A boat leaves a pier and travels 15 miles due east, then turns and travels 15 miles in the direction N 20 E. Which diagram represents the boats current distance x from the pier?

Answer:

Al evento entraron 82 adultos y 18 menores de edad.

Step-by-step explanation:

De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:

x+y=100 (1)

90x+45y=8190 (2), donde:

x es el número de adultos

y es el número de menores de edad

Puedes despejar x en (1):

x=100-y (3)

Después, puedes reemplazar (3) en (2):

90(100-y)+45y=8190

9000-90y+45y=8190

9000-8190=90y-45y

810=45y

y=810/45

y=18

Ahora, puedes reemplazar el valor de y en (3) para encontrar x:

x=100-y

x=100-18

x=82

De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.

Answer: The break even point is when they have sold 16 books and have made $288

Step-by-step explanation:  The costs are modeled in the equation y = 12x + 96.  x is the number of books sold.

The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96  Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve  for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288

Answer:

C = 12n + 90

Step-by-step explanation:

Answer:

its b i did this before

Step-by-step explanation:

Answer:

The answer will be C.

Step-by-step explanation:

Answer: 3 grams

Step-by-step explanation: Each distribution of food must be equal so divide food by amount of cats which is 3 to get 3

Mathmatically 9/3 = 3 grams

Answer:

2 out of 6

Step-by-step explanation:

if this is wrong try 2 out of 15

Answer:

7/10ths

Step-by-step explanation:

There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.

Answer:

The percentage is 70%.

Step-by-step explanation:

There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.

0.7 as a percentage is 70%.

So 70% of the block is shaded in.

Answer:

slope= 6.25

Step-by-step explanation:

the slope represents the meters he travels per second

Answer:

The slope is 0.16

Step-by-step explanation:

You have the run over the rise as a slope equation.

x/y or 5/31.25

The answer to that will be the answer to all of them.

5/31.25=0.16

10/62.5=0.16

15/93.75= 0.16

The rate of change(or slope) is 0.16.

The slope represents time over distance(t/d or x/y) for Oren's 100-meter race.

Answer:

The system is consistent; it has one solution ⇒ D

Step-by-step explanation:

A consistent system of equations has at least one solution

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

In the given system of equations

∵ -2y + 2x = 3 ⇒ (1)

∵ -5y + 5x = 12 ⇒ (2)

→ By comparing equations (1) and (2)

∵ -2 ≠ -5

∵ 2 ≠ 5

∵ 3 ≠ 12

→ By using the 3rd rule above

∴ The system is consistent independent and has exactly one solution

∴ The system is consistent; it has one solution

Answer:

The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.

Wavelength of light = velocity of light / frequency of light

λ = v/f

λ = Wavelength of light, meters

v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)

f = frequency of light, Hz

Step-by-step explanation:

Answer:

b.

by relation

[tex] \binom{3x \: \: - 2y \: \: 12}{4x \: \: \: \: - y \: \: \: \: \: 9} \\ eliminate \: the \: unknowns \: (x \: and \: y) \\ \binom{3 \: \: - 2 \: \: 12}{4 \: \: \: \: - 1 \: \: \: \: \: 9} [/tex]

Answer:

I this all for the question

Answer:

Answer down below Branliest Please

Step-by-step explanation:

Answer:

Geometric sequence

.Step-by-step explanation:

Geometric sequences are defined by an initial value and a common ratio . If a sequence does not have a common ratio or a common difference, it is neither an arithmetic nor a geometric sequence. You should still try to figure out the pattern and come up with a formula that describes it.

Answer: Neither

Step-by-step explanation:

Answer:

X = -5

Step-by-step explanation:

3x - 15 = -30       You want to isolate tha variable

3x= -30+15    Add 15 to -15 in order to get rid of it. All you do to one side you do to the other, so you add 15 to 30

3x= -15    

x= -15÷3   Divide x by 3 in order to get rid of the 3. Do it to the other side

x=-5  

Answer:

8502

Step-by-step explanation:

45930+34729+835029=347230

Answer:

$5.81

Step-by-step explanation:

15.50-9.69=5.81

Answer:

$5.81

Step-by-step explanation:

Subtract. Hope this helped you!! Do you have a calculator

Answer:

y=-2x+6

Step-by-step explanation:

Answer:

a 49/64

Step-by-step explanation:

7/8 multiply 7 ×7 = 49 then 8×8 is 64 so yeah a

Change Y to 0.

y=8x+21

0=8x+21

-8x=21

[tex]x=\frac{21}{-8\\}[/tex]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : [tex]a=-2[/tex]

Common difference : [tex]d = 5 - (-2)[/tex]

                                      [tex]= 5 + 2[/tex]

                                      [tex]= 7[/tex]

nth term of an A.P. is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

[tex]a_n=-2+(n-1)(7)[/tex]

According to the equation, [tex]a_n>200[/tex].

[tex]-2+(n-1)(7)>200[/tex]

[tex](n-1)(7)>200+2[/tex]

[tex](n-1)(7)>202[/tex]

Divide both sides by 7.

[tex](n-1)>28.857[/tex]

Add 1 on both sides.

[tex]n>29.857[/tex]

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Substituting n=30, a=-2 and d=7, we get

[tex]S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7][/tex]

[tex]S_{30}=15[-4+(29)7][/tex]

[tex]S_{30}=15[-4+203][/tex]

[tex]S_{30}=15(199)[/tex]

[tex]S_{30}=2985[/tex]

Therefore, the sum of all the terms in the progression is 2985.

Answer:

[tex]f(-10)=186[/tex]

Step-by-step explanation:

We can use substitution to find the value of [tex]f(-10)[/tex].

[tex]f(x) = 2x^2+x-4[/tex]

[tex]f(-10) = 2(-10)^2-10-4[/tex]

[tex]=200-10-4[/tex]

[tex]=186[/tex]

∴ [tex]f(-10) =186[/tex]

Hope this helps :)

Answer:

The value of f(-10) is equal to 186.

Step-by-step explanation:

We are given the function:

[tex]f(x) = 2x^2 + x - 4[/tex]

We are told to find the value of:

[tex]f(-10)[/tex]

If we pay close attention, we can see a transition between:

[tex]f(x) \rightarrow f(-10)[/tex]

We have turned x into -10, making x = -10.

Therefore, we can change the value of x in the entire function to -10.

[tex]f(-10)=2(-10)^2+(-10) - 4\\\\f(-10) = 200 - 10 - 4\\\\f(-10) = 186[/tex]

Therefore, f(-10) = 186.

Answer: (-9,-1)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Already done this

Answer:

50

Step-by-step explanation:

i just simplified the expression

Answer:

1.) slope = 2

2.) slope = [tex]-2\frac{2}{3}[/tex]

3.) slope = [tex]\frac{2}{3}[/tex]

4.) slope = [tex]\frac{1}{4}[/tex]

5.) slope = [tex]1\frac{8}{9}[/tex]

6.) slope = -2

7.) slope = -3

Step-by-step explanation:

In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.

Now as I said before we know this......

Let "m" be the slope, then....

[tex]m = \frac{y}{x}[/tex]

So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.

1.)

[tex]m = \frac{y}{x}[/tex]

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

[tex]m = 2[/tex]

2.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{4}{-1.5}[/tex]

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

3.)

[tex]m = \frac{y}{x}[/tex]

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

4.)

[tex]m = \frac{y}{x}[/tex]

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

5.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{8.5}{4.5}[/tex]

[tex]m = 1\frac{8}{9}[/tex]

6.)

[tex]m = \frac{y}{x}[/tex]

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

[tex]m= -2[/tex]

7.)

[tex]m = \frac{y}{x}[/tex]

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

[tex]m = -3[/tex]

Answer:

Step-by-step explanation:

Given system of equations

Solving as follows:

Simplify the second equation by dividing all terms by 3

Now, considering the coefficient of x of 5 in the first equation, we will multiply the simplified second equation by 5 and subtract from the first equation:

Subtract it from 5x + 4y = 2

Finding x using simplified second equation:

Answer is (6, -7)