Mr Tanaka used 10 gallons of gas. You find this answer by diving the denominator (3) with the total number of gallons of gas. So 15 divided by 3 is 5. Now you get the number 5, and multiply it by the numerator (2). 5*2 is 10. That is how you find the answer.
Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
Answer: The correct answer is 341 children
Step-by-step explanation:
Firstly you solve for the number of children that like both types of ice cream.
Let us assume it to be x
(150 - x )+ x + (125 - x) + 166 = 391
150 + 125 + 166 - x + x - x = 391
441 - x = 391
X = 441 - 391
X = 50
Since 50 children like at least one type of ice cream, subtracting it from the total no. of children will give the number of children that like at most one type
Therefore, 391 - 50 = 341 children
Alternatively,
Sum up children who like only chocolate ice cream + pistachio ice cream only + does who don't like any type of ice cream
= (150 - 50) + (125 - 50) + 166
= 100 + 75 + 166
= 341 children
Answer:
The balance after 1 is $7070.35.
Step-by-step explanation:
Compound continuous formula:
A=The final balance
P=Principal
r= interest rate.
Jason deposited $700.00 as principal for 1 year at a rate 1%, compounded continuously.
Here A=$700.00, t= 1 year, r=1%=0.01
=$7070.35
The balance after 1 is $7070.35.
