Find the infinite geometric sum, if possible: 50 + 150 + 450 + …

Answer:

Step-by-step explanation:

Answer:

24 pi/3 or approximately 25.12 cubic feet

Step-by-step explanation:

A cone's volume is a third of a cylinder's volume.

Answer:

square root of 80 or about 8.9 feet

Step-by-step explanation:

Use the Pythagorean Theorem:

8 squared times 4 squared=80

=square root of 80

Answer:

x² - 10x + 25

Step-by-step explanation:

Given

(x - 5)²

= (x - 5)(x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 5) - 5(x - 5) ← distribute both parenthesis

= x² - 5x - 5x + 25 ← collect like terms

= x² - 10x + 25

Answer:

m∠A = m∠2

Step-by-step explanation:

38° + m∠2 + 108° = 180°

The above statement is true because the sum of angles on a straight line is 180°

m∠A + 108° + 34° = 180°

This is also true because the sum of angles in a triangle is 180°.

m∠A = m∠2

This statement is false because 34°≠32°

m∠2 = 34°

This statement is true because:

m∠2 = 180-38-108=34°

Answer:

C. m∠A = m∠2

Step-by-step explanation:

Placing the interior angles of a triangle adjacent to each other forms a straight angle.

Thank me if you learned from me and give me 5 stars it it is right!

Answer:

The correct answer is 2 and -11

Step-by-step explanation:

The price of the 4rth item is $0.50.

The three prices add to 1.50 + 3.00 + 4.00 = $8.50.

The three prices multiply to 1.50 x 3.00 x 4.00 = $18.00.

You might see that adding another $0.50 will take the total to $9.00, and multiplying by another $0.50 will take the product to $9.00 also, but the answer can also be found using algebra. Let's call the unknown price P:

1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P

8.50 + P = 18.00 x P

8.50 = 18.00 x P - P

8.50 = 17.00 x P

8.50/17.00 = P

P = 0.50.

Problem-solving is defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Final answer:

To solve the puzzle, we create an equation with the fourth price as 'x' and set the sum of the prices equal to the product of the prices. After simplifying, we find that the fourth item must cost $2.00 to satisfy the condition.

Explanation:

The student is faced with a mathematical puzzle involving the addition and multiplication of prices of items purchased. The condition is that the prices added together equals the product of the prices. Given three of the prices as $1.50, $3.00, and $4.00, let us assume the price of the fourth item is x. Therefore:

The equation to solve is:

$1.50 + $3.00 + $4.00 + x = $1.50 × $3.00 × $4.00 × x

Simplifying the equation:

$8.50 + x = $18.00 × x

Subtracting $8.50 from both sides gives us:

x = $18.00 × x - $8.50

Dividing both sides by x:

1 = $18.00 - $8.50 / x

Finally, solving for x:

x = $18.00 / ($18.00 - 1)

x = $2.00

Thus, the price of the fourth item is $2.00.

Answer:

45.1

Step-by-step explanation:

The original amount is 82

But the wrong amount is 45

So we will have to calculate the percentage for the error

82-45

37

So %error= 37/82 ×100

=3700/82

=45.121~45.1( to nearest tenth)

So the final answer is 45.1%

Answer:

No

Step-by-step explanation:

La pagina e bloccata

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  speed = distance/time

  distance = speed×time

__

Use the given time & distance to find the speed. Apparently, we're to assume the speed remains constant, so the remaining distances will be the product of speed and time.

The plane flies 610 miles in one hour.

Answer:

c.4.5 and 5.5

Step-by-step explanation:

Answer:

5.75 and 6.25

Step-by-step explanation:

i had it on a test

Answer:

523.3 cubic centimeters

Step-by-step explanation:

I'm assuming you mean sphere, not square.

Volume of a sphere:

V = 4/3 * πr^3

Plug in our value for radius:

V = 4/3 * π5^3

Simplify:

V = 4/3 * 3.14 * 125 = 523.3 cubic centimeters

y=0.25x

Step-by-step explanation:

the initial statement is

y

∝

x

to convert to an equation multiply by k the constant of

variation

⇒

y

=

k

x

to find k use the given condition

y

=

0.5

when

x

=

2

y

=

k

x

⇒

k

=

y

x

=

0.5

2

=

0.25

Answer:

y=2.5

Step-by-step explanation:

Proportion

(2/.5)=(10/y)

Hope this will help u...

Answer:

145/12 or 12.08333333

​

Step-by-step explanation:

Answer:

[tex]-2[/tex]

Step-by-step explanation:

Step 1:  Use PEMDAS

Parenthesis, Exponent, Multiplication, Division, Addition, Subtract

Addition first so, start adding from the left

[tex]6 + 5 + 2 - 15[/tex]

[tex](6 + 5) + 2 - 15[/tex]

[tex]11 + 2 - 15[/tex]

[tex](11 + 2) - 15[/tex]

[tex]13 - 15[/tex]

Now, subtract the last two numbers

[tex]13 - 15[/tex]

[tex](13 - 15)[/tex]

[tex]-2[/tex]

Answer:  [tex]-2[/tex]

Answer:

Your answer would be -2

Step-by-step explanation:

Use the rules of PEMDAS.

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

For your question you have only subtraction and addition

Addition comes first so:

6+5= 11

then 11+2=13

then subtract 15

and you get -2

Hope this helps and mark me Brainliest please.

:):):):):)

To find Ben's age, we establish an equation based on the given information that Ben is three times as old as Daniel and four years older. Solving this equation reveals that Daniel is 2 years old, therefore, Ben is 6 years old.

The question states that Ben is 3 times as old as Daniel and also 4 years older than Daniel. To solve for Ben's age, let's assign the variable D to represent Daniel's age. Therefore, Ben's age can be expressed as 3D. It's also stated that Ben is 4 years older than Daniel, which gives us another equation, Ben's age equals Daniel's age plus 4 (D + 4).

Setting these two expressions for Ben's age equal to each other gives us: 3D = D + 4. By solving this equation, we subtract D from both sides to get 2D = 4. Dividing both sides by 2 gives us D = 2, which is Daniel’s age.

To find Ben's age, we multiply Daniel’s age by 3, as Ben is three times older than Daniel. So, Ben's age is 3 * 2 = 6 years old.

Answer:

32 1/4ft pieces

Step-by-step explanation:

To get the answer divide 8 by one-fourth:

4*8 = 32 pieces

Support me by selecting my answer as brainiest.

Answer: The answer to you question is 2

Step-by-step explanation:

Step one: Divide the 8 by 1/4

Step two: Simplify the amount you get (which should be 2)

Step three: Box your answer

Answer:

im not sure but it might be 75

Step-by-step explanation:

Answer: 28 flowers

Step-by-step explanation: if the ratio is 5 : 2 that means that the ratio was multiplied by four to get 20 for the number of lilies . multiply 2 times 4 to get 8 and then add that to the totally number of lilies to get 28 flowers in total .

There are 28 flowers in her garden.

Ratio of flowers lilies to daises are 5:2, Number of lilies  = 20 by this information total number of flowers in Mrs. Gomez to be determine.

The ratio can be defined as between two quantity the quantity of 1 present relative to quantity 2.

Let there are "d" number of daises in garden, than ratio can be.
20/d = 5/2
d = 8
Number of daises = 8
Now,
Total number of flowers = 20+8
                                         =  28

Thus, there are 28 flowers in her garden.

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Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

[tex]y = 3x - 2.[/tex]

[tex]10(x + \frac{3}{5} ) = 2y[/tex]

A. [tex]y = 5x + \frac{3}{10}[/tex]

B. [tex]y = 5x + 3[/tex]

C. [tex]y = \frac{1}{5} x + \frac{3}{25}[/tex]

D. [tex]y = \frac{1}{2} x + 6[/tex]

Answer:

B. [tex]y = 5x + 3[/tex]

Step-by-step explanation:

Given

Equation 1: [tex]y = 3x - 2.[/tex]

Equation 2: [tex]10(x + \frac{3}{5} ) = 2y[/tex]

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

[tex]10(x + \frac{3}{5} ) = 2y[/tex]

Open the bracket

[tex]10*x + 10 *\frac{3}{5} = 2y[/tex]

[tex]10x + \frac{30}{5} = 2y[/tex]

Simplify fraction

[tex]10x + 6 = 2y[/tex]

Divide through by 2

[tex]\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}[/tex]

[tex]5x + 3 = y[/tex]

Re-arrange

[tex]y = 5x + 3[/tex]

The next step is to compare each of option A through D with [tex]y = 5x + 3[/tex]

A.

[tex]y = 5x + \frac{3}{10}[/tex] is not equal to [tex]y = 5x + 3[/tex]

We check the next available option

B.

[tex]y = 5x + 3[/tex] is equal to [tex]y = 5x + 3[/tex]

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

C.

[tex]y = \frac{1}{5} x + \frac{3}{25}[/tex]

Convert fraction to decimal

[tex]y = 0.2x + 0.12[/tex]

This is not equal to [tex]y = 5x + 3[/tex]

D.

[tex]y = \frac{1}{2} x + 6[/tex]

Convert fraction to decimal

[tex]y = 0.5x + 6[/tex]

This is not equal to [tex]y = 5x + 3[/tex]

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

Answer:

The answer is B

Step-by-step explanation:

Can i have Brainliest

Answer:

The area of the blank M is 326.56m²

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes

Given data

Diameter of flower bed d=22m

Radius of flower bed r= 11m

Width of side walk x =4m

To solve for the area of the blank we need to subtract the area of the side walk from the area of the flower bed

But we don't know the diameter of the side walk

Let the diameter of the side walk be D= diameter of flower bed +2(width of the side walk )

D= 22+2(4)

D=22+8

D=30m

Radius of side walk is R=30/2 =15m

Area of blank =area of side walk minus area of flower bed

Area of circle =πr²

Area of blank M = πR²-πr²

M= π(R²-r²)

M= 3.14(15²-11²

M=3.14(225-121)

M=3.14(104)

M= 326.56m²

The area of the blank M 326.56m²

M to the power of 2 =326.56²=106641.43

The possible solutions are -3 and 7, and the extraneous solution is x = -3,

From the steps shown, the last step is:

[tex]0 = (x + 3)(x - 7)[/tex]

Rewrite as:

[tex](x + 3)(x - 7)=0[/tex]

Split

[tex](x + 3)=0\ or\ (x - 7)=0[/tex]

Remove brackets

[tex]x + 3=0\ or\ x - 7=0[/tex]

Solve for x

[tex]x =-3\ or\ x =7[/tex]

So, the possible solutions are -3 and 7

Substitute -3 and 7 for x in the original equation to determine the extraneous solution.

[tex]\sqrt{30 - 2x}= x - 3[/tex]

[tex]\sqrt{30 - 2(-3)}= -3 - 3[/tex]

[tex]\sqrt{36}= -6[/tex]

Take square root of 36

[tex]6= -6[/tex]

[tex]\sqrt{30 - 2x}= x - 3[/tex]

[tex]\sqrt{30 - 2(7)}= 7- 3[/tex]

[tex]\sqrt{16}= 4[/tex]

Take square root of 16

[tex]4= 4[/tex]

Hence, the extraneous solution is x = -3, because [tex]6 \ne -6[/tex]

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The both the correct answer's displayed in the image below.

The equation that have no solution is:  6x + 1 = 3(2x - 4).

The correct option is the first option.

Here, we have to check which of the equations have no solution, we need to solve each equation and see if they lead to a contradiction or an inconsistency.

If the variable (x) cancels out during the solving process, it means that the equation has no solution.

1) 6x + 1 = 3(2x - 4)

Expand the right side: 6x + 1 = 6x - 12

Subtract 6x from both sides: 1 = -12

In this case, we end up with a contradiction (1 = -12), which means there is no solution.

2) 2 - 5x = 7x - 12

Add 5x to both sides: 2 = 12x - 12

Add 12 to both sides: 14 = 12x

Divide by 12: x = 14/12 = 7/6

This equation has a solution.

3) 4(3 - x) = 2(6 - 2x)

Expand both sides: 12 - 4x = 12 - 4x

Subtract 12 from both sides: -4x = -4x

In this case, the variable (x) cancels out, which means any value of x would satisfy the equation.

So, this equation has infinitely many solutions.

4) 5(x + 2) = 2(x - 4)

Expand both sides: 5x + 10 = 2x - 8

Subtract 2x from both sides: 3x + 10 = -8

Subtract 10 from both sides: 3x = -18

Divide by 3: x = -18/3 = -6

This equation has a solution.

5) -4(x + 3) = 4(x - 1)

Expand both sides: -4x - 12 = 4x - 4

Add 4x to both sides: -4x - 4x - 12 = 4

Combine like terms: -12 - 4 = 8x

Combine like terms on the left side: -16 = 8x

Divide both sides by 8 to isolate x: x = -2

This equation has a solution.

So, the equation that have no solution is:  6x + 1 = 3(2x - 4).

Hence, The correct option is the first option.

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Final answer:

To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. The equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x).

Explanation:

To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. Let's go through each equation:

So, the equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x). The correct answers are A and E.

Answer:

i think its B

Step-by-step explanation:

try to make the q more simple

Answer: 3. d= -4    , 4. m= -3  , 5. w= 82 , 6. x=42 , 7. x=24 , 8. x= -60

Step-by-step explanation:

3. Step 1: Add 6 to both sides.

d−6+6=−10+6

d=−4

4. Step 1: Add 14 to both sides.

m−14+14=−17+14

m=−3

5. Step 1: Add 23 to both sides.

w-23+23=59 + 23

w= 82

Continue to repeat the step for the other ones. If there is a positive then subtract on both sides!

Answer:

a.

Clear Prints = [tex]2p[/tex]

Sue = [tex]15 + 0.5p[/tex]

b.  10 posters

c.  See Below

d.  Clear Prints

e. See Below

Step-by-step explanation:

Complete Question:

Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

b. For what number of posters is the cost the same for both companies? Explain.

c. Which company do you think the class should buy posters from? Explain your reasoning.

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?

Solution:

a.

Let the number of posters be "p" so

Clear Print would take 2 * p or "2p"

Sue would take a fixed cost of $15 and 0.5p, so "15 + 0.5p"

b.

We want cost of both to be same. So we can equate:

[tex]2p=15 + 0.5p[/tex]

Now, using algebra, we can solve for "p", the number at which both of the printers will cost same. Lets do this:

[tex]2p=15 + 0.5p\\2p-0.5p=15\\1.5p=15\\p=10[/tex]

So, for 10 posters, the cost of both will be same

c.

It depends.

If the number of posters they order is LESS THAN 10, they should order from Clear Prints. If the number of posters they print is "10", then they can choose any one of the printers since cost would be same. If they print more than 10 posters, then they should choose to go with Sue, as it will cost less.

d.

If the budget is $18, they can get:

Clear Prints = 18/2 = 9 posters made

Sue = 15 already gone as fixed cost, so remaining is 18 - 15 = 3

At 0.5 per poster, 3/0.5 = 6 posters

So, taking Clear Prints would be better.

e.

The budget of 18 is increase by 10, so the budget is:

18 + 10 = $28

From clear prints, you can get:

28/2 = 14 posters

From Sue, you can get:

28 - 15(fixed cost) = 13 left for posters

13/0.5 = 26 posters

Definitely, Sue gives more, so decision made at $18 budget to get Clear Prints would be impacted because they should now go with Sue since it will give them better deal and more posters.

Answer:

y=[tex]\frac{5}{3}[/tex]x-12

Step-by-step explanation:

slope= 5/3

y intercept= -12

Answer:

y=\frac{5}{3}x-12

Answer:

x = 4

Step-by-step explanation:

If the triangles are similar then the ratios of corresponding sides must be equal, that is

[tex]\frac{EF}{YZ}[/tex] = [tex]\frac{DE}{XY}[/tex] , substitute values

[tex]\frac{2x-1}{14}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

10(2x - 1) = 70 ← distribute left side

20x - 10 = 70 ( add 10 to both sides )

20x = 80 ( divide both sides by 20 )

x = 4

Answer:

Answer is x=4

Step-by-step explanation:

[tex]given \: that \: def \: is \: similar \: to \: xyz \\ by \: similarity \: theorem \\ \frac{de}{xy} = \frac{ef}{yz} = \frac{df}{xz} \\ \\ \frac{5}{10} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ \frac{1}{2} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ therefore \\ \frac{1}{2} = \frac{2x - 1}{14 } \\ 2x - 1 = 7 \\ 2x = 8 \\ x = 4[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

2 2/5

Step-by-step explanation:

4/5 x 3/1

12/5

=2 2/5

Answer:

Step 1: [tex]\frac{4}{5} /\frac{1}{3}[/tex]

Step 2: Change the fraction 1/3 into a whole number (Reciprocal of 1/3 is 3) [tex]\frac{4}{5} x 3[/tex]

Step 3: Multiply 4 (the numerator of the fraction) by 3.

Step 4: The product is 12/5.

Step 5: Simplify the answer to 2 2/5

Have a nice day and stay safe!