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3 years ago

A 5 lb. bag of organic all-purpose flour costs $6.76. What is the unit price? _ per pound

Mathematics

2 answers:

Sonbull [250]3 years ago

7 0

for 5 lb. bag = $6.76

so, for 1 lb. bag = 6.76/5 = $1.35

So, unit prize is $1.35 per pound.

GrogVix [38]3 years ago

7 0

1.35 per pound to get that u need yo divide 6.76 by 5 you will then 1.352 multiply 1.35 with 5 and you will get 6.75 bug you are just one cent off.

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Solve the initial value problem y'=2 cos 2x/(3+2y),y(0)=−1 and determine where the solution attains its maximum value.

zloy xaker [14]

Answer:

$y=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

$x={\pi}{4}$

Step-by-step explanation:

We are given that

$y'=\frac{2cos2x}{3+2y}$

y(0)=-1

$\frac{dy}{dx}=\frac{2cos2x}{3+2y}$

$(3+2y)dy=2cos2x dx$

Taking integration on both sides then we get

$\int (3+2y)dy=2\int cos 2xdx$

$3y+y^2=sin2x+C$

Using formula

$\int x^n=\frac{x^{n+1}}{n+1}+C$

$\int cosx dx=sinx$

Substitute x=0 and y=-1

$-3+1=sin0+C$

$-2=C$

$sin0=0$

Substitute the value of C

$y^2+3y=sin2x-2$

$y^2+3y-sin 2x+2=0$

$y=\frac{-3\pm\sqrt{(3)^2-4(1)(-sin2x+2)}}{2}$

By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$y=\frac{-3\pm\sqrt{9+4sin2x-8}}{2}=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

Hence, the solution $y=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

When the solution is maximum then y'=0

$\frac{2cos2x}{3+2y}=0$

$2cos2x=0$

$cos2x=0$

$cos2x=cos\frac{\pi}{2}$

$cos\frac{\pi}{2}=0$

$2x=\frac{\pi}{2}$

$x=\frac{\pi}{4}$

3 0

3 years ago

He equation 8 − 4x = 0 has real solution(s)

jarptica [38.1K]

Answer:

x=-2

Step-by-step explanation:

subtract 8 from both sides you get -4x=-8

divide by -4

you get x=-2

3 0

3 years ago

Read 2 more answers

What is the inverse equation of the function, y = 3x - 6?

algol [13]

The best answer (and only correct answer) among the answer choices given is:
________________________________________________
[C]: y⁻¹ = (x+6) / 3 .
_________________________________________________
Explanation:
__________________________________________________
Given the original function: y = 3x - 6 ;
_________________________________________________
To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
_________________________________________________
x = 3y <span>− 6 ;

Now, rewrite in "slope-intercept form" ; or y = mx + b ;
that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only); then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope"; and "b" refers to the 'y-intercept".
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So,we have the inverse function:
____ </span>_________________________________________________
x = 3y − 6 ; we want to write in slope-intercept form;
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Add "6" to each side of the equation:
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x + 6 = 3y − 6 + 6 ;
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x + 6 = 3y ;
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↔ Rewrite as: 3y = x + 6 ;
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Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
______________________________
3y / 3 = (x + 6) / 3 ;
______________________________
to get:
______________________________
y = (x + 6) / 3 ;
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y = (x/3) + (6/3) ;
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y = (x/3 ) + 2 ;
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or; write as: y = (1/3)x + 2 ;
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Now, let us examine the answer choices given:
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Note that all the answer choices begin with "y-1" ;
(except "answer choice: [B]" , which begins with "x-1"). This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1". Rather, it mean y⁻¹ or x⁻¹ as notation for the "inverse" (not to be confused with the exponent notation. The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
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That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
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y⁻¹ = (x + 6) / 3 ;
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y⁻¹ = (x/3) + (6/3) ;
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y⁻¹ = (x/3 ) + 2 ;
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or; write as: y⁻¹ = (1/3)x + 2
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That being said:
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The best answer (and only correct answer) among the answer choices given is: Answer choice: [C]: y⁻¹ = (x+6) / 3 .
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6 0

3 years ago

MaryJo decided to solve the equation 3x - 2 = -x - 6

andrew11 [14]

3x-2=-x-6

do the inverse and add 2 to the whole number on the other side which is -6

3x=-x-4

do the inverse with the variable -x and add x to 3x

4x=-4

divide -4/4 since the inverse of multiplication is division

x=-1

6 0

3 years ago

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The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now

kirza4 [7]

Step-by-step explanation:

The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.

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