the blue lake trail is 11 3/8 miles long. Gemma has hiked 2 1/2 miles each hour for 3 hours . how far is she from the end of the trail

Answers

Answer 1

Answer: It is very important to look at all the information's that are given in the question. Based on those given information's the answer to the question can be easily deduced.
Length of the blue lake trail = 11 3/8 miles
= 91/8 miles
Distance hiked by Gemma per hour = 2 1/2 miles
= 5/2 miles
Then
Distance hiked by Gemma in 3 hours = (5/2) * 3 miles
= 15/2 miles
Then
Distance from the end of the trail = (91/8) - (15/2) miles
= (91 - 60)/8 miles
= 31/8 miles
= 3 7/8 miles
So it can be concluded from the above deduction that the distance that is still left for Gemma to cover the trail is 3 7/8 miles. I hope there is nothing complicated in the procedure for you to not understand.

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Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?A) (-1,1),(-1,4),(-6,1) B) (-1,1),(-1,5),(-6,1) C) (-1,1),(-1,4),(-7,1) D) (-1,1),(-1,5),(-7,1)
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A rancher has 200 ft of fencing to enclose two adjacent rectangular corrals. (A) write the area A of the corrals as a function of x. (B) create a table showing possible values of x and the corresponding areas of the corral. Use the table to estimate the dimensions that will produce the maximum enclosed area. (C) use a graphing utility to graph the area function. Use the graph to approximate the dimensions that will produce the maximum enclosed area. (D) write the area function in standard form to find analytically the dimensions that will produce to maximum area.
If (x-1) / x =20 , then x=
How do I solve this

Fold the slope 2x+y=10

Answers

Answer:

Step-by-step explanation:

slope=m

mx+y=10

2x+y=10

How do you find the slope of the line 2x+y=10?

Change the equation to slope-intercept form, y=mx+b , where m is the slope and b is the y-intercept.

2x+y=10 Subtract 2x from both sides.

y=−2x+10 The slope is −2 .

-2 is the naswer hope this helped (negative 2)

2/3x -1=9-1/6x please help thanks

Answers

if we're solving for x then x=12

Which is the number, which when squared and added to 12 becomes seven times its value ?

Answers

$x^(2)+12=7*x$ , where x is unknown numer

Now we are moving $7*x$ on left side to obtain quadratic equation:

$x^(2)+12-7*x=0$

Our goal is to find two roots of this equation.

First we are finding delta:

$\Delta =b^(2)-4*a*c$

$\Delta =(-7)^(2)-4*1*12=1$

First root:

$x_(1)=(-b+√(\Delta))/(2*a)$

$x_(1)=(7+√(1 ))/(2)=4$

Second root:

$x_(2)=(-b-√(\Delta))/(2*a)$

$x_(2)=(7-√(1 ))/(2)=3$

$x^2+12=7x\n x^2-7x+12=0\n x^2-3x-4x+12=0\n x(x-3)-4(x-3)=0\n (x-4)(x-3)=0\n x=4 \vee x=3$

Please answer quick!The perimeter of a rectangular herb garden is 74 feet. If the length of the garden is 5 feet longer than 3 times its width, what is the garden's width?

Answers

Answer:

Step-by-step explanation:

Using perimeter =2(l+b)

74=2(L+B)

From the question

Width(b)=x & length(l)=3x+5

So we have that

74 =2(3x+5+x)

Adding like terms we then have that

74 =2(4x+5)

Opening the bracket gives

74=8x +10

Collecting like terms

8x=74-10

8x= 64

Therefore

X=64/8

X=8feets

The width is 8feets

Answer:

8 feet.

Step-by-step explanation:

plug into missing values

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(b) y/3 + y/4 + y/5 = y/3 + y/4 + y/5 + 1

(c) z/3 + z/4 + z/5 = z/4 + z/5 + z/6 + 1$

Answers

For (a)
The resulting equation is
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and the solution is 0

For (b)
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47y/60 = 47y/60 + 1
which is reduced to
47y/60 - 47y/60 = 1
0 = 1 (impossible)

For (c)
The resulting equation is
47z/60 = 37z/60 + z
and the solution is 6

If x = 3 and y = -1, then 3x2 + 2xy - 5 = ?
A: 18
B: 24
C: 12
D: 16

Answers

$x = 3 , \ y = -1 \n \n 3x^2 + 2xy - 5 = 3\cdot 3^2 + 2\cdot 3\cdot (-1)-5=\n \n=3\cdot 9 -6-5=27-11=16 \n \n Answer : \ D: \ \ 16$

$3\cdot3^2+2\cdot3\cdot(-1)-5=27-6-5=16$

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