If a 16 ounce box of pasta costs $1.39, what is the unit price?

The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.

The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.

The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.

Taking everything together, it follows that the n-th term in the sequence is

[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]

Answer:

1/4

Step-by-step explanation:

Since 0.25 is 1/4 of 1

Answer:

B and D

Step-by-step explanation:

B -> -1.4z multipled by 40 is - 56z, 0.7 multipled by 40 is 28, thus giving us - 56z + 28.

D -> When we expand (8z - 4)(-7) we will get -56z + 28 as 8z multipled by - 7 is - 56z (remember positive times negative equals negative) and - 4 multipled by - 7 is 28 (negative times negative equals positive)

Answer:

The equation of the line is x=-1.

Step-by-step explanation:

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

m=(-9-3)/(-1-(-1))

m=-12/(-1+1)

m=-12/0

undefined.

Since the slope is undefined,

it follows that this is a vertical line with the equation x=-1.

Answer:

(LCM)

Step-by-step explanation:

Least common multiple = LCM

HOPE THIS HELPS :)

Answer:

0.05 or 5%

Step-by-step explanation:

The formula for simple interest is as follows:

A = P(1+rt), with A representing the final amount, P representing the initial amount, r being the rate, and t being time. Plugging our values in, we have

5610 = 4400(1+5.5r). We know that 5 years and 6 months is 5.5 because 6 months = 0.5 years

5610 = 4400(1+5.5r)

expand

5610 = 4400 + 24200r

subtract 4400 from both sides to isolate the variable and its coefficient

1210 = 24200r

divide both sides by 24200 to isolate the variable

r = 0.05 or 5% as 0.05 * 100 = 5

Answer:

7/8

Step-by-step explanation:

1 1/4 is the same as 5/4.

5/4 is also the same as 10/8.

The distance from 3/8 to 10/8 is 7/8.

Hope that helps

Answer:

1 1/4 - 3/8

5/4 - 38

10/8 - 3/8

7/8

Answer:

25.93%

Step-by-step explanation:

Percent change formula is [tex]\frac{(V_2-V_1)}{|V_1|}[/tex]x 100

v2 = value 2

v1 = Value 1

now you substitute in.

[tex]\frac{68-54}{|54|}[/tex]x 100

[tex]\frac{14}{54}[/tex]x100

0.259259x100

= 25.9259% or 25.93%

Answer:

373

Step-by-step explanation:

113+377=490

490-117=373

answer:

=117+373

We know the slope formula.

Therefore, the slope is 2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

Max

Step-by-step explanation:

Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)

Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)

1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.

Answer:

Max played the greater ratio.

Step-by-step explanation:

:)

Answer:

below!

Step-by-step explanation:

Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense

Answer:

  15/61 ≈ 1/4

Step-by-step explanation:

The fraction is the area of Lake Huron divided by the total area.

  (6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61

This is approximately 15/60 = 1/4.

The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.

Answer: (11x+12)(11x−12)

Step-by-step explanation: (11x+12)(11x−12)                                                       (11x+12)(11x+−12)                                                                                                       (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12)                                           121x2−132x+132x−144                                                                                           121x^2-144

Answer:

Step-by-step explanation:

Answer:

y = - [tex]\frac{5}{4}[/tex] x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = [tex]\frac{2-7}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - [tex]\frac{5}{4}[/tex] x + 7 ← equation of line

Clearly, |S| = 50.

Count the multiples of 2 between 1 and 50:

⌊50/2⌋ = ⌊25⌋ = 25

(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)

Count the multiples of 3 between 1 and 50:

⌊50/3⌋ ≈ ⌊16.667⌋ = 16

Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:

⌊50/6⌋ ≈ ⌊8.333⌋ = 8

Then by the inclusion/exclusion principle, we remove from S

25 + 16 - 8 = 33

elements, so that the new set S contains 50 - 33 = 17 elements.

Answer:

0 ≤  x ≤ 20.

Step-by-step explanation:

-10≤2x – 10 ≤30

2x - 10 ≤ 30

2x ≤  40

x ≤ 20.

2x - 10  ≥ -10

2x ≥  0

x ≥ 0.

For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.

For Example:

-10 ≤2x-10 Would be 0 ≤x

Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x

2x-10 ≤30 Would be x ≤20

Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20

So the answer would be 0 ≤ x ≤  20

Answer:

I Don't know

Step-by-step explanation:

I don't know I don't know I don't know

Answer:

put the examples on the test or assignment so i can answer it

Answer:

the answer is defently 405

Step-by-step explanation:

so you have 400 and 5 and 400+5=405

the answer to your question is C. 6^4

Answer:C? sorry if im wrong

Step-by-step explanation:

Answer:

The answer is $7.05.

Hope it helps.

Step-by-step explanation:

Okay so Amy bought 5 shirts for $10.59 EACH.

So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.

So Amy gets $7.05 change back.

Answer:

x = 4

Step-by-step explanation:

    The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.

    In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.

[tex]9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4[/tex]

Answer:

Step-by-step explanation:

9x - 8 = 28 ( converse of isosceles triangle )

(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)

[tex]9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]

Answer:

y= 3x+16

Step-by-step explanation:

y = 3x + 8 ║ y= mx +b

Since lines are parallel, m=3

y= 3x+b

(-3, 7) intersect

7= 3*(-3) + b

b= 7+9

b= 16

y= 3x+16

Step-by-step explanation:

while the other answer is correct, here also the way as the hint suggests :

y - 7 = 3(x - -3) = 3(x + 3) = 3x + 9

y = 3x + 9 + 7 = 3x + 16

and there you have it : the same result just by using the point-slope form first.