Answer:
x = 26/yz
Step-by-step explanation:
Answer:
960
Step-by-step explanation:
We start with the variable "x". Let's call "x" Raina's penny bank.
After adding 360 pennies, at the end, she has 5/8x, or 5/8.
So we start with
(1/4)x + 360 = 5/8x
Let's subtract 1/4x from both sides
360 = 5/8x - 1/4x
Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8
360 = 5/8x - 2/8x
Now we simplify to get
360=3/8x
Multiply the reciprocal of 3/8 to both sides which is 8/3
360 * 8/3 = x
Answer is 960 pennies.
Therefore Raina's bank hold 960 pennies.
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds
Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II
Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds
Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds
Hope this helps :)
To find the reciprocal of a number, just flip the numerator and the denominator around.
A. The reciprocal of 2/3 is 3/2.
C. Firstly, convert the mixed fraction into an improper fraction. Multiply the whole number by the denominator and add the numerator to that product. After that, put the quantity on the numerator. In this case, 6 x 6 = 36 and 36 + 1 = 37, so our improper fraction is 37/6. Next, just flip the numerator and denominator around, and your reciprocal is 6/37.
