variability
confidence level
standard deviation
Answer: 45.45%
Step-by-step explanation:
Given: The number of toys in Heather's room before = 55
The number of toys now in the room = 30
Now, the decrease in the toys =
We know that the percent decrease is given by ;-
Hence, Heather decrease the amount of toys by 45.45% .
First of all observe that
So, we have
We can simplify the input as
The logarithm of a multiplication is the sum of the logarithms:
Finally, invoke the logarithm property
to get the final answer
The distance travelled by bus is Km.
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Distance Travelled from Boatesville = 65 3/5= 328/5 Km
Distance of bus from Boatesville = 24 1/3 = 73 /3 Km
The distance travelled by Bus
= 328 /5- 73/3
= 984-365/15
= 619/15
= Km
Hence, the distance travelled by bus is Km.
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21 + 9x = 3y
A. There is no solution.
B. There are an infinite number of solutions.
C. The solution is (1, 10)
D. The solution is (28, 0)
The system of equations are solved using substitution method and there are infinite number of solutions
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
To solve the given system of equations using the substitution method, we can follow these steps:
Step 1:
Solve one of the equations for one variable in terms of the other variable.
Let's solve the first equation, y - 3x = 7, for y in terms of x:
y = 3x + 7
Step 2:
Substitute the expression for the solved variable into the other equation.
Substitute the expression for y from step 1, which is 3x + 7, into the second equation, 21 + 9x = 3y:
21 + 9x = 3(3x + 7)
Step 3:
Simplify and solve for the remaining variable.
Now we can simplify the equation and solve for x:
21 + 9x = 9x + 21
0 = 0
Hence , resulting equation is a true statement, 0 = 0, which means that the system of equations is dependent and there are an infinite number of solutions.
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The answer is B
let me show my answer
-3x+y=7;9x+21=3y
Solve -3x+y=7 for y
Add 3x to both sides
-3x+y+3x=7+3x
y=3x+7
Substitute 3x+7 for y in 9x+21 =3y
9x+21=3y
9x+21=3(3x+7)
Simplify both sides of the equation
9x+21=9x+21
Add -9x to both sides
9x+21+-9x=9x+21+-9x
21=21
Add -21 to both sides
21+-21=21+-21
0=0
Answer : B , Infinitely many solutions
I hope that's help !
Have a great day !