A golf course designer is creating a scale drawing of a new course on a coordinate grid and using vectors to describe the displacement from the starting point to the hole. For the first hole, the ball starts at the point (–15, –12). The first hole is at the point (–25, 6). The scale of the model is 1 unit = 20 yards. Which vector can be used to determine how far the first hole is from the starting point, and what is that length? Round the length to the nearest yard if necessary.
A. ⟨-10,18⟩; 412 yards
B. ⟨-10, 18⟩; 424 yards
C. ⟨-40, -6⟩; 809 yards
D. ⟨-40, -6⟩; 1,636 yards

Answer:

x = 5

Step-by-step explanation:

instructions in pic :)

4x - 6 = x + 9

4x - 6 - x - 9 = x + 9 - x - 9        [Subtract x + 9 from both sides]

3x - 15 = 0

3x - 15 + 15 = 0 + 15                  [Add 15 to both sides]

3x = 15

3x/3 = 15/3                                [Divide both sides by 3]

x = 5

A13x2+390x here is the answer

Answer:

x=15

Step-by-step explanation:

Simplifying

x + 30 = 3x

Reorder the terms:

30 + x = 3x

Solving

30 + x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

30 + x + -3x = 3x + -3x

Combine like terms: x + -3x = -2x

30 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0

30 + -2x = 0

Add '-30' to each side of the equation.

30 + -30 + -2x = 0 + -30

Combine like terms: 30 + -30 = 0

0 + -2x = 0 + -30

-2x = 0 + -30

Combine like terms: 0 + -30 = -30

-2x = -30

Divide each side by '-2'.

x = 15

Simplifying

x = 15

Answer:

[tex] M = \frac{e}{C^2 } [/tex]

Step-by-step explanation:

[tex]e=MC^2 \\ \frac{e}{C^2 } = M \\ \huge \red{ \boxed{M = \frac{e}{C^2 } }}[/tex]

Answer:

16

Step-by-step explanation:

15/120

2/x     (cross multiplication

Answer:

Your answer is 16 Minutes

Step-by-step explanation:

Very Easy!

15 Shapes/ 2 minutes = 120 Shapes/ X Minutes

Rearrange that, you get 15X = 240 as you cross multiplied,

240/15 = 16!

X=16!

Answer: I think it's the 2nd one

and I'm not guessing but yea it's probably the 2nd one

Step-by-step explanation:

Answer: Each pizza costed $8.25

Step-by-step explanation:

You have to divide $41.25 / 5 to find the cost of each pizza

Answer:

-1

Step-by-step explanation:

5-3(5x+2)+15x

Distribute

5 - 3*5x - 3*2 +15x

5 - 15x -6+15x

Combine like terms

5-6 -15x+15x

-1

Answer:

Step-by-step explanation:

1. 13x + 2 = 4x + 38

   9x + 2 = 38

    9x = 36

     x = 4

2. 6(2/3 + q/6 = 5/6q + 1/3)

      4 + q = 5q + 2

    4 - 4q = 2

     -4q = -2

       q = 2/4= 1/2

3. 6n + 24 = -18

    6n = -42

     n = -7

4. -11 + 3b + 15 = 7

   3b + 4 = 7

    3b = 3

    b = 1

5. 5 + 2n + 2 = 2n

   2n + 7 = 2n

   0 ≠ 7

6. 7 - 3r = r - 8  - 4r

  7 -3r = -3r - 8

  0 ≠ -15

7. 14v + 6 = 10 + 14v - 4

  14v + 6 = 14v + 6

  0 = 0

  infinitely many solutions

8. 5h - 7 = 5h - 10 + 3

   5h - 7 = 5h - 7

    0 = 0

   infinitely many solutions

9. a. 10x + 10 (triangle)

    b. 4x + 2x + 26 = 6x + 26 (rectangle)

      10x + 10 = 6x + 26

     4x + 10 = 26

     4x = 16

      x = 4

answer is A

Step-by-step explanation:

The largest artery is the aorta, the main high-pressure pipeline connected to the heart's left ventricle. The aorta branches into a network of smaller arteries that extend throughout the body. The arteries' smaller branches are called arterioles and capillaries.

Answer:

28

Step-by-step explanation:

I hope this helps!

Answer:

28!

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

5/3=x-4/2

10=x-12

x=22

Answer:

[tex]3 \frac{2}{3}[/tex]

Step-by-step explanation:

5/3 = x - 4/2

5/3 + 4/2 = x

11/3 = x

x = 3 2/3

Answer:

5⁻² = 1/25

3⁴ = 81

Step-by-step explanation:

Answer:

The ratio is 7:13

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

5.47 to the nearest tenth. Go to the next digit after tenths. It is greater than 5. So, the tenth digit is one greater. 5.5 is the answer.

The required, 5.47 rounded to the nearest tenth is 5.5.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
Rounding to the nearest tenth means finding the number that is closest to the original number but with one decimal place. In this case, the number 5.47 rounded to the nearest tenth would be 5.5.

The rounding rule is to look at the digit in the hundredth place (the digit to the right of the tenth place). If the digit is 5 or greater, we round up to the next whole number. If the digit is less than 5, we leave the number unchanged.

In this case, the digit in the hundredth place is 7, which is greater than 5. So, we round up the digit in the tenth place, making the number 5.5.

So, 5.47 rounded to the nearest tenth is 5.5.

Learn more about round the decimal here;

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Product of 2 and a number less than 1 is 2a - 1

Given:

Product of 2 and a number less than 1

Find:

Expression

Computation:

Assume;

Another number is "a"

So,

According to question:

2(a) - 1

Product of 2 and a number less than 1 = 2a - 1

Learn more about liner equation;

https://brainly.com/question/3726207?referrer=searchResults

Answer: x = 6

Step-by-step explanation:

9(8 - x) = 3x

72 -9x = 3x

add 9x to both sides

72 = 12x

divide 72 by 12

x = 6

Answer:

46%

Step-by-step explanation:

percentage=23÷50×100%

=46%

Answer:

I'm not sure but i think it's 46% of questions

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)

m = [tex]\frac{6-4}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1

Answer:I did the test and the answer is The owner should have multiplied by 1.15.

Step-by-step explanation:

Sample text

To make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.

" Percentage is defined as the hundredth part of any given number".

According to the question,

Production cost of a sweater = $10

To ensure profit , selling price = 115 percent of the production cost

(Original Cost)(Percentage)

[tex]= (10)(\frac{115}{100} )[/tex]

[tex]= $11.5[/tex]

Hence, to make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.

Learn more about percentage here

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Answer:

2760 ft^3

Step-by-step explanation:

Length * width* height

= 11*10*22

= 2420 ft^3

=7*4*10

=280 ft^3

= volume of the big cube + volume of the small cube

=2420 + 280

=2760 ft^3

Answer:

In a triangle, sum of three angles=180°

So, A+B+C=180

C=180-A-B

C=180-60-a-60+a

C=60°

Hope it helps :-)

Answer: 34 members.

Step-by-step explanation:

We have 40 members.

Only 85% of them attend the Saturday meetings.

If we have a set of N objects, and the x% of them can be calculated as:

(x%/100%)*N

Now, if we want to know the exact amount that attends the Saturday meetings, then we must compute:

(85%/100%)*40 = 0.85*40 = 34.

Answer:

Please see attached number line

The 85% corresponds with having 34 members in attending Saturday meetings

Step-by-step explanation:

The number of members in the math club at Emily's middle school = 40

The percentage of members that attend Saturday meetings = 85%

Therefore, the number of members that attend Saturday meetings is given as follows;

85% of 40 = 0.85 × 40 = 34 members

Where we have a number line graduated in percentages, we get;

Percentage of members, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

Number of members, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

Therefore, the 85% corresponds with having 34 members in attending Saturday meetings

Answer:

p = 6, q = - 1

Step-by-step explanation:

Factor the left side and compare to right side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1, since

6 × - 1 = - 6 and 6 - 1 = + 5, thus

y² + 5y - 6 = (y + 6)(y - 1)

Compare with (y + p)(y + q) , then

p = 6 and q = - 1

[tex]\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}[/tex]

[tex]\hrulefill[/tex]

We'll start with the expression for the quotient of [tex]5[/tex] and [tex]n[/tex], which means we'll use division:

[tex]\frac{5}{n}[/tex]

Now we find [tex]7[/tex] less than that, meaning we'll use subtraction:

[tex]\frac{5}{n}\bold{-7}[/tex]

Answer: m=vD

Step-by-step explanation:

To get m alone, you want to use algebraic properties.

[tex]D=\frac{m}{v}[/tex]                  [multiply both sides by v]

[tex]m=vD[/tex]    

Now that we have mass alone, we know that m=vD.

Answer:

C. x≥−32

Step-by-step explanation:

Multiply both sides by 4

Answer:

C, you have to multiple both sides. Let me know if you need it explained further.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 2 to Step 3.

This is a major error. Minus signs always create trouble.

4 - 21 = -17

To this you add 30

- 17 + 30 = 13

So the answer is sqrt(13)

Answer:

Step 3 to step 4

Answer:

work is shown and pictured