With 6.75 cups of yogurt , we can make 4 bowls of fruit dip.
<u>Step-by-step explanation:</u>
We have ,Themba has 6.75 cups of yoguri and needs to make 5 bowls of fruit dip. Each bowl uses 1.5 cups of yogurt .
<u>With 1.5 cups of yogurt:</u>
With help of 1.5 cups of yogurt one bowl of fruit dip is made. Now we are left with (6.75 - 1.5 = 5.25) cups of yogurt. Number of bowls of fruit dip = 1.
<u>With another 1.5 cups of yogurt:</u>
With help of 1.5 cups of yogurt one bowl of fruit dip is made. Now we are left with (5.25 - 1.5 = 3.75) cups of yogurt. Number of bowls of fruit dip = 2.
<u>With another 1.5 cups of yogurt:</u>
With help of 1.5 cups of yogurt one bowl of fruit dip is made. Now we are left with (3.75 - 1.5 = 2.25) cups of yogurt. Number of bowls of fruit dip = 3.
<u>With another 1.5 cups of yogurt:</u>
With help of 1.5 cups of yogurt one bowl of fruit dip is made. Now we are left with (2.25 - 1.5 = 0.75) cups of yogurt. Number of bowls of fruit dip = 4.
Now, Another bowl of fruit dip couldn't be made because we have only 0.75 cups of yogurt ! So, with 6.75 cups of yogurt , we can make 4 bowls of fruit dip.
Answer:
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime.
Answer:
$3,000 invested at 6%
$7,000 invested at 10%
Step-by-step explanation:
Maria had total $10,000 to invest.
Let x be the amount that Maria invested initially at 6% interest rate.
0.06x
Then she invested the remaining amount at 10% interest rate.
0.10(10,000 - x)
She received a total of $880 in interest.
0.06x + 0.10(10,000 - x) = 880
0.06x + 1000 - 0.10x = 880
-0.04x = 880 - 1000
-0.04x = -120
0.04x = 120
x = 120/0.04
x = $3,000
This is the amount that Maria invested initially at 6% interest rate.
The remaining amount is
10,000 - 3,000
$7,000
This is the remaining amount that she invested at 10% interest rate.
Answer:
1. -7.5
2. $1
3. 40
Step-by-step explanation:
For number 1, it can be solved by using the PEMDAS method, or see explanation below:
6x - 4x - 36 = 6 - 2x
2x - 36= -2x + 6
4x + 36 = 6
4x = -30
x = -15/2 or -7.5
For number 2, substitute 3 into both equations:
f(x) =1.50(3) + 2.00
and
f(x) = 2.00(3) + 1.50
This would get $6.50 and $7.50, which, if subtracted, gets $1.
For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.
Hope this helps!
Area od pizza, A = Pi*Diameter^2/4
A1 = Pi*8^2/4 = 50.27 in^2
A2 = Pi*10^2/4 = 78.54 in^2
A3 = Pi*12^2/4 = 113.10 in^2
Cost (C) per sq. in;
C1 = 50.27/9 = $5.59
C2 = 78.54/12 = $6.55
C3 = 113.10/18 = $6.28
The best buy is the first pizza with 8 in diameter as it costs the least per sq. inch.
