Let p = number of pennies we need to find.
(3/10)/(4/5) = p/440
Solve for p to find your answer.
Answer:
880
Step-by-step explanation:
Multiply the numerator and the denominator of 4/5 by 2 so it can be added. Rachel's bank would now be 8/10 full. If 440 pennies made it half full (8/10-3/10= 5/10, which equals 1/2) then 880 pennies (440 times 2) would fill it up completely. Hope this helps!
-throckmorton
Find a formula for y in terms of x
Answer:
Step-by-step explanation:
y being directly proportional to the square of x means that the ratio between the two will always be equal to some constant (let's call it k). In equation form, we'd say:
We're told that y = 96 when x = 4, so we can plug those values in to find k:
Our more general equation is now
If we want to put y in terms of x, we need to get the y by itself on one side of the equation, which we can do here by multiplying both sides by x², giving us
The question is about finding the equation given that y is directly proportional to the square of x. Based on the values in the question, the constant of proportionality 'k' is calculated as 6. Hence, the formula for y in terms of x is y = 6 * x^2.
When we say, y is directly proportional to the square of x, it simply means there is a constant constant of proportionality 'k', such that y = k * x2. Given in the problem, when x = 4, y = 96, we can substitute these values into the equation to solve for 'k'. This results in 96 = k * (42) which simplifies to 96 = 16k, and solving this gives us k = 6. Therefore, the formula for y in terms of x is y = 6 * x2.
#SPJ2
Answer:
7 nickles
8 dimes
4 quarters
Step-by-step explanation:
q
d = 2q
n = q+3
25q + 10d + 5n = 215
25q + 10(2q) + 5(q + 3) = 215
25q + 20q + 5q - 15 = 215
50q = 200
q = 4
d = 2q = 8
n = q + 3 = 7
36 apples, 24 oranges
For this, each 'group' contains 5 fruits; three are apples; two are oranges. Take 60/5 is 12. then multiply 12 by each number of apples and oranges in each group, getting 36 apples and 24 oranges.
3.4 = 2p
A. 1/2
B. 3.4
C. 1.7
D. 0.3
Answer:
p=1.7
Step-by-step explanation:
I took the test and got this correct
Answer: Lucy will have a total of $56.15 left after buying the E-Book.
Step-by-step explanation:
To find the answer, you will need to add together the total amount of money Lucy received from every one for her birthday.
After getting the total by using addition, you will need to use subtraction to get the answer for the total remaining money.
$20.00 + $15.00 + $32.00 = $67.00
$67.00 - $10.85 = $56.15