Heather wants to purchase an electronic guitar. The price of the guitar with tax is $2,420. If she can save $90 per month, how long will it take her to save up for the guitar?

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

Answer:

Volume is 285

Step-by-step explanation:

We start by calculating the area of the base

Mathematically, we have a rectangle as the base

So, the area of the base will be;

3.75 * 8 = 30

We now multiply this by the height to get the volume

we have this as:

30 * 9.5 = 285

Answer:

A, C and D

Step-by-step explanation:

both A, C and D are both porportions because they both equal the other fraction.

Answer:

1, 3, 4

Step-by-step explanation:

i had this on my test- im doing it rn.

Answer:

2/35

Step-by-step explanation:

total of 15 books

P(Adv,Hist) = 3/15 · 4/14  =  1/5 · 2/7  =  2/35

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

Answer:

OH OKK NICE TELLING ME

Step-by-step explanation:

Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

Answer:

no solution

Step-by-step explanation:

Given

- 2(v - 2) = - 3 - 2v ← distribute left side

- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )

- 2v = - 7 - 2v ( add 2v to both sides )

0 = - 7 ← not possible

This indicates the equation has no solution

Answer:

15

Step-by-step explanation:

To find the y-intercept, just set the x value to 0:

[tex]y=0^2+0x+15=15[/tex]

Hey there!

The answer to your question is [tex]95.55[/tex]

Formulas:

Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]

Area of rectangle = [tex]lw[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

Now solve:

semi-circle

[tex]\frac{1}{2}\pi3^2[/tex]

[tex]\frac{1}{2}\pi9[/tex]

[tex]4.5\pi[/tex]

(We will use 3.14 as approx. for pi)

[tex]4.5 * 3.14\\23.55[/tex]

rectangle

[tex]10(6)\\60[/tex]

triangle

[tex]\frac{4(6)}{2}[/tex]

[tex]\frac{24}{2} \\12[/tex]

Now add them all together:

[tex]23.55+60+12\\95.55[/tex]

Have a terrificly amazing day!

Answer:

y - 8 = (-1/27)(x + 3)

Step-by-step explanation:

the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27.  Using the point-slope form  y - k =m(x - h)  to write the new equation, we get:

y - 8 = (-1/27)(x + 3)

Answer:

−4+y

Step-by-step explanation:

3+(−7+y)

Subtract 7 from 3 to get −4.

−4+y

Answer: b = 3

Step-by-step explanation:

1. a^2 + b^2 = c^2

2. 1.6^2 + b^2 = 3.4^2

3. 2.56 + b^2 = 11.56

4. 11.56-2.56 = b^2

5. 9 = b^2

6. 3 = b

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Answer:

step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.

step 2. parallel lines have the same slope so the slope is -4.

step 3. y - (-5) = -4(x - (-4)).

step 4. y + 5 = -4x - 16.

step 5. y = -4x - 21.

Answer:

The second answer is correct

Answer:

There are no options, so i will answer in a general way.

In a function:

y = f(x)

The output is y, and the input is x, and the ordered pair is written as (x, y)

In this case, we have the function:

y = -7*x + 6

Then we need to have different inputs and then find the outputs for each.

For example, if x = 1.

y = -7*1 + 6 = -1

Then we have the ordered pair (1, - 1)

if x = 0

y = -7*0 + 6 = 6

then we have the ordered pair (0, 6)

The general ordered pair is written as:

(x, y =  -7*x + 6)

or:

(x,   -7*x + 6)

Where you only need to replace the value of x.

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so

Answer: 19.2 cm

Step-by-step explanation:

A meter is equal to 100 centimetres so the total length of Tia's wire in centimetres is:

= 4.08 * 100

= 408 cm

She cuts this into 10 equal pieces:

= 408 / 10

= 40.8 cm

Martha cuts her 540 cm wire into 9 pieces. Each piece is:

= 540 / 9

= 60 cm each

The difference is:

= 60 - 40.8

= 19.2 cm

Answer:

1. =−8

2. =4x^6−5x^5+2

Step-by-step explanation:

happy to help ya :)

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

Answer:

x=-1

Step-by-step explanation:

thanks I'm done pls

Answer: 1,-4

Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.

-4x+x=x-5+-x

combine:

-5x/5=-5/-5

x=1

Substitute:

y=-4x(1)

y=-4

so we get 1,-4

Step by step explanation:

Question 1:

Let's simplify step-by-step.

−3x2+6x+5x2−2

=−3x2+6x+5x2+−2

Combine Like Terms:

=−3x2+6x+5x2+−2

=(−3x2+5x2)+(6x)+(−2)

=2x2+6x+−2

Answer:

[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]

Step-by-step explanation:

[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]

Lets take the L.C.M of 7 & 9.

L.C.M of 7 & 9 = 63

[tex] = > \frac{9x - 7x}{63} = - 1[/tex]

[tex] = > \frac{2x}{ 63} = - 1[/tex]

Now lets multiply 63 on both the sides.

[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]

[tex] = > 2x = - 63[/tex]

Now lets divide both the sides by 2.

[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]

[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]

Answer:

2nd linear equation represents the graph

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation: