MATHEMATICS HIGH SCHOOL

Help me ASAP! ANSWER ALL

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

2. I think C

3.D

4.D

5.B

6. D

7.B

8.A

9.A I think

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How to find the volume of a rectangular prism
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Its 10 3/5 miles from Alston to Barton and 12 1/2 miles from Barton to Chester. The distance from Alston to Durbin, via barton and Chester, is 35 miles how far is it from Chester to durbin

Answers

Answer:

It is $11(9)/(10)$ miles far from Chester to Durbin.

Step-by-step explanation:

Given:

Its 10 3/5 miles from Alston to Barton and 12 1/2 miles from Barton to Chester. The distance from Alston to Durbin, via barton and Chester, is 35 miles.

Now, to find the distance from Chester to durbin.

Distance from Alston to Barton = $10(3)/(5) =(53)/(5) \ miles.$

Distance from Barton to Chester = $12(1)/(2)\ miles =(25)/(2) \ miles.$

As, given the distance from Alston to Durbin, via barton and Chester, is 35 miles.

Thus, the total distance = 35 miles.

So, we add the distance of Alston to Barton and Barton to Chester and get the distance from Alston to Chester:

$(53)/(5) +(25)/(2)$

$=(106+125)/(10)$

$=(231)/(10) \ miles.$

Distance from Alston to Chester $=(231)/(10) \ miles.$

Now, to get the distance from Chester to durbin we subtract distance from Alston to Chester from the total distance:

$35-(231)/(10) \n\n=(350-231)/(10) \n\n=(119)/(10) \n\n=11(9)/(10)\ miles.$

Therefore, it is $11(9)/(10)$ miles far from Chester to Durbin.

The sum of three consecutive numbers is 117. find the largest of the numbers

Answers

consecutive means right after each other
difference of 1
numbers are
x,x+1,x+2
their sum is 117
x+x+1+x+2=117
add
3x+3=117
subtract 3 form both sides
3x=114
divide both sides by 114
x=38
largest number is x+2
38=x
x+2=38+2=40

largest number is 40

Divide 117 by three to get the middle name number, then you subtract one and add one to 1 of the three 39's to get your numbers as 38, 39, 40. And the largest number. Is 40. Hope this helped.

PLEASE HELP!!!!!!solve for the equations :
- 3y + 7 + 3(y-1) = 2(2y+6)

- (x-5)(x+4) = (x+7)(x-6)

- 2(x+1)2(x-2)2 = x(x-3)

Answers

-3y + 7 + 3(y - 1) = 2(2y + 6)
-3y + 7 + 3y - 3 = 4y + 12
4y = 4 - 12 = -8
y = -8/4 = -2.

-(x - 5)(x + 4) = (x + 7)(x - 6)
-(x^2 + 4x - 5x - 20) = x^2 - 6x + 7x - 42
-x^2 + x + 20 = x^2 + x - 42
2x^2 = 62
x^2 = 62/2 = 31
$x=\pm√(31)$

1.y=-2
2. x1,2=+-5.56
3.x1=16.13 , x2=-0.85

Whats the equation of the line that passes through (3,8) and (6,0)

Answers

To begin this problem, we need to use the two points that we are given to find the slope of the line. Slope is defined as the change in y values divided by the change in x values, or rise/run, and is represented by the variable m.

m = (y1-y2)/(x1-x2) = (8-0)/(3-6) = 8/(-3) = -8/3

Now, we can use the slope and one of the points from our given values to create an equation of the line in point-slope form.

y = m(x-h) + k, where a point on the line is (h,k)

y = -8/3(x - 3) + 8

Now, we can distribute our slope and simplify through addition.

y = -8/3x + 8 + 8

y = -8/3x + 16

Therefore, your answer is y = -8/3x + 16.

Hope this helps!

EQUATION OF A LINE IS Y-Y¹ =m(X-X¹)
WHERE M IS SLOPE
SO
EQUATION OF LINE IS Y-0={(8-0)/(3-6)}[X-6]

¶¶ Y= (-8/3)(X-6)
HERE YOU GO---- {3Y+8X-48=0}

HOPE THIS IS HELPFUL

What is the length of stack A G with bar on top in the rectangular prism? Round your answer to the nearest tenth.

Answers

I saw the image that should accompany this problem.
It is a rectangular prism and the base has a right triangle with a measure of the following: long leg = 18cm ; short leg = 16cm

We need to look for the hypotenuse because it serves as the long leg of the right triangle where AG is the hypotenuse.

base triangle
a² + b² = c²
(16cm)² + (18cm)² = c²
256cm² + 324cm² = c²
580 cm² = c²
√580cm² = √c²
24 cm = c

2nd triangle: long leg = 24cm ; short leg = 16cm
(24cm)² + (16cm)² = c²
576 cm² + 256 cm² = c²
832 cm² = c²
√832 cm² = √c²
28.8 cm = c

the length of stack AG is 28.8 cm.

Tommy and his dad rode their bikes at a speed of 12 m.h.p. For 2 hours. They rested in a park and rode at 8 m.p.h. For 2 more hours. How many miles did they travel in total?

Answers

40 miles in total that they traveled