if a=b and b = 25 ,what is a + 24

Answer:

D

Step-by-step explanation:

Edge

The summation of the given geometric series is 70.5.

Geometric series is the sum of an infinite number of terms that have a constant ratio between the successive terms.

[tex]s_{n}= a\frac{(r^{n} -1)}{(r-1)}[/tex]     (when r>1)

or

[tex]S_{n} =\frac{a(r^{n}-1) }{1-r}[/tex]          (when r<1)

where,

r is the common ratio

a is the first term of first term of the series.

n is the total number of terms.

According to the given question

we have

geometric series [tex]\frac{1}{2} +2+8+32+128[/tex]

total number of terms, n=5

first term a =[tex]\frac{1}{2}[/tex]

[tex]r=\frac{2}{\frac{1}{2} }=4[/tex]

therefore,

summation of the given geometric series calculated as

[tex]s_{n} =\frac{1}{2} \frac{4^{5}-1 }{4-1}[/tex]

[tex]s_{n} =\frac{1023}{6}[/tex]

[tex]s_{n} = 170.5[/tex]

Hence, the summation of the geometric series is 170.5.

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Answer:

-25

Step-by-step explanation:

-30+5 = -25

Answer:

Step-by-step explanation:

we know two sides of a triangle, one side is 7 feet, the other is 12 feet , so use Pythagoras theorem

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]

[tex]C^{2}[/tex] = [tex]7^{2}[/tex] + [tex]12^{2}[/tex]

[tex]C^{2}[/tex] = 49 + 144

[tex]C^{2}[/tex] = 193

C = [tex]\sqrt{193}[/tex]

C = 13.89 feet

Answer:

The square of the hypotenuse equals the square of the sum of the other two sides.

13.89ft

Step-by-step explanation:

The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.

Height of the Tent Pole = 7ft.

Base of the Pole of the Tent = 12ft.

Now we will use Pythagoras theorem to find how long the rope is.

Use of Pythagoras theorem

Hence, the length of the rope is 13.89ft.

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Answer:

1.3 days

Step-by-step explanation:

1/5+1/4+1/3

12/60+20/60+15/60= 47/60

60/47

=1.3

Answer:

Just grabbin points

Step-by-step explanation:

Answer:

B. y = x - 4

Step-by-step explanation:

(x, y) = (3, -1)

y = x - 4

y = 3 - 4

y = -1

Answer:

the clown plz mark brainliest

Answer:

TATE AND BROOKE THOMPSON or any of emma roberts characters

Answer:

45/2

Step-by-step explanation:

U first have to change the mixed number to improper fraction and find the least common multiple

Answer: 3 The pun on sense helps call attention to the economic soundness of the project.​

Step-by-step explanation:

The underlined phrase is the last statement and it is a pun that is meant to show that the plan is a good one because it will both increase jobs and is good for the environment which means that it is sound from both an economic and an environmental perspective.

In using the pun, the entire argument for the project was summarized to show the basic benefits of the plan and show how it would benefit the people.

Using linear functions, it is found that:

a)

[tex]y_A(x) = 8 + x[/tex]

[tex]y_B(x) = 4 + 2x[/tex]

b) They will have the same height after 4 weeks.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

Item a:

Plant A has a height of 8 centimeters and grows 1 centimeter each week, hence:

[tex]y_A(x) = 8 + x[/tex]

Plant B has  a height of 4 centimeters and grows 2 centimeters each week, hence:

[tex]y_B(x) = 4 + 2x[/tex]

The system is:

[tex]y_A(x) = 8 + x[/tex]

[tex]y_B(x) = 4 + 2x[/tex]

Item b:

Equaling the equations:

[tex]y_A(x) = y_B(x)[/tex]

[tex]8 + x = 4 + 2x[/tex]

[tex]x = 4[/tex]

They will have the same height after 4 weeks.

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Answer:

x:y = 4:1

Step-by-step explanation:

Since their ratios are x:y, when they both increase by £20, their ratio is 5:2.

So, x + 20/(y + 20) = 5/2   (1)

When they both decrease by £5, their ratio is 5:1.

So, x - 5/(y - 5) = 5/1    (2)

Simplifying (1) and (2), we have

x + 20/(y + 20) = 5/2  (1)

cross-multiplying, we have

2(x + 20) = 5(y + 20)

expanding the brackets, we have

2x + 40 = 5y + 100

2x - 5y = 100 - 40

2x - 5y = 60     (3)

So,

x -5/(y - 5) = 5/1  (2)

cross-multiplying, we have

(x - 5) = 5(y - 5)

expanding the brackets, we have

x - 5 = 5y - 25

x =  5y - 25 + 5

x = 5y - 20   (4)

Substituting (4 into (3), we have

2x - 5y = 60     (3)

2(5y - 20) - 5y = 60

10y - 40 - 5y = 60

10y - 5y = 60 + 40

5y = 100

y = 100/5 = 20

substituting y = 20 into (4), we have

x = 5y - 20   (4)

x = 5(20) - 20  

x = 100 - 20

x = 80

So, x/y = 80/20 = 4

x/y = 4/1

x:y = 4:1

Answer:

Diagram B

Step-by-step explanation:

Most of the points don't line up with the line itself.

Answer:

Use multiplication and dividing.

Step-by-step explanation:

If you want to convert to a smaller unit, you must multiply.

For example...

4 Feet to Inches:

[tex]4 * 12 =48[/tex] inches

2 Yards to Inches:

[tex]2 * 3 = 6[/tex] feet

[tex]6 * 12 = 72[/tex] inches

If you want to convert to a larger unit, you must divide.

336 Inches to Feet:

[tex]336/12=28[/tex] feet

756 Inches to Yards:

[tex]756/12=63[/tex] feet

[tex]63/3=21[/tex] yards

Answer:

500 is ya best bet

Step-by-step explanation:

Hi,

Using multiplication, 18x31=600.

Hope it helps you

Answer:

1) solution

2x+3*5x=34

2x+15x=34

17x=34

x=34/17

x=2

2) solution

2*4y+3y=44

8y+3y =44

11y=44

y=44/11

y=4

3) solution

4y+5=3y-2

4y-3y=-2-5

y= -7

4) solution

2x+3=4x-1

3+1=4x-2x

4=2x

x=4/2

x=2

5) solution

4(y-1)=3y+3

4y-1=3y+3

4y-3y=3+1

y=4

6) solution

2(1/2y +3)-y=6

2/2y+3-y=6

y+3-y=6

2y=6

y=6/2

y=3

7) solution

8x+2(-4x+11)=13

8x-8x+11=13

11=13

8) solution

2x-3x-9=-4

-x=-4+9

-x=5

x= -5

9) solution

3(3y+1)-5y=11

9y+3-5y=11

4y=11-3

y=8/4

y=2

please marks brainliest I had to spend lot of time typing this.

Answer:

x = -22

Step-by-step explanation:

Subtract 5 from both sides

3x + 5 (-5) = 2x - 17 (-5)  

3x = 2x - 17

Subtract 2x from both sides

3x (-2x) = 2x (-2) -22  

x = -22

Answer:

Step-by-step explanation:

it is true because it is derived from the formula:sin^2 theta+cos^2 theta=1

Answer:

6.6

Step-by-step explanation:

brainliest

its me from the last question

Answer:

13.7

Step-by-step explanation:

It forms a triangle.

They are trying to find the height, cause they say the east-bound car went east so that makes the bottom of the triangle, the width. They also give is the distance in between both cars so that's the hypotenuse so let's set up the equation...

15² - 6² = 189

now we square root it

√189 = 13.7

36

Step-by-step explanation:

We know that

Answer:

x = -1

Step-by-step explanation:

When given the following equation:

3(-4) = 12x

Simplify the left, side to perform the given operations. Remember, when there are parentheses but no operations between the two parentheses, then the operation is mutliplciation.

-12 = 12x

Inverse operations, divide both sides by (12) to undo the operation on the left side,

-1 = x

Answer:

as there is a braket add the distributive law soo it will be -12=12x and rhen u will move the the 12 from x to the other side of the equation u dived it with -12 so u

Step-by-step explanation:

the answer -1=x

Answer:

[tex]x + y = 79[/tex] and

[tex]x - y = 25[/tex]

[tex](x,y) = (52,27)[/tex]

Step-by-step explanation:

Let the variables be: x and y

The equations can be modelled as:

[tex]x + y = 79[/tex] and

[tex]x - y = 25[/tex]

To solve for x and y, we have:

Make x the subject in [tex]x - y = 25[/tex]

[tex]x = 25 + y[/tex]

Substitute [tex]x = 25 + y[/tex] in [tex]x + y = 79[/tex]

[tex]25 + y + y = 79[/tex]

[tex]25 + 2y = 79[/tex]

Collect like terms

[tex]2y = 79 - 25[/tex]

[tex]2y = 54[/tex]

Divide both sides by 2

[tex]y = 27[/tex]

Substitute [tex]y = 27[/tex] in [tex]x = 25 + y[/tex]

[tex]x = 25 + 27[/tex]

[tex]x = 52[/tex]

So, we have:

[tex](x,y) = (52,27)[/tex]

Answer:

Um?

Step-by-step explanation:

Answer:

36.3

Step-by-step explanation:

I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.

[tex]a^2 + b^2 = c^2[/tex]

[tex]a^2 + (40)^2 = (54)^2[/tex]

[tex]a^2 + 1600 = 2916[/tex]

[tex]a^2 = 2916-1600 = 1316[/tex]

[tex]a = \sqrt{1316}[/tex]

[tex]a = 36.27671429[/tex]

When this is rounded up to the nearest tenth, it would go up to 36.3.

So, the length (tallness) of the TV would be 36.3 inches.

Answer:

π x³ /12 cubic units.

hope this helps you and have a nice day

Answer:

i think 8

Step-by-step explanation:

Answer:

35000 would be your answer

Step-by-step explanation:

Answer:

In the case of a polynomial with more than one variable, the degree is found by looking at each monomial within the polynomial, adding together all the exponents within a monomial, and choosing the largest sum of exponents.

Step-by-step explanation:

That sum is the degree of the polynomial.

Answer:

They can, the lines just need to be sloped