Answers
Answer:
b) 272/p
Step-by-step explanation:
1/4(px-16)=64
1. multiply 4 on both side to cancel out 1/4
(px-16)=256
2. move -16 to the otherside (making it postive)
px=16+256
px=272
3. divide by p on both sides
x=272/p
Related Questions
Can someone tell me how to solve -3x-4y=-2 and y=2x-5 in elimination form!!!!!
Answers
-3x-8x+20=-2
-11x=-2-20
-11x=-22/-11
-11x/-11=-22/-11
x=2
Will give brainliest
Answers
Answer:
AC = 4.7 feet
Step-by-step explanation:
cos 20° = x
5
5 · cos 20° = x
4.7 = x
PLEESSSE HELP ASAP !!!! WILLL GET BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
B/ y - 4 = 4/3(x - 6)
Katy inherited a savings account that was started by her grandfather 20 years ago. His investment can be modeled by the function
A(t) = 10,000(1.012)^t+ 20, where A(t) represents the value of the account, in dollars, t years after the inheritance. Which function is
equivalent to A(t)?
A)
A(t) = 10,000(1.012)^20
B)
A(t) = 10,000[(1.012)^t]^20
C)
A(t) = 10,000(1.012)^t (1.012)^20
D)
A(t) = 10,000[(1.012)^t + (1.012)^20]
Answers
PLEASE HELP!!!!!!!!!!!! VOLUME OF A CONE!!!!!!
Answers
Hi! Your answer is 125/3 π
Please see an explanation for a clear understanding to the problem.
Any questions about the answer/explanation can be asked through comments! :)
Step-by-step explanation:
For this problem, I'll be demonstrating two methods to solve your problem which are Integration method and Formula method. Let's start with Formula method first!
Formula Method
Volume of Cone Formula
[tex]V=\huge{\frac{1}{3}\pi r^2h}[/tex]
r is a radius. Therefore, r² is a diameter.
h is height of cone.
Our r is 5. Therefore, 5² = 25.
Our h is 5.
Substitute these values in the equation.
[tex]V=\huge{\frac{1}{3}\pi (5)^2(5)}\\V=\huge{\frac{1}{3}\pi (25)(5)} \\V=\huge{\frac{1}{3}\pi (125)}\\V=\huge{\frac{125}{3}\pi}[/tex]
Hence, the volume of a cone is 125/3 pi. If you want in Mixed Number form then It'd be 41 and 2/3 pi [ 41 2/3 pi]
Integration Method - Proof
Let r':r = x:h
Therefore,
[tex]\huge{\frac{r'}{r}=\frac{x}{h}}\\\huge{r'=\frac{x}{h}r[/tex]
r and h both are same (r is still radius while h is still height)
[tex]\huge{S(x)=\pi(r')^2[/tex]
The reason why we add pi because the surface is a circle. If the surface is not a circle, we don't add pi.
[tex]\huge{S(x)=\pi(\frac{x}{h}r)^2}\\\huge{S(x)=\pi(\frac{x^2r^2}{h^2})}\\\huge{S(x)=\frac{\pi r^2}{h^2}x^2}\\[/tex]
The range starts from 0 ≤ x ≤ h
[tex]\huge{V=\int\limits^h_0 {S(x)} \, dx[/tex]
Substitute S(x) in.
[tex]\huge{V=\int\limits^h_0 {\frac{\pi r^2}{h^2}x^2 } \, dx[/tex]
Integrate, separate everything in the integrand out except for x^2
[tex]\huge{V=\frac{\pi r^2}{h^2} \int\limits^h_0 {x^2} \, dx}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}x^3]^h__0}}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}h^3]}\\\huge{V=\pi r^2[\frac{1}{3}h]}\\\huge{V=\frac{1}{3}\pi r^2h}[/tex]
As you notice, Integration method is pretty useful, but it's mostly for an advanced volume lesson only.
Integration Method - Problem Solving
Let r':r = x:h
r is given as 5
h is given as 5 as well.
Therefore, r':5 = x:5
[tex]\huge{\frac{r'}{5}=\frac{x}{5}}\\\huge{r'=\frac{x}{5}(5)}\\r'=x[/tex]
[tex]\huge{S(x)=\pi(r')^2}\\\huge{S(x)=\pi(x^2)}\\\huge{S(x)=\pi x^2}[/tex]
The range of volume starts from surface to height. Therefore the range is 0 ≤ x ≤ 5
[tex]\huge{V=\int\limits^5_0 {S(x)} \, dx }\\\huge{V=\int\limits^5_0 {\pi x^2} \, dx }\\\huge{V=\pi\int\limits^5_0 {x^2} \, dx }\\\huge{V=\pi[\frac{1}{3}x^3]^5__0}}\\\huge{V=\pi[(\frac{1}{3}(5)^3-\frac{1}{3}(0)^3]}\\\huge{V=\pi[(\frac{1}{3}(125)-0)]}\\ \huge{V=\pi[(\frac{1}{3}(125)]}\\\huge{V=\pi(\frac{125}{3})}\\\huge{V=\frac{125}{3}\pi}[/tex]
Notice that both methods have same answer. Hence, we can conclude that the volume of a cone is 125/3 pi units²
Solve the inequality 2x + 9 > 19 - 8x
Answers
x> 1
i hope it helps you ❤️❤️❤️
Please help. Cesium-137 has a half-life of 30 years. Identify the amount of cesium-137 left from 150 milligram sample after 120 years.
1.325 mg
0.9375 mg
9.3750 mg
1.097 mg
Answers
Answer:
1.325 mg
have a good day :)
Answer:
9.3750 mg
Step-by-step explanation:
negitive 17plus n over 5 =33 what is n
Answers
Answer:
250
Step-by-step explanation:
-17+n/5=33
n/5=33-(-17)
n/5=33+17
n/5=50
n=50*5
n=250
n=182
Step by Step Explanation:
The equation we would start out with is:
[tex] \frac{ - 17 + n}{5} = 33[/tex]
From here, we need to multiply both sides by 5. This would create an equation of -17+n=165, as we canceled out the 5.
Then, you need to add 17 to both sides to isolate the variable. This would make the equation n=182, our final answer.
I need answers I’ll cash app 10 dollars
Answers
1. 0 > 3x - 3 - 6
0 > 3x -9
9 > 3x
3 > x
It would be a closed circle starting from 3 going to the right.
2. 4x + 1 - 1 >/ -8
4x >/ -8
x >/ -2
It would be an open circle starting from -2 going to the right.
3. -1 </ 2n + 4 - 5
-1 </ 2n -1
0 </ 2n
Undefined.
4. -6 > 5n + 5 + 4
-6 > 5n + 9
-15 > 5n
-3 > n
It would be a closed circle going to the right
What is the radius of this circle?
Answers
The radius of the circle is 3
DESPERATELY NEED HELP I WILL GIVE BRIANLYNESTTT
Answers
Answer:
7
Step-by-step explanation:
its 7
Answer:
slope Formula = y^2-y^1/x^2+x^1
Step-by-step explanation:
now,
[tex]10 - 3 \div 6 - 5 [/tex]
[tex]7 \div 1[/tex]
[tex] = 7[/tex]
solve for x and y pls
Answers
X= 45
Since x is 45 the other angle on the other side is 45
Every triangle equals 180 so you take 45+45 to get 90 and subtract that from 180 and get 90
Y= 90
hope this helped ask questions
Which of the following situations can be represented by
C = 10 + 0.44n?
Your answer:
A. The total cost at the grocery store for a cake that cost $10 and n bananas that cost $0.44 each.
B. The total cost of 10 soft drinks that cost $0.44 each.
C. The height of a plant after n days that was 10 centimeters tall and it grew 4.4 milimeters a day.
D. Not here
Answers
Answer:
A and C
Step-by-step explanation:
While in Manchester, England, Jaslene bought a sweater for £28(GBP). When she returned,
she saw the same sweater for $38CAD. Which sweater cost more? By how much in Canadian
dollars?
Answers
Answer:
The Manchester, England sweater is more expensive.
27 GBP is equal to 49.52 CAD, which is more than the 38 CAD from the afterwards.
Step-by-step explanation:
Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
Answers
Answer:
Step-by-step explanation:
1. Area of the composite figure = Area of the sector + Area of rectangle
Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]
From the figure,
θ = 30, and r = 65
Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65
= 1 1065.55[tex]m^{2}[/tex]
Area of rectangle = length x width
= 65 x 4
= 260 [tex]m^{2}[/tex]
Area of the composite figure = 1 1065.55 + 260
= 11325.55
Area of the composite figure is 11326 [tex]m^{2}[/tex].
2.
Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².
What is a sector of a circle?A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.
The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
[tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]
Thus, the area of the sector of the circle is 7.9194 m².
The area of the reactangle whose length is 5.5 inches while the width is 4 m.
[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]
[tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]
Thus, the area of the rectangle is 22 m².
Now, the total area of the composite figure can be written as,
Area of the composite figure = Area of the sector of circle+Area of rectangle
Area of the composite figure = 7.9194 +22 = 29.9194 m²
Hence, the area of the composite figure is 29.9194 m².
Learn more about Sector of Circle:
https://brainly.com/question/3432053
Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long.
How many meters of rope does Aiku have in all?
0.0412 m
0.412 m
4.12 m
41.2 m
Answers
Answer:
the 3rd one.
Step-by-step explanation:
Option D is correct, Aiku has a total of 4.12 meters of rope in all.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.
The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).
The length of the second rope is 367 centimeters, which is equal to 3.67 meters.
Adding these two lengths together, we get:
0.45 meters + 3.67 meters = 4.12 meters
Therefore, Aiku has a total of 4.12 meters of rope in all.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
please help i have to turn in in 8 mins....thanks :)
Answers
6√3
Step-by-step explanation:
6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3
Answer:
6√3
Step-by-step explanation:
using the pythagorean theorem you can plug in the numbers to get √(12^2 - 6^2) = √(144-36) = √108 = 6√3.
PLEASE HELP ME SOLVE THIS PROBLEM ASAP
Answers
Answer:
r = 1
Step-by-step explanation:
Breanna currently has a 75 on her homework assignments. Her teacher will
give her 5 additional points for every extra credit assignment she
completes
Answers
The y-intercept is where you start (75 for her grade) and the slope is what’s added or subtracted, meaning the change (5 additional points)
What is the value of x in the diagram?
(x + 45)
(x + 105)
Answers
if the addition if (X+45)° and (X+105)° equal 180°
due to they are a co- interior angles.
then X+45+X+105 = 180°
2X+150 = 180°
2X = 30
X = 15°
PLSSS HELP MEE SHOW UR WORK!!
Answers
Answer:
(-3, 13)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -4x + 1
11y = x + 146
Step 2: Solve for x
Substitution
Substitute in y: 11(-4x + 1) = x + 146Distribute 11: -44x + 11 = x + 146[Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146[Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x[Division Property of Equality] Divide 45 on both sides: -3 = xRewrite/Rearrange: x = -3Step 3: Solve for y
Define original equation: y = -4x + 1Substitute in x: y = -4(-3) + 1Multiply: y = 12 + 1Add: y = 13The radius of a circle is 5 units what's the diameter of a circle?
Answers
Answer:
10
Step-by-step explanation:
The radius is half of the diameter, so 5 * 2 = 10
Answer:
diameter=2×radius=2×5=10units
Which of the following represents the area of the shaded region in the figure above?
∫dcf(y)dy
the integral from c to d of f y d y
A
∫ba(d−f(x))dx
the integral from A to b of open paren d minus f of x close paren, dx
B
f′(b)−f′(a)
f prime times b minus f prime times A
C
(b−a)[f(b)−f(a)]
open paren b minus A close paren times open bracket f of b minus f of A close bracket
D
(d−c)[f(b)−f(a)]
Answers
It's B isn't it? If this is the question I'm thinking of. No image here so I'm just guessing.
How much money will Adriano’s online business earn this month
Answers
Could anyone mind helping I have until 9
Answers
Max or Min: Min
Axis of symmetry would go through 1 on the X-axis.
Number of zeros: 2
Roots: (-2,0) and (4,0)
Domain: All real numbers
Range: Y is greater than or equal to -8
Today only, a table is being sold at a 32% discount. The sale price is $357.
What was the price yesterday?
Answers
Answer:
Step-by-step explanation:
(1-0.32)p=357
0.68p=357
p=$525
Answer:
471.24
Step-by-step explanation:
First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!
can someone pls help it’s rate of change and i only need to do all of the evens. it’s due in an hour
Answers
Answer: I wasn't sure if number 18 was 350.00 but that's what I put down to do the problem hope I'm not too late.
9. $72.45
10. $15.52
11. $30.69
12. $48.95
13. $6.39
14. $67.6
15. $18.02
16. $51.6
17. $11.25
18. $175.00
19. $3.20
20. $10.00
21. $31.25
22. $45.90
Step-by-step explanation:
Maria is 12 years older than Jose. In 9 years Maria will be twice as old as Jose.
How old are they now?
Answers
Maria is 21
Jose 9
If Maria was 12 and Jose wasn’t born yet look at their ages in nine years.
Hope this helped.
Answer
This question has multiple answers to narrow it down to one we need to know how old is Maria.
Step-by-step explanation:
In triangle XYZ, the measure of angle YXZ is 14.5*, and the measure of angle XYZ is 75. What is the measure of
angle XZY in degrees? (6.8A)
Answers
At the end of the year, cars made in the current year are marked down to make room for
next year's models. One particular model had a sticker price of $45,160 when it was new. It
has just been marked down by 5%. What is the sale price of the vehicle?
Answers
Answer:
The sale price of the vehicle is $36885
Step-by-step explanation:
One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be
25/100 × 49180 = 0.25 × 49180 = $12295.
The sale price of the vehicle would be
49180 - 12295 = $36885