Tina lost 3 pounds on the first week of her diet. She gained a pound on the second week, and then lost 2 pounds a week during every week afterwards. She has been dieting for a total of 13 weeks. How many pounds has Tina lost in all?A. 26 pounds
B. 20 pounds
C. 24 pounds
D. 22 pounds

Answers

Answer 1
Answer: It's 24 because she has been dieting for 13 weeks in total whick includes the first two when she lost 2 lbs.
Answer 2
Answer: answer is B. A Total of 24 pounds Tina lost in 13 weeks! 

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The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.

Answers

Area of the rectangle= L* w
x^(2) -2x-15
On expanding;
x^(2) -5x+3x-15
=x(x-5)+3(x-5)
=(x+3)(x-5)
The width is (x-5)

Answer:

Width of the rectangle is (x-5)

Step-by-step explanation:

We know that, the product of length and width gives the area of the rectangle.

The area of a rectangle is given as,

\Rightarrow \text{Area of rectangle}=\text{Length}* \text{Width}

\Rightarrow \text{Width}=\frac{\text{Area of rectangle}}{\text{Length}}

Factoring the area,

=x^2-2x-15

=x^2-5x+3x-15

=x(x-5)+3(x-5)

=(x+3)(x-5)

Putting it in the equation,

\Rightarrow \text{Width}=((x+3)(x-5))/((x+3))=(x-5)

If I walk outside with my umbrella, then it will rain. Decide whether the given conditional statement is true or false. If it is false, explain why the logic is faulty and rewrite the statement so it is true. If it is true,explain why it is true and write two additional true statements of your choice

Answers

Answer:

False

Step-by-step explanation:

Umbrellas could be used for different reasons besides rain.

Solve 5(g-2)+g = 6(g-4)

Answers

5(g-2)+g = 6(g-4)
5g-10+g = 6g-24
6g-10 = 6g-24
6g-6g=-24+10
0=-14
0 \neq -14
5(g-2)+g = 6(g-4)
5g-10+g = 6g-24
6g-10=6g-24
contradiction

The Drama club is showing a video of their recent play. The first showing begins at 2:30 p.m. The second showing is scheduled at 5:25 P.m. With a 1/2-hour break between the showings

Answers

Answer is 2 hours 25 minutes 2:30+30=3:00 5:25 and 3:00= 2 hours 25 mins inbetween

Julie drives 100 mi to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 33.0 and half the distance at 80.0 . On her return trip, she drives half the time at 33.0 and half the time at 80.0 . What is Julie's average speed on the way to Grandmother's house? What is her average speed on the return trip?

Answers

Average speed is ALWAYS calculated as total distance / total time 
total distance is 100mi 
total time is (50mi / 33) + (50mi / 80) 
total time is = 1.52 + 0.625 = 2.145 
so average speed going to grandmothers house is 100mi / 2.145 hrs = 46.62 mph 

on her return trip 
x = V1 x t/2 + V2x t/2 
100 = 33t/2 + 80t/2 
100 = 113t/2 
t = 100x2/113 = 1.7699hrs 
average speed = 100mi/1.7699hrs = 56.60mph

The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of ​​the original piece of land.

Answers

Step-by-step explanation:

Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m

Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m

If 4 small square flower bed of side length 1 m are made at center.

To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.

Perimeter of the rectangle = 2 × ( length + breadth )

= 2 × ( 25/2 + 26/5 )

= 2 × ( 177/10 )

= 177/5 m

= 35.4 m

Area of the rectangular land = Length × Breadth

= 25/2 × 26/5

= 5 × 13

= 65 m²

Area of a flower bed = side × side = 1 × 1 = 1 m²

Area of 4 flower bed= 4 × 1 = 4 m²

Area left in the land = 65 - 4 = 61 m²

Therefore, Perimeter of the land is 35.4 m

Area of land is 65 m²

Area of the land left after flower beds is 61 m²