Express the series using sigma notation 5 -10 + 20 - 40 + 80 - ...

Answer:

Six visits

Solving steps:

Question:. Francisco has a points card for a movie theater. He receives 55 rewards points just for signing up. He earns 9.5 points for each visit to the movie theater. He needs 112 points for a free movie ticket. How many visits must Francisco make to earn a free movie ticket?

Find out: How many visits required for 112 points.

Solution: Let's make an equation

=> 55 + 9.5x = 112

Let's make x the subject of formula

=> 9.5x = 112 - 55

Substract 55 from 112

=> 9.5x = 57

Divide both sides by 9.5

=> [tex] \frac{9.5x}{9.5} = \frac{57}{9.5} [/tex]

Divide

=> x = 6

Therefore Francisco needs 6 visit to earn a free movie ticket

The number of visits Francisco must make to earn a free movie ticket is 6.

Given that, Francisco receives 55 rewards points just for signing up. He earns 9.5 points for each visit to the movie theater.

Let the number of visits to the movie theater be x.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

He needs 112 points for a free movie ticket.

Now, the equation is [tex]9.5x+55=112[/tex]

[tex]9.5x=112-55[/tex]

[tex]9.5x=57[/tex]

[tex]x=\frac{57}{9.5}[/tex]

[tex]x=6[/tex]

Therefore, the number of visits Francisco must make to earn a free movie ticket is 6.

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Answer:

x = 12 , y = 60

Step-by-step explanation:

The figure has 2 pairs of parallel sides and is therefore a parallelogram.

The opposite sides and opposite angles are congruent , then

x + 3 = 15 ( subtract 3 from both sides )

x = 12

and y = 60

Answer:

11m + 3

Step-by-step explanation:

First you have to find the product of Mai's age and 11. You can do this by adding 11 as the coefficient to the variable m like 11m. Then you have to add 3 to that product, which you can do by adding 3 to it like 11m + 3. In the end, you have an expression that first multiplies Mai's age by 11 and then adds 3.

If she reads 50 pages per day, she will finish the book in 7.5 days

She started reading a book that has 375 pages. she reads 50 pages in one day.

where

The equation for the number of pages she has left to read is modelled as follows:

where

Therefore, she will finish the book the follow number of days:

50x  = 375

x = 375 / 50

x = 7.5

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Answer:

190 in²

Here given :

surface area of a rectangular prism:

2 ( Length * Width + Length * Height + Height * Width )

2 ( 10 * 5 + 10 * 3 + 3 * 5 )

2 ( 50 + 30 + 15 )

2 (95)

190 in²

Answer:

Step-by-step explanation:

Area of rectangle = length x width

Surface Area = sum of area of all surfaces

= sum of area of the 6 rectangles

= 5x10 + 5x10 + 5x3 + 5x3 + 3x10 + 3x10

= 190 square inches

We have given that,

interest rate = 2.76%

simple interest = 3,090

term = 15 years

[tex]Simple Interest = Principal * interest rate * term[/tex]

[tex]3,090 = Principal * .0276 * 15\\3,090 = Principal * 0.414\\3,090 / 0.414 = Principal\\7,463.77 = Principal[/tex]

Therefore,Nate should invest 7,463.77 to meet his goal.

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Answer:

3 sides

Step-by-step explanation:

A triangle has 3 sides.

Answer:

its 3

Step-by-step explanation:

you can know this if you have eyes:)

Answer:

283.385

Step-by-step explanation:

The formula for the area of a circle:

{   A = πr²  }

19/2=9.5

9.5 = radius

9.5 * 9.5 = 90.25

90.25 * 3.14 = 283.385

I think so, if I'm wrong I'll change it !!!

Answer:

I think it's either a or b

Answer:

Step-by-step explanation:

Relative frequency is the frequency of individual data divided by the total frequency.

Frequency of the twelfth grader getting news from internet = 43

Total students= 175

43÷ 175 = 0.247

             = 0.25

Expression consist of numbers, variables, and mathematical operations. The equation that is true is x²+mx+m= (x+2)².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the x²+mx+m is a perfect square trinomial, and we know that the general equation of perfect square trinomial  is given as,

ax²+bx+c=0

where a,b and c are real numbers, and a≠0,

if we compare the equation with our equation

[tex]ax^2+bx+c=0\\x^2+mx+m=0[/tex]

We will get the value of 'a' as 1, b=c=m, therefore, we need a binomial which is when expanded then in its perfect square trinomial the value of b=c, therefore, the only feasible option here is (x+2)².

Hence, the equation that is true is x²+mx+m= (x+2)².

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Answer:

245π = 770cm³

Step-by-step explanation:

so V=πr ²h

input the numbers

V=π x 7² x 5

Type into your calculator and use the pi symbol to get the exact number or type in 3.142.

You should get around 245π which is approximately 770cm³

Hope that helps :)

Answer:

219.8cu in

Step-by-step explanation:

7x3.14=21.98

21.98x10=219.8

Answer: a rotation about point A

Step-by-step explanation:

The rigid transformation would map ΔAQR to ΔAKP is rotation about point A.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have to transform ΔAQR to ΔAKP.

We know that,

Point A is invariant, so we that it cannot be rotation about point R.

Also, the orientation is same then reflection is not happening here.

So, there is rotation about the point A.

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Answer:

1/2

Step-by-step explanation:

Answer: 20.4

Step-by-step explanation:

Answer:

25 multiple choice and 15 open-ended

Step-by-step explanation:

25 x 5 = 125

15 x 15 = 225

125 + 225 = 350

Answer: 42 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(a) The ones that are equivalent to the given fraction are: [tex]\frac{2}{-9}[/tex] and [tex]-\frac{2}{9}[/tex]

(b) The one that is equivalent to the given fraction is: [tex]\frac{-8}{-5}[/tex]

Answer:

Step-by-step explanation:

y < 2 + 3

2 < 5

This statement is correct

Answer: The answer is 21

The temperature in a particular city to decrease at a constant rate of 3°F per hour.

An equation is an expression that shows the relationship between two or more numbers and variables.

At 2:00 a.m., the temperature was 54 degrees Fahrenheit, and at 5:00 a.m., the temperature was 45 degrees Fahrenheit. Hence:

Rate of change = (45°F - 54°F) / (5 - 2) = -3

The temperature in a particular city to decrease at a constant rate of 3°F per hour.

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Answer:

[tex]31.98[/tex]

Step-by-step explanation:

Given the following question:

41% of 78

In order to find the answer, we will use the formula to calculate percentages and solve.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{41\times78}{100} =41\times78=3198\div100=31.98[/tex]
[tex]=31.98[/tex]

41% of 78 is indeed "31.98."

Hope this helps.

Answer:

The cordinate is (7,6)

Step-by-step explanation:

First you count how many squares (units) until you are directly under P. Then you cound how many squares up it is till you get to P.

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[tex][Hello,BrainlyUser][/tex]

Is your question incomplete?

Answer:

$148.80

Step-by-step explanation:

Tip = Increase also known as Add

$124.00 x 20% =24.80
$124.00 + 24.80= 148.80

As you can see it not an answer choice

.Please tell me if it missing anything..

[CloudBreeze]

441

Step-by-step explanation:

420-5%=399 so the diference is 21 so 21+420=441

Answer:

3/5 as a decimal is 0.6 and it is terminating not repeating

Step-by-step explanation:

Answer:

[tex] \frac{12}{48} [/tex]

[tex] \frac{1}{4} [/tex]

0,25

25%