The sum of three consecutive odd integers is -9. what are the numbers?

Answers

Answer 1

Answer: (-2)+(-3)+(-4)= -9 this is the right answer to your question.

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If m∠ABC = 72°, what is m∠DAB?
A) 72°
B) 108°
C) 144°
D) 216°

Answers

The answer would be B
What you would do is 180-72= 108 degrees

a baseball glove was on sale for 5/6 of the original price. if the original price was $90 what was the sale price

Answers

since the original price was ninety we have to multiply 5/6 by 90
90/1(5/6)
=450/6
=75

Couldn't you go 1/6 x $90. 1/6 being the sale price because 5/6 + 1/6 = 6/6 which is the whole price. 1/6 = 0.166 as a decimal so you would multiply 90 x .16 = 14.40. then $90.00 - 14.40 = 75.60 for the sale price.

One pound of horsehair is divided into pulls to make horsehair belts. One pull weighs about 0.011 ounce. How many pulls could be made from 6 pounds of horsehair

Answers

Given situation:one pound of horse hair is divided into pulls to make horse belts. One pull weighs about 0.011 ounces.Now, there’s 6 pounds that of horse that needs to be pull. How many pulls will be there if each pulls weighs 0.011 ounces.Simply do the division to get the answer:But, let’s first convert pounds to ounces.6 pounds = 96 ounces=> 96 / 0.011 = 8 727.3 ounces in all.There will be approximately 8 727 ounces of pulls.

Janie was given (-2,3) as the endpoint of a line segment and (1,0) as its midpoint. Which ordered pair should Janie choose as the other endpoint?A. (-1/2, 3/2)
B. (1/2, 1/2)
C. (-5,6)
D. (4,-3)

Answers

Answer:

The other endpoint

$(x_(2) , y_(2)) is (4,-3)$

Step-by-step explanation:

Given

Point 1 (-2,3)

Midpoint = (1,0)

We're to calculate the other end point.

To solve this, we'll make use of the formula of midpoints of line

Given that two lines of coordinates $P(x_(1) ,y_(1) )$ and $Q(x_(2) ,y_(2) )$

$(m_(1),m_(2)) = (((x_(1) + x_(2) ))/(2) ,((y_(1) + y_(2) ))/(2))\nWhere\nm_(1) = ((x_(1) + x_(2) ))/(2) \nand\nm_(2) = ((y_(1) + y_(2) ))/(2))\n$

From the question, we have

$m_(1) = 1\nm_(2) = 0\nx_(1) = -2\ny_(1) = 3\n$

Calculating $x_(2)$ ...

From $m_(1) = ((x_(1) + x_(2) ))/(2)$

By Substitution, we have

$1 = (-2+x_(2) )/(2) \n2 = -2+x_(2)\n2 + 2 = x_(2)\n x_(2) = 4$

Calculating $y_(2)$ ...

From $m_(2) = ((y_(1) + y_(2) ))/(2)$

By Substitution, we have

$0 = (3+y_(2) )/(2) \n0 = 3+y_(2)\n0 - 3 = y_(2)\n y_(2) = -3$

Hence, the other endpoint

$(x_(2) , y_(2)) is (4,-3)$

$(-2+x)/(2)=1$ ∧ $(3+y)/(2) =0$ ⇔ $x = 4$ ∧ $y = -3$
R: D (4, -3)

You play video games online. When you sign up with the game site, you get 400 points. You earn 50 more points for each hour that you play. How many hours do you have to play to get to 1,000 points?

Answers

The answer is 12 but the way you get it is you subtract 400 from 1000 which gives you 600 then you divide 600 by 50 to get 12. So it looks like this 1000-400= 600, 600/50=12. Hope this helps. :)

1000-400=600 points left
600 / 50 = 12
So you would have to play for 12 hours to reach 1000 points

A rectangle whose perimeter is 80 m has an area of 384 m^2. Find the dimensions of the rectangle.

Answers

Since area of a rectangle = length X width I came up with an answer of 16 X 24 =384
Also, 16+16+24+24 = 80

$2a+2b=80 \ /:2\ \ \ \Rightarrow\ \ \ \ a+b=40\ \ \ \Rightarrow\ \ \ a=40-b\n \na\cdot b=384\ \ \ \ \Rightarrow\ \ \ (40-b)\cdot b=384\ \ \ \ \Rightarrow\ \ \ -b^2+40b-384=0\n \n \Delta=40^2-4\cdot (-1)\cdot(-384)=1600-1536=64\ \ \ \Rightarrow\ \ \ √(\Delta) =8\n \nb_1= (-40-8)/(2\cdot(-1))= (-48)/(-2) =24\ \ \ \ \Rightarrow\ \ \ a_1=40-b_1=40-24=16 \n \nb_2= (-40+8)/(2\cdot(-1))= (-32)/(-2) =16\ \ \ \ \Rightarrow\ \ \ a_2=40-b_2=40-16=24$

$Ans.\ The\ dimensions\ of\ the\ rectangle:\ \ \ 16\ m\ \ \ and\ \ \ 24\ m$

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