Find the first four terms of the recursive sequence: a1 = 8 and an = an-1+n.

Answer:

The percentages are 267% and 400% respectively.

Step-by-step explanation:

To find the answers of these, you need to divide the second number by the first. This will give you the percentage.

2/3 ÷ 1/4 = 8/3 = 2.67 = 267%

You can do the same for the second one.

2/3 ÷ 1/6 = 12/3 = 4 = 400%

To determine what percentage 2/3 is of 1/4, calculate (2/3) / (1/4) * 100, resulting in 266.67%. To find the percentage 2/3 is of 1/6, calculate (2/3) / (1/6) * 100, resulting in 400%.

When finding the percent of a fraction, you are essentially calculating what part of 100 the fraction represents. To find what percent 2/3 is of 1/4, you need to set up a proportion such that 2/3 is to 1/4 as x is to 100.

To solve this, you divide 2/3 by 1/4 and then multiply by 100:

Percent = (2/3) / (1/4) * 100

Percent = (2/3) * (4/1) * 100

Percent = 8/3 * 100

Percent = 800/3

Percent = 266.67%

Similarly, to find what percent 2/3 is of 1/6, you can use the same approach by dividing 2/3 by 1/6 and then multiplying by 100.

Percent = (2/3) / (1/6) * 100

Percent = (2/3) * (6/1) * 100

Percent = 12/3 * 100

Percent = 400%

Therefore, 2/3 is 266.67% of 1/4, and 400% of 1/6.

Answer:

522

Step-by-step explanation:

We are given that the price of the motorcycle is 3238 and if we borrow it then the payment per month will be 165 for 24 months.

So the total amount that we are going to pay if we borrow the motorcycle will be 165 × 24  = 3960

While the actual price of the bike is 3438.

Difference in the payment and actual price = 3960 - 3438 = 522

Therefore, you can save 522 by paying cash.

Answer:

Reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Step-by-step explanation:

From the given figure it is noticed that the vertices of preimage are E(-2,1), F(-2,0) and G(-3,0). The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

The triangle E'F'G' is enlargement of mirror image of EFG. Therefore reflect the triangle EFG across y-axis. If a point reflects across y-axis, then

[tex](x,y)\rightarrow (-x,y)[/tex]

The new vertices of the triangle are E(2,1), F(2,0) and G(3,0).

Length of FG is 1 unit and length of F'G' is 4 units. The scale factor is

[tex]\frac{F'G'}{FG}=\frac{4}{1}=4[/tex]

Length of OF is 2 unit and length of OF' is 8 units.

[tex]\frac{OF'}{OF}=\frac{8}{2}=4[/tex]

Rule of dilation with scale factor k and origin as center of dilation is defined as

[tex](x,y)\rightarrow (kx,ky)[/tex]

The vertices of image are E'(8,4), F'(8,0) and G'(12,0).

Since the distance ratio of image and preimage from the origin is same as the scale factor, therefore the center of dilation is origin.

Thus, the triangle EFG can form the triangle E’F’G’ using reflection across y-axis followed by dilation with scale factor 4 and center (0,0).

Notes: In this case dilation with scale factor 4 and center (0,0) followed by reflection across y-axis will give the same results.

Answer:

Dilation by a scale factor of 4 followed by reflection about the y-axis

Step-by-step explanation:

Hope this helps

Answer:

slope = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (6, 5)

m = [tex]\frac{5-6}{6-2}[/tex] = - [tex]\frac{1}{4}[/tex]

Answer:

The tip is $9.00

Step-by-step explanation:

To find the tip, we multiply the tip percentage by the amount of the bill.  The tip percentage must be in decimal form.

18%  = .18

.18* $50.00 = $9.00

The tip is $9.00

Answer:

Rectangles and squares have 90° corner angles.

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

the absolute value function always returns a positive value, that is

| a | = | - a | = a

| [tex]\frac{8}{9}[/tex] | = [tex]\frac{8}{9}[/tex]

Answer:

8/9

Step-by-step explanation:

when you put 8/9 in the lines it will stay the same.

ex: I7I=7

Answer:

if m1= 60° than m2 must= A. 30° Since perpendicular lines form a right

A linear equation is any equation that results in a straight line, as each value is a fixed number from the previous.

In a non-linear equation, a variable is being raised to a power, which results in a curved line.

Answer:

b. y^2 = x^2 + 3   not a linear equation

Step-by-step explanation:

Linear equations are equations in which the variable is in the first degree, or only to the first power.

a. y = x + 6    Nothing above the first power

b. y^2 = x^2 + 3   X and y are to the second power

c. x = 5   Only to the first power

d. 2x = 3y  Only to the first power

Answer:

First man rate is 115

Second man rate is 50

Step-by-step explanation:

Let's assume rate of charge of first men is x

rate of charge of second  men is y

we are given

the sum of the two rates was 165. per hour

so, we get

[tex]x+y=165[/tex]

Two men worked on a car. the first man worked 20 hours and the second man worked 15 hours. Together they charged 3050

so, we get

[tex]20x+15y=3050[/tex]

we can simplify it

[tex]5(4x+3y)=3050[/tex]

[tex](4x+3y)=610[/tex]

so, we got system of equations as

[tex]x+y=165[/tex]

[tex]4x+3y=610[/tex]

We can solve for y from first equation and plug into second equation

[tex]y=165-x[/tex]

[tex]4x+3(165-x)=610[/tex]

[tex]x+495=610[/tex]

[tex]x=115[/tex]

now, we can solve for y

[tex]y=165-115[/tex]

[tex]y=50[/tex]

Answer:

the number is 70

Step-by-step explanation:

let unknown number is 'x'

given that 2x/7=20

multiply by 7 both sides

2x=20*7

divide by 2 on both sides

x=(20*7)/2

x=10*7

x=70

If the quotient of twice a number divided by 7 is 20, then the number is 70.

Let the number be represented as x

Twice the number = 2x

Twice a number divided by 7 = 2x/7

The quotient = 20

To get the value of x:

2x/7   =  20

Cross multiply:

2x  =  7(20)

2x  =  140

x   =  140/2

x  =   70

Therefore, if the quotient of twice a number divided by 7 is 20, then the number is 70.

Learn more here: https://brainly.com/question/11769266

Answer:

JP = MI

Step-by-step explanation:

JP = TI (right)

Angle B = Angle I (right)

Angle BJP = Angle IMT (right: Angle J = Angle M)

JP = MI (wrong: JP = IT)

I hope I helped you.

Answer:

JP = MI

Step-by-step explanation:

Answer:

(a) [tex]\left\{\begin{array}{l}0.8m=2\\p+0.2m=3\end{array}\right.[/tex]

(b) correct choice is 2.5 lb peanuts and 2.5 lb mixture (2.5, 2.5);

Step-by-step explanation:

Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.

1. In m pounds of the 80% almond-20% peanut mixture there are 0.8m pounds of almonds and 0.2m pounds of peanuts.

2. When added p pounds of peanuts to m pounds of mixture, you get (p+0.2m) pounds of peanuts and 0.8m pounds of almonds.

3. In 5 pounds of the 40% almond-60% peanut mixture there are [tex]0.6\cdot 5=3[/tex] pounds of peanut and [tex]0.4\cdot 5=2[/tex] pounds of almonds.

(a) Then you get a system of two equations:

[tex]\left\{\begin{array}{l}0.8m=2\\p+0.2m=3\end{array}\right.[/tex]

(b) Solve this system. From the first equation

[tex]m=\dfrac{2}{0.8}=2.5\ pounds,[/tex]

then

[tex]p+0.2\cdot 2.5=3,\\ \\p=3-0.5,\\ \\p=2.5\ pounds.[/tex]

Answer:i think it is a

Step-by-step explanation:

Answer:

Real Estate appraisal

Step-by-step explanation:

Answer: Barlow has more by 178

Step-by-step explanation:

Solve for Barlow first: 4/9 of 873 is 388 boys.

Solve for Willow: since 2/3 of the students are girls, that means that 1/3 of them are boys: 1/3 of 630 = 210

Barlow has more, now find out by how many: 388 - 210 = 178.

Barlow School has a greater number of boys than Willow School, with 178 more boys.

To determine which school has a greater number of boys, we can calculate the number of boys in each school by using the given ratios. At Barlow School, 4/9 of the 873 students are boys. At Willow School, 2/3 of the students are girls, which means that 1/3 of the students are boys since there are only boys and girls at the school.

First, we calculate the number of boys at Barlow School:

Then, we calculate the number of boys at Willow School. Since 2/3 of the 630 students are girls, we need to find 1/3 to find the number of boys:

To find out which school has the greater number of boys, we compare the numbers:

Thus, Barlow School has a greater number of boys. To find out by how many, we subtract the number of boys at Willow School from the number of boys at Barlow School:

Answer:

John, Gil, Sami, Hank, Tammy

Thats the scores ordered from greatest to least :)

Answer:

345 calories.

Step-by-step explanation:

We have been given that there are 230 calories in 4 ounce of a type of ice cream.

First of all let us find calories per ounce ice-cream by dividing 230 by 4.

[tex]\text{Number of calories per ounce ice-cream}=\frac{230}{4}[/tex]

[tex]\text{Number of calories per ounce ice-cream}=57.5[/tex]

Therefore, the ice-cream contains 57.5 calories per ounce of ice-cream.

Let us find amount of calories in 6 ounces of ice-cream by multiplying number of calories per ounce by 6.

[tex]\text{Amount of calories in 6 ounces of ice-cream}=57.5\times 6[/tex]

[tex]\text{Amount of calories in 6 ounces of ice-cream}=345[/tex]

Therefore, there are 345 calories in 6 ounces of ice cream.

Answer: it is 345 calories.

Step-by-step explanation: i

Answer:

B

Step-by-step explanation:

distribute parenthesis on both sides of the equation

- 24x - 12 = - 12x - 120 ( add 12x to both sides )

- 12x - 12 = - 120 ( add 12 to both sides )

- 12x = - 108 ( divide both sides by - 12 )

x = 9 → B

Answer:

30/80 is the fraction of decrease. Converting this to a fraction with a denominator of 100, we get the fraction; 

37.5/100

Now we just take the numerator of the number to get the percent, which is the solution. 

37.5%

Answer:

The answer is 55

Step-by-step explanation:

6 + 11 + 8 + 14 + 16 = 55

To find equivalent fractions for 1/12 and 3/8 using the least common denominator, multiply the numerator and denominator of each fraction by the appropriate factor to obtain fractions with a common denominator of 24.

To find an equivalent fraction for 1/12 and 3/8 using the least common denominator, we need to determine the smallest multiple that both denominators (12 and 8) have in common. The least common multiple of 12 and 8 is 24.

To convert 1/12 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 2:

1/12 = (1 * 2) / (12 * 2) = 2/24.

To convert 3/8 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 3:

3/8 = (3 * 3) / (8 * 3) = 9/24.

Final answer:

The equivalent fractions with the least common denominator of 24 for 1/12 and 3/8 are 2/24 and 9/24, respectively.

Explanation:

To find an equivalent fraction for each fraction with the least common denominator (LCD), you first need to determine the LCD for 1/12 and 3/8. In this case, the LCD for 12 and 8 is 24. Then, you adjust each fraction to have the denominator of 24.

For 1/12: Multiply both the numerator and the denominator by 2 to get 2/24.

For 3/8: Multiply both the numerator and the denominator by 3 to get 9/24.

Therefore, the equivalent fractions with a common denominator of 24 are 2/24 and 9/24.

To understand equivalency in general, when you multiply the numerator and the denominator of a fraction by the same number, you are creating a fraction that represents the same value as the original.

Answer:

15%

17 kids are part of club A and B

Answer:

B

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

with r = [tex]\frac{-100}{20}[/tex] = [tex]\frac{20}{-4}[/tex] = - 5

the n th term formula ( explicit formula ) is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex]r^{n-1}[/tex]

here r = - 5 and [tex]a_{1}[/tex] = - 4, hence

[tex]a_{n}[/tex] = - 4 [tex](-5)^{n-1}[/tex] with n ≥ 1

This question is solved using geometric sequence concepts, and doing this, we get that the correct option is:

[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex], second option

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is the same, called common ration, and the general equation is given by:

[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]

In which [tex]a_1[/tex] is the first term and q is the common ratio.

-------------------------------------------------------

n an

1 −4

2 20

3 −100

First term is -4, so [tex]a_1 = -4[/tex], then:

[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]

[tex]a_n = -4q^{n-1}, n \geq 1[/tex]

The common ratio is:

[tex]q = \frac{-100}{20} = \frac{20}{-4} = -5[/tex]

Thus:

[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex] is the sequence.

A similar example is given at https://brainly.com/question/24078619

Answer:

The correct answer is D

Step-by-step explanation:

Please see the attachment

Answer:d

Step-by-step explanation:

Answer:

11.7 Gallons

Step-by-step explanation:

First turn the percentage into a decimal then multiply it by the whole number which is 18 and you should get 11.7 and that is how many gallons are currently in the tank

Answer:

11.7

Step-by-step explanation:

To solve this problem, we need to find what is 65 percent of 18.

To do this, we can simply multiply 18 by .65. Don't forget the decimal!

The answer is 11.7

Hope this helps! (Brainliest Please!)

Yes a triangle can have three acute angles. One example is a triangle where each angle is 60 degrees. This would be an equilateral triangle.

Note: acute means the angle is less than 90. For any triangle, the three angles always add to 180.

Answer: Choice A) 9/45 and 8/40

------------------------

If you divide both top and bottom of 9/45 by the GCF 9, you get 1/5

If you divide top and bottom of 8/40 by the GCF 8, you also get 1/5

So the original fractions must be the same

------------------------

Another way to check is to use a calculator and see that 9/45 = 0.2 and 8/40 = 0.2, so 9/45 = 8/40

Or you can subtract the fractions and you should end up with 0, so, 9/45 - 8/40 = 0

-------------------------

You can also set up a proportion and cross multiply

9/45 = 8/40

9*40 = 45*8

360 = 360

The last equation is true, so the first equation must be true

Answer:

0

Step-by-step explanation:

given a + b = 2a ( subtract 2a from both sides )

a - 2a + b = 0

- a + b = 0 ⇒ b - a = 0