Juan drove 360 miles in 5 hours.
At the same rate, how long would it take him to drive 504 miles?

Step-by-step explanation:

[tex]2 - \frac{x + 1}{x - 2} - \frac{x - 4}{x + 2} = \: \frac{ax + b}{x {}^{2} - 4 } \\ = \: \: 2 - \frac{(x + 1)(x + 2) - (x - 4)(x - 2)}{x {}^{2} - 4 } \\ = \frac{2x {}^{2} - 8 - x {}^{2} - 2x - x - 2 - x {}^{2} + 2x + 4x - 8 }{x {}^{2} - 4 } \\ = \frac{ - 8 - 2 + 3x - 8}{x {}^{2} - 4 } \\ = \frac{3x - 18}{x {}^{2} - 4 } \\ [/tex]

so, a = 3, b = -18

Answer:

3x - 18 ÷ x^2 - 4

a=3

a=3b= - 18

Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation: look at the graph dude

Answer:

y = 2/3x​

Step-by-step explanation:

[] Since the line goes through the origin (0, 0) the line will have no b. This does not rule out any of the options as they all have no b.

[] When we have clear points on a line, we can find the slope by using "rise-over-run." Here is an example using your problem;

-> The slope of the line will be positive because it is going from the bottom left to the top right.

We will start at (0, 0). We count up two units to (0, 2) and to the right three units too our next point, (3, 2). This leaves us with a slope of 2/3.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

toAnswer:

x ≥ 1

[] See attached

Step-by-step explanation:

[Given]

-6 ≤ -7 + x

[Add 7 to both sides]

1 ≤  x

For the graph, we will plot the point 1 and fill it in since x is greater than or equal to 1. Next, we will draw an arrow to the right showing greater than.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

Point A (0, 8)

Point B (0, -6)

Point C (0, 0)

I hope this helps!

Supplementary angles add to 180 degrees.

180 - 144 = 36

36/2 = 18

18 + 144 = 162

One angle is 18 and the other one is 162

Answer:

The equation is wrongexplanatiowrongexplanwrongo

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

First, we need to remember to use the order of operations:

Parentheses

Exponents

Multiplication/Division (whichever comes first)

Addition/Subtraction (whichever comes first)

Start by evaluating 2⁴ since exponents come first...

80/16*4

Now do the division first since it comes first in the equation...

5*4

Lastly do the multiplication...

20

Answer:

Which part do you want? I can easily help you

3=39

2=108

1=72

All customers in Mogale City, irrespective of income, receive the first 6 kls of water free.

Answer:

8xb + 456x

Step-by-step explanation:

8x(b + 456)

8xb + 456x

You multiply 8x by the numbers in the parenthesis. And you add the variables to the coefficents.

I hope it helps! Have a great day!

Lilac~

Answer:

i think his work is popular today because it was aheaahead of his time and yes  i do think his songsongs created today will be popular in 400 years. Step-by-step explanation:

Answer:

05 is your answer

Step-by-step explanation:

hope it helps you

Answer:

it might be 3

Step-by-step explanation:

due to someone getting 5sec wrong me getting 2 wrong another post with only three stars said 4 so id leave it to 4 or 3.(process of elimination)

Answer: x = 11; y = -1.

Step-by-step explanation:

-9y + 2 = x        (1)

-x - 3y = -8        (2)

Substitute x from Equation 1 into Equation 2:

-(-9y + 2) - 3y = -8

9y - 2 - 3y = -8

9y - 3y = -8 + 2

6y = -6

y = -1

Substitute y into Equation 1 and find x:

-9 * (-1) + 2 = x

x = 11

Answer:

d I think I could be wrong but hey who knows

10. C because if you use the distance formula you get 10.

Answer:

  32°, 36°, 112°

Step-by-step explanation:

All of the angles are described in terms of the first angle, so we can use a variable to represent that: x. The second angle is (x+4) and the third angle is (3x+16). As always, the sum of angles in a triangle is 180 degrees:

  x +(x +4) +(3x +16) = 180

  5x +20 = 180 . . . . . collect terms

  5x = 160 . . . . . . . subtract 20

  x = 32 . . . . . . . divide by 5

  x+4 = 36 . . . . find the other two angles

  3x+16 = 3(32) +16 = 112

The angles of the triangular yard are 32°, 36°, and 112°.

Answer:

8 hours

Step-by-step explanation:

$216 → 12 hours

$1 → [tex]\frac{12}{216}[/tex] hours

$144 → ( [tex]\frac{12}{216}[/tex] *144) → 8 hours

Answer:

for a. you will first solve 5x²-2x+6 with

x=-b ± ✓b²-4ac

----------------

2a

then put the two answers you will get into a bracket then multiply it with 1/2x - 1\4

then write in form of dis :- A ×10^n

Step-by-step explanation:

b. the two products are not the same

Answer:

[tex]\red{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]

Step-by-step explanation:

[tex]X+a = \frac{X+b}{c} \\ \\ \implies \: c(X+a) = X+b\\ \\ \implies \: cX+ac= X+b \\ \\ \implies \: cX - X = b - ac \\ \\ \implies \: X(c - 1) = b - ac \\ \\ \implies \: \huge \purple{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]

Answer:

12 years old

Step-by-step explanation:

let h = helmi's age and let s = son's age (right now)

10s = 3h

h + 5 + s + 5 = 62

h + s + 10 = 62

h + s = 52

3h + 3s = 156

10s + 3s = 156 (substitution)

13s = 156

s = 12

Explanation:

The key word here is "desired". We wish to make the errors as small as possible. The smallest any individual error can get is 0. Adding the entire collection of zeros will sum in a total of zero.

An error of zero means we hit the mark exactly. The unfortunate reality is that error is going to happen, so we'll have some positive error values with any regression line (or curve). It's only when all points are on the same line is when we have zero error and perfect interpolation rather than regression.

Again, the question is asking about desired error and the ultimate goal is to make the error zero. The next best thing is to minimize it as small as possible.

Answer:

3 days

Step-by-step explanation:

because a works twice as fast meaning they can do there work 3 times as fast

Answer:

180,000,000,000

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The area of a shape is the amount of space it occupies

Using the assumed values, the area of the shaded region is 3 square meters

From the question, we understand that the rectangle is inscribed in the trapezoid

This means that, the area of the rectangle is smaller than the area of the trapezoid

The question is incomplete, so we make use of the following assumed values.

So, the shaded region would be

Shaded = 18 - 15

Evaluate the difference

Shaded = 3

Hence, the area of the shaded region is 3 square meters

Read more about shaded regions at:

https://brainly.com/question/8460992

Answer:

The Area of the shaded region would be 100 in^2 .

Step-by-step explanation:

Given:

Check the Attachment.

To Find:

The Area of Shaded Region

Solution:

The Triangle and the Rectangle have the same base(b) that is equal to the length(l) of the rectangle.

Note that Height of the triangle is same as breadth of the rectangle.

Now Let's come in the main solving part :-

We know that the formula of Area of the Triangle is ;

[tex]\boxed{ \rm \: Area \: of \: Triangle= \tt \: 1/2× \rm \: base×height , i.e. \: \tt \: 1/2× \rm\: b×h}[/tex]

Substitute the values where Base= 20 in and Length = 10 in:

[tex] \tt \: Area \: of \: Triangle=1/2×20 \: \times 10[/tex]

Now Solve it.

[tex] \tt \: Area \: of \: Triangle= \cfrac{1}{ \cancel2 {}^{1} } \times \cancel{20} {}^{10} \times 10[/tex]

[tex] \tt \: Area \: of \: T riangle = 10 \times 10[/tex]

[tex] \tt \: Area \: of \: Triangle=\boxed{\tt 100 \: in {}^{2}} [/tex]

Hence, the area of the shaded region is 100 sq.in or 100 in^2 .

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

Let me know if you have any questions. :)

Answer:

your answer would be: no number

Step-by-step explanation:

to get a positive 5, you have to multiply 2 negative numbers, which are -1 and -5. and negative -1 + -5 =-6. For you to get -4, the 5 would have to be -5, in this case, it's a +5.

Answer:

You can replace "a number" with a variable to represent an unknown value.

You can replace "sum" with an addition sign.

You can replace "one-third" with 1/3.

Step-by-step explanation:

"the sum" means to add.

Let "a number" = x:

The sum of a number and one-third = x + 1/3.

You can replace "a number" with a variable to represent an unknown value.

You can replace "sum" with an addition sign.

You can replace "one-third" with 1/3.