Answer:
c) 4
Step-by-step explanation:
<u><em>The sum of two numbers is 14. The larger number minus three times the lesser number is -2</em></u>
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To solve this question, we need to write the statement mathematically;
Let the two numbers be x and y
"The sum of two numbers is 14" can be mathematically written as x+y = 14
and
"The larger number minus three times the lesser number is -2" can be mathematically written as x - 3y = -2
x + y = 14 ------------------(1)
x - 3y= -2 -------------------(2)
Subtract equation (2) from equation (1)
[x - x = 0 y - (-3y)=4y 14-(-2)=16]
4y = 16
To get the value of y divide both-side of the equation by 4
4y/4 = 16/4
y = 4
Substitute y=4 into equation (1)
x + y =14
x +4 =14
Subtract 4 from both-side of the equation
x + 4 -4 = 10]-4
x = 10
x=10 and y =4
Therefore the lesser number is 4
The ratio of the number of cups of apple juice to lemon-lime soda is 6:1.
If there is a point on the graph at (1, 6), where the x-coordinate the number of cups of lemon-lime soda and y-coordinate is the number of cups of apple juice, you can deduce the ratio (6 cups of apple juice for 1 cup of lemon-lime soda).
As you imagine on the graph, this pattern continues, with 2 cups of lemon-lime soda for 12 cups of apple juice, that simplifies to 1 cup of lemon-lime soda for 6 cups of apple juice. Since the question asks for the ratio of apple juice to lemon-lime soda, you just reverse the values and get 6:1
Answer:
conclusion
Step-by-step explanation:
We are given a single statement:
"Little sisters are annoying."
A hypothesis regarding that statement is then proposed:
You are a little sister.
The only two possible interpretations from the information given are that you either are annoying or not. Since little sisters are annoying, if you are a little sister, the only possible logical conclusion is that you are annoying.
The answer is conclusion.
Hello from MrBillDoesMath!
Answer:
Choice B
Discussion:
In the original statement, x^4 - 4x^2 +4, note x^4 is the square of x^2 suggesting that if we set u = x^2 the original equation is equivalent to
u^2 -4u + 4
which factors as
(u -2)^2
Since u = x^2, the final factorization is
(x^2 -2) ^2
This is Choice B
Thank you,
MrB
Answer:
2744 Rhinos will be left after 10 years
Step-by-step explanation:
This question has to do with exponential decay rate. We solve this using the formula:
P(t) = Po(1 - r)^t
Where P(t) = Amount left after t years
Po = Initial amount
r = Decay rate = 3.7% = 0.037
t = time in years = 10 years
P(t) = 4000(1 - 0.037)¹⁰
P(t) = 4000 × 0.963¹⁰
P(t) = 4000 × 0.6859032667003232
P(t) = 2743.6130668
Approximately = 2744 Rhinos will be left after 10 years