Answer:
72 dessert options available
Step-by-step explanation:
3*6*4=72
Answer:
2.25 miles
Step-by-step explanation:
When driving a car time taken is 20 minutes. This is equal to 20/60 hours , 1/3 hours / 0.3 hours
When riding a bike , time taken is 45 minutes. This is 45/60 hours , 3/5 hours/ 0.75 hours
The formula for speed is : Speed = Distance covered / time taken
The statement is that the driving speed is greater than biking speed by 4.5 mph
Assuming the distance to work is x miles then;
x/ 0.3 - x/0.75 = 4.5 ------eliminate 0.3 by multiplying each term by 0.3 to get
x- 0.3/0.75 x = 1.35 -------eliminate 0.75 by multiplying each term by 0.75 to get
0.75 x - 0.3 x = 1.0125
0.45 x = 1.0125
x= 1.0125 / 0.45
x = 2.25
2) If we have 2 points K & M with their coordinates (x₁,y₁) & (x₂,y₂), the the distance of KM is given by the formula:
KM = √[(x₂-x₁)² + (y₂-y1)²] ; K(2,3) & M(5,1) (Given)
KM = √[(5-2)² + (1-3)²] ==>√(9+ 4) ==> KM = √13 (ANSWER D)
3) The coordinates are A(4,7) & B(-3,9). Follow & apply the same methodology as above:
AB =√[(x₂-x₁)² + (y₂-y1)²] ; A(4,7) & B(-3,9) (Given)
AB =√[(-3-4)² + (9-7)²] ==> AB = √[(-7)² + (2)²] ==> √(49+4) =√53 (B)
;
Answer:
The answer is -2r + 8.
Step-by-step explanation:
1) Simplify 1/5(5r + 10) to 5r + 10/ 5.

2) Factor out the common term 5.

3) Cancle 5.

4) Expand by distributing terms.

5) Remove parentheses.

6) Collect like terms.

7) Simplify.

<em><u>Thus</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>for</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>-2r</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>8</u></em>.