Answers
For literal equations you do not necessarily need a numerical answer. You just need to get the variable you are supposed to solve for on one side of the equation by itself. To do this you will follow the same steps you do when you normally solve for x (or any other variable)
#9-Step by step
Q=25[tex]\pi[/tex]h
divide 25[tex]\pi[/tex] on both sides of the equation
Q/25[tex]\pi[/tex]=h
h=Q/25[tex]\pi[/tex]
Since his can't be simplified any further this is your answer
#11. y=7m+6
First subtract 6 over to the other side
y-6=7m
then divide the 7 over
(y-6)/7=m
m=(y-6)/7
#13 A=(Z+7)3
Divide the three over to the other side of the equation
A/3=Z+7
Now the 7 is free to be subtracted from both sides
(A/3)-7=Z
#17. (2x/5)-9=6
First add 9 to both sides
2x/5=6+9
2x/5=15
Multiply both sides of the equation by 5
2x=5(15)
2x=75
Divide by 2
x=75/2
x=37.5
Related Questions
You might need:
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)2 – 16
lesser r =
greater x =
Answers
Answer:
lesser x: - 6
greater x: 2
Step-by-step explanation:
f(x) = (x + 2)² – 16
(x + 2)² – 16 = 0
(x + 2 + 4) (x + 2 - 4) = 0
(x + 6)(x - 2) = 0
roots (zero): x = -6 or x = 2
what is the square root of 31
Answers
Answer:
5.567764363 or rounded off to two decimal places 5.57
Step-by-step explanation:
Calculator
Here is a list of numbers:
4.6, 3.9, 6.8, 8.6, 3.5, 0.8, 8.5, 2.8, 2.6
State the mediant
Answers
Answer:
median is 3.9
Step-by-step explanation:
You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle
0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6
-324/18
Plz show all the steps of how you got the answer.
Answers
Answer:
-18
Step-by-step explanation:
Step 1 - divide the numerator and denominator by 18
-324÷18 / 18÷18
Step 2 - divide the numbers
-18 / 18÷18
-18/1
any expression divided by 1 remains the same
-18
Hi. I need help with this question (see image). Please show workings.
Answers
Answer:
[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³
Step-by-step explanation:
Differentiate using the chain rule
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
Here
f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³
g(x) = 2x + 3 ⇒ g'(x) = 2
Thus
[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2
= 8(2x + 3)³
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
4%
?
The sales tax is $
The total cost is $
Answers
Answer:
100 + 4 = 104%
40/100 X 104 = 41.6
total cost: $41.60
sales tax: $1.60
Answer:
Tax: $1.6
Total cost: $41.6
Step-by-step explanation:
40*0.04 = 1.6, 40 + 1.6 = 41.6
PLEASE HELP DUE IN 30 MINS!!!
Answers
Answer:
There ya go
Step-by-step explanation:
Answer:
15/2
Step-by-step explanation:
goodluck on the rest! (:
Solve the equation 0.3 3=n
n=_____
Answers
Identify the slope in the equation y=-7/3x +5 5 -5 7/3 -7/3
Answers
Answer:
-7/3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -7/3x + 5
Step 2: Break Function
Identify Parts
Slope m = -7/3
y-intercept b = 5
These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)
Answers
Answer:
do you have 12 as an answer?
What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the
function g(x)=(x-4)2+2?
O-4
O-2
O2
O4
Answers
Answer:
-4
Step-by-step explanation:
When we talk of the horizontal translation, we are dealing with a change in the x value
Initially we had x alone while we had x-4 in the second
What this mean is that there is a change of -4
Answer:
Step-by-step explanation:
i put -4 and wrong, pretty sure its 4
15 POINTS! Please solve: 3 - 2x = 13 + 3x
Answers
Answer:
x= -2
Step-by-step explanation:
hope this helped <3
-5x = 10 divide by -5
x= -2
Solve for n: 2n < 6
Math pls answer this
Answers
Answer:
n can be a number less than 3
Step-by-step explanation:
Hope this helps!
Answer:
N<3
Step-by-step explanation:
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answers
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answers
Answer:
1/6
Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answers
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ2
A piece of wire is 76cm long. It is cut into two unequal parts and each part is bent into a square. The sum of the areas of the two squares is 205cm². Find the length of the shorter part of the wire.
Answers
Answer:
The length of the shorter part of the wire is 24 centimeters.
Step-by-step explanation:
Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:
[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)
And we expand this polynomial below:
[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]
[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]
[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)
If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:
[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]
By the Quadratic Formula, we determine the roots associated with the polynomial:
[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]
The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.
which expression has a value of 50
Answers
Answer:
b
Step-by-step explanation:
(50 +10) / ( 5+5)
(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answers
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k
Please help me with the questions please
Answers
Answer:
50,373 feet
Step-by-step explanation:
tan 15° = 13500 / x
.268 = 13500 / x
x = 50,373
what is the answer to 5--4
Answers
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
What is the slope of the line
Answers
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
write the equivalent fraction by division 30 by 42
Answers
Answer:
5/7
Step-by-step explanation:
5/7 is the simplified fraction for 30/42 by using the GCD or HCF method
Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
Answers
make
x
the subject of the formula
p
+
x
=
t
Answers
Answer:
x = t - p
Step-by-step explanation:
p + x = t
subtract p from both sides.
x = t - p
4. Chrissy had 4 gallons of gas in her tank when she arrived at the
gas station. She pumped gas into her car at a rate of 0.3 gallon per
second. How many gallons of gas were in the tank after s seconds?
Answers
Lin and Elena have discovered they have so much in common. They each have a fish tank holding 20 units of water. Whose tank holds 20 gallons, and whose holds 20 cups?
Answers
Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.
Step-by-step explanation:
Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.
With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.
HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!
Answers
Answer:
Its XYW is half of LXYZ
Step-by-step explanation:
.
Answer:
this is the required solution
i don’t know how to do this and it’s due in an hour someone help please
Answers
Answer:
912 divided byt he square root of AB to 5^2
Step-by-step explanation:
Answer:
AB to 5^2
Step-by-step explanation:
Flattykawa -_-
Find the value of x in the triangle.
67 113
293
7
Answers
Answer:
x = 67°Step-by-step explanation:
The sum of measures of angles in triangle is allways 180°
So:
x + 53° + 60° = 180° {subtract 113° from both sides}
x = 67°