Michelle went on a hike she started at 6:45am and returned at 3:28pm. How long did she hike

Answers

Answer 1

Answer: 9 hours and 15 minutes

Answer 2

Answer: 9 hours and 15 minutes

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If you answer ALL questions listed, you get a good amount of points (3 questions, 5 points each, 15 points total) :D

1) Which pair are solutions to the equation?

4xy + 8 = 36

A.
(7, 1) and (3, 2)

B.
(1, 7) and (7, 1)

C.
(1, 7) and (4, 9)

D.
(4, 9) and (3, 2)

2)
Which of the ordered pairs in the form (x, y) is a solution of this equation?

5x - y over 3 = 13,
(2, -9) (3, -6)

A.
The first is not a solution, but the second is.

B.

Both are solutions.

C.

The first is a solution, but the second is not.

D.

Neither is a solution.

3)
Which ordered pairs in the form (x, y) are solutions to the equation

7x – 5y = 28?

Choose all answers that are correct.

A.

(−6, −14)

B.

(−1, −7)

C.

(4, 10)

D.

(7, 9

Answers

1)

$4xy+8=36\n4xy=28\nxy=7$

We know that each coordinate (x,y) must therefore multiply to equal 7. The only numbers that multiply to 7 are 7 and 1, so B) is the correct answer.

2)

For this one, just plug in the coordinates they give you for x and y and see if either one works:

$5x-(y)/(3)=13\ \ \ \ \ \ \ (2,-9)\n5(2)-((-9))/(3)=13\n10-(-3)=13\n13=13$

So the first one is a solution. Now plug in the second one:

$5x-(y)/(3)=13\ \ \ \ \ \ (3,-6)\n5(3)-((-6))/(3)=13\n15-(-2)=13\n17=13$

Therefore, the first is a solution and the second isn't making C) the correct answer.

3)

For this one, just plug in the ordered pairs they give you and see which ones end up working:

$7x-5y=28\n\nA. (-6,-14)\n7(-6)-5(-14)=28\n-42+70=28\n28=28\n\nB.(-1,-7)\n7(-1)-5(-7)=28\n-7+35=28\n28=28\n\nC.(4,10)\n7(4)-5(10)=28\n28-50=28\n-22=28\n\nD.(7,9)\n7(7)-5(9)=28\n49-45=28\n4=28$

A) and B) are the only ones that work out, so those are the correct answers.

1. 4xy+8=36

4xy=28

xy=7

2. 5(2)-(-9)/3=13

10-(-3)=13

13=13

5(3)-(-6)/3=13

15-(-2)=13

17≠13

3. 7(-6)-5(-14)=28

-42+70=28

28=28

7(-1)-5(-7)=28

-7+35=28

28=28

7(4)-5(19)=28

28-50=28

-22≠28

7(7)-5(9)=28

49-45=28

4≠28

Hope this helps... :)

( 5x + 685 ) + ( 12x - 106 ) = 2500

Answers

Answer:

x = 113

Step-by-step explanation:

( 5x + 685 ) + ( 12x - 106 ) = 2500 ( 685 - 106 = 579)

17x + 579 = 2500

17x = 2500 - 579

17x = 1921

x = 1921 / 17

x = 113

The sum of four consecutive numbers is 90. Find the numbers.

Answers

Answer:

21, 22, 23, and 24

Step-by-step explanation:

90/4=22.5

22.5 is the middle of all of the numbers

so, the numbers are 21, 22, 23, and 24

21,22,23,24 because
$90 / 4 = 22.5$
and 22.5 is the middle of all the numbers 21,22,23,24

The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height? please help!

Answers

the surface area is 136

you need to subtract the surface area of the base. It is a square pyramid, so both the sides are 4 inches, meaning you need to multiply 4x4 which is 16 and subtract it from the rest of the area. 136-16=120

There are four identical triangles that have identical surface area because it is a square triangle. So you can divide 120 by four to get the area of one of the triangles. 120/4=30

the formula for the area of a triangle is 1/2 base x height. We know that the base is 4 because that is the length that was given to us. so we can plug in our numbers into the formula

30=1/2(4)(height)

30=2(height)

and from there we can solve. 30/2=15

the height of the triangle is 15, which is also the slant height

to check our work, 1/2(4)(15)=30

4x15=60

1/2x60=30

Can someone help me on # 4
And tell me if I set it up right??