Answer:
Batch 1:- Red 2 ounces Blue 1 1/2 ouncesBatch 2:- Red 3 White 3 3/4 ounces.Batch 3:- White 4 1/6 Blue 2 1/2 ounces
.Step-by-step explanation:Batch 1Amount of the white paint = 5/12 of the batch = 2 1/2 or 5/2 ounces.5/12 is equivalent to 5/2 ounces of white paint.1/12 ......................... 5/2 / 5 = 5/10 = 1/2 ounce.Red paint.!/3 of the product contains red paint which is 4/12 so this is 4 times 1/12 = 4 * 1/2 ounce = 2 ounces of red paint.Blue paint.Similarly to the above amount of blue paint = 1/4 =3/12= 3 * 1/2 = 1 1/2 ounces of blue paint.Batch 2.We can calculate the missing quantities in a similar way to Batch 1.Blue Paint = 3/12 of the product = 2 1/4 ( = 9/4) ounces so1 /12 = 9/4 * 1/3 = 9/12 = 3/4 ounceRed Paint:- 1/12 is equivalent to 3/4 ounce so Amount of red paint = 4 * 3/4 = 3 ounces (answer)White paint = 5 * 3/4 = 15/4 = 3 3/4 ounces (answer)Batch 3.Red paint = 3 1/3 ounces is equivalent to 4/12 of the product.So 1/12 = 10/3 / 4 = 10/12 = 5/6 ounces.White paint = 5/6 * 5 = 4 1/6 ounces.Blue paint = 5/6 * 3 = 15/6 = 2 1/2 ounces.
Step-by-step explanation:
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Answer:
1/9x
Step-by-step explanation:
The parenthesis around the 9x means that the -1 exponent goes to the whole thing (the 9x) To "fix" a negative exponent push the 9x across a fraction bar to make the exponent positive. When you push the 9x down across a fraction bar that leaves a 1 on top of the fraction, that has nothing to do with the 1 exponent. Its a 1 on top because when you push the 9x down there is nothing left on top so it is a 1.
(9x)^-1
= 1/9x
To be clear, this is a 1 one top and a 9x on the bottom of a fraction.
Answer:
Direct variation problems are solved using the equation y = kx. ... Step 3: Rewrite the equation from step 1 substituting in the value of k found in step 2. ... Example 3 – If c varies directly as the square root of d, and c = 6 when d = 256, find c ...
Answer:
8 positive integers.
Step-by-step explanation:
One value of n would be 15 because 225 = 15^2.
Other values are 225 * n where 15n <= 1000 and n is a perfect square.
So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.
n = 9 gives us 225 * 9 which is a perfect square and 15*9 = 135.
n = 16 gives us 225*16 and 15*16 = 240 , so OK.
n = 25 gives a perfect square and and 15*25 = 375 - so OK.
n = 36 gives a perfect square and 15*36 = 540 - so OK.
n = 49 gives a perfect square and 15*49 = 735 - so OK.
n = 64 gives a perfect square and 15*64 = 960 - so ok.
n = 81 gives a perfect square and 15 * 81 = 1215 so NOT ok.
Answer:
33; subtracted from
Step-by-step explanation:
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