Let's write it down in mathematical terms:
x-y=5
so
x=5-y
this means:difference between two numbers is 5
2y=x+18
this means: twice the smaller number is 18 more than the larger number
and we can substitute the x for what we said before:
2y=(5-y)+18
we add 1 y from each side:
3y=5+18
3y=23
so the smaller number is 23 and the bigger number is 23+5=28.
The problem says the car travels 340 miles on 20 gallons so 340/20
We want to know how much the car can travel with 25 gallons of gas so x/25
We would use cross multiplication:
From here you would multiply:
Now to solve for x you would start by multiplying 340 * 25
340*25=8500
now we have
8500=20x
to isolate x we would divide both sides by 20
Final answer: x=425miles
So the answer is 425miles
Answer:the weight after 225 days is
22885 kilograms
Step-by-step explanation:
The initial weight of the blue whale calf at birth is 2725 kilograms. blue whale calf gains 90 kilograms of weight each day for the first 240 days after its birth. The weight increases in arithmetic progression. This means that the first term of the sequence, a is 2725, the common difference, d is 90.
The formula for the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
n is the number of terms of the sequence.
a is the first term
d is the common difference
We want to determine its weight, T225 after 225 days after it’s birth. It means that n = 225
Therefore
T225 = 2725 + (225 - 1)90
T225 = 2725 + 224×90 = 2725 + 20160
T225 = 22885
the equation is made and the included values are indicated.
Answer:
Perimeter of the rectangle=
Step-by-step explanation:
The perimeter of the rectangle with the given coordinates is the sum of its all four sides:
Let the points be A(1,-4), B(1,6), C(3,-4) and D(3,6)
Finding the sides of the rectangle using the Distance formula:
AB=
BC
CD=
AD=
Perimeter of the rectangle=AB+BC+CD+AD
=
Perimeter of the rectangle=