Answer:
h = (3×V)/ (pi×r²)
Step-by-step explanation:
[tex]v = \frac{\pi {r}^{2} h}{3} [/tex]
[tex]3 \times v = \pi {r}^{2} h[/tex]
[tex]h = \frac{3v}{\pi {r}^{2} } [/tex]
5(x+3)=2x+3 what is x?
Answer:
-4
Step-by-step explanation:
5(x+3)=2x+3
5x+15=2x+3
5x-2x=3-15
3x=-12
3x/3=-12/3
x=-4
A bakery received a shipment of 703 peaches. If it takes 8 peaches to bake a peach pie, how
many peaches will the bakery have left over after baking as many pies as possible?
peaches
Answer:
87 whole peach pies
Step-by-step explanation:
.875 peaches left
Answer:
Step-by-step explanation:
Bacteria of species A and species B are kept in a single environment, where they are fed two nutrients. Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient. Each bacterium of species A requires 4 units of the first nutrient and 5 units of the second, and each bacterium of species B requires 1 unit of the first nutrient and 6 units of the second. What populations of each species can coexist in the environment so that all the nutrients are consumed each day?
Answer:
4570 species of the type A and 1540 species of the type B.
Step-by-step explanation:
A:
1st: 4 units
2nd: 5 units
B:
1st: 1 unit
2nd: 6 units
A=x, B=y
4x + 1y = 19820 units of the first nutrient
5x + 6y = 32090 units of the second nutrient
5x + 6*(19820-4x) = 32090.
32090 - 6(19820-4x)
x= ------------------------------------- = 4570
5-24
y = 19820 - 4*4570 = 19820 - 18280 = 1540.
ANSWER: 4570 species of the type A and 1540 species of the type B.
Hopes this solves it.
The populations of each species can coexist in the environment so that all the nutrients are consumed each day are 4530 and 10600
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given;
Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient
2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available
Now,
Let the number of bacteria of Specie A and Specie B be x and y respectively;
To find : Number of Bacteria 1 and Bacteria 2
Nutrient 1 Constraint Equation : 4x + y = 19660
Nutrient 2 Constraint Equation : 5x + 6y = 31890
Putting the value of y from 1st equation in 2nd equation;
5x + 6 (19660 - 4x) = 31890
5x + 117960 - 24x = 31890
117960 - 31890 = 19x
19x = 86070
x = 86070 / 19 = 4530 { Bacteria A}
Putting the value of x in 1st equation;
2 (4530) + y = 19660
9060 + y = 19660
y = 19660 - 9060= 10600{Bacteria B}
Therefore, the solution of equations will be 4530 and 10600
To learn more about simultaneous equations :
brainly.com/question/16763389
#SPJ2
Find the volume of this object.
Use 3 for a.
Volume of a Cone
V=Tr2h
3
Volume of a
Rectangular Prism
V = lwh
cm
5 cm
6 cm
1 cm
V[?]cm
3
12 cm
Answer:
11
Step-by-step explanation:
sjow
Use prime factor decomposition to find the Hcf of 99 and 165
Answer:
HCF = 33.
Step-by-step explanation:
99 = 3*3*11
165 = 3*5*11
3 and 11 are common so the HCF = 3*11
= 33.
ALGEBRA 1 MATH PLEASE HELP !!!!
Answer:
g(x) = |x-10|
Step-by-step explanation:
In majority of cases, the h in an equation is the movement to the left and right. and if you subtract h, you move to the right, if you add h, you move to the left. So in this case, to move ten units to the right, you would have h=10. Because there are no other changes made to the equation, the new equation, g(x), is simply:
g(x) = |x-10|
explain the answer with briefs steps
Step-by-step explanation:
steps are in picture above.
Note:if you need to ask any question please let me know.
Find the slope and y intercept
(Please show work)
Answer:
slope = - 6, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
0 = 2x - [tex]\frac{5}{3}[/tex] + [tex]\frac{1}{3}[/tex] y ( multiply through by 3 to clear the fractions )
0 = 6x - 5 + y ( subtract 6x - 5 from both sides )
- 6x + 5 = y , that is
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6 and y- intercept c = 5
This makes no sense, math, i need help because this is BS and i don’t get it. there must be something i am missing.
Answer:
You are correct! But note the syntax:
the computer wants you to type in the box
2/3 x - 2
because "y =" is already written!
Step-by-step explanation:
x=4/9u + 7
solve for u.
Answer:
Step-by-step explanation:There are two variables which are x and u so it doesn't seem possible to solve.Kindly re-write the question
-x2 – 3x + 3
Find f(7)
SOMEONE HELP ME PLEASE AND SHOW WORK
Hi! I'm happy to help!
To solve for WX, we have to find the length of the part of the line that isn't XY. Since we know the full length of the line, we subtract the length of XY from WY to get WX:
100-89.6
10.4
The length of WX is 10.4 centimeters.
I hope this was helpful, keep learning :D
Answer: WX = 10.4 cm
Concept:
Here, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
XY = 89.6 cm
WY = 100 cm
Given expression deducted from the segment addition postulate
WX = WY - XY
Substitute values into the expression
WX = 100 - 89.6
Simplify by subtraction
WX = [tex]\boxed{10.4cm}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Figure the amount of time worked in 4 weeks by 12 electrical wiring specialists who work 30 hours each week.
Answer:
1440
Step-by-step explanation:
Let's say x = number of hours worked per week for 12 people. Now one worker works 30 hours a week so if you multiply 12 workers by 30 you will get how many hours 12 workers worked. so x = 12 • 30. 12 • 30 is 360. so x = 360 or for 1 week 12 workers worked 360 hours. now we need to find the amount of hours for 4 weeks. so we can do 4x or 4 times the amount of hours per one week. since x = 360. 4 • 360 = 1440.
express: -25/60 as a rational number whose denominator is -12
Answer:
[tex]\frac{5}{-12}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{5}{-12}[/tex]
Step-by-step explanation:
Given
[tex]\frac{-25}{60}[/tex]
now 60 ÷ - 5 = - 12
Divide numerator and denominator by - 5
= [tex]\frac{5}{-12}[/tex]
Please no links because they dont work :).
Answer:
b
Step-by-step explanation:
Answer:
B. 439.
Step-by-step explanation:
7 * (6 + 2)^2 - 3^2
= 7 * 8^2 - 9
= 7 * 64 - 9
= 448 - 9
= 439.
Hope this helps!
A movie ticket costs $12 and it costs an additional p dollars to buy a small popcorn. The total cost for 3 people to go to the Movie theater and each buy a popcorn is $57. How much does it cost for one person to buy a popcorn?
NEED THIS ASAP PLEASE
What is the width of a rectangle with an area of 300 square feet and a length of L feet?
Solve for x 6(x-1)=9(x+2)
Answer:
-8
Step-by-step explanation:
6(x-1) = 9(x+2)
6x - 6 = 9x +18
-24 = 3x
-24/3 = x
x = -8
Hope this helps!!
Answer:
6(x-1)=9(x+2)
6x-6=9x+18
-18-6=9x-6x
-24=3x
-24/3=3x/3
-8=x
Differentiate
[tex] \frac{ {x}^{3} + 2x ^{2} }{x} [/tex]
with respect to their variable.
Answer:
2x + 2
Step-by-step explanation:
Given
[tex]\frac{x^3+2x^2}{x}[/tex] ( divide each term on the numerator by x )
= x² + 2x
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , then
[tex]\frac{d}{dx}[/tex] (x² + 2x ) = 2x + 2
Final one for the day
Answer:
x = -4
Step-by-step explanation:
2(x-8):
2(-4-8) = 2 (-12) = -24
x + 5x:
-4 + 5 (-4) = -4 + (-20) = -4 - 20 = -24
Since -24 = -24, x = -4 makes the equation true
FIRST PERSON WILL BE MARKED BRAINLIEST!!!
Answer:
Correct choice is option A. 6a + 8b ≤ 200
7a + 5b ≤ 150
---> cereal A with grams will be multiplied by the sodium available in one gram of cereal A
----> The solution from the above equation would then be added to the cereal B with grams as well as its sodium content per grams.
6a + 8b ≤ 200
---> Cereal A's grams × Cereal A's calories + Cereal B's grams × Cereal B's calories is ≤ 150
so, 7a + 5b ≤ 150
4y - 7 + 2y = -3 (y - 1 ) -1
Step-by-step explanation:
4y - 7 +2y = -3y + 3 - 1
4y -7 +2y' = -3y + 2
4y+2y+3y = 2+7
9 y = 9
y. = 1
Elijah drew a scale drawing of a swimming pool.
The scale of the drawing was
1 centimeter: 3 meters. The pool is 10
centimeters long in the drawing. How long is the
actual pool?
Answer:
30 meters
Step-by-step explanation:
when converting from scale to actual drawing:
find a way of removing the cm by
10cm × (3m/1cm)
look the cm cancels out
10×3m=30m
step by step
6x+1<9-2x
2x-1 less than or equal to 5x+20
3-(2x-7) less than or equal to 34-6x
Answer:
x < 1
x ≤ -7
x ≤ 6
Step-by-step explanation:
6x + 1 < 9 - 2x
Group Like terms
6x + 2x < 9 - 1
8x < 8
Divide through by 8
8x/8 < 8/8
X < 1
2x - 1 ≤ 5x + 20
Group like terms
2x - 5x ≤ 20 + 1
-3x ≤ 21
Divide through by -3
-3x/-3 ≤ 21/-3
x ≤ -7
3 - (2x - 7) ≤ 34 - 6x
Expand the bracket
3 - 2x + 7 ≤ 34 -6x
-2x + 10 ≤ 34 - 6x
Group like terms
-2x + 6x ≤ 34 - 10
4x ≤ 24
Divide Through by 4
4x/4 ≤ 24/4
x ≤ 6
Olivia orders 24 cupcakes and a layer cake. The layer cake costs $16, and the total cost of the order is $52. What is the cost of each cupcake?
Answer:
The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
First let us create an equation for this problem
(24 cupcakes)( $ of each cupcake) + ( $16 layer cake ) = $52
Let's say that C will represent the $ of each cupcake to make it easier
Solving it....
24C + 16 = 52
24C = 36
Divide both sides by 24
C = 1.5
Therefore, each cupcake cost $1.5
We can check to see if this works....
24(1.5) + 16 = total cost
36 + 16 = 52, so this is correct
Hope that helped! Best of luck <3
If m varies directly with t, and m = 4 when t = 12, what is the value of t when m= 12?
o
O 20
O 24
O 36
Answer:
4
Step-by-step explanation:
k=4÷12=1÷3
t=12×1÷3=4
the price of a discount airline ticket starts at $150 and increases $30 each week.write and algebraic expression that molds this situation?
Answer: 30x + 150
Step-by-step explanation:
Find the area of a triangle with legs that are: 6 mm, 4 mm, and 8 mm.
A. 16.4 mm
B. 11.6 mm
C. 14.5 mm?
D. 5.8 mm?
What is the greatest
common factor (GCF)
of 24 and 32?
Answer:
8
Step-by-step explanation:
please follow me
factors of 24 ={1,2,3,4,6,8,12,24}
factors of 32={1,2,4,8,16,32}
CF={2,4,8}
GCF={8}
Answer:
I belive that it is 8
Step-by-step explanation:
Did all the rectangles with an area of 24 units have the same perimeter? Give a reason for your
answer.
Answer:
so.. it cannot be same
Step-by-step explanation:
. the perimeters may be same but the area cannot.
We've been looking at two rectangles with the same area, and talking about the perimeter of those shapes. We found out that rectangles that have the same area don't necessarily have the same perimeter. owo