A motorboat travels 464 kilometers in 8 hours going upstream and 540 kilometers in 6 hours going downstream. What is the rate of the bot in still water and what is the rate of the current?

Answer:

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

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}2 * \frac{-24 - 5y}{2}+ y= -8\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-24-4y=-8\end{array}\right][/tex]

[tex]x=\frac{-24-5(-4)}{2}[/tex]

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

Answer:

[tex]{x,y} = {-2,-4}[/tex]

Step-by-step explanation:

[tex]2x + 5y = -24 \\ 2x + y = -8[/tex] <---------- Linear equations given

Graphic Representation of the Equations : PICTURE

[tex]5y + 2x = -24 \\ y + 2x = -8[/tex]

Solve by Substitution :

// Solve equation [2] for the variable  y

[tex][2] y = -2x - 8[/tex]

// Plug this in for variable  y  in equation [1]

[tex][1] 2x + 5*(-2x-8) = -24\\ [1] -8x = 16[/tex]

/ Solve equation [1] for the variable  x

[tex][1] 8x = - 16 [1] x = - 2[/tex]

// By now we know this much :

[tex]x = -2 \\ y = -2x-8[/tex]

// Use the  x  value to solve for  y

[tex]y = -2(-2)-8 = -4[/tex]

Solution :

[tex]{x,y} = {-2,-4}[/tex]

Answer:

[tex]- 6 {x}^{2} -2x + 20[/tex]

[tex]( - 3x + 5)(2x + 4) \\ \\ = - 3x(2x + 4) + 5(2x + 4) \\ \\ = - 3x(2x) - 3x(4) + 5(2x) + 5(4) \\ \\ = - 6 {x}^{2} - { 12x} + {10x} + 20 \\ \\ = - 6 {x}^{2}-2x + 20[/tex]

Solution:

To simplify this expression, multiply the terms together....

Hence, the simplified expression is -6x² - 2x + 20.

Hoped this helped!

Answer:

It can be any measure

Step-by-step explanati

Answer and Step-by-step explanation:

So for this question, we need to create an equation. We will use one of the most common forms of equations of math, which would be the linear equation of y=mx+b. The only difference is, we need to change the = to a ≥ symbol, meaning greater than or equal to, because the 100 dollars needs to be more or equal to the amount spent. But we cannot solve this problem until we know where everything goes.

So, the 100 is all she can spend, so this is where the ≤ comes in handy. She can use less than or equal to the amount of 100 dollars for the food for this party. And because she started out with 19 dollars, that can be added into the problem. So far we have:

100 ≥ __x + 19.

Now we need to find what the missing part of the equation is. But first let's change the x to p in this equation so that it is easier to understand. The p stands for the amount of pizzas purchased. Each pizza costs 7 dollars, so the equation should look like this:

100 ≥ 7p + 19. Now we solve for p.

-19           - 19 Subtract 19 from both sides to cancel out the positive 19 (+ 19).

81 ≥ 7p           Divide 7 into 81 to single out p.

7      7            So p = 81/7. But we can't have 81/7 of a pizza, so we convert this to a decimal then round. So: 11.57142857… is the decimal form.

Now we need to round, because that is way too big. So, we round to the nearest whole number. So we look at the placement behind it (The tenths placement in this situation). Because the placement behind it (5) is on the 5 - 9 scale, the placement before it gets rounded up.

So, Ava can buy 12 pizzas.

I hope that this helps.

Answer:

12

Step-by-step explanation:

I Took The Test

Answer:

1. Given

2. definition of vertical angles

3. SAS triangle similarity theorem

Step-by-step explanation:

1. Given simply means the problem directly tells you it is true

2. Vertical angles are angles that share 2 lines and are congruent.

3. SAS triangle similarity theorem is the theorem that proves 2 triangles with a similar side, angle, and side (in that order) are similar.

Answer:

h=5

Step-by-step explanation:

Answer:

6h +16 =46

6h +16-16

6h =30 6h ÷6 =30÷6

h =5

The area of the L shaped figure is 258 ft²

Area is the amount of space occupied by a two dimensional figure.

The area of a rectangle is given by:

Area = length * breadth

From the diagram, the area is:

Area = [18 * (21 - 12)] + (12 * 8) = 258 ft²

The area of the L shaped figure is 258 ft²

Find out more on Area at: https://brainly.com/question/25292087

Total Area = Area 1 + Area 2

Total Area = (18ft*9ft) + (21ft*8ft)

Total Area = 330ft²

I hope this helps!

1. Ratio of medals won by Josephine to the total number won by the team: 1/13 (A)

2. Ratio of medals won by Jacob to medals won by Antonio: 2/1 (D)

Ratio can be described as a quantitative relation that compares how many times a value is contained in another.

1. Ratio of medals won by Josephine to the total number won by the team:

Total won by the team = 26

Medals won by Josephine = 2

Ratio = 2:26 = 2/26

= 1/13 (A)

2. Ratio of medals won by Jacob to medals won by Antonio:

Jacob = 8

Antonio = 4

Ratio = 8:4 = 8/4

= 2/1 (D)

Learn more about ratios on:

https://brainly.com/question/13513438

Answer: bernice buys 5 VHS tapes. each VHS tape cost $9. if bernice receives a $2 discount on each vhs, what is the total amount of money she spends? write an expression that matches the words.

the answer is $11

Step-by-step explanation: 9+2=11

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

First, find the derivative of f:

[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ 2x^3 - 3x^2 + 5\right] \\ \\ & = 6x^2 - 6x \\ \\ & = 6x(x-1)\end{aligned}[/tex]

Find the instantaneous slope at x = 1:

[tex]\displaystyle \begin{aligned} f'(1) & = 6(1)((1)-1) \\ \\ &= 0 \end{aligned}[/tex]

From the point-slope form, find the equation of the line:
[tex]\displaystyle \begin{aligned}y - y_1 & = m(x-x_1) \\ \\ y - (4) & =(0)(x-(1)) \\ \\ y & = 4 \end{aligned}[/tex]

In conclusion, the equation of the tangent line is y = 4.

Hiyaaa! I'm Nat and I'm gonna help you~♡

Thermo means heat! So. Thermosphere has to relate to hot and warm things.

Meso meaning middle,or intermediate.

,

Hope this helps!!

Brainliest?

-Nat

Hey there!

Any numbers that is to the power of 0 is 1 because it’s just like the product just without any numbers that are given. Therefore, to answer your question: YES

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x² + x - 12 = 0

Step-by-step explanation:

If x = -4 and x = 3 are solutions to a quadratic equation, then

(x + 4)(x - 3) = 0

Expand the brackets:  x² - 3x + 4x - 12 = 0

Combine like terms:  x² + x - 12 = 0

Answer:

2.267742732288 × 1012

Step-by-step explanation:

Answer:

   ◯ ( 3, [tex]\frac{1}{2}[/tex] )  ,   ⬛(  [tex]1\frac{1}{2}[/tex]  ,[tex]2\frac{1}{2}[/tex]) ,   △( 0, [tex]4\frac{1}{2}[/tex] )

Step-by-step explanation:

             x-coordinate                    y-coordinate

◯ ---            3                                           [tex]\frac{1}{2}[/tex]

⬛ ---           [tex]1\frac{1}{2}[/tex]                                         [tex]2\frac{1}{2}[/tex]

△  ---             0                                         [tex]4\frac{1}{2}[/tex]

Measure the unit grids on the graph, x and y, that's the x and y coordinate.

Answer:

T-shirts= 5

Step-by-step explanation:

Remi plans on spending 75$ and she already bought a hoodie that cost $30.

x= how many hoodies you buy.  

Inequality- $75= 30+75+x

Next- 75-30= $45

Finally- 45/9= 5 t-shirts that you can buy.

Hope that helped! :)

Answer:

c

Step-by-step explanation:

A=2πrh+2πr2=2·π·3·20+2·π·32≈433.53979

Answer:

A is 3/y, B is 4y

Step-by-step explanation:

(post deleted by author)

Answer:

40 and 6

Step-by-step explanation:

Answer:

Student 2 is correct because 6 cubed minus 150 is equal to 66

Step-by-step explanation:

[tex]x^3-150=66[/tex]

[tex]\implies x^3=66+150=216[/tex]

[tex]\implies x=\sqrt[3]{216} =6[/tex]

[tex] \sf {a}^{2} = {13}^{2} - {5}^{2} [/tex]

Formula :

Base²= Hypotenuse² - Perpendicular ²

[tex] \\ \\ [/tex]

[tex] \hookrightarrow\sf {a}^{2} = {13}^{2} - {5}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \hookrightarrow\sf {a}^{2} =169 - 25[/tex]

[tex] \\ \\ [/tex]

[tex] \hookrightarrow\sf {a}^{2} =144[/tex]

[tex] \\ \\ [/tex]

[tex] \hookrightarrow\sf {a} = \sqrt{144} [/tex]

[tex] \\ \\ [/tex]

[tex] \hookrightarrow\sf {a} = \sqrt{12 \times 12} [/tex]

[tex] \\ \\ [/tex]

[tex] \hookrightarrow\sf {a} = 12[/tex]

Remember the a² in formula has nothing to do with the a we have to find. :)

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given :-}}[/tex]

[tex]\bold{\underline{ Let's\: Begin:-}}[/tex]

That is,

[tex]\sf{\red{ ( Base)² + ( Perpendicular )² = ( Hypotenuse)²}}[/tex]

[tex]\sf{ ( a )² + ( b )² = ( c )²}[/tex]

Subsitute the required values,

[tex]\sf{ ( a )² + ( 5 )² = ( 13)²}[/tex]

[tex]\sf{ a² + 25 = 169}[/tex]

[tex]\sf{ a² = 169 - 25 }[/tex]

[tex]\sf{ a² = 144}[/tex]

[tex]\sf{ a = √144}[/tex]

[tex]\sf{ a = 12}[/tex]

[tex]\sf{\blue{ Hence,\: Length \:of \:a\: is \:12 units }}[/tex]

Answer:

6.75

Step-by-step explanation:

first let's simplify whatever is inside the parantheses

8(2x-10)=28

8*2(x-5)=28

16(x-5)=28

now we divide both sides by 16 to get rid 16

x-5 = 28/16

now move -5 to the right side

x = 28/16 + 5

x = 28/16 + 80/16 = 108/16 = 6.75

Answer:

The answer is 30

Step-by-step explanation:

30÷2=15

25-15=10

Answer:

30

Step-by-step explanation:

25-30/2 = 25-15 = 10 Hope this helps!

Answer:

I missed the part where that's my problem

Answer:

1 1/2

Step-by-step explanation:

Divide

3 and 3 over 83

3

8

÷ 2 and 1 over 42

1

4

= 108 over 72

108

72

Bar chart visualization should be used if there is an association between birth and death rates during a given time interval.

A bar chart is a chart that is used to represent data using rectangular bars with heights proportional to the values that they represent. Bar charts can either be vertically or horizontally.

Bar graphs are usually used when comparing two or more different things as well as their respective changes over time.

Bar chart visualization should be used if there is an association between birth and death rates during a given time interval.

Find out more on Bar chart at: https://brainly.com/question/24741444

Answer:6%

Step-by-step explanation:

This is pretty much asking what the percentage is!

what's up? 5 gallons ≈ 19 liters  (THIS IS U.S. GALLON, THE OTHER ANSWER HAS IMPERIAL GALLON IF THAT IS WHAT YOU NEED)

best of luck with your studies