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Find four consecutive numbers whose sum equals 218

Softa [21]

Answer: 53, 54, 55, and 56

Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.

4 consecutive numbers can be represented as followed.

X ⇒ first number

X + 1 ⇒ second number

X + 2 ⇒ third number

X + 3 ⇒ fourth number

Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 218

On the left side of the equation, we can combine our x's and our numbers.

4x + 6 = 218

-6 -6 ← subtract 6 from both sides of the equation

4x = 212

÷4 ÷4 ← divide both sides of the equation by 4

X = 53

X ⇒ first number = 53

X + 1 ⇒ second number = 54

X + 2 ⇒ third number = 55

X + 3 ⇒ fourth number = 56

Therefore, our 4 consecutive numbers are 53, 54, 55, and 56.

4 0

3 years ago

Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Inessa [10]

Step-by-step explanation:

1.

true

false

true

2.

yes

no

yes

no

yes

3.

A

4.

7,5 $

6 0

2 years ago

9) Gabe has a 40¢-off coupon for any kind of popcorn. He can choose

Vadim26 [7]

Answer:

Per ounce better buy is Happy popcorn.

Step-by-step explanation:

Given that:

Happy popcorn price for 16 ounces = $1.39

Popper popcorn price for 34 ounces = $2.79

Discount coupon present with Gabe = 40 ¢ = $0.40

To find:

Which brand is the better buy per ounce?

Solution:

First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.

Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99

Price for 1 ounce of Happy popcorn after discount = $\frac{\$0.99}{16}$ = $0.062

Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39

Price for 1 ounce of Popper popcorn after discount = $\frac{\$2.39}{34}$ = $0.070

Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.

Therefore per ounce better buy is Happy popcorn.

6 0

2 years ago

This is a pyramid problem so please help out

Degger [83]

Answer:

Step-by-step explanation:

LA, Laterial Surface Area, is the lateral surface area of a pyramid. In this case, it is the sum of five triangles with base of 12cm and height that can be calculated as follow:

height^2 = 8.26^2 + 20^2 = 468.23

height = 21.64cm

LA = 5*1/2*12*21.64

= 649.2cm^2

SA, Surface Area, is the sum of LA and base area.

Base area = 5*1/2*12*8.26 = 247.8cm^2

SA = 649.2 + 247.8 =897cm^2

Volume, V = 1/3 * base area * height

= 1/3 * 247.8 * 20

= 1652cm^3

4 0

3 years ago

Read 2 more answers

Determine the value of r so that line through. -2,5 and 6,r has a slope of -3,2

Mademuasel [1]

Answer:

R=10

Step-by-step explanation:

-2×-3=6

R=5×2

=10

3 0

2 years ago