and 4 in some combination.
The larger number must be minus.
The answer is - 13 + 4 which leaves you with - 9
round 56.3244 to the hundredths place
Answer:
56.32
Step-by-step explanation:
The hundredths place is the second place after the decimal point.
Side note:
All you need to do is if the hundredths is less than 5, you round down. If it's greater than or equal than 5, then you round up.
PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.
Step-by-step explanation:
7.3 when rounded to the nearest tenth
Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?
Answer:
9180
Step-by-step explanation:
9000*1.02
Answer:
There will be $8820 in Monico's account at the end of the one year period.
Step-by-step explanation:
9000*0.02 = 180
9000 - 180 = 8820
Have a nice day! :-)
Divide (long division)
(4n^4+4n^3+16n^2)+4^2
9514 1404 393
Answer:
n^2 +n +4
Step-by-step explanation:
Since the divisor has only one term, the quotient is formed by dividing the terms one at a time.
[tex]\dfrac{4n^4+4n^3+16n^2}{4n^2}=\dfrac{4n^4}{4n^2}+\dfrac{4n^3}{4n^2}+\dfrac{16n^2}{4n^2}=\boxed{n^2 +n +4}[/tex]
__
Your long division tableau will subtract n^2×4n^2 = 4n^4 to form the new dividend 4n^3+16n^2. Then you will subtract n×4n^2 = 4n^3 to get the new dividend of 16n^2. The final quotient term is 4, and you will subtract 4×4n^2 to get a remainder of 0. You will have written the quotient as n^2+n+4.
I need help getting the equation
Answer:
2.5v + 85
v = 12
Step-by-step explanation:
115 - 85 = 30
30 / 2.5 = 12 (He needs to go 12 times)
2^-5/-4^3
with work please
9514 1404 393
Answer:
-1/2048
Step-by-step explanation:
The Order of Operations tells you to evaluate each of the exponential expressions first. Then you do the division.
= (1/32) / (-64)
= -1/(32·64) = -1/2048
__
You can also rewrite the expression in terms of powers of 2.
2^-5/-4^3 = -1/((2^5)(2^2)^3) = -1/(2^5×2^6) = -1/2^11
= -1/2048
_____
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
4 = 2^2
2^5 = 32
4^3 = 64
solve the inequality 4x-18<_6x-16
Answer:
B is the answer
Step-by-step explanation:
4x - 18 <= 6x - 16
4x - 6x <= -16 + 18
-2x <= 2
-x <= 1
x >= -1
7X +6 equals 4X +9 what is the value of X
Answer:
the answer is 1.
Step-by-step explanation:
Try and plug in 1 as in x it would come out with equal to b0th sides
Answer:
x = 1
Step-by-step explanation:
7x + 6 = 4x + 9
3x = 3
x = 1
Annie borrowed $354 from her parents to buy a tablet. She plans to pay the money in 2 equal payments per month for the next 12 months. How much will each payment be?
Answer:
$354 divided by 12 equal payments equals $29.50 per month
Step-by-step explanation:
$354 divided by 12 months (also 12 equal payments) = $29.50 per month.
Find the equation for the circle with center (−4,−3) and diameter of length 14.
9514 1404 393
Answer:
(x +4)² +(y +3)² = 49
Step-by-step explanation:
The radius is half the diameter, so is 14/2 = 7.
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The equation of the circle with center (-4, -3) and radius 7 is ...
(x +4)² +(y +3)² = 49
The first aircraft has 111 more seats than the second aircraft. The third aircraft has 27 fewer seats than the second aircraft. If their total number of seats is 408, find
the number of seats for each aircraft.
The first aircraft has
seats. (Simplify your answer)
(Answer quickly)
The quantity of a number plus 4, divided by 9
If Shondra traveled the same number of miles each hour, how many miles did she travel in 4 hours?
210
240
300
360
Answer:
how many miles did she travel each hour? Then I can answer your question
Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.
(Answer quickly)
Answer:
B
Step-by-step explanation:
x = 4 is a vertical line parallel to the y- axis with an undefined slope
HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS
Solve 4x − 2(x + 1) = 3x + 10
a)x = −12
b)x = 12
c)x = −8
d)x = 8
Answer:
= −12
Step-by-step explanation:
Answer:a)-12
Step-by-step explanation:
4x-2(x+1)=3x+10
4x-2x-2=3x+10
2x-2=3x+10
Collect like terms
-2-10=3x-2x
-12=x(a)
Sharon ran 140 meters directly toward school at a constant velocity. She ran that distance in 25 seconds. What was her velocity?
Answer:
5.6 meters/secondsStep-by-step explanation:
140 : 25 = 5.6 meters/seconds
#AyoBelajardescribe impulse buying
Answer:
impulse bullying.
Step-by-step explanation:
Impulse bullying is like he is less likely to be a gang member. His bullying is more impulsive and may appear to be more random. Even when authorities are likely to impose penalties, he finds it impossible to prevent himself from engaging in the activity. He might be suffering from ADHD. Medication, behavioral therapy, and social skills training may help him. He will also most likely be bullied.
five friends are sharing 2.5 pizzas. how much pizza does each person get?(will give branlist)for 10 points
Answer:
2 slices
Step-by-step explanation:
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