Distribute the negative sign: -(x - 6y)

Answer:

College town race is 31% of the home town race.

Step-by-step explanation:

Length of hometown race = 3 miles

Length of college town race = 1492 meters

Since 1 meter = 0.0006214 miles

Therefore, 1492 = 0.93 miles

Percentage of college town race to the hometown race,

= [tex]\frac{\text{College town race}}{\text{Home town race}}\times 100[/tex]

= [tex]\frac{0.93}{3}\times 100[/tex]

= 31%

Therefore, the college town race is 31% of the home town race.

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Step 1:

33 + 21 + 3 - 5

Step 2:

54 + 3 - 5

Step 3:

57 - 5

Answer:

52

Hope This Helps :)

Answer:

GH = 6.3 units

Step-by-step explanation:

Assuming that 1 box represents 1 unit, the coordinate pair of G = (-2, -3), while H = (0, 3).

Distance between G and H = [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] G(-2, -3) = (x_1, y_1) [/tex]

[tex] H(0, 3) = (x_2, y_2) [/tex]

[tex] GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2} [/tex]

[tex] GH = \sqrt{(2)^2 + (6)^2} [/tex]

[tex] GH = \sqrt{4 + 36} = \sqrt{40} [/tex]

[tex] GH = 6.3 units [/tex] (nearest tenth)

Use slope-intercept equation form: [tex]y=mx+b[/tex]

We know that the slope is 9/2

[tex]y=\frac{9}{2}[/tex]

[tex]y=\frac{9}{2}x+b[/tex]

To solve for b, we can plug in the point given, since it's on the line.

[tex]-\frac{13}{2}=\frac{9}{2}(0)+b[/tex]

[tex]b=-\frac{13}{2}[/tex]

So the equation is: [tex]y=\frac{9}{2}-\frac{13}{2}[/tex]

頑張って!

Answer:

50/50

Step-by-step explanation:

there are only two sides so they both get 50 percent

Answer: 1 in 2 chance

Step-by-step explanation: because there are only 2 sides and can only land on one side

The number of possible arrangements of pictures she can hang on her wall is 120.

The number of possible arrangements can be determined by dividing the factorial of 6 by the factorial of 3.

Number of possible arrangements = 6! / 3!

( 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 6 x 5 x 4 = 120

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Answer:

the correct answer is

{2,3,6,7,14,21,}

Answer:

The general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Step-by-step explanation:

Since the differential equation is given as y'(t) = 3y -5

The differential equation is re-written as

dy/dt = 3y - 5

separating the variables, we have

dy/(3y - 5) = dt

dy/(3y - 5) = dt

integrating both sides, we have

∫dy/(3y - 5) = ∫dt

∫3dy/[3(3y - 5)] = ∫dt

(1/3)∫3dy/(3y - 5) = ∫dt

(1/3)㏑(3y - 5) = t + C

㏑(3y - 5) = 3t + 3C

taking exponents of both sides, we have

exp[㏑(3y - 5)] = exp(3t + 3C)

3y - 5 = [tex]e^{3t}e^{3C}[/tex]        

3y - 5 = [tex]Ae^{3t}[/tex]                [tex]A = e^{3C}[/tex]

3y = [tex]Ae^{3t}[/tex] + 5    

dividing through by 3, we have

y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

So, the general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Answer:

5+0.10d

Step-by-step explanation:

A five dollar bill is worth $5 and a dime is worth 10 cents, or a tenth of a dollar. To find the value of the money take the sum of the value of the bill and the number of dimes (d) times the value of each dime. You will get $5+0.10d.

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Answer:

Understgand what?

Step-by-step explanation:

Answer:

whats your question?

Step-by-step explanation:

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

When given the slope and a point and we are asked to find the equation of the line, we can use the point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:

[tex]y-1=2(x-2)[/tex]

Distribute the right:

[tex]y-1=2x-4[/tex]

Add 1 to both sides:

[tex]y=2x-3[/tex]

And that's our equation.

And we're done!

Answer:

28

Step-by-step explanation: USE PEDMAS  

2[(62-52)+4] = 2[(10)+4]= 2[14]=28

Answer:

1.10

Step-by-step explanation:

that's your answer

The location of the tug boat relative to the port will be 30.83 miles.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angles of right-angle triangles.

The distance of ship A from the port is x

X²= 18²+30²

X²= 324+900

X²=1224

X=34.9857 miles

Bearing from port:-

Tanθ= 18/30

θ = tan^-1 3/5

θ= 31°

N 31° E

The distance of ship B from the port is y.

Y²= 27²+10²

Y²= 729+100

Y²= 829

Y=28.7924 miles

Bearing from port:-

Tanθ = 2.2

θ = 69.7°

90-69.7= 20.3

N 20.3°W

The distance between the two ships is z.

Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)

Z²= 2053+267.1

Z²= 2320.1

Z=48.18 miles

One-fifth of 48.18

=9.63 miles

The distance of the boat is D.

D/sin 60 = 34.9857/sin 100.7

D=30.83 miles

Therefore, the location of the tug boat relative to the port will be 30.83 miles.

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Answer:

g = 0.83

Step-by-step explanation:

11(15g-13) =-6

165g - 143 = -6

165g = 137

165      165

g = 0.83

The solution of the given equation 11(15g-13) = -6 is g = 0.83

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

11(15g-13) = -6

To solve the above equation following steps are taken,

Divide both the side of the equation by 11

11(15g-13)/11 = -6/11

Solving them we get,

15g - 13 = -6/11

Adding 13 both the sides,

15g - 13 + 13 = -6/11 + 13

So we obtain,
15g  = -6/11 + 13

Solving the numbers right hand side,we get

15g = 137/11

Dividing both the sides by 15 we get,

g = 137/165

or, g = 0.83

Hence,The solution of the given equation 11(15g-13) = -6 is g = 0.83

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Answer:

They would need 8 tables.

Step-by-step explanation:

if there is 6 students on one table

6. 6. 6. 6+6+6+6+6+6+6+6= 48

6. 6. 6×8= 48 students

6. 6. 6.

this is the answer hope this will help u

Answer:

k=3

Step-by-step explanation:

just did it

Answer:

the absolute value of 9 is 9

Answer:

5 Fahrenheit

Step-by-step explanation:

In the morning, it was 1 below zero. Subtract.

0 - 1 = -1.

Then, it went up 12 degrees.

-1 + 12 = -11.

In the evening, it went down -6.

11 - 6 = 5.

The answer is 5.

Answer:

rrrrrrrrrrrtuuuuuuuuuuuuuuuuu

Step-by-step explanation:

When the base and the height of a triangle are the same. the hypotenuse is that number times sqrt2.

B and C are 7, so a would also be 7

Answer:

They picked 126 apples

Step-by-step explanation:

Because 1 large bag holds 14 apples, and 9 large bags were filled, you would need to multiply 14 by 9. 14 multiplied by 9 equals 126

Answer:

-42

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

(-6)(-7)(-1)

Step 2: Multiply -6 and -7 together

(-6)(-7) = 42

Step 3: Multiply 42 and -1 together

42(-1) = -42

Answer:  The height of the stuffed toy canary is 18 inches so Jesus is right.

Step-by-step explanation:

We can represent the first statement by the equation  22= 2x - 14    where x is the height of the stuffed toy canary  so solve for x

22 = 2x -14   Add 14 to both sides

+14          +14

36 = 2x       Divide both sides by 2

x = 18  

Jesus is right.

Answer:

23

Step-by-step explanation:

9+4x4-2

9+16-2

9+16-2

23

Answer:

23

Step-by-step explanation:

3 ^ 2 = 9

6 - 2 = 4

4 * 4 = 16

16 + 9 = 25

6/3/ = 2

25 - 2 = 23

Answer:

ok

Step-by-step explanation:

" a difference " means subtract

5y - 7......u have 2 terms (5y and 7)...and it is the difference of 2 terms.

so ur answer is : 5y - 7

pls mark me as brilliant

Answer:

20=n

Step-by-step explanation:

Take 385 and subtract 85. You get 300. Divide 300 by 15n. You get 20.

20=n

If you want to double check, replace n with 20 so the equation is

C=(15x20)+85

Hope I help!