8(x - 1) - 4 = 4(2x - 3)

9514 1404 393

Answer:

  5 mph, 11 mph

Step-by-step explanation:

Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...

  (24 mi)/(1.5 h) = 16 mi/h

If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...

  s + (s+6) = 16

  2s = 10 . . . . . . . subtract 6

  s = 5 . . . . . . . . . divide by 2

  s+6 = 11

The rates of the joggers are 5 mph and 11 mph.

Answer:

Try reading it over

Step-by-step explanation:

Answer:

False, because the left side (-169), is not equal to the right side (95).

Answer:

-5 + 9 + (-3/5) + 1/5

Step-by-step explanation:

Answer:

The answer is 10 inches, because first we multiply the letters and how wide they are then subtract that from 60 then divide that by our spaces (4)

Step-by-step explanation:

Answer:

2√5

Step-by-step explanation:

By applying Pythagoras (hypotenuse)^2=(Base)^2 +(Height)^2

The length of the ramp is approximately 4.47 feet.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

If the base of the ramp is 4 feet and the vertical height is 2 feet, we can use the Pythagorean theorem to find the length of the ramp:

ramp length² = base² + height²

ramp length² = 4² + 2²

ramp length² = 16 + 4

ramp length² = 20

Taking the square root of both sides, we get:

ramp length = √20

Simplifying the square root of 20, we get:

ramp length ≈ 4.47 feet

Therefore, the length of the ramp is approximately 4.47 feet.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

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9514 1404 393

Answer:

  15

Step-by-step explanation:

In vector form, the equation of point p on the line can be written as ...

  p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t

  p = (-3, -4) +t(28, 42)

  p = (-3, -4) +14t(2, 3)

where t takes on any value between 0 and 1.

If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.

There are 15 values that n can have in the allowed range.

The caterpillar touches 15 points with integer coordinates.

Answer:

WOAH Sapnap!

Step-by-step explanation:

Answer:

80in3

Step-by-step explanation:

12 x 4 = 48

48 / 2 = 24

24 x 10 =240

240 / 3 = 80

           So your answer is 80in3

Answer: 80in

Step-by-step explanation:

Answer:

5x²

-1/2( x+8)

Step-by-step explanation:

The dominant term is 2x^2 *x or 2x^3

We want to know what happens when x goes to negative ∞

2 ( -∞) ^3 → 2 * (-∞) → -∞

As long as we multiply by a positive number, we will still be approaching negative infinity ( or decreasing)

-3  is negative

.2x is negative when x approaches negative infinity

.5 x^2 = .5( -∞)^2 = 5 ( ∞) = ∞ which is positive

-1/2 x is the dominant term  = -1/2(- ∞) =   ∞ which is positive

4(2x) is the dominant term  = 8(- ∞) = - ∞ which is negative

Answer:

3rd and 4th Choices.

[tex]\displaystyle 5x^2\text{ and } -\frac{1}{2}(x+8)[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=(2x^2+5)(x-7)[/tex]

And we want to determine the factor(s) that we can multiply to the above function that will cause the graph of f to decrease as x approaches negative infinity.

We can see that the dominant term will be:

[tex]2x^2(x)=2x^3[/tex]

Thus:

[tex]2(-\infty)^3\Rightarrow -\infty[/tex]

It is already decreasing (shifting towards negative infinity) as x approaches negative infinity.

In order to preserve this, then, the factors must be positive as x approaches negative infinity.

The first factor is -3.

-3 is always negative, so it will make f increase.

The second factor is [tex]0.2x[/tex].

[tex]0.2(-\infty)\Rightarrow -\infty[/tex]

This will also make f increase.

The third factor is:

[tex]5(\infty)^2\Rightarrow \infty[/tex]

This is positive, so it will allow f to remain decreasing as x approaches negative infinity.

The fourth factor is:

[tex]\displaystyle -\frac{1}{2}(-\infty+8)\Rightarrow -\frac{1}{2}(-\infty)\Rightarrow \infty[/tex]

This is also positive, so it will also allow f to remain decreasing.

Lastly, the fifth factor is:

[tex]4(2(-\infty)-7)\Rightarrow 4(-\infty)\Rightarrow -\infty[/tex]

This is negative, so it will make f increasing.

Therefore, our answers are the third and fourth choices.  

Answer:

3x-14=31 ,= 15

Step-by-step explanation:

3x= 45

x= 45/3

x= 15

hope it helps

Answer:

1.32 that should be correct

Answer:

1.32

Step-by-step explanation:

you would write it out like this on paper

1.1

1.2

_______

  22

+ 110

_______

132. ---> 1.32 because you move it two decimal points to the left because of the decimal points in 1.1 & 1.2.

Answer:

Divide previous term by 2

Step-by-step explanation:

Have a nice day :)

Answer:

every number is getting half one by one

Step-by-step explanation:

means getting divided by 2

have a cheerful day

Answer:

(8,23)

Step-by-step explanation:

x+y=31

4.5x + 11y = 289

x = 31 -y

4.5(31 - y) + 11y = 289

139.5 - 4.5y + 11y = 289

6.5y = 149.5

y = 23

x = 31 - 23 = 8

The ordered pair, (x, y) = (8, 23).

An ordered pair exists as a composition of the x coordinate (abscissa) and the y coordinate (ordinate), containing two values noted in a fixed order within parentheses.

Given: A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport exists $4.50, and the price for a ride from the airport exists $11. The driver collected a total of $289 for the day.

x + y = 31........(1)

4.5x + 11y = 289 ........(2)

From (1), we get

x + y = 31

x = 31 - y

Substitute the value of x in (2), and we get

4.5x + 11y = 289

4.5(31 - y) + 11y = 289

Simplifying the above equation, we get

139.5 - 4.5y + 11y = 289

6.5y = 149.5

y = 23

substitute the value of y, in (1) then we get

x = 31 - y

x = 31 - 23 = 8

The value of x = 8 and y = 23.

Therefore, the ordered pair, (x, y) = (8, 23).

Complete question

A taxi driver had 31 fares to and from the airport last Monday. The price for a ride to the airport is $4.50, and the price for a ride from the airport is $11. The driver collected a total of $289 for the day. Let 2 represent the number of trips to the airport and y represent the number of trips from the airport. Write the ordered pair, (x, y) that represents the situation.

Answer:

1 : 4

Step-by-step explanation:

5(a - b) = 3(a + b) = 5a - 5b = 3a + 3b

2a - 5b = 3b

2a = 8b

2/8 is 1/4 simplified

Answer:

64 degrees

Step-by-step explanation:

All angles in a triangle plus each other equals 180. First find the missing angle of the triangle with 2 given angles. The missing angle is 64 degrees because 68 plus 48 is 116 and 180 - 116 is 64. Vertical angles are always congruent and the missing angle is vertical to the missing angle on the first triangle.

Answer:

1920 cm³

Step-by-step explanation:

For the left figure:

10 • 8 • 14 =

80 • 14 = 1120

For the right figure:

10 • 10 • 8 =

100 • 8 = 800

Add together : 1120 + 800 = 1920 cm³

Step-by-step explanation:

mark me as a brainlist hope its helpful yo you

The function is increasing from (–∞, 0). Then the correct option is A.

If the value of y increases as the value of x increases, then increasing function.

And if the value of y decreases as the value of x increases, then decreasing function.

From the graph, the function is increasing from (–∞, 0).

Then the correct option is A.

The complete question is attached below.

More about the increasing and decreasing of function link is given below.

https://brainly.com/question/14330051

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Answer:

?

Step-by-step explanation:

Answer:

I believe there is a 5/10 chance

Step-by-step explanation:

Answer:

5/9 chance

Step-by-step explanation:

There are 4 even numbered balls from 0-9. Meaning there is a 4 out of 9 chance to get a even ball, but there is also a five. So the answer  is 5 out of 9.

Please give brainliest :)

Answer:

A: (-4,1) QUAD 2

B: (-1, -3) QUAD 3

C: (2,5) QUAD 1

D: (5, -4) QUAD 4

Step-by-step explanation:

8/15

Hope this helps!

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

[tex]Tan(k)=\frac{24}{45} =\frac{8}{15}[/tex]

Answer:

2 weeks

Step-by-step explanation:

y = mx + b

y = total number of chapters read = [tex]9\frac{2}{3}[/tex]

m = number of chapters read per week = [tex]4\frac{5}{6}[/tex]

x = number of weeks = what we're solving for

b is not needed to find this solution

[tex]9\frac{2}{3}[/tex] = [tex]4\frac{5}{6}[/tex] x                            divide [tex]4\frac{5}{6}[/tex] from both sides

x = 2 weeks

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file for the solution:

20% of flights accounted for nearly 70 to 80% of delayed minutes.

Answer:

4

Step-by-step explanation:

this means that 5x+7=27

subtract 7 from both sides

5x=20

x=4

Answer:

20 (3+s)

and the answer to the expression is

20 (3+s)

=60+20s

80

Answer:

41,  -7,  18

Step-by-step explanation:

Let a = smallest number

b = second number

c = largest number

Then  a + b +c = 52       c - a = 48        a + b = 11

11 + c = 52

c = 41       41 - a = 48

                      -a = 6

                       a = -7                         -7 + b = 11

                                                                b = 18

Answer:

a=-7

b=18

c=41

Step-by-step explanation:

a+b+c=52

c-a=48

a+b=11

11+48=59

a+59=52

a=-7

Answer:

In Odette's solution, 7 is the number of

nickels and 8 is the number of dimes