A scale drawing of a rectangular park is 5 inches wide and 7 inches ong. The actal prake is 280 yards long. What is the area of the actual park, in square yards?

[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:

y=2/3x+1/3

Step-by-step explanation:

I believe this is it if I'm not mistaken

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:

b

Step-by-step explanation:

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!

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]

Learn more about Sinusoidal function here

https://brainly.com/question/12060967

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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:

F and C

Step-by-step explanation:

None needed :)

F and C is the correct answer to the question

Answer:

Miles: 250

Cost: $87.5

Step-by-step explanation:

Plan 1: 250x0.13=32.5

32.5+55=87.5

Plan 2: 250x0.15= 37.5

37.5+50=87.5

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: $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:

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:

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

Step-by-step explanation:

2x + 3X + 65 = 180

5x = 115

x = 23

2x = 2(23) = 46

3x = 3(23)= 69

Answer:

x = 23

Step-by-step explanation:

a + b + c = 180

a = 65

b = 2x

c = 3x

65 + 2x + 3x = 180

65 + 5x = 180

-65           -65

5x = 115

x = 23

Answer:

x = 9

Step-by-step explanation:

A line with an undefined slope will be a vertical line.

This means the equation of the line will be in x = form, because the line will only go through one x value.

Since the given point has the x value of 9, this means the line will only go through that value.

So, the equation of the line will be x = 9

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.

To solve more questions on expressions, visit the link below -

brainly.com/question/14591508

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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:

0 = 0 =>  Infinitely many solutions

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first equation A.y=4x+3

Coz if u do 4(-1)+3 that =-1 and 4(0)+3=3 so therefore a is the answer

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.

the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:

24(5/6)x + 24(2) = 24(7/8)

the denominators will cancel out so you have:

4(5x) + 48 = 3(7)

do the multiplication:

20x + 48 = 21

fractions have been eliminated, and if you want to continue to solve:

20x = -27

x = -27/20

Answer:

33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

x=−5

Step-by-step explanation:

−3x+5=20

Step 1: Subtract 5 from both sides.

−3x+5−5=20−5

−3x=15

Step 2: Divide both sides by -3.

−3x/-3 = 15/-3

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{-3x + 5 = 20}\\\large\text{SUBTRACT by 5 to BOTH SIDES}}\\\large\text{-3x + 5 - 5 = 20 - 5}\\\large\text{Cancel out: 5 - 5 because that gives you 0}\\\large\text{Keep: 20 - 5 because it gives you 15 and it helps us solve for x}\\\large\text{20 - 5 = 15}\\\large\text{New equation: -3x = 15}\\\large\text{DIVIDE by -3 to BOTH SIDES}[/tex]

[tex]\bold{\dfrac{-3}{-3}=\dfrac{15}{-3}}\\\\\bold{Cancel\ out: \dfrac{-3}{-3}\ because\ it\ gives\ you\ 1}\\\\\bold{Keep: \dfrac{15}{-3}\ because\ it\ gives\ you\ x}[/tex]

[tex]\bold{x = \dfrac{15}{-3}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: x = -5}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

78

Answer:

Is that supposed to be

7 1/2? If so, answer is 8

Step-by-step explanation:

7 1/2 + 1/2=8

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).