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3 years ago

How many answers does –2(3x – 1) = –6x – 1 have

Mathematics

2 answers:

Anna007 [38]3 years ago

4 0

Answer:

No solution

Step-by-step explanation:

–2(3x – 1) = –6x – 1

Distributive property

-6x + 2 = - 6x - 1

Simplifying

+ 2 = -1

No solution

GaryK [48]3 years ago

3 0

Answer:

it has 3 steps

Step-by-step explanation:

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Each day, I use 4 bags of milk for tea. In how much of a day wlll I use 1/2 of a bag of milk?

Slav-nsk [51]

1 day use 4 bags
? day use 1/2 bag

Cross multiply
(1•1/2)/4= 1/2•1/4= 1/8 of the day

In 1/8 of the day 1/2 of bag of milk will be used.

3 0

3 years ago

Circle 1, Circle 2, and Circle 3 have the same center and have radii, respectively, of r₁ cm, r₂ cm, r₃ cm, where r₁ < r₂ &lt

ira [324]

Answer:

a) A₁ /A₂ = r₁² / (r₂² - r₁²)

b) A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

Step-by-step explanation:

We have Circle 1 and area A₁

Area of circle 2 outside circle 1 = A₂

Area of circle 3 outside circle 2 = A₃

On the other hand we have

A₁ = π*r₁² area of circle 1

A₂´ = π*r₂² area of circle 2

A₃´ = π*r₃² area of circle 3

All areas in cm²

a) A₁ /A₂

A₁ = π*r₁²

According to problem statement A₂ = π*r₂² - A₁

A₂ = π*r₂² - π*r₁² ⇒ A₂ = π* (r₂² - r₁²)

Then A₁ /A₂ = π*r₁² / [π* (r₂² - r₁²)]

A₁ /A₂ = r₁² / (r₂² - r₁²)

b) A₂ /A₃

A₂ = π* (r₂² - r₁²)

And

A₃ = π* (r₃² - r₂²)

Therefore

A₂ /A₃ = π* (r₂² - r₁²) / π* (r₃² - r₂²) ⇒ A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

A₂ /A₃ = (r₂² - r₁²) / (r₃² - r₂²)

6 0

3 years ago

In 7th grade there are 58 students with red-hair and 609 students with another color hair. The numbers of red-haired students in

mr_godi [17]

In 7th grade:

red-hair students =58

another color hair students =609

In 8th grade:

red-hair students =60

Let's assume

another color hair students =x

now, we are given

The numbers of red-haired students in 8th grade are proportional to the numbers in 7th

so,

$\frac{60}{58} =\frac{x}{609}$

now, we can solve for x

we get

$x=609*\frac{60}{58}$

we get

$x=630$

so, students have another color hair in 8th grade is 630.........Answer

5 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

hichkok12 [17]

Answer: -129

<u>Step-by-step explanation:</u>

Given the sequence {-3, 6, -12, 24, ... }, we can see that the first term (a) is -3 and the ratio (r) is $\dfrac{6}{-3} = -2$ .

Input those values into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_7=\dfrac{-3(1-(-2)^7)}{1-(-2)}\\\\.\quad=\dfrac{-3(1-(-128))}{1+2}\\\\.\quad=\dfrac{-3(1+128)}{3}\\\\.\quad=\dfrac{-3(129)}{3}\\\\.\quad=-129$

7 0

3 years ago

The back of jake's property is a creek. Jake would like to enclose a rectangular area, using the creek as one side and fencing f

kow [346]

Answer:

The maximum possible area of the pasture is 26,450 feet square.

Step-by-step explanation:

Let us assume the width of the rectangular area = m ft

and the length of the area = k ft

Also assume: ( one side with k units IS NOT FENCED)

So, the total perimeter of the fencing is:

2 m + k = 460

or, k = 460 - 2m ........ (1)

Now, AREA OF THE RECTANGULAR PORTION = Length x Width = k x m

Put k = 460 - 2m

We get: A = m (460 - 2m)

or, A = 460 m - 2m²

We need to find the maximum for the parabolic function A = 460 m - 2m²

The function has a maximum value as the quotient in front of x^2 is negative: -2 < 0

A (max) = $c-\frac{b^2}{4a}$ where a = -2, b = 460, c = 0

= $-\frac{(460)^2}{4(-2)} = 26,450$

A max = 26,450 sq ft.

The maximum possible area of the pasture is 26,450 feet square.

7 0

3 years ago