Answer:
{x=2,y=2
Step-by-step explanation:
Equation 1:
Multiply both sides of the equation by a coefficient
{ 4(2x-y)=2*4
-5x+4y=-2
Apply Multiplicative Distribution Law
{8x-4y=2*4,-5x+4y=-2
8x-4y+(-5x+4y)=8+(-2)
Remove parentheses
8x-4y-5x+4y=8-2
Cancel one variable
8x-5x=8-2
Combine like terms
3x=8-2
Calculate the sum or difference
3x=6
Divide both sides of the equation by the coefficient of the variable
x=6/3
Calculate the product or quotient
x=2
Equation two:
{-5+4y=-2, x=2
-5*2+4y=-2
Calculate the product or quotient
-10+4y =-2
Reduce the greatest common factor (GCF) on both sides of the equation
-5+2y=-1
Rearrange unknown terms to the left side of the equation
2y=-1+5
Calculate the sum or difference
2y=4
Divide both sides of the equation by the coefficient of the variable
y=4/2
y=2
Hope this helps!!
Ratio and propoertion
cost/amount is constant
1235/95=x/285
cross multiply or time both sides by (95 times 283)
351975=95x
divide oth sies by 95
3705=x
the cost is $3705
18 chocolate cakes were made. 40(3)= 120 cakes in total. 15%=.15 .15(120)= 18
Answer:

Step-by-step explanation:
From the question we are told that:
Speed of ball 
Length of field 
Generally the equation for Time taken
is mathematically given by





Therefore it will take the ball to get from one end of the field to the other
Answer:
0.8413 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 4.00 centimeters
Standard Deviation, σ = 0.60 centimeters
Sample size, n = 16
We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =

P(diameter of sample is more than 3.85 centimeter)
P(x > 3.85)
Calculation the value from standard normal z table, we have,
0.8413 is the probability that the the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.