Answer:
3/4 cups of coconut oil.
Step-by-step explanation:
1/3 * 3 = 3/3 = 1
1/4 * 3 = 3/4
So it would be
3/4
So she has 400 and 500 so far.
now if she were to have an average of 2300 for the next 5 years, that means some years she made more, some she made less, but in the 5 years run, she made 2300 * 5 or 11500 total.
Neverminding the lows and highs, if we bundle up the 11500 bucks and divide by 5, that'd 2300, which is what's called the average, the average amount doesn't take into account that some numbers are higher than others, it kinda just flattens them out.
so in total she would have made 11500 in each account.
so in the account with 400, she needs 11100 more, how much will it be 1100 for the next three years on average? 11100/3 or 3700.
so if she earns 3700 each year, for the next 3 years in the account with 400 already, she'd have 11500 bucks in 5 years with an average of 2300.
now let's look at the 500 account, she needs 11000 more, how much will it be for 11000 for the next three years on average? 11000/3 or about 3666.67.
so if she earns 3666.67 each year, for the next 3 years, she'd have 11500 bucks in 5 yeas with an average of 2300.
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
Step-by-step explanation:
Two lines with slopes and are parallel when and are perpendicular when
Now determine the slope of all the lines
The line jk passes through the points
(-5,5) and (1,-5) so its slope is
To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope
5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3
Neither parallel nor perpendicular.
6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5
Neither parallel nor perpendicular.
5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3
This line is parallel
6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5
Since (-5/3)(3/5) = -1 this line is perpendicular.
An infinite strip with a symmetric pattern is called a frieze pattern.
There are only seven possible frieze pattern.
1. Translation symmetry only.
2. Glide reflection plus translation symmetry.
3. Reflection over a horizontal line plus translation.
4. Reflection over a vertical line plus translation.
5. Rotation (a half-turn about a point on the mid line of the strip) plus translation.
6. Reflection over a vertical line plus a reflection over a horizontal line plus translation.
7. Reflection over a vertical line plus glide reflection plus translation.
Answer:
Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.
Step-by-step explanation:
Hi
We define
, wich means Brand A has 1 oz containing 35% peanuts.
, wich means Brand b has 1 oz containing 25% peanuts.
So we can build an equiation system
(1)
(2), after fixing it a little
(2)
As we can use any method to solve the system, I used a calculator wich thrown the following results and .