please show step by step solution. I'll mark brainliest
p. s x= 110
y=120​

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Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

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As a sort of "check", we can add up partial sums like so

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

Answer:

30

Step-by-step explanation:

A squared + B squared = C squared

24*24= 576 18*18= 324   324+576= 900    square root of 900 is 30

Answer:

answer of question no 1

Step-by-step explanation:

16-2x = 5x+9 (Given)

or, 16-9=5x+2x

or, 7= 7x

or, x = 7/7

or, x= 1

Answer: She had worked 156 hours in all of the month of september.

Step-by-step explanation: ....

Answer:

(10x5+15x3)-7

Step-by-step explanation:

Answer:

The answer is 57

Step-by-step explanation:

25 X 3 = 75

75 - 18 = 57

Good luck :)

Answer:

First multiply 25 by 3 which gives you 75.

You then take 75 minus the amount of pink lemonade she has already sold, which is 18.

Your answer should be 57.

So Sofie has 57 cups of pink lemonade left for sale.

Answer:

2nd one

Step-by-step explanation:

Hope this helps,

Applepi101

Answer:

GA = Ray

Step-by-step explanation:

EB = Line

AB = Line Segment

Answer:

[tex]\text{D. 36.64}[/tex]

Step-by-step explanation:

The Law of Sines is given by [tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex] and works for any triangle.

Therefore, we have the proportion:

[tex]\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}[/tex]

9514 1404 393

Answer:

  a = 9 meters

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  28 m = a + 2m + a + 8m

  18 m = 2a . . . . . . . . . . . . . . . . subtract 10m, collect terms

  9 m = a . . . . . . . . . . . . . . . divide by 2

The value of a is 9 meters.

Answer:

[tex]81\pi in(2) [/tex]

81pi

Answer:

its -4, guy above me is right!

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

That is because when you take 20 to the other side it will be x= 120 -20

x=100 miles

final answer C

Answer:

The humming bird weighs more than the nickls.

you need to compare the decimals.

Step-by-step explanation:

0.16>0.18

Answer:

502

Step-by-step explanation:

504-10=494

494+6=500

500+2=502

answer 502

Step-by-step explanation:

Solution = (-2,1)

Because, the point (-2,1) is tangent to 2 intersecting lines

Answer:

k=1.1

Step-by-step explanation:

-1.1k=-1.21

divide by -1.1 on both sides to cancel out the -1.1 in front of k so you just have k

Answer:

k = 1.1

Step-by-step explanation:

-1.1k= -1.21

Divide each side by -1.1

-1.1k/-1.1 = -1.21/-1.1

k = 1.1

Answer:

0.28

Step-by-step explanation:

To know the probability we first need to know the total number of choices for each character in the license plate. Since there are a total of 10 possible numbers (0-9) and 26 letters in the English Alphabet. Then this means that each character has a total of 36 possible choices. Out of these 36 only 10 are numbers, therefore the probability of the first character being a number is

[tex]\frac{10}{36}[/tex] or 0.2777

If we rounded the decimal to the nearest hundredth it would be 0.28

Answer:

The correct answer is 0.28

Para la estudiantes de Español:

La respuesta correcta es 0.28

Step-by-step explanation:

Write 0.28 as the answer! It's correct.

Escribe 0.28 para la respuesta. Es correcto.

Answer:

q^12

Step-by-step explanation:

q^6^2

We know that a^b^c = a^(b*c)

q^6^2 = q^(6*2) = q^12

Step-by-step explanation:

everything can be found in the picture

Answer:

8 turkey burgers

Step-by-step explanation:

1/4 x 8 = 2

There are 8 turkey burger can Benito make.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Benito has 2 pounds of ground turkey.

And, He needs 1/4 pound to make 1 turkey burger.

Now,

Let the number of turkey burger = x

Since, He needs 1/4 pound to make 1 turkey burger.

Hence, The number of turkey burger made by 2 pounds = 4 × 2

                                                                                         = 8

Thus, The number of turkey burger made by 2 pounds = 8

Learn more about the multiply visit:

brainly.com/question/14176303

#SPJ2

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x - 5y = 9

3x + 4y = 2

Multiply first equation by -3 and the second by 2:

-6x + 15y = -27

6x + 8y = 4            Adding the 2 equations:

23y = -23

y = -1.

Now substitute this value for y in the first equation:

2x - 5(-1) = 9

2x = 9 +5(-1)

2x = 9 - 5

2x = 4

x = 2.

The definition of a compund intrest is:

Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

hope this helps :D

Answer:

200 actual miles

Step-by-step explanation:

Find the actual distance by multiplying 50 by 4, since there are 50 miles in 1 inch.

50(4)

= 200

So, there are 200 actual miles between the two cities.

Answer:

D) adjacent

Step-by-step explanation:

Answer:

adjacent

Step-by-step explanation:

the two angles have a side in common

Answer:

y = -5/4x - 3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - (-4) / -6 - 2

10 / -8

= -5/4

-4 = -5/4(2) + b

-4 = -5/2 + b

-3/2

Answer:

see below

Step-by-step explanation:

x^-2 = 1/x^2  Let x = -2      1/ (-2)^2 = 1/4

x^-1 = 1/x^1  Let x = -2      1/ (-2)^1 = 1/(-2) = -1/2

x^0 = 1  

x^1 = x  Let x = -2      (-2)

x^2 =   Let x = -2      (-2)^2 = 4

Answer:

1)¼

2)½

3)1

4)2

5)4

Step-by-step explanation:

recall that,

[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } [/tex]

we want to evaluate [tex]x^{-2}[/tex] for x=-2

to do so substitute the given value of x

[tex] \displaystyle {2}^{ - 2} [/tex]

apply the formula:

[tex] \displaystyle {2}^{ - 2} = \frac{1}{ {2}^{2} } [/tex]

simplify square:

[tex] \displaystyle {2}^{ - 2} = \boxed{\frac{1}{ 4} }[/tex]

likewise substitute the given value of x to x^-1:

[tex] \displaystyle {2}^{ - 1} [/tex]

apply the formula:

[tex] \displaystyle {2}^{ 1} = \frac{1}{ {2}^{1} } [/tex]

[tex] \displaystyle {2}^{ 1} = \boxed{\frac{1}{ {2}^{} } }[/tex]

substitute the value of x

[tex] \displaystyle {2}^{ 0} [/tex]

it's a universal truth that x⁰=1 Thus

[tex] \displaystyle \boxed{1}[/tex]

Substitute the given value of x to x¹ and x² respectively

[tex] \displaystyle {2}^{ 1} \quad \bigg | \quad {2}^{2} [/tex]

simplify:

[tex] \displaystyle \boxed{2} \quad \bigg | \quad \boxed4[/tex]

and we're done!

Answer:

3/2

Step-by-step explanation:

Answer:

B) 3^-5 (1 / 243) and D) 2^5 x 6^-5 (1 / 243)

Step-by-step explanation:

3 to the negative 5th power as a fraction is

1 / 243.

2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.

Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).