Answer:
12 bouquets
Step-by-step explanation:
Let there be x number of roses and x number of tulips initially at the store. Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.
If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.
After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:
x - 3y = 30 Equation 1
x - 4y = 18 Equation 2
Subtracting Equation 2 from Equation 1, we get:
x - 3y - (x - 4y) = 30 - 18
x - 3y - x + 4y = 12
y = 12
Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store.
The interior angles are 3, 4, and 6. Angle 3 is adjacent to angle 1, so is not remote.
The remote interior angles to angle 1 are
... A. angle 4
... E. angle 6
Answer:
see explanation
Step-by-step explanation:
(a)
Note the squared value in column 3 which is the square of 1 more than the row number, that is
row 2 → (2 + 1)² →3²
row 3 → (3 + 1)² → 4²
Find the square root of 676 = 26 → (25 + 1)² = 26²
Hence the row number is 25
(b)
The pattern in column 1 is [ row number × (row number + 2 ) + 1 ]
row number is n then n(n + 2) + 1 = n² + 2n + 1
Answer:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Step-by-step explanation:
The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (
), measured in inches per second, is defined by following expression:
(1)
Where:
- Radius of the wheel, measured in inches.
- Angular speed, measured in radians per second.
If we know that 
and 
, then the linear speed, measured in miles per hour, in which Darlene is traveling is:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Each pencil costs 0.72 as you do 4.32 / 6
