If p is directly proportional to q, and p=9 when q=7.5, find q when p=24.

Answer:

Step-by-step explanation:

Let width of the parking space = x meters

Since, parking space is 6 meters longer than the width,

Length of the parking space = (x + 6) meters

Area of the parking space = Length × Width

                                            = x(x + 6)

Area of the parking space is less than 40 square meters.

Therefore, inequality representing the area of the parking will be,

x(x + 6) < 40

x² + 6x < 40

x² + 6x - 40 < 0

x² + 10x - 4x - 40 < 0

x(x + 10) - 4(x + 10) < 0

(x - 4)(x + 10) < 0

-10 < x < 4

For -10 < x ≤ 0, width of the paring will be negative.

Therefore, possible values of x will be in the interval,

0 < x < 4

Or 0 < width < 4

Length of the parking space will be,

6 < Length < 10

Answer:

128

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 2 = 20 - 11 = 9

This indicates the sequence is arithmetic with n th term

[tex]t_{n}[/tex] = t₁ + (n - 1)d

where t₁ is the first term and d the common difference

Here t₁ = 2 and d = 9 , thus

t₁₅ = 2 + (14 × 9) = 2 + 126 = 128

Answer:

84

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84

Answer:The y-intercept is roughly D=25

Step-by-step explanation: The y-intercept is where the line passes through the y-axis. On this graph the y-axis passes through the y-intercept at 25.

Answer:

36%

Step-by-step explanation:

The total number of cars is 50 and 18 were manufactured before 1945

Let's set up a fraction

18/50

A percent should be out of 100 so let's change the denominator to 100

18/50 (times 2 for 18 and 50 to get 50 to 100)= 36/100

36/100 is 36%

OR

divide 18 by 50 because the fraction line is like a division symbol

that equals 0.36, times 100 to get 36%

Answer:

10+10=20    

30x30= 900

Step-by-step explanation:

Answer:

900 plus 20 so

Step-by-step explanation:]

answer is 920

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

The equation which is parallel to the line JK is

a) Parallel is 5x + 3y = 13

b) Perpendicular is 6x - 10y = 7

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be J ( -5 , 5 )

Let the second point be K ( 1 , -5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )

m = 10 / -6

m = -5/3

The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope

So , the equation of line parallel to JK is 5x + 3y = 13

And , the equation of line perpendicular to line JK is 6x - 10y = 7

Hence , the equation of line is solved

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

Answer:

8.3

Step-by-step explanation:

Answer:

8.28

Step-by-step explanation:

Find the number in the hundredth place  7  and look one place to the right for the rounding digit  5 . Round up if this number is greater than or equal to  5 and round down if it is less than  5 .

Pls rate brainiest

Answer:

D

Step-by-step explanation:

3x+6=9

3x=3

x=1

Answer:

−5

Step-by-step explanation:

By substituting the value of x in f(x) with -4,

(-4)^2+4(-4)-5

=16+(−16)−5

=0−5

=-5

Your welcome :D  

Answer:

[tex]\frac{3}{2\pi }[/tex]

Step-by-step explanation:

Answer: They were $6 each

Step-by-step explanation:

20-2=18

18/3=$6

Answer:

$3

Step-by-step explanation:

Since we know that there was $2 that she didn't use, we can subtract that from $20 to get $18 that was used (20 - 2 = 18)

We then divide 18 by 6 because she bought six pencils (18/6 = 3)

Each pencil costs $3

Hope this helps!  

Edit: I saw your comment how you need to do the equation so here it is

(20 - 2)/6 = 3 (I could be wrong, but using my explanation and the information you gave, this would be correct)

Answer:

I think the answer would be A

Answer:

A

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Given

m + (3n - 5)² ← substitute given values into the expression

= 6 + (3(4) - 5)²

= 6 + (12 - 5)²

= 6 + 7²

= 6 + 49

= 55

Answer:

−5−6

Step-by-step explanation:

Hope this helps c:

Answer:

-5x - 6

Step-by-step explanation:

-3x - ( 2x + 6 )

Distribute the (-) sign

-3x - ( 2x + 6 )

-3x - 2x - 6

Simplify

-3x - 2x - 6

-5x - 6

the answer is 39 because you need to divide.

Answer:

um i am pretty sure it is c

Step-by-step explanation:

Answer:

y=x7 X 5

Step-by-step explanation:

Answer:

Proud of you!! <3 :)

Step-by-step explanation:

Answer:

x= 9 y = 5, your welcome

Answer: x = 9    y = 5

Step-by-step explanation: I like to use elimination for problems like these. Start by multiplying everything in the second equation (x - 3y = -6) by 4. Your equation should then look like this: 4x - 12y = -24

Now add the two equations as if they were two numbers:

-4x + 9y = 9

4x - 12y = -24

Your x's will cancel out and 9y + -12y = -3y and 9 + -24 = -15. This will make your new equation look like:

-3y = -15

Divide both sides by -3 and you get that y = 5

Substitute 5 in for y for any of the original given equations and solve:

-4x + 9y = 9

-4x + 9(5) = 9

-4x + 45 = 9

-4x = -36

x = 9

Answer:

are there any answer choices

Answer:

3433 tickets

ithink

Step-by-step explanation:

Answer:

1 - SSS

Step-by-step explanation:

We need either two sides one angle, two angles one side, or three sides to prove congruency. In this case we have 3 sides so therefore this is congruent by the SSS theorem.

Answer:

SSS

Step-by-step explanation:

They are congruent, you can tell by the 'tick marks'.

Answer:

c

Step-by-step explanation:

Answer: The answer is acually 54.3

Step-by-step explanation: cause I did it

Answer:

first 145 mile 7mph

next 190miles 2mph

Step-by-step explanation:

total distance to be covered = 145+190=335miles

time = distance/speed

first 145 miles

time = 145/60 =2.41hr

next 190 miles

time = 190/65 = 2.92hr

Total time = 2.41+2.92 = 5.33hr

but we need to cover the entire distance in 5hr

Speed = distance /time

           =  335/5 = 67mph

That means in first 145 mile the speed over the speed limit will be 67-60= 7mph

similarly in the next 190miles speed over speed limit will be 65 - 67 = 2mph.

Answer:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]

Step-by-step explanation:

Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:

[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:

[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]

That gives

[tex]\omega_1 = \frac{100Rad}{60s}[/tex]

Which gives:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex]

This is the angular velocity of the larger gear in rads/sec.

In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by

[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.

We are given the radius of the larger gear as 7ft so we have

[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]

To get the angular velocity of the smaller gear, we use

[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.

Since linear velocity is the same, we have

[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]

[tex] \omega_2 = \frac{35Rad}{12s}[/tex]

Answer:

95 degrees

Step-by-step explanation:

in a triangle angles add up to 180 degrees.

a + b + c = 180

30 + 45 + c = 180

85 + c = 180

c= 180 - 85

c= 95 degrees