They will both have the same amount in the bank after 10 weeks
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change, slope or gradient
<h3>How to determine the solution to the system?</h3>
A system of linear equations is a collection of at least two linear equations.
In this case, we have
<u>Nancy</u>
Initial = 400
Rate = 10
So, the equation is
y = 400 + 10x
<u>700</u>
Initial = 700
Spending = 20
So, the equation is
y = 700 - 20x
When they both have the same amount of money in the bank, we have
700 - 20x = 400 + 10x
Evaluate the like terms
30x = 300
Divide by 30
x = 10
Hence, they will both have the same amount in the bank after 10 weeks
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Answer:
yes
Step-by-step explanation:
The volume of the rectangular prism is the product of its dimensions:
(25 ft)(25 ft)(14 ft) = 8750 ft³
The tank is larger than the required 7500 ft³, so it is big enough.
Answer:
The proportion follows normal distribution,
Mean u = 0.39
standard deviation σ = 0.0218
Step-by-step explanation:
Solution:-
- Lets assume the population proportion ( p ) to be the percentage of adult Americans who believe that marriage is now obsolete.
- We will check for normality:
Lets take, p^ = p (Mean proportion of the distribution)
- The condition of normality,
n*p*( 1 - p ) ≥ 10
Where, n : The sample size taken.
500*0.39*( 1 - 0.39 ) = 500*0.39*( 0.61 )
118.95 ≥ 10
- Hence, with the testing statistics the condition for normality are validated. Hence, the distribution for proportion of adult americans who believe that marriage is now obsolete follows a normal distribution.
- The parameters of the distribution are:
Mean : u = p^ = p = 0.39
Standard deviation σ =
=
Let number of adult tickets be a , therefore number of student ticket be a+4 .
And total cost of the tickets is 58, that is

Distributing 2.50 on a+4

Combining like terms

Number of adult tickets are 8 and number of students tickets are 12.
Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line