Answer: 12 and -4
Step-by-step explanation:
Assume the larger number is x and the smaller one is y.
In that case the relevant simultaneous equations are:
x + y = 8
2x + 4y = 8
Use substitution to find relative value of y:
x + y = 8
y = 8 - x
Use to solve equation:
2x + 4y = 8
2x + 4(8 - x) = 8
2x + 32 - 4x = 8
2x - 4x= 8 - 32
-2x = -24
x = -24 / -2
x = 12
y = 8 - x
= 8 - 12
= -4
In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.
Answer:
1. The ratio of their diameters is 8/5 = 8 : 5
2. The ratio of their surface area is (8/5)²
3. The ratio of their volume is (8/5)³
4.The area of the base of the larger cylinder is 128 cm²
Step-by-step explanation:
Given that the two cylinders are similar, we have;
Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii
Therefore, we have;
1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂
The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5
The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5
2. The surface area of the cylinders = 2·π·r·h + 2·π·r²
Therefore, we have;
(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)
h₁ = h₂ × 8/5
r₁ = r₂ × 8/5
= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²) = (8/5)²
The ratio of their surface area = (8/5)²
3. The volume of the cylinder = π·r²·h
∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³
The ratio of their volume = (8/5)³
4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²
Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)² = 128 cm²
how long would it take the snail to crawl 65 inches
a 60
b 6.5
c 6
d 65
Answer:
6 minutes is the most reasonable time to crawl 65 inches.
Even more trig ratios see attachment
Step-by-step explanation:
1. Use the Pythagorean theorem to solve for side KM:
16^2+KM^2=34^2256+KM^2=1156KM^2=900KM=302. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34
3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16
4. Sine is opposite over hypotenuse, so sine of M will be 16/34
5. KM=30, solved for in step 1.
hope this helps!!
what are angles? how do i solve them?
https://courses.lumenlearning.com/prealgebra/chapter/using-properties-of-angles-to-solve-problems/#:~:text=We%20measure%20angles%20in%20degrees,they%20are%20called%20supplementary%20angles.
Answer: do you mean how to find the degree?
Step-by-step explanation:
Count the number of sides in the polygon.
Find the total measure of all of the interior angles in the polygon
Divide the total measure of all of a regular polygon's angles by the number of its angles.
Subtract the sum of the known angles from the total measure of the angles for an irregular polygon.
it really depends
Solve for x
−3x ≤−18
Answer:
x ≥ 6
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 EqualityStep-by-step explanation:
Step 1: Define
-3x ≤ -18
Step 2: Solve for x
[Division Property of Equality] Divide -3 on both sides: x ≥ 6Which expression shows the result of applying the distributive property to 12(5y+4)?
60y + 4
5y + 48
17y + 16
60y + 48
Answer:
60y+48
Step-by-step explanation:
Coverage for injury and property damage sustained by others for which you or covered residents of your household are legally responsible is known as a(n) _____.
Answer:
Liability insurance
Step-by-step explanation:
Liability insurance provides protection against claims resulting from injuries and damage to people and/or property. Liability insurance covers legal costs and payouts for which the insured party would be found liable. Provisions not covered include Intentional damage, contractual liabilities, and criminal prosecution.
Calculator
1.) There are 200 total students in the 7th grade. 84 students
participate in only athletics. 56 students only participate in a music
class. The remaining students do not participate in music or athletics.
Find the percentage of each category. Round to the nearest whole
percent.
Athletics:
% Music:
% Neither:
%
Music 28%
Athletics 42%
Neither 30%
Someone answered this question with a link that didn't work so i need help
Answer:
y=0.875x + 6
Step-by-step explanation:
Answer:
Y= 7/8X+6
Step-by-step explanation:
Good luck bro .
PLEASE HELP
Write the equation that models the linear relationship.
The equation ____ models the linear relationship
(Use integers or tractions for any numbers in the
equation)
Write the unit rate per video game. $78 for 4 video games. $ for video game. 100 points question better not be wrong or else
Answer:
78:4
Step-by-step explanation:
What is the factored form of x^2+4x-12=0
Answer:
if this is what you looking for
= 2
x = − 6
6Step-by-step explanation:
Calculate the distance the train will travel in 3/4 hour.
Answer:
what is the speed of the train? if that is miles per hour just figure out what 75% is of that number
Step-by-step explanation:
» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m
Answer:
m = 60/6
60 = 6 x m
Step-by-step explanation:
Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars.
What is the mean absolute deviation of the number of cars?
Round to the nearest tenth, if needed.
A. 0.7
B. 1.1
C.1.4
D. 2
Answer: Its A 0.7
Step-by-step explanation:
Answer:
The answer is A. 0.7
Step-by-step explanation:
I took the test
Please help me with this
Answer:
i cant see it...
Step-by-step explanation:
...
help anyone giving 5 stars
Write an equation of the line in slope-intercept form. (0,2)(3,3)
Answer:
Slope = 1/3
Step-by-step explanation:
Hope this helps.
15 POINTS!!!!!
Choose the postulate used to prove the triangles are congruent. If they are not congruent, choose "Not Congruent"
A. SAS
B. AAS
C. ASA
D. SSA
E. Not Congruent
Answer:
A. SAS
the triangle is congruent by side angle and side
2 EASY QUESTIONS HELP
Answer:
a. 3 5/6
b. 5 1/7
Step-by-step explanation:
Answer:
5.83333333333
5.14285714286
Step-by-step explanation:
please help me i need it fast
Answer:
20x^3/4x7
20/4x^4
5/x^4
Step-by-step explanation:
6. A leather bag is bought for Rs 18000 and sold with 15% loss. Find the selling price of the bag.
plz help
0.85=1-0.15
=18000×0.85
15300 answer
Answer:
Rs 15,300
Step-by-step explanation:
15% of 18,000 is 2700. 18,000-2700=15,300
Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of 8?
Answer:
22/25
Step-by-step explanation:
Multiples of 8 betwen 1 - 50 =
8
16
24
32
40
48
there are 6 multiples of 8
Numbers that are not multiples of 8 = 50 - 6 = 44
Probability the operator will choose a unit that is not a multiple of 8 = 44/50
Expressing in simpler terms = 22/25
PLEASE HELP Determine W and X in Circle M
your answer will be
w=16°
X=148°
Step-by-step explanation:
hope it helps you
have a great day!!
Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?
Answer:
7
Step-by-step explanation:
If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.
prove that 15-7 root 3 is irrational
Answer:
Step-by-step explanation:
[tex]\text{Did you mean}\\ \\ \sqrt[3]{15-7}\\ \\ \sqrt[3]{8}=2\text{ which IS a rational number}[/tex]
Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?
Answer:
Difference in total payback = $5734.64
Step-by-step explanation:
Formula for the simple interest payout,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
P = Principal amount of loan
r = rate of interest (Annually)
t = Duration for the payment
Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]
= $13050
Total payable amount = 18000 + 13050
= $31050
Formula for the amount payable with compound interest,
Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]
Here, t = Duration of investment
r = rate of interest (Annual)
n = Number of compounding per year
Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]
= 18000(1.089)⁴
= $25315.36
Difference in total payback = $31050 - $25315.36
= $5734.64
If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.
Simplify the expression
Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
Answer:
The answer is [tex]\frac{3x}{5x+2}[/tex]
Step-by-step explanation:
1) Factor out the common term x.
[tex]\frac{3x^{2} }{x(5x+2)}[/tex]
2) Simplify.
[tex]\frac{3}{5x+2}[/tex]
Thereofor, the answer is Option D.
Escreva uma equação do 2 grau que tenha: a) - 5 e 3 como raízes. b) x, +x, = 17 x, x = 70, sabendo que x, e x, são as raízes. = = C) 0 e 6 como raizes. d) Duas raízes reais iguais. e) Nenhuma raiz real.
y = 2x-10
Find the value of x and y
Answer:
y = 2x - 10
y=-8×
put the value of y in equation
y= 2x-10
-8x = 2x - 10
-8x= -8x
x = -8/-8
x=1