Answer:
36
Step-by-step explanation:
9 cookies , 9*4 ((4 because of the 1/4 ))9*4=36
Steps in multiplying fractions. Remember: finding common denominator is not necessary in multiplying fractions.
Common denominators are only needed in adding and subtracting fractions.
14/15 * 5/2
Step 1. Multiply the numerators.
14 * 5 = 70
Step 2. Multiply the denominators
15 * 2 = 30
Step 3. Simplify the fraction.
70/30 = 2 10/30 = 2 1/3
*the fraction 10/30 can still be simplified by dividing both numbers by 10. Hence, 1/3.
Steps in Dividing fractions.
24/60 ÷ 8/15
Step 1. Get the reciprocal of the 2nd fraction. Reciprocal means the reverse of the fraction. Simply swap the places of the numbers.
Reciprocal of 8/15 is 15/8.
Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction. Follow steps in multiplying fractions.
24/60 * 15/8 = (24*15) / (60*8) = 360/480
Step 3. Simplify the fraction.
360/480 = 9 / 12 = 3/4
360 ÷ 40 = 9 ; 9 ÷ 3 = 3
480 ÷ 40 = 12 ; 12 ÷ 3 = 4
This seems like a lot more work than it is, but here we go
Simplifying<span>8 + -2y = 3y + -2
Reorder the terms: 8 + -2y = -2 + 3y
Solving 8 + -2y = -2 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation. 8 + -2y + -3y = -2 + 3y + -3y Combine like terms: -2y + -3y = -5y 8 + -5y = -2 + 3y + -3y
Combine like terms: 3y + -3y = 0 8 + -5y = -2 + 0 8 + -5y = -2 Add '-8' to each side of the equation. 8 + -8 + -5y = -2 + -8
Combine like terms: 8 + -8 = 0 0 + -5y = -2 + -8 -5y = -2 + -8 Combine like terms: -2 + -8 = -10 -5y = -10
Divide each side by '-5'. y = 2
Simplifying y = 2</span><span>
</span>
Answer:
The statement BI = BK is true from the given information ⇒ B
Step-by-step explanation:
If a line is a perpendicular bisector of a line segment, then
- The line intersects the line segment in 4 right angles
- The line intersects the line segment in the mid-point of the line segment
- Any point on the line is equidistant from the endpoints of the line segment
Let us find the true statement
∵ Line AB is the perpendicular bisector of segment IK
→ By using the 1st note above
∴ AB ⊥ IK
∴ ∠IJA, ∠KJA, ∠IJB, ∠KJB are right angles
→ By using the 2nd note above
∴ J is the mid-point of IK
∴ IJ = JK
∵ Any point on line AB is equidistant from The endpoints of IK ⇒ 3rd note
∴ AI = AK
∴ BI = BK
∴ The statement BI = BK is true from the given information
Answer:
a >2
Step-by-step explanation:
n = 3a-6
n must be positive
3a > 6 for n to be positive
Divide by 3
3a/3 > 6/3
a >2
