If p and q vary inversely and p is 15 when q is 17, determine q when p is equal to 51

Answer:

a₁₀ = 105

Step-by-step explanation:

There is a common difference between consecutive terms , that is

33 - 24 = 42 - 33 = 51 - 42 = 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = 9 , then

a₁₀ = 24 + (9 × 9) = 24 + 81 = 105

The 10th number of the arithmetic sequence will be 105.

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

24, 33, 42, 51, ....

The first term is 24 and the common difference will be

d = 33 - 24

d = 9

Then the 10th term of the arithmetic sequence will be

a₁₀ = 24 + (10 - 1) × 9

a₁₀ = 24 + 9 × 9

a₁₀ = 24 + 81

a₁₀ = 105

The 10th number of the arithmetic sequence will be 105.

More about the arithmetic sequence link is given below.

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Answer:

y = x + 4

Step-by-step explanation:

From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).

slope = m = rise/run = 1/1 = 1

The y-intercept is b = 4

y = mx + b

y = x + 4

Answer:

154

Step-by-step explanation:

use the bus stop method so you divide each number separately, starting from the left.

9 divided by 6=1 with a remainder of 3 because 1x6=6 and 9-6=3. Then you move that 3 over to the next number, the 2, to make it 32.

32 divided by 6=5 with a remainder of 2 because 5 x 6=30 and 32-30=2. Then you move that 2 over to the next number, the 4, to make it 24.

24 divided by 6 is 4.

So if you put all of those numbers together, it makes 154.

Answer:

29

Step-by-step explanation:

We first need to know what 1-digit numbers add up to 11.

One digit numbers that add up to 11 are:

2 and 9

3 and 8

4 and 7

5 and 6.

The only pair here who's difference is 7 is: 2 and 9.

9 and 2 wont work because it's even, So the answer is 2 and 9 or 29.

Answer:

7x2 + 14x = 0

x2 + 3x -5 = 0

x2 - x = 3x + 7  

Step-by-step explanation:

A quadratic equation has the highest power of x to the second power.  It must have x to the second power

7x2 + 14x = 0  quadratic

x3 - 3x2 + 1 = 0   not quadratic  but cubic

5x - 7 = 0  not quadratic  but linear

x2 + 3x -5 = 0   quadratic

x - 5 = 9x + 7  not quadratic but linear

x2 - x = 3x + 7  quadratic

Answer:

The answer is 20% have a great day

Answer:

40%

Step-by-step explanation:

that's what googl e said

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Answer:

y=3/5x+3 i think

Step-by-step explanation:

3 is the y intercept, and to find the slope its rise over run so 3 up and 5 to the side, i hope this helps!!

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=2x - 5 \quad \begin{cases} x_1=2\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(2)}{5-2}\implies \cfrac{[2(5)-5]~~ - ~~[2(2)-5]}{3} \\\\\\ \cfrac{5-(-1)}{3}\implies \cfrac{5+1}{3}\implies 2[/tex]

Hybrid cars have lower operational cost and reduce Green House Gases

GHG when journeys are made on a frequent basis.

Reasons:

The given parameters are;

The mass of Green House Gases GHG created by each gallon of gasoline burned = 20 pounds

Let A represent the cars that consume 40 MPG and let B represent the cars that consume 20 MPG.

Amount of GHG produced per year by cars A = 4.4 tons

4.4 US tons = 8,800 lbs

Amount of GHG produced per year by cars A = 8.8 tons

8.8 US tons = 17,600 lbs

[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car \ A = \frac{8,800 \ lb}{20 \ lb/ gallon} = \mathbf{440 \ gallons}[/tex]

Cost of gasoline consumed per year by car A per year is therefore;

[tex]Cost_A[/tex] = 440 gallons × $2.454 = $1,079.76

[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car\ B = \mathbf{\frac{17,600\ lb}{20 \ lb/ gallon}} = 880 \ gallons[/tex]

Cost of gasoline consumed per year by car B per year is therefore;

[tex]Cost_B[/tex] = 880 gallons × $2.454 = $2,159.52

The amount saved annually by car A compared to car B is therefore;

Fuel cost savings by Car A = $2,159.52 - $1,079.76 = $1,079.76

Learn more here:

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Answer:

The pattern is adding by consecutive odds.

Step-by-step explanation:

The first odd you start with is 3:

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

...

Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.

~

Answer:

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A.

2 2/3 + r = 3

r = 3 - 2 2/3

r = 1/3

B.

r - 1 = 2/3

r = 1 2/3

C.

3r = 1/3

r = 1/9

D.

4r = 12

r = 3

Answer: A.

Answer:

23

Step-by-step explanation:

Answer:

so no answer

Step-by-step explanation:

no answer

Answer:

13,101,108

as in Thirteen million ,hundred and one thousand, one hundred and eight

Step-by-step explanation:

y=-1/4x-2

1/4x+y+2=0.........1

line perpendicular to eqn 1 is

x-1/4y+k=0

as the line passes through the (-2,-3)

-2-1/4×-3+k=0

-1+4k=0

K=1/4

the eqn is 4x-y+1=0

Answer:

1 cm2 = 0.155 in2; 1 in2 = 6.4516 cm2

Step-by-step explanation:

Welcome, Brainlest Please?

To find the other angles in a parallelogram if only one is given then you need to subtract the number with 180 to find the consecutive angles. With the theorem 6-5 opposite angles are congruent, so the opposite side would have the same value.

Answer:

Option 4

Step-by-step explanation:

[tex]2(a+6)[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2+6)=2(8)=16[/tex]

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

Check first option:

[tex]4a+8[/tex]

Substitute [tex]a=2[/tex]:

[tex]4(2)+8=8+8=16[/tex]

Since 16 is not greater than 16, the first option is incorrect.

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

Check second option:

[tex]2a+a^2[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2)+2^{2} =4+4=8[/tex]

Since 8 is not greater than 16, the second option is incorrect.

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

Check third option:

[tex]2a+12[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2)+12=4+12=16[/tex]

Since 16 is not greater than 16, the third option is incorrect.

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

Check fourth option:

[tex]a^4+2[/tex]

Substitute [tex]a=2[/tex]:

[tex]2^4+2=16+2=18[/tex]

Since 18 is greater than 16, the fourth option is correct.

Answer:

x=9

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

log(1) = 0

log(1) = [tex]log(1)^{2}[/tex]

0 = [tex]0^{2}[/tex]

0 = 0

Answer:

(2,5)

(3,8)

(4,13)

(5,12)

(6,18)

(7,20)

Plug those into the scatter plot graph

Step-by-step explanation:

The left side is the x axis and the right side is the y axis

Answer:

Step-by-step explanation:

A' (- 3 + 4, 4 + 2) = (1, 6)

B' (- 1 + 4, 2 + 2) = (3, 4)

C' (- 5 + 4, 0 + 2) = (-1, 2)

Answer:

Unicorn a : 1,160, and Unicorn b : 290

Step-by-step explanation:

We can make this an equation

Unicorn a is 4x

Unicorn b is x

4x + x = 1,450

x = 290

Unicorn a : 4•290= 1160 years old

Unicorn b : is 290 years old

Answer:

y = x

Step-by-step explanation:

So 1st we need to find the slope of the original line which is y = -x

(use slope formula)

2nd Now we just need to reverse the slope, and that gets us to y = x

Answer: 6

its obvious  

~quadratic equation

======================

2x² + 3x - 20 = 0

= a + b = 3

= ab = 2(-20) = -40

= a = -5

= b = 8

= (2x² - 5x) + (8x - 20)

= x(2x - 5) + 4(2x - 5)

= (2x - 5) (x + 4)

= Solution 1 : x = 5/2 ✔️

Solution 2 : x = -4 ✔️

~ nice to help you ^^

[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]

Answer:

none

Step-by-step explanation: