60 + 8x + 8x + ( 12x - 1) + (2x + 1)
= 540
Find the value of x.

Answer:

[tex]x_{18}=387420489[/tex]

Step-by-step explanation:

So we have the sequence:

3, 9, 27...

First, note that this is a geometric sequence because each subsequent term not increasing linearly.

To find the 18th term, we can write an explicit formula.

The standard explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the initial term a is 3. The common ratio is 3 since each subsequent term is 3 times the previous term. So, substitute:

[tex]x_n=3(3)^{n-1}[/tex]

To find the 18th term, substitute 18 for n. So:

[tex]x_{18}=3(3)^{18-1}[/tex]

Subtract:

[tex]x_{18}=3(3)^{17}[/tex]

Evaluate:

[tex]x_{18}=3(129140163)[/tex]

Multiply:

[tex]x_{18}=387420489[/tex]

And we're done!

Answer:

It is in the tenths place

Step-by-step explanation:

In the number 9.365, 3 is in the tenths place.

Answer:

6x=6

Step-by-step explanation:

13x+2=15

13x=13

x=1

Answer: 6x = 6

X = 1

Step-by-step explanation:

First you need to find the value of x with the equation given.

13x = 13 (I subtracted 2 from both sides)

X = 1

Answer:

ounces, cups, pints, quarts, and gallons

Step-by-step explanation:

Answer:

No, because there are not two pairs of congruent corresponding agles

Answer:

(d) £90

Step-by-step explanation:

Total raffle prize = £240

Ratio of sharing

Monika : Robert

3 : 5

The amount Monika get is calculated as

3/(3 + 5) × £240

= 3/8 × £240

= 3 × 30

= £90

Therefore, the amount Monika gets is £90

Answer:

Step-by-step explanation: 14 11/12 rounds up to 15 and 3 1/6 is closer to 3 so the answer would be 18

Answer:

11480.22

Step-by-step explanation:

5.1x3.2 + 5.1x103 + 103x3.2 + 103x103

16.32 + 525.3 + 329.6 + 10609

11480.22

Answer:

1 and 8 , and 4 and 8 are congruent

The rest are supplementary

Step-by-step explanation:

Answer: 84.93

Step-by-step explanation:

when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93

Answer:

84.93

Step-by-step explanation:

7.28 x 6 +41.25

Do 7.28 x 6

43.68+41.25

Then add together

84.93

Answer:

[tex]= 4x-x^2\\\\[/tex]

Step-by-step explanation:

Let the number be x;

The product of 4 and the number will be;

[tex]= 4 * x\\\\= 4x[/tex]

The the square of the number is given as;

[tex]= x^2\\[/tex]

Taking the difference of both expressions above;

[tex]= 4x-x^2\\\\[/tex]

Factor out the common term:

[tex]= x(4-x)\\\\[/tex]

Hence the difference between the product of 4 and a  number and the square of the number is [tex]= 4x-x^2\\\\[/tex]

Answer:

Salesman is not correct

Step-by-step explanation:

First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:

Bonus Share For 7 Salesmen = (0.6)(£ 2100)

Bonus Share For 7 Salesmen = £ 1260

Now, this is equally divided among 7 salesmen:

Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7

S₁ = £ 180

Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:

Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10

S₂ = £ 210

S₂/S₁ = £ 210/£ 180

S₂/S₁ = 1.16

S₂ = 1.16S₁

S₂ = 116% of S₁

This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.

Therefore, salesman is not correct

Answer:

37

Step-by-step explanation:

180-(81+62)=37

Answer:

x = 37°

Step-by-step explanation:

The sum of all internal angles in a triangle will always equal 180.

Thus, we know that 81 + 62 + x must equal 180.

81 + 62 + x = 180

143 + x = 180

Subtract 143 from both sides:

x = 180 - 143

x = 37

Answer: x = 37°

Answer:

8

Step-by-step explanation:

8*8=64

Answer:

Step-by-step explanation:

Hello.

3/8 divided by 2 can be put into the equation 3/8 ÷ 2/1.

You can't divide fractions, so you flip the divisor's fraction, then switch the equation to multiplication. The equation is now 3/8 × 1/2. Multiply across

--> 3 * 1

________

--> 8 * 2

Finishing the equations, we are left with 3/16. This cannot be reduced, so the final answer is 3/16

Answer:

Yes, Joe can afford the graphic novels.

Explanation:

[ Multiply ]

13 · 3 = 39

Joe will be spending at total of $39 if he buys 3 graphic novels. He will have a total of $11 left over. Joe can afford the graphic novels.

Answer:

the perimeter is 50 inches squared

Step-by-step explanation:

if the length is 4 times that means the sides are 20 and 5

Answer:

a. [tex]\frac{3}{50}[/tex]

Step-by-step explanation:

The formula for rate of change is:

[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex]   =  [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Your points are (1000, 310) and (3500, 460)

So

[tex]x_{1}[/tex] = 1000

[tex]y_{1}[/tex] = 310

[tex]x_{2}[/tex] = 3500

[tex]y_{2}[/tex] = 460

Plug into the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50

150/50 = 3     2500/50 = 50

so:

[tex]\frac{3}{50}[/tex]

Answer:

y=1.5x+9

Step-by-step explanation:

We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.

The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.

[tex]\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}[/tex]

Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.

Answer:

[tex]\boxed {\tt B. \ x=45}[/tex]

Step-by-step explanation:

x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.

Add x and 3x, and set that equal to 180.

[tex]x+3x=180[/tex]

Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.

[tex](x+3x)=180[/tex]

[tex]4x=180[/tex]

Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{4x}{4} =\frac{180}{4}[/tex]

[tex]x=\frac{180}{4}[/tex]

[tex]x=45[/tex]

x is equal to 45, so the correct answer is B. 45

In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).

Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.

Then,

[tex] \angle TRS + \angle TRV = 180 \degree[/tex]

In the question, given angle TRS = x and angle TRV = 3x

[tex]x + 3x = 180 \degree[/tex]

[tex]4x = 180 \degree[/tex]

Now, divide 4 from both sides because we need to find x.

[tex]x = \frac{180 \degree}{4} [/tex]

[tex]x = 45 \degree[/tex]

It was given that Angle TRS is x

So, Angle TRS = 45°

Option B

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Answer:

X=30

Step-by-step explanation:

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]8x-3(2x-4) = 3(x-6)[/tex]

[tex]8x-6x+12 = 3x-18[/tex]

[tex]2x+12 = 3x-18[/tex]

[tex]2x=3x-30[/tex]

[tex]5x= -30[/tex] Divide by 5 next

[tex]x=-6[/tex]

Hope this helps, have a great day:)

Answer:

$1008.35

Step-by-step explanation:

938$+  70.35$ from overtime.

Answer:

1008.35

Step-by-step explanation:

I believe that's the answer

Answer:

8000,I think this is right answer

Answer:

.287

Step-by-step explanation:

5 rounds up which makes the 6 a 7.

Answer:

30°

Step-by-step explanation:

Let the length of shorter side of rectangle be x units.

Therefore, length of diagonal = 2x

In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.

Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].

[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]

Answer:

RS = 2.4 cm

Step-by-step explanation:

RS + ST = RT

RS + 1.6 = 4

Subtract 1.6 from both sides.

RS = 4 - 1.6

RS = 2.4 cm

This question was not written properly

Complete Question

(7.006 x 10⁴¹) x (5.09 x 10²²)

OA) 3.566 x 10⁴¹

OB) 3.566 x 10⁶²

ОС) 3.566 x 10⁶³

OD)3.566 x 10⁶⁴

Answer:

D. 3.566 × 10⁶⁴

Step-by-step explanation:

We are asked to solve:

(7.006 x 10⁴¹) x (5.09 x 10²²)

When we multiply this together

= (7.006 × 5.09 ) × 10(⁴¹+²²)

= (7.006 × 5.09 ) × 10⁶³

= 35.66054 × 10⁶³

= 3.566054 ×10⁶⁴

Approximately = 3.566 × 10⁶⁴

Answer:

a. 1/25

b. 25/1

Step-by-step explanation:

There are 2 black 7s in a deck (7 of spades and 7 of clubs).  So there are 50 cards that are not black 7s.

The odds in favor of drawing a black 7 is therefore 2/50 = 1/25.

The odds against drawing a black 7 is therefore 50/2 = 25/1.