You and a friend walk away from a tree in opposite directions each traveling 15 yards. You were walking due east and then turned toward 45 degrees north and walked 8 yards. Your friend was walking due west and turned 40 degrees south and walked 8 yards. Who is further from the tree

Answer:

5.1* 10-¹

Hope it helps thank you

Answer:

5.1 x 10^-1

Step-by-step explanation:

Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.

Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.

Answer:

Is that supposed to be

7 1/2? If so, answer is 8

Step-by-step explanation:

7 1/2 + 1/2=8

Answer:

$30

Step-by-step explanation:

To find the cost, plug in 10 for x, then simplify

1.5x + 15

1.5(10) + 15

= 30

So, it will cost Johnny $30 to download 10 songs

The total amount of money that Johnny will have to pay is f(10) = 30.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is that it costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression →

1.5(x) + 15.

The expression is given by -

f(x) = 1.5(x) + 15

where [x] is the number of songs downloaded.

For [x] = 10 songs, the total amount of money that Johnny will have to pay is -

f(10) = 1.5 x 10 + 15

f(10) = 15 + 15

f(10) = 30

Therefore, the total amount of money that Johnny will have to pay is f(10) = 30.

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Answer:

y=2/3x+1/3

Step-by-step explanation:

I believe this is it if I'm not mistaken

Answer:

33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

F and C

Step-by-step explanation:

None needed :)

F and C is the correct answer to the question

Answer:

Step-by-step explanation:

78

Answer:

There is no solution

Step-by-step explanation:

Given the rational equation 2x^2 + 1/x-1 + x = 3 + 3/x -1

We are to find the value of x

Collect like terms

2x²+x-3 = 3/x-1 - 1/x-1

2x²+x-3 = 2/x-1

Cross multiply

(2x²+x-3) (x-1) = 2

2x³-2x²+x²-x-3x+3-2 = 0

2x³-x²-4x+1 = 0

Since we cannot factor the polynomial, hence there is no solution

Answer:

Step-by-step explanation:

to buy a monthly pass

Answer:

6 days. please see the pic including proof check for 5 day vs 6 day. hope it helps.

Answer:

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

As per above info we get following equations:

Substitute s and solve for d:

Get rid of fraction by multiplying all terms by 3d(d + 2):

Find s:

The answer is

Answer:

b

Step-by-step explanation:

[tex] \tt \dashrightarrow 0.75 \times 108[/tex]

[tex] \tt \dashrightarrow \dfrac{75}{100} \times 108[/tex]

[tex] \tt \dashrightarrow \cancel{\dfrac{75}{100}} \times 108[/tex]

[tex] \tt \dashrightarrow \dfrac{3}{4} \times 108[/tex]

[tex] \tt \dashrightarrow \dfrac{3}{\cancel{4}} \times \cancel{108}[/tex]

[tex] \tt \dashrightarrow 3 \times 27[/tex]

[tex] \tt \dashrightarrow 81[/tex]

Hence, answer is 81.

Answer:

80p

if you are adding 4p every time you add a drink you will be adding 7  drinks therefore you have to do (7x4p) this will equal 28p then you have to add 28p to 52p

Hope this helps

Answer:

0 = 0 =>  Infinitely many solutions

Step-by-step explanation:

Answer:

The unit rate for a distance of one meter is 0.0958.

Step-by-step explanation:

100/9.58

1/X

To find x, you do what you did you get 1! Divide by 100. 9.58 divided by 100 is equal to 0.0958.

Now for the chart:

50/4.79

100/9.58

250/23.95

400/38.32

Hope this helps!

Answer: $800

Step-by-step explanation:

N invests $1,000, X invests $2,000, Y invests $3,000 and Z invests $4,000. This in the ratio of 1:2:3:4.

If the profits for the first month were $2,000, the amount received by Z will be:

= 4/(1+2+3+4) × $2000

= 4/10 × $2000

= 4 × $200

= $800

Answer:

y=1/2 +1.5

Step-by-step explanation:

y intercept = 1.5

gradient = rise over run = 1/2

y = 1/2 +1.5

Answer:

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] when [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the y-coordinate of the point where the line crosses the y-axis)

1) Find the slope ([tex]m[/tex])

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We can use any two points on the line to plug into this equation, but it's often easiest to use points that have whole-number coordinates. For example, we can use the points (1,-1) and (3,0).

[tex]m=\frac{0-(-1)}{3-1}[/tex]

Two negatives make a positive

[tex]m=\frac{0+1}{3-1}\\m=\frac{1}{2}[/tex]

So far, our equation looks like this:

[tex]y=\frac{1}{2}x+b[/tex]

2) Find the y-intercept ([tex]b[/tex])

We're told to approximate the y-intercept based on what appears to be true in the graph. In the graph, we can see that the y-intercept appears to occur when y=-1.5, or when y=[tex]-\frac{3}{2}[/tex]. Therefore, [tex]b=\frac{-3}{2}[/tex].

Now, after plugging both [tex]m[/tex] and [tex]b[/tex] into our equation, our final equation looks like this:

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

I hope this helps!

Given:

Joe has $173 in the bank.

He puts 7 weeks earning in the banks.

Now joe has $208 in the bank.

To find:

How much money does joe earn each week?

Solution:

Let x be the same amount of money each week for 7 weeks and puts this money in the bank.

Total earning in 7 weeks = 7x

Total amount of money in bank = Initial amount + 7 Weeks earning

[tex]208=173+7x[/tex]

[tex]208-173=7x[/tex]

[tex]35=7x[/tex]

Divide both sides by 7.

[tex]\dfrac{35}{7}=x[/tex]

[tex]5=x[/tex]

Therefore, joe earns $4 each week.

Answer:

2(9+h)

Step-by-step explanation:

2(h+9)

2h+18

where else

2(9+h)

18+2h or 2h+18

9514 1404 393

Answer:

  (x, y) = (5, 6)

Step-by-step explanation:

When you have two equations in "y = ..." form, you can equate the two expressions for y.

  y = 2x -4

  y = x +1  . . . . . both are given

__

Equating y to itself, we have ...

  y = y

  2x -4 = x +1 . . . . . substitute the given expressions

  x = 5 . . . . . . . . . . add 4-x to both sides

Then either equation can be used to find y:

  y = x +1 = 5 +1 = 6

The solution is (x, y) = (5, 6).

Answer:

there will be 4 cornered shapes 1 rectangle that is almost a square and the shape I Forgot TvT

Answer:

Draw a vertical line to divide the shape into a rectangle and a trapezoid. Then draw a horizontal line to split the trapezoid into a rectangle and a triangle.

Step-by-step explanation:

Answer:

Slope is 4/5

Step-by-step explanation:

The two points are (3,3) and (-2,-1)

The slope formula is Y2-y1 / x2-x1

So substituting in

-1-3/ -2 -3

-4/-5 = 4/5

You can check it by "walking" up 5 and over to the right 4 on the graph and see that it works.

Answer:

f(x)=-5sin (1/3x)-2

Step-by-step explanation:

The formula of the function, where x is entered in radians is f(x) =  [tex]5sin(\frac{\pi x}{2})-2[/tex]

A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function

Given,

Midline is at (0,-2)

minimum point at [tex](\frac{3\pi }{2},-7)[/tex]

Therefore, the function is line with amplitude = -2-(-7)=5

No phase shift as intersection at 0.

Vertical shift is -2

Then,

f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

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Answer:HMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM

Step-by-step explanation:

never saw that before