After traveling 345 miles, the Johnston family stopped at a rest stop for lunch. Looking at the map, they realized they had completed 3/5 of the trip. If d represents the total distance in miles, which equation can be used to find d?

A. 3/5 divided by d = 345
B. 3/5 x d = 345
C. 345 x d = 3/5
D. 345 divided by d = 5/3

Answer:

x=19

Step-by-step explanation:

14x-43=71+8x         problem

14x=114+8x           add 43 to both sides

6x=114              subtract 8x from both sides

x=19                 divide by 6 to both sides (114/6 =19) x=19

Answer:

decimal form: 7.46410161 or the exact form: x = 4 + 2 √ 3

Step-by-step explanation:

Answer:

4 + 2√3

Step-by-step explanation:

x - 2 = √4x

Domain: √4x ≥ 0 ⇒ x - 2 ≥ 0 ⇒ x ≥ 2

(x - 2)² = (√4x)²

x² - 4x + 4 = 4x

x² - 8x + 4 = 0

D = (- 8)² - 4(1)(4) = 48 = (4√3)²

[tex]x_{1}[/tex] = [tex]\frac{8+4\sqrt{3} }{2}[/tex] = 4 + 2√3 ≈ 7.4641

[tex]x_{2}[/tex] = [tex]\frac{8-4\sqrt{3} }{2}[/tex] = 4 - 2√3 ≈ 0.5359 < 2 ⇒ [tex]x_{2}[/tex] is extraneous root

Answer:

Absolute change = 7.4 million

Relative change percentage = 85.1%

Step-by-step explanation:

Given that:

Number of refugees in 2005 = 8.7 million

Number of refugees in 2015 = 16.1 million

The absolute change :

(Number of refugees in 2015 - number of refugees in 2005)

(16.1 million - 8.7 million) = 7.4 million refugees

The relative change in the number of refugees :

((Number of refugees in 2015 - number of refugees in 2005) / number in 2005) * 100%

[(16.1 - 8.7) / 8.7] * 100%

(7.4 / 8.7) * 100%

0.8505747 * 100%

= 85.057%

= 85.1%

Answer:

My guess would be that the slope is -3

Step-by-step explanation:

Based on what I was taught, I would use the formula y2-y1/x2-x1

-7 - 2

---------- = -3

-3 - (-6)

38.88 is the correct answer

i have the answer below i got 100%

Answer:

90 minutes

Step-by-step explanation:

In order to calculate a percentage of the minutes of video we simply need to divide the percentage by 100 and then multiply that value by the total number of minutes that the flash drive can hold. Since we are given this total number of minutes then we can simply plug it in and solve for x which represents the percentage of memory used in minutes.

x = 200 * (45 / 100)

x = 200 * 0.45

x = 90 minutes

Therefore, Kenzie has already used 90 minutes of video on the flash drive.

Answer:

9/10

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

right on EDG2020 trust me:P

Answer:

Length of side e is 4.12

Length of side f is 4.24

The length of side f is larger than length of side e

Step-by-step explanation:

We are given two line segments e and f. We need to find lengths of both e and f and determine which is larger.

We can use distance formula to calculate lengths of line segments.

The Distance Formula is: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Finding length of side e:

We are given points (-2,3) and (-1,-1)

here we have [tex]x_1=-2, y_1=3, x_2=-1 , y_2=-1[/tex]

Putting values in distance formula and finding length

[tex]Length \ of \ side \ e= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ e= \sqrt{((-1)-(-2))^2+(-1-(3))^2}\\Length \ of \ side \ e= \sqrt{(-1+2)^2+(-1-3)^2}\\Length \ of \ side \ e= \sqrt{(1)^2+(-4)^2}\\Length \ of \ side \ e= \sqrt{1+16}\\Length \ of \ side \ e= \sqrt{17}\\Length \ of \ side \ e= 4.12[/tex]

So, Length of side e is 4.12

Finding length of side f:

We are given points (2,2) and (-1,-1)

here we have [tex]x_1=2, y_1=2, x_2=-1 , y_2=-1[/tex]

Putting values in distance formula and finding length

[tex]Length \ of \ side \ f= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ f= \sqrt{((-1)-(2))^2+(-1-(2))^2}\\Length \ of \ side \ f= \sqrt{(-1-2)^2+(-1-2)^2}\\Length \ of \ side \ f= \sqrt{(-3)^2+(-3)^2}\\Length \ of \ side \ f= \sqrt{9+9}\\Length \ of \ side \ f= \sqrt{18}\\Length \ of \ side \ f= 4.24[/tex]

So, Length of side f is 4.24

The length of side f is larger than length of side e

Answer 5/3

Explanation

Slope formula   m = y2 - y1  - Rise

                                x2 - x1   - Run          

10 - 5  =    5

6-3     =     3  

I know this is correct. I am not sure why this isn't one of the answers.

Answer:

15% is reduced

Step-by-step explanation:

I always start by finding what 10% and 5% is, after that, I try to see how I can make that into the number subtracted and for this it happened to be 15% I found that 10% was 14,400 and 5% was 7,200 and I found the total amount reduced was 21,600 which is 14,400+7,200 or 10%+5%

Answer:

45.88 seconds

Step-by-step explanation:

[tex]t_1[/tex] = Time taken to sing the fist time = [tex]48.7\ \text{s}[/tex]

Time taken to sing the second time was [tex]2.9\ \text{s}[/tex] less than the first time so

[tex]t_2=t_1-2.9\\\Rightarrow t_2=48.7-2.9\\\Rightarrow t_2=45.8\ \text{s}[/tex]

Time taken to sing the third time was [tex]0.47\ \text{s}[/tex] less than the the second time

[tex]t_3=t_2-0.47\\\Rightarrow t_3=45.8-0.47\\\Rightarrow t_3=45.88\ \text{s}[/tex]

So the time it took the choir to sing the third time was 45.88 seconds.

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

[tex]x+114=180[/tex]

Subtract 114 from both sides to isolate x:

[tex]x+114-114=180-114\\\\x=66[/tex]

The value of x is 66°.

:Done

Answer:

∠ 2 = 70°

Step-by-step explanation:

110° and ∠ 1 are corresponding angles and congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°

Answer:

A

Step-by-step explanation:

I included the steps in the picture I attached. lmk if you need me to explain more

Answer:

43.43/43

Step-by-step explanation:

Answer:

C. I think I'm not sure

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

-6*+12=-72

because - x + = -

Answer:

-72

Step-by-step explanation:

6×-12

-72 (because a×-a=-a)

Answer:

I think it is -1

Step-by-step explanation:

Simplify the problem first.

Let's start with the numerator.

FYI, this, ^, means raised to the power of.

4^3 = 64

-12 + 2^2 = -12 +4 which equals -8

64/-8 = -8

Now simplify the denominator.

(2*3)^2 = 6^2 which equals 36.

-5*2*3 = -10*3 which equals -30

Then add the 2 to the end.

36 + (-30) + 2 = 6 + 2 which equals 8. This is the denominator.

Your fraction now is:

-8/8

Simplify this and you will get -1 as the simplest form.

Please forgive me if this is incorrect.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

A suitable calculator can find the value for you.

  [tex]\dfrac{4^3/(-12+2^2)}{(2\times3)^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{6^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{36+(-5\times2\times3)+2}\\\\=\dfrac{64/(-8)}{36+(-30)+2}=\dfrac{-8}{6+2}=\boxed{-1}[/tex]

Answer:

D

Step-by-step explanation:

Midpoint Formula:

[tex]\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}[/tex]

[tex]\frac{3+1}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒ [tex]2[/tex]

[tex]\frac{8+-4}{2}[/tex] ⇒ [tex]\frac{8-4}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒[tex]2[/tex]

[tex](2,2)[/tex]

Hello There this is your answer

and hope you a GREAT Thanksgiving :)

F ( X ) = 9

Answer:

18.75 feet

Step-by-step explanation:

Step 1

we find the length of Philip's rectangular deck in yards

The ratio of the width to the length is 4 to 5.

Philip's rectangular deck is 5 yards wide.

Hence,

Hence:

4/5 = 5/x

Cross Multiply

4x = 5 × 5

4x = 25

x = 25/4

x = 6.25 yards

The length of Philip's field = 6.25 yards

Hint: 1 yard = 3 feet.

Converting the yard to feet

1 yard = 3 feet

6.25 yards = x

Cross Multiply

x = 6.25 × 3 feet

x = 18.75 feet

Therefore, the length of Philip's field in feet = 18.75 feet

Answer:

B

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

Angle 1 is a vertical angle to 60° by the definition of a vertical angle.

Answer:

∠1 = 60°

Step-by-step explanation:

Answer:

13.5 units^2

27/2 units^2

Step-by-step explanation:

multiply 27/5 and 5/2

the fives cancel out so you are left with 27/2 so the volume is 13.5 units^2 or 27/2 units^2

Answer:

Radius is half the diameter of a circle

Step-by-step explanation:

If the diameter was 6, then the radius is 3

Answer:

434.60

Step-by-step explanation: