Khali and Juan are using ribbon to decorate their art project. The ratio of the length of Khali’s ribbon to the length of Juan’s ribbon is 8:5. If Khali used a total of 72 cm of ribbon, how much did Juan use?
Answers
Answer:
45 cm
Step-by-step explanation:
First, you want to clarify the ratio:
Khali = 8 cm = 72 cm
____ _____ ______
Juan = 5 cm = x cm
To find the missing variable, cross multiply and simplify for x:
8x = 72(5)
8x = 360
x = 45
So, Juan used 45 cm of ribbon if Khali used 72 cm.
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Derek found a function that approximately models the population of iguanas in a reptile garden, where x represents the number of years since the iguanas were introduced into the garden.i(x) = 12(1.9)^xRewrite this function in a form that reveals the monthly growth rate of the population of iguanas in the garden. Round the growth factor to the nearest thousandth.
find the first,fourth,and tenth terms of the arithmetic sequence described by the given rule. A(n)=5+(n-1)(1/6)
y/162 - 7/9
Answers
the answer is y=126
Answers
The populationdensityof the city which is the ratio of populationsizeand the landareais 1419 people per square mile.
- The initial population = 2496435
- The percentage increase in population = 7.9%
- Land Area = 1898 mi²
The population of the city on 2015 can be calculated thus :
- (1 + percent increase) × initial population
- (1 + 0.079) × 2496435 = 2693653.365 people
The population of a city is calculated using the relation :
- Population density = Population / Land Area
- Population density = 2693653.365/1898
- Population density = 1419.21
Therefore, the populationdensityis 1419people per square mile.
Learn more: brainly.com/question/18796573
Answers
Answer:
171 million
Step-by-step explanation:
Given the exponential growth formula expressed as where P is the countrys population and t is the time.
Initially in 1991, at t= 0, P = 147 million
If by 1998 it was 153 million, this means that the population is 153 million 7 years later i.e when t = 7, P = 153. On substituting into the formula to get the constant 'k';
To estimate the population in 2017, to number of years from 1991 to 2017 is 26 years. Hence we are to find the value of P given t = 27, A = 147 and k = 0.00574
Hence the population in 2017 using exponential growth formula to the nearest million is 171 million.
14) 5x7 - 12x +7 = 0
Solve by factoring
Answers
Answer:
see explanation
Step-by-step explanation:
(13)
v² - 11v + 18 = 0 ← in standard form
(v - 2)(v - 9) = 0 ← in factored form
Equate each factor to zero and solve for v
v - 2 = 0 ⇒ v = 2
v - 9 = 0 ⇒ v = 9
solutions are v = 2, v = 9
(14)
5x² - 12x + 7 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 7 = 35 and sum = - 12
The factors are - 5 and - 7
Use these factors to split the x- term
5x² - 5x - 7x + 7 = 0 ( factor the first/second and third/fourth terms )
5x(x - 1) - 7(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(5x - 7) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
5x - 7 = 0 ⇒ 5x = 7 ⇒ x =
solutions are x = 1, x =
Answers
Answer:
D
Step-by-step explanation:
a meter is 100 centimeters so the ratio of the real car to the model is 300 centimeters to 3 centimeters, or 100:1 so D
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Answers
Answer:
x=-2
Step-by-step explanation:
just plug in random numbers until you get your answer, it works for me