How can properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines?

Answer:

Candle B: 36 minutes

Candle C: 12 minutes

Step-by-step explanation:

Since Candle A burns for 72, and Candle B burns twice as fast, we can divide the 72 by 2 in order to get the time it burns. We will then see that Candle B burns for 36 minutes.

Candle C burns 3 times as fast as candle B so we can divide the 36 minutes it takes for candle B to burn by 3 to get how long it takes Candle C to burn. We then see that it takes 12 minutes for candle C to burn.

Hope this helps!

Answer:

A. 2x+6   is the correct answer

Answer:

78

Step-by-step explanation:

400-244=156

156/2=78

Answer:

78 years old

Step-by-step explanation:

400 − 2 x = 244

400 − 244 = 2 x

156 = 2 x

so the answer would be 78 years old...

Hope that was helpful.Thank you!!!

 Recursive formula of an arithmetic sequence is given by the expression,

                          [tex]T_n=a+(n-1)d[/tex]

                 Where, [tex]T_n=[/tex] nth term

                              [tex]a=[/tex] First term of the sequence

                              [tex]n=[/tex] Number of term

                              [tex]d=[/tex] Common difference

Therefore, number of sticks in the 6th pattern are 32.

                   And number of sticks in the nth pattern are [tex]T_n=5n+2[/tex]

From the picture attached,

Number of sticks in 1st pattern = 7

Number of sticks in 2nd pattern = 12

Number of sticks in 3rd pattern = 17

Sequence formed is 7, 12, 17..... nth term

This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.

Therefore, nth term of the sequence will be,

       [tex]T_n=a+(n-1)d[/tex]

       [tex]T_n=7+(n-1)5[/tex]

       [tex]T_n=5n+2[/tex]

If [tex]n=6,[/tex]

       [tex]T_n=7+(6-1)5[/tex]

       [tex]T_n=7+25[/tex]

       [tex]T_n=32[/tex]

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Answer:

see explanation

Step-by-step explanation:

A translation of 9 units to the right means adding 9 to the x- coordinates of the original points, while the y- coordinate remains unchanged, thus

X(- 6, 3 ) → X'(- 6 + 9, 3 ) → X'(3, 3 )

Y(4, 5 ) → Y'(4 + 9, 5 ) → Y'(13, 5 )

Z(- 2, - 1 ) → Z'(- 2 + 9, - 1 ) → Z'(7, - 1 )

Answer:

x=±8

Step-by-step explanation:

You add 11 on both sides

x^2=53+11

x^2 = 64 so

x=8 or x=-8

Answer: Suponiendo que la altura del cono y la del cilindro son iguales.

[tex]\pi r^2\times h+\frac{1}{3} \pi r^2\times h=41.86\\\pi (2)^2\times h+\frac{1}{3} \pi (2)^2\times h=41.86\\\\Solving\;for\;h\\h=2.49833[/tex]

Zara ate 50 almonds last week which is 150% as many as she ate last week.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.

Let's assume that she eat x almonds last week

As per the given question, we can write the percentage would be as

⇒ 150% of x = 75

⇒ (150/100) x = 75

Apply the cross-multiplication operation,

⇒ 150x = 7500

Divided by 150 into both sides of the above equation,

⇒ x = 7500/150

⇒ x = 50

Therefore, she eat 50 almonds last week.

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Answer: A.) $4 per shirt

Step-by-step explanation:

Slope of the graph is calculated as the ratio or proportion of chasing ein the y and x axis of a graph.

Slope(m) = [change in y / change in x]

One can draw a right angle triangle to meet the line of best fit provided in the graph to obtain the values for both the y and x axis.

HERE,

y2 = 120, y1 = 40 and x2 = 50, x1 = 30

Slope = (y2 - y1) / (x2 - x1)

Slope = (120 - 40) / (50 - 30)

= 80/20

Slope = 4

$4 per shirt

Answer:

8 weeks

Step-by-step explanation:

Answer:

[tex]78.54:314.16[/tex]

Step-by-step explanation:

First circle area with diameter 10 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 5^2[/tex]

[tex]=78.53981[/tex]

Second circle area with diameter 20 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 10^2[/tex]

[tex]=314.159265[/tex]

[tex]78.53981:314.159265[/tex]

Answer:

78.5 : 314.2

Step-by-step explanation:

Diameter of the first Circle = 10 inches

Diameter of the second Circle = 2(10) [TWICE] = 20 inches

So,

Area of the first circle:

Radius = 5 inches

Area = πr²

A = (3.14)(5)²

A = 78.5 inches²

Area of the second circle:

Radius = 10 inches

Area = πr²

Area = (3.14)(10)²

Area = 314. 2 inches

Now the ratio of the area of smaller circle to the larger circle is

78.5 : 314.2

Answer:

exponential growth

Step-by-step explanation:

f(x)  = 2  * 2^x

This is in the form

y = a * b^x  where a is the initial value and b is the growth rate or decay rate

b > 1 so it is growth

This is  the exponential form

y = mx+b is the linear form

Answer:

1 : 80

Step-by-step explanation:

So you want to check Length of model : Length of real boat

50 cm : 40 m

But since the units don't match, make 40 m into 4000 cm

50 cm : 4000 cm

Divide both sides by 50 and you get

1 : 80

Answer: D

Step-by-step explanation: D

Answer:

-5+(-6 )= -11 so you would pinpoint -11 on the number line

Step-by-step explanation:

Answer:

11 and a 1/2

Step-by-step explanation:

I'm not sure if this is correct but here is my reasoning....

per every 1 there are two 1/2's so multiply 5x2 to get 10.

next, 1/2 is equivelent to 2/4 so subtract 3/4-2/4 (adding another 1/2 to our previous answer of 10 to get 11) and you have 1/4 left.

lastly, since 1/4 is half of 1/2, add 1/2 to 11 to get the final answer of 11 and a 1/2.

there are 11 and a half 1/2's in 5 and 3/4.

Answer:

32x^3 + 4x^2  + 41x - 35

Step-by-step explanation:

Multiply each of the terms in bracket 1 with those in bracket 2.

4x^2 x 8x = 32x^3

4x^2 x -5 = -20x^2

3x x 8x = 24x^2

3x x -5 = - 15x

7 x 8x = 56x

7 x -5 = -35

Now, put them together and simplify:

32x^3 - 20x^2 + 24x^2 - 15x + 56x - 35

After simplifying:

32x^3 + 4x^2  + 41x - 35

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Answer:

The sequence has '+3' each time, so the next will be 10

Step-by-step explanation:

it is 10 cuz it goes from -5 adding 3

Answer:

" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80

Step-by-step explanation:

Take the probability of winning into consideration;

[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 1.80

Answer:

the answer is 1.041

Step-by-step explanation:

you will do.... 12*8/100

The function to model the amount after the discount is x - 0.12x

The function to model the amount after the sales tax is x + 0.08x.

The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

12% = discount on purchases.

8%  = sales tax.

Now,

If the item cost $x

The function to model the amount after discount.

f(x) = x - (12/100)x = x - 0.12x

The function to model the amount after the sales tax.

g(x) = x + (8/100)x = x + 0.08x

Now,

The rule for the composition function calculates the final price you pay Games Shop.

= x + 0.08x - 0.12x

= x - 0.04x

Thus,

The function to model the amount after the discount is x - 0.12x

The function to model the amount after the sales tax is x + 0.08x.

The rule for the composition function calculates the final price you pay Games Shop is x - 0.04x.

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Answer:

12a+62b

Step-by-step explanation:

4a(2+3b)-5b(4a-10)

opening brackets

=8a+12b-20a+50b

=8a-20a+12b+50b

=-12a+62b

The right answer is -2/3

please see the attached picture for full solution

Hope it helps

Answer:

[tex]slope = - \frac{2}{3} [/tex]

Step-by-step explanation:

[tex](2 \: \: \: ,\: \: \: 12) = > (x1 \: \: \: , \: \: x2) \\ (5 \: \: \: ,\: \: \: 10) = > (y1 \: \: \: , \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 10}{2 - 5} \\ = \frac{2}{ - 3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]=24a^2[/tex]

Step-by-step explanation:

[tex]4a\cdot \:6a=24a^2\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:6=24\\=24aa\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\aa=\:a^{1+1}\\=24a^{1+1}\\=24a^2[/tex]

Answer:

Simply multiply across.

since they both have the same base(a),add the powers ie.(1+1)=2.

Hence 4a×6a=24a²

Answer:

WE need the numbers

Step-by-step explanation:

a

Answer:

a)3

b)3

c)?

Step-by-step explanation:

Answer:

Step-by-step explanation:

line 1.

y=3

line 2.

x=-1.2

line 3.

x=3

line 4.

y=-2.6

length=3-(-1.2)=3+1.2=4.2

width=3-(-3)=3+3=6

area=4.2×6=25.2

Answer:

3280cm²

Step-by-step explanation:

We are told the gift box is folded into a Pyramid with a square base.

Hence, we are to find the Surface Area of a square pyramid

From the question, we are given:

Length of the base of the square = 10cm

Triangle

Side length = 10cm

Height = 8 2/3 cm

A square Pyramid has 5 faces: 4 triangles and 1 square.

Step 1

Find the Area of the square

Formula = Side length² this is because all the side of a square is equal.

Length of the base = 10cm

Area of the square = (10cm)²

= 100cm²

Step 2

Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.

Hence, for one triangle.

Area of a triangle = 1/2 × base × height

Base = side length = 10cm

Height = 8 2/3 = 8.6666666667cm

Area of a triangle = 1/2 × 10 × 8.6666666667

Area of a triangle = 43.333333333cm²

Since we have 4 triangles

We would have : 4 × 43.333333333cm²

= 173.33333333cm²

The Area of the 4 equilateral triangles =

173.33333333cm²

Step 3

The Surface area of the Square Pyramid

= Sum of the areas of all the faces.

= 100cm² + 173.33333333cm²

= 273.33333333cm²

Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²

Step 4

The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²

= 3280cm²

Step-by-step explanation:

Before we find the ninth term, we need to find the common ratio. The common ratio in a geometric sequence is the number that every number after the first one is multiplied by. For example, in the sequence {2, 4, 8, 16, 32, ...}, the common ratio is 2.

Now, for our example, the numbers in the sequence alternate between negative and positive numbers. What does that tell us about the common ratio? Well, the common ratio has to be negative because the negative sign keeps alternating.

So we know the common ratio is negative. But what about the rest of the number? Well, we can see that the ratio has a 1 in the numerator because the numerator is the same throughout the sequence (aside from the alternating negative sign).

Now that we've narrowed down the possibilities to -1/x, let's figure out the denominator of the common ratio. The denominator changes from 3 to 9 to 27 to 81. Do you see a pattern there? Each denominator is 3 times the value of the previous denominator. The denominator of the common ratio, then, must be 3.

Ok. We have our common ratio, -1/3, but the question we still need to find the 9th term in the sequence. Well, we can write out the pattern until we get to the term we want. But what if you were trying to find the one hundredth or the one thousandth term? That would take a very long time to write out. Instead, we can take the first number in the sequence (1/3) and multiply it by the our common factor to the power of the remaining terms. As a formula, this looks like: [tex]a_{1} *f^{n-1} = a_{n}[/tex], where a is your first term, f is your common factor and n is the number of the term you are trying to find.

So, finally, we can solve the problem.

1/3 * (-1/3)⁸ = a₉

1/3 * 1/6561 = 1/19683

So the value of the ninth term of the given geometric sequence is 1/19683.

I hope you learned something and it wasn't too difficult to understand.

Answer:

^^ what he said xD

Step-by-step explanation:

It was snowing again and I smiled as I stared at the white flakes fluttering by my window. It was (capitalized the C)Christmas, and my day had been one of the best all year. First I (had removed) awakened in the morning to the sound of my brother (added the n to runing)running madly around the house, yelling that it was Christmas. Jumping out of bed, (capitalized the i that was there)I skipped happily down the stairs, with my brother at my heels, and made my way to the Christmas tree in the living room. My parents(apostrophe removed from between the t and s) groggily walked down the stairs to watch us open (up removed) our presents. My Mom sat down on the couch and dad plopped himself on the floor, grumbling something about coffee. I started opening my presents because, after all, its ladies first. Ripping open the wrapping paper, I stared down at my brand(removed dash)new pink boom box. It was beautiful!(question mark changed to exclamation) (capitalized e)Even more, it came with little, stick-on jewels to decorate the boom box. Mom and Dad finally got their coffee and we all took turns watching each other open presents. I got(get turned to got) many more presents that were absolutely amazing. (changed every one into one word)Everyone spends the rest of the day admiring their gifts and playing with their new toys. "I will remember this Christmas forever,"(added endnote) I thought. (capitalized s)Sighing contentedly, I finally turned away from the snow (removed the e from what was danceing)dancing outside the window and rejoined my family.