Shelly is hiking alongs a 20 miles trail in the mountains. She had already traveled 8 miles and is walking at 3 miles per hour. How long will it take to reach the end of the trail


Write and equation with x as the number of hours it will take to reach the end.

How many hours will it take for Shelly to reach the end of the hiking trail?

Answer:

1)x-y>7

x>7+y

x-7=y

y =7

If it has to be at least 7 then 7 is less than all of them or equal to it.

2) Step 1: Always start by isolating the variable y on the left side of the inequality.

Step 2: Change the inequality to equality symbol. ...

Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane. ...

Step 4: The last step is to shade one side or region of the boundary line.

3) The solution graph is y=7 because there is no possible x or x=0

you can find  a point in an inequality in the shaded region of the graph. Any of the points in the shaded region work as a solution of the inequality

Hope I helped!!

Answer:

1. Slope: 2     y-intercept: (0,−10)

2. Slope: 3  y-intercept: (0,12)

Step-by-step explanation:

Step-by-step explanation:

davis is right.

Answer:

35

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Just simplify the expression and you'll get:  

35

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You might be wondering why isn't the answer 0, since anything multiplied by 0 is 0.

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It's because to answer this question, you will need to use PEMDAS.

P, Parenthesis.

E, Exponents.

M, Multiply.

D, Divide.

A, Addition.

S, Subtraction.

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Since we don't have parenthesis, exponents, a division sign, or subtraction sign.

All we need to do is Mutiply, and Add.

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First we multiply, because of the PEMDAS order.

7 * 0 = 0

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Then, since we used one of the 7's to multiply. (The one next to the 0)

We add the rest of them, not including the last seven.

There are six, sevens.

But we already used one.

So we will add only the other five.

7 + 7 + 7 + 7 + 7 = 35.

7 * 5 = 35

~

And that's it.

You got your answer, 35.

Answer:

y=−2/5x+4/5y

Step-by-step explanation:

Hope's this helps

Answer:

8

Step-by-step explanation:

from A to B it's 8 units long

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) [tex]\sqrt{32} = 2^{\frac{5}{2} }[/tex]

[tex]2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}[/tex]

Thus, the equation is TRUE.

(2) [tex]16^{\frac{3}{8} } = 8^2[/tex]

[tex]16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64[/tex]

Thus, the equation is FALSE.

(3) [tex]4^{\frac{1}{2} } = \sqrt[4]{64}[/tex]

[tex]4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}[/tex]

Thus, the equation is FALSE.

(4) [tex]2^8 = (\sqrt[3]{16} )^6[/tex]

[tex]2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256[/tex]

Thus, the equation is TRUE.

(5) [tex](\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\[/tex]

[tex]8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4[/tex]

Thus, the equation is FALSE.

Answer:

19 by 38

Step-by-step explanation:

The area of the poster, A=xy

Margin at both up and bottom is 2inches, at the right and left is 1 inch

Then we can say

(x-4)(y-2)= 578

Let us make y subject of the formula

(y-2)= 578/(x-4)

y=[ 578/(x-4)] + 2

If we substitute into the area A equation we have

A= x { [ 578/(x-4)] + 2}

A= 2x + (578x)/(x - 4)

If we differentiate we have

A'(x)= [2+578(x-4)+578x ]/ (x-4)^2

=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2

=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2

If we simplify this we have

=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2

=( 2x^2 -16x - 2312) / (x-4)^2

At A'(x)= 0

= ( x^2 - 8x - 2312) / (x-4)^ =0

If we divide through by 2 we have

x^2 - 8x - 1156= 0

Solving the quadratic eqn( CHECK THE ATTACHMENT)

X= 38 or -30 then we choose the positive one, then x= 38

Then from area of the poster

A= (x-4)(y-2)= 578

Substitute 38 as value of x

(38-4)(y-2)= 578

34(y-2)=578

34y-68=578

34y=646

y=19

Hence dimensions of the poster is 19 by 38

CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION

Answer:

280

Step-by-step explanation:

subtract

Answer:300

Step-by-step explanation:

Answer:

His weekly allowance is $5.50.

Step-by-step explanation:

12.03 - 6.53 = $5.50

I'm not 100% sure this is accurate. Good Luck!

Answer:

I have no idea

Step-by-step explanation:

Answer:

[tex]1\frac{1}{4} c[/tex]

Step-by-step explanation:

[tex]c+\frac{1}{4}c[/tex]

Rewrite the expression

[tex]= 1c+\frac{1}{4} c[/tex]

Add

[tex]= 1\frac{1}{4} c[/tex]

Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].

I hope this helps!

Answer:

The first answer, 3 times the square root of x squared is correct.

Answer:

0.156

Step-by-step explanation:

Answer:

5/32

Step-by-step explanation:

[tex] \frac{5}{8} \div 4 \\ \\ = \frac{5}{8} \times \frac{1}{4} \\ \\ = \frac{5 \times 1}{8 \times 4} \\ \\ = \frac{5}{32} [/tex]

Answer:

E, the heart

Step-by-step explanation:

Answer:

The heart

Step-by-step explanation:

It is able to flip and still look the same

Answer:

33.8

Step-by-step explanation:

33.8 is the closest to half of 65.

9514 1404 393

Answer:

  125

Step-by-step explanation:

The proportion you want is ...

  [tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]

52% of 125 is 65.

__

Comment on the formulation

You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...

  whole/part = 100/52 = ?/65

Then the solution is one step: multiply by 65.

Answer:

296 cm

Step-by-step explanation:

Joanna is 152cm tall

Kristal is 152 - 8 =  144 cm

The sum of the heights is

152 + 144 =296 cm

Answer:

D. 44 because its the primemiter

Answer:

Not enough data

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

2.25 should be the right answer

Answer:

option c ) y = 3x -2

given, y=10 & x=4

let's equate in equation

y = 3x -2

LHS = Y = 10 ( given )

RHS = 3X -2 = 3(4)-2

= 12-2

= 10

SO, LHS = RHS

hence , SATISFIED ✔️

we end here ^^"

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Answer:

21

Step-by-step explanation:

this requires practical assumption.

take 9 for example

5 more than 9 means 9 - 5 = 4

4 is a square number

21 = 21 - 5 = 16

16 is a square number

34 = 34 - 5 = 29

29 is not a square number

35 = 35 - 5 = 30

30 is not a square number

65 = 65 - 5 = 60

60 is not a square number

76 = 76 - 5 = 71

71 is not a square number

Answer:

it would be A 160

Step-by-step explanation:

4 square plus + 12 square = 16+144=160

Answer:

the final amount is 1,135

Step-by-step explanation:

The computation of the final amount is shown below:

= Amount × (1 + increased percentage)

= 1102 × (1 + 0.02)

= 1102 × 1.02

= 1124.04

Now the additional one percent increase is

= 1,124.04 × 1.01

= 1,135

Hence, the final amount is 1,135

The same is to be considered