A motorboat averages 20 miles per hour (mph) in still water. It takes the boat the same amount of time to travel 3 miles with the current as it does to travel 2 miles against the current. What is the current's rate in mph?

Answer:

8 weeks

Step-by-step explanation:

Let

w = number of weeks

John = 12 + w

Aiden = 4 + 2w

How many weeks (w) will it be before Aiden knows as many songs as John?

Equate both John and Aiden expression

John = Aiden

12 + w = 4 + 2w

Collect like terms

12 - 4 = 2w - w

8 = w

w = 8 weeks

It will take 8 weeks before Aiden knows as many songs as John

Answer:

81,412,650

Step-by-step explanation:

im not sure if this is what ur asking for??

Answer:

It would be D

Step-by-step explanation:

Answer:

Letter C

Step-by-step explanation:

trust me its right!

Answer:

The equation of the line is;

y + 4 = 3(x + 4)

Step-by-step explanation:

The general equation of a line is;

y = mx + b

where m is the slope and b is the y-intercept

To get the equation, let us look at the given intercepts

We have the intercepts at the point (0,5) and (-2,-1)

We have the slope of the line as follows;

m = (y2-y1)/(x2-x1) = (-1-5)/(-2-0) = -6/-2 = 3

So we have the equation as;

y = 3x + b

recall, we have the y-intercept as 5

so the complete equation is;

y = 3x + 5

Now, we can rewrite this as;

y+ 4 = 3(x + 3)

Answer:

you correct answer should be 17

Answer:

The height is 18.5cm

Step-by-step explanation:

Given

Let

[tex]y =height[/tex]

[tex]x = time[/tex]

So, we have:

[tex](x_1,y_1) = (5,21.5)[/tex]

[tex](x_2,y_2) = (21,16.7)[/tex]

Required

The height after 15 hours

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{16.7-21.5}{21-5}[/tex]

[tex]m = \frac{-4.8}{16}[/tex]

[tex]m = -0.3[/tex]

The linear equation is then calculated as:

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

Where

[tex]m = -0.3[/tex]

[tex](x_1,y_1) = (5,21.5)[/tex]

This gives:

[tex]y =-0.3(x - 5) + 21.5[/tex]

Open bracket

[tex]y =-0.3x + 1.5 + 21.5[/tex]

[tex]y =-0.3x + 23[/tex]

After 15 hours

[tex]x = 15[/tex]

[tex]y =-0.3*15 + 23[/tex]

[tex]y =-4.5 + 23[/tex]

[tex]y =18.5[/tex]

The height is 18.5cm

Answer:

99

Step-by-step explanation:

i have all the steps in the comments of ur question

Answer:

1/2bxh  (half a base times the height)

Step-by-step explanation:

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]\frac{bh}{2}=A\\\\\frac{4\times4}{2}=A\\\\\frac{16}{2}=A\\\\8=A\\\\A=8[/tex]

I think it's easier to not factor it, so we will be using formulas.

-b/2a=x

6/2=3=x

y=-25

(3,-25)

Answer:

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Answer:

Hello! Answer: B

Step-by-step explanation:

Because 112 is 70% of 160

The answer is A. 48

looked it up.

Answer:

[tex]9450 {m}^{3}[/tex]

Step-by-step explanation:

Given ,

Length of the tank = 27m

Width of the tank = 35m

Depth of the tank = 10m

Therefore,

Volume of the tank = Length × Width × Depth

= 27m × 35m × 10m

[tex] = 9450 {m}^{3} (ans)[/tex]

Answer:

9450

Step-by-step explanation:

volume = length x width x height=27 x 35 x 10

Answer:

Step-by-step explanation:

Based on the given, we have equations:

Multiply the first equation by 29 and the second one by 30, then subtract the first equation from the second:

The cost per unit of gas is $0.15

Answer:

Step-by-step explanation:

(x-1)(x+3)(x-9)(x+1)(x-9)(x+1)(x+1)  

the above works out.  but not sure what other choices you had in the answer

Answer:

(x-1)(x+3)(x-9)(x+1)(x-9)(x+1)(x+1)  

Step-by-step explanation:

Given:

[tex]P(A)=0.4, P(B)=0.7, P(A\text{ and }B)=0.3[/tex]

To find:

The value of [tex]P(A\text{ or }B)[/tex].

Solution:

We know that,

[tex]P(A\text{ and }B)=P(A\cap B)[/tex]

[tex]P(A\text{ or }B)=P(A\cup B)[/tex]

It means, we have [tex]P(A)=0.4, P(B)=0.7, P(A\cap B)=0.3[/tex] and we need to find the value of  [tex]P(A\cup B)[/tex].

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

[tex]P(A\cup B)=0.4+0.7-0.3[/tex]

[tex]P(A\cup B)=1.1-0.3[/tex]

[tex]P(A\cup B)=0.8[/tex]

Therefore, the value of [tex]P(A\text{ or }B)[/tex] is 0.8.

Answer:

hshysywyyw6w6wywhwhwqhhwhwhh

Step-by-step explanation:

vejejjeejjejejejfjj237 68672_773837 8282×786766

bbdjdjejjefu8du uwj udej hbvv jjj un jududjdj8

Answer:

0.20 or 20%

Step-by-step explanation:

We already know that (assuming we aren't counting a car that has seats in the truck area) there are five possible spots to sit in: the driver's seat, the front passenger (famously known as "shotgun"), middle/back left passenger, middle/back right passenger, and middle/back middle passenger.

By dividing 1 from 5 (1/5) you get a 20% chance of sitting in shotgun.

So, not that high, but its better than nothing.

Hope this helped!

Source(s) used: G*ogle Calculator

Answer:

20%

Step-by-step explanation:

Answer:https://youtu.be/QZ_a8VXhiSc?t=187

Step-by-step explanation:https://youtu.be/BX0K5IfPMOA?t=144

Answer:

9 x 7 = 63 <---- Parallelogram

10 x 6.8 = 68, 68 divided by 2 = 34 <------- Triangle

13 + 15 = 28, 28 x 6 = 168, 168 divided by 2 = 84 <------- Trapezoid

The trapezoid has the greatest area.

Formula of trapezoid:

B1(base 1) + B2(base 2) x H (height) x 1/2 (basically dividing by 2)

Formula of triangle:

B(base) x H(height) x 1/2 (basically dividing by 2)

Formula of Parallelogram:

B(base) x H(height)

Answer:

answer is -1.75

Step-by-step explanation:

[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]

Answer:

The interquartile range is 5

Answer:

1:23

Step-by-step explanation:

20 / 460

= 1 / 23

= 1:23

Answer:

X=105

reason beng corresponding angle

Answer:

75

Step-by-step explanation:

Answer:

The coordinates are x=1 y=3

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The various forms of the expression use the relation ...

  -5 1/4 = -5 + -1/4 = -(6 -3/4) = -6 +3/4

Of course, the minus sign in a product can be moved around according to the associative and commutative properties of multiplication.

(8)(-5 1/4)

= (8)(-5 + -1/4)

= 8(-5) +8(-1/4)

= 8(-5) -8(1/4)

= 8(-6 +3/4)

Attached is the non-equivalent expression.

Answer: D=16

Add 4 to both sides

D=16

Answer:

Answer: 16

Step-by-step explanation:

Do 12 -(-4 to get D

12 -(-4 = 16

Question

In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and

a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for

a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.

Step-by-step explanation:

Answer:

3rd option, you are correct

Step-by-step explanation:

A tangent is a straight line with only 1 point of contact to the circle.

This is the case at points R and Z

Answer:

3rd option just to reassure everyone