Erika spent 3/4 of her money on lunch. She has 2.00 left. How much money did she start with?
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200 gallons of water in the first aquarium.
200 gallons of water in the second aquarium.
The first will be for the small fishes.
5 small fish x fish
_____________=__________
10 gallons 200 gallons
cross multiply
10x=1000
divide both sides by 10
x=100 small fish
The first aquarium has 100 small fish.
The second aquarium holds large fish.
8 large fish x fish
____________=___________
40 gallons 200 gallons
cross multiply
40x=1600
divide both sides by 40
x=40 large fish
The second aquarium has 40 large fish.
100small fish+40 large fish=140 total fish
200 gallons of water* (5 small fish/ 10 gallons of water)= 100 small fish.
In terms of the second aquarium, the number of large fish Skye will have is:
200 gallons of water* (8 large fish/ 40 gallons of water)= 40 large fish.
The total number of fish Skye will have is:
100 fish+ 40 fish= 140 fish.
Final answer: 140 fish.
Hope this would help~
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5+5+5+5+5+5+5+5+5+5+5+5+5+5
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Answer:
y = (x - 7)² - 9
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k ) are the coordinates of the vertex and a is a multiplier
given
y = x² - 14x + 40
to obtain vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 14x
y = x² + 2(- 7)x + 49 - 49 + 40
= (x - 7)² - 49 + 40
= (x - 7)² - 9 ← in vertex form
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Answer:
Expression used to convert 22 Australian Dollar to US Dollar is
Step-by-step explanation:
Given:
22 Australian Dollars.
To Do: Expression which can be used to convert Australian dollar to Us dollar.
Let, x be the number of Australian Dollars and y be the US Dollars.
We know that 1.2 Australian Dollar equal to 1 US Dollar.
⇒ 1 Australian Dollar = US Dollar
So, x Australian Dollar = US Dollar
Thus, Expression that can be used to convert Australian Dollar into US Dollar is given by,
So. 22 Australian Dollar
put x = 22
US Dollars
Therefore, Expression used to convert 22 Australian Dollar to US Dollar is
x= US Dollar amount of 22 Australian dollars.
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time is 2
distance of car is:
d_c = d_m + 20, d_m is distance of motorcycle.
speed is defined as:
s = d/t, distance over time.
hence:
d_c/2 = s_c = d_m/2 + 10
s_c = s_m + 10
from problem statement we know:
s_c = 2s_m - 30
so we have 2 simultaneous equations:
s_c = s_m + 10
s_c = 2s_m - 30
multiply second by -1 and sum them both:
s_c = s_m + 10
-s_c = -2s_m + 30
-------------------------
0 = -s_m + 40
s_m = 40
that is the speed of the motorcycle
s_c = s_m + 10
s_c = 40 + 10
s_c = 50
that is the speed of car, both speeds in miles per hour
Answers
Answer:
sum = 900
Step-by-step explanation:
The sum of all odd number can be solved using arithmetic progression formula.
Odd numbers are numbers that cannot be exactly divided by 2 .That means odd number have remainder when divide by 2.
The first odd number is 1
The second is 3
The sequence goes like this
1, 3, 5, 7, 9, 11, 13, 15, 17, 19 , 21 .................................59
a = 1
d = 2
where
a = first term
d = common difference
let us find the number of terms before finding the sum
nth term = a + (n - 1)d
59 = 1 + (n - 1)2
59 = 1 + 2n - 2
59 + 2 - 1 = 2n
60 = 2n
n = 60/2
n = 30
Sum = n/2(a+L)
where L = last term
sum = 30/2(1 + 59)
sum = 15(60)
sum = 900
An = 1 + 2(n-1) ; A1 = 1
sum to n terms
Sn = (An + A1)n/2 ;
An=59, n = 29