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2 years ago

Which equations may be used to determine the 3 consecutive integers whose sum is 127?

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

7 0

Answer:

a and b.

Step-by-step explanation:

I’ll explain by giving an example.

Let’s say that: a=3;b=4;c=5; => they all are consecutive -> their sum is 12.

=> if we use a) n=3 => 3*n+3=3*3+3=12 => correct.

b) n+(n+1)+(n+2)= 3+4+5=12=> correct.

c)n+2n+3n=3+6+9=18=>incorrect.

d)3n=3*3=9=>incorrect.

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Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

PLEASE HELP ASAP WILL MARK THE BRAINLEST

statuscvo [17]

Answer:

similar triangles

Step-by-step explanation:

First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.

From math, let's call the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if is the area of triangle ABC, and is the area of triangle DEF, then we can write the following relationship:

4 0

3 years ago

Please answer this correctly

jolli1 [7]

Answer:

6 times

Step-by-step explanation:

1/9 chance you get the orange marble. If you pick 54 times, you can expect to get the orange marble 6 times.

5 0

3 years ago

Alexandra paid $7 to park her car for 3 hours at the parking garage. The garage charges an hourly parking rate.

soldi70 [24.7K]

2.333p=c
i am not sure really what you want but

8 0

2 years ago

Read 2 more answers

. Harold works at a men's clothing store, which marks up its retail clothing by 27%. The store purchases pants for $74.00, suit

Paraphin [41]

Answer:

567.69

Step-by-step explanation:

Let p represent the original price

The Mark up is 27%

= 27/100

= 0.27

= p + 0.27p

= 1.27p

The retail price for pants is

= 1.27(74)

= 93.98

The retail price for suit jacket is

= 1.27(325)

= 412.75

The retail price for dress shirt is

= 1.27(48)

= 60.96

Therefore the markup for a pair of pants, dress shirts and suit jacket can be calculated as follows

= 93.98 + 412.75 + 60.96

= 567.69

4 0

2 years ago