b) Here are the first four terms of another sequence.
7
11 15 19
Write an expression for the nth term of this sequence.

Answer:

a/8 = b/15

Step-by-step explanation:

a/b = 8/15  -- divide both side by 8 and multiple both side by b

a/8 = b/15

Equations:

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Answer:

[tex]x+6=5+x[/tex]

[tex]5-3x=-3x+4[/tex]

Step-by-step explanation:

Given

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Required:

Which have no solution

[tex]x+6=5+x[/tex]

Subtract x from both sides

[tex]x -x+6 = 5 + x - x[/tex]

[tex]6 = 5[/tex]

[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]

[tex]-2(x-3)=-2x+6[/tex]

Open bracket

[tex]-2x + 6 = -2x + 6[/tex]

Both sides are equal.

Hence, there is an [tex]Infinite\ Number[/tex] of Solutions

[tex]4-4x=3x+2[/tex]

Collect like terms

[tex]-3x - 4x = 2 - 4[/tex]

[tex]-7x = -2[/tex]

Solve for x

[tex]x = \frac{-2}{-7}[/tex]

[tex]x = \frac{2}{7}[/tex] --- This has a solution

[tex]4(x+1)=3(x+2)[/tex]

Open brackets

[tex]4x + 4 = 3x + 6[/tex]

Collect like terms

[tex]4x-3x = 6 - 4[/tex]

[tex]x = 2[/tex] --- This has a solution

[tex]5-3x=-3x+4[/tex]

Add 3x to both sides

[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]

[tex]5 = 4[/tex]

[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]

Answer:

x=5 and y=16

Step-by-step explanation:

x = number of pants

y = number of shirts

Set up equations:

Set the equations up as a system:

25x+14.5y=357

x+y=21

Steps:

Solve the system by substitution.

(You can also solve this system by elimination.)

25x + 14.5y=  357

x + y = 21

Step 1: Solve x+y=21 for x:

(x + y) − y = (21) − y(Subtract y from both sides)

x = −y + 21

Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:

25x + 14.5y = 357

25(−y + 21) + 14.5y = 357

−10.5y + 525 = 357 (Simplify both sides of the equation)

(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)

−10.5y =  −168

−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)

y = 16

Step 3: Substitute 16 for y in x = −y + 21:

x = −y + 21

x = −16 + 21

x = 5 (Simplify both sides of the equation)

Answer:

x=5 and y=16

Answer:

1017.6

Step-by-step explanation:

i think, if it is asking for the original sales price

Answer:

Sale price of phone:  $640

Sale price including tax:  $678.40

Step-by-step explanation:

If the discount is 20%, the price actually paid is (100% - 20%), or 80% of full price.

Multiplying $800 by 0.80 results in the sale price:  $640.

The 6% sales tax is 0.06($640), or $38.40.

Paying $38.40 sales tax on the $640 purchase results in a total paid of $678.40.

Answer:

the answer would be the second one

Step-by-step explanation:

a congruency symbol consists of a = and a ~

Answer:

D

Step-by-step explanation:

D starts low on both sides but is highest in the middle

Answer:

3 quarts of water is 12 cups.

Step-by-step explanation:

1 quarts is 4 cups

Answer:

B

Step-by-step explanation:

C = πd = 3.14 * 32 = 100.48in

Answer:

9 cm

Step-by-step explanation:

Given :

Area, A = 36cm²

Height, h = 8cm

Using the relation :

Area, A of triangle :

A = 1/2 * base * height

36 = 0.5 * base * 8

36 = 4 * base

base = 36 / 4

Base = 9 cm

Length of base is 9cm

Answer:

x y

12 100

13 70

14 40

Step-by-step explanation:

Answer:

x ≈ 8.1 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan72° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )

x × tan72° = 25 ( divide both sides by tan72° )

x = [tex]\frac{25}{tan72}[/tex] ≈ 8.1 ( to the nearest tenth )

Answer:

B. function 13 meters per second

Step-by-step explanation:

Answer:

B) Function A; 14 mps

Step-by-step explanation:

Function B has a speed of 13/s

If you look at Function A and divide the right column by the corresponding values in the left column, you get 14 every time. That is the rate of Function A.

14>13.. so Function A is faster

Answer:

$80

Step-by-step explanation:

10x + 30 = y

He wants to rent it for 5 hours, so we replace x with 5.

10(5) + 30 = 80

He should expect to pay $80 for the rental.

Step-by-step explanation:

Given

[tex] \sqrt{4} \times (2) \\ \sqrt{ {2}^{2} } \times 2 \\ = 2 \times 2 \\ = 4

Hope it will help :)❤

Look at the explanation to understand.

Step-by-step explanation:

Step 1.

Apply the rule. (a) = a

For this expression, (2) = 2

[tex]\sqrt{4}\times2[/tex]

Step 2.

Multiply 4 by 2.

4 × 2 = 8

Step 3.

Prime factorization of 8: 2³

[tex]\sqrt{2^3}[/tex]

Step 4.

Apply the exponent rule. [tex](a^b^+^c=a^b\times a^c)[/tex]

2³ = 2² × 2

[tex]\sqrt{2^2\times2}[/tex]

Step 5.

Apply the radical rule. [tex]\sqrt{ab}=\sqrt{a}\sqrt{b}, a\geq 0, b\geq 0[/tex]

[tex]\sqrt{2^2}\sqrt{2}[/tex]

Step 6.

Apply the radical rule again. [tex]\sqrt{a^2}=a, a\geq 0[/tex]

[tex]2\sqrt{2}=4[/tex]

Hence, 4 is the answer.

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope tis helps

Answer:

45.5

Step-by-step explanation:

To find 35% of 70, you have to use the equation...

70 x 35/100

70 x 35 = 2,450

2,450/100 = 24.5

24.5 is 35% of 70, so the item is now $24.5 less than the original price.

70 - 24.5 = 45.5

The selling price is $45.5

Answer:

y = 31

Step-by-step explanation:

Given

y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2

y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31

Answer: 452.16 square feet

Step-by-step explanation:

The formula that is used to calculate the area of a circle is given as:

= πr²

where π = 3.14

r = Diameter/2 = 24/2 = 12

Area = πr²

= 3.14 × 12²

= 3.14 × 144

= 452.16 feet²

Therefore, the answer is 452.16 square feet.

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

choice 4) all of the angles are supplementary to each other since any two added together = 180°

Step-by-step explanation:

Answer: [tex]25^{\circ}[/tex]

Step-by-step explanation:

Given

The highest temperature recorded is [tex]18^{\circ}[/tex]

The lowest temperature recorded is [tex]-7^{\circ}[/tex]

The amount of change between the high and the low temperatures is

[tex]\Rightarrow 18-(-7)=18+7\\\Rightarrow 25^{\circ}[/tex]

Answer:

0,-1

Step-by-step explanation:

Explanation is in the file

tinyurl.com/wpazsebu

The no of three-pointer questions is 35 and the no of six-pointer questions is 15.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

The total no of questions = 50,

The total marks in the test = 195.

According to the question, the equation will be,

3x + 6y = 195 and x + y = 50

Here, x is the no of three mark question and y is the no of six marks question.

Solve the equation by elimination method, and we get,

x = 35 and y = 15

Therefore, the no of three-pointer questions is 35 and the no of six-pointer questions is 15.

To know more about equation:

https://brainly.com/question/12788590

#SPJ5

Answer:

The answer is D

Answer:

m = -1, b = 5.

Step-by-step explanation:

We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.