Find 6% tax of $12.50 *
Your answer

Answer:

[tex]Sum = (k+1)(k+2)[/tex]

Step-by-step explanation:

Given

k + 1 even numbers

Required

Their sum

This question will be solved using the sum of nth term of an AP

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Where

a = the first even number

[tex]a = 2[/tex]

n = number of terms

[tex]n =k +1[/tex]

d = difference between consecutive even numbers

[tex]d = 2[/tex]

So, the expression becomes:

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(4 + 2k)[/tex]

[tex]Sum = \frac{(k+1)(4 + 2k)}{2}[/tex]

Factorize 4 + 2k

[tex]Sum = \frac{(k+1)*2*(2 + k)}{2}[/tex]

[tex]Sum = (k+1)*(2 + k)[/tex]

[tex]Sum = (k+1)*(k+2)[/tex]

[tex]Sum = (k+1)(k+2)[/tex]

Answer: The answer is 7-b=-y

Step-by-step explanation: You subtract b from one side to the other, and then do the same with y

Answer:

There were 423 adult tickets sold.

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 65 = the number of student tickets sold

x + x + 65 = 715

2x = 715

x = 357.5

x + 65 = 422.5 (round up)

Answer:

adults=325& students=390

Step-by-step explanation:

let me the tickets for adults be x

for students will be x+65

x+x+65=715

2x+65=715

2x=715-65

2x=650

x=650÷2

x=325

Step-by-step explanation:

P(two green candies)

15 candies in total

5 green/15 total

which is equal to 1/3

left over candies= 13 because we are removing 2 green from the total

Answer: (0.809, 0.891)

Step-by-step explanation:

Let p = population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information .

As per given , we have

Sample size : n= 205

Sample proportion: [tex]\hat{p}=\dfrac{174}{205}\approx0.85[/tex]

z-value for 90% confidence = 1.645

Confidence interval for p: [tex]\hat{p}\pm z^* \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.85\pm (1.645)\sqrt{\dfrac{(0.85)(1-0.85)}{205}}\\\\=0.85\pm (1.645)\sqrt{\dfrac{0.85\times0.15}{205}}\\\\= 0.85\pm (1.645)\sqrt{0.000621951219512}\\\\=0.85\pm0.041\\\\=(0.85-0.041,\ 0.85+0.041)\\\\= (0.809,\ 0.891)[/tex]

Hence, the required confidence interval = (0.809, 0.891)

Answer:

Step-by-step explanation:  

Answer:

66

Step-by-step explanation:

Red counters: 120/4=30

Blue counters:120/5=24

Green counters:30+24=54, 120-54=66

Answer:

a = 29

b = 20

Step-by-step explanation:

2a - 1 = 57

    + 1     + 1

2a = 58

/ 2    / 2

a = 29

2a - 1 + 7b - 17 = 180

2 (29) - 1 + 7b - 17 = 180

58 - 1 + 7b - 17 = 180

57 + 7b - 17 = 180

7b + 40 = 180

      - 40     - 40

7b = 140

/ 7      / 7

b = 20

Answer:

I got this question too! I'm not sure

Step-by-step explanation:

Answer:

Act 2 of the Christmas Carol begins with Scrooge getting a visit from the ghost of Christmas present. This spirit is a jolly man filled with happiness and laughter. ... Scrooge sees Bob Cratchit's crippled son, Tiny Tim, who shows so much kindness towards everyone that it warms Scrooge's heart.

Step-by-step explanation:

your welcome

Answer:

I would say the answer would be B if wrong sorry .

Step-by-step explanation:

Answer: 1/3

Step-by-step explanation:

Answer:

(a+k(x-a), b+k(y-b))

I = (5, 5)

N = (8, 3)

R' = (5, 3)

O' = (9, 1)

S' = (11, 9)

Step-by-step explanation:

Answer:

Wow thats long

Step-by-step explanation:

I thinks its b TBH

Answer:  The Length of the rectangle is 18 feet.

The width is 8 feet

Step-by-step explanation:  Perimeter is 2w + 2L

Length here is 2w + 2   Substitute this value for L in the equation.

P = 2w + 2L

52 = 2w + 2(2w + 2)  distribute and add

52 = 2w + 4w + 4

52 = 6w + 4    Subtract 4 from both sides, Then divide both sides by 6 to solve  for w

48 = 6w

8 = w  The width is 8 ft

Substitute into the original expression for Length

Length here is 2w + 2 :  2(8) + 2   16 + 2 = 18

The Length is 18 feet.

Check:   in the original equation P = 2w + 2L

52 = 2(8) + 2(18)

52 = 16 + 36  TRUE!

Answer:

The length would be 18ft the width would be 8ft

Step-by-step explanation:

Answer:

angle 6 is 63

They are alternate to each other

Step-by-step explanation:

Here, we want to get the measure of angle 6 from the diagram

From the diagram,

angle 6 is also 63

The reason for this is because the two angle measures are alternate angles and alternate angles are congruent

Answer:

Step-by-step explanation:

B

Answer:

d 11x + 24

Step-by-step explanation:

Perimeter = 5x + 3 + 2x + 6 + 4x + 15

                 = (5x + 2x + 4x) + (3 + 6 + 15)

                 = 11x + 24

Answer:

a. Assuming gallons of unleaded regular is denoted by r; and unleaded premium by p.

Revenue from one gallon of unleaded regular is $1.299 and from unleaded premium is $1.379.

Revenue function = 1.299r + 1.379p

b. Cost of one gallon of unleaded regular is $1.219 and for unleaded premium is $1.289.

Cost function = 1.219r + 1.289p

c. Total profit = Revenue - Cost

= 1.299r + 1.379p - 1.219r - 1.289p

= 1.299r - 1.219r + 1.379p - 1.289p

= 0.08p + 0.09p

d. If station sells 100,000 gallons of unleaded regular and 40,000 of unleaded premium;

= (0.08 * 100,000) + (0.09 * 40,000)

= 8,000 + 3,600

= $11,600

Answer:

Answer is 11⅔

Step-by-step explanation:

if want convert improper fraction into mixed number you have divide numerator by denominator

35÷3=11 remainder 2

Answer:

C

Step-by-step explanation:

Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units  lol you get what im saying so the answer is C hope this HELPSS!!

By the way follow my insta. exotic. jaliyah if you need anymore help

Answer: $170.25 + $3.78x = $586.05

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

the bottom. 1/23 something it that one

Answer:                                            

p(x)=x^3-4x^2+5x-2

=(2)^3-4(2)^2+5(2)-2

=8-4(4)+10-2

=8-16+10-2

=0

hope it helps mark as brainliest

Answer:

remainder is zero  

quotient is x^2-2x+1

Step-by-step explanation:

Answer:

The answer is C which is 15

Step-by-step explanation:

M decreased by 12 is equal to negative 6

That means:

12 - M = -3

or, 12 - (-3) = M

or, M = 12 + 3

. °. M = 15 Ans

Answer:

m=15

Step-by-step explanation:

m-12=3

add 12 both sides

m=15