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charle [14.2K]
4 years ago
6

A grocery store sells almonds for $7/lb and peanuts for $5/lb. Let x represent the number of pounds of almonds, and let y repres

ents the number of pounds of peanuts. Which inequality can be used to find how much of each type of nut can bought without spending more than $10?
Mathematics
2 answers:
sertanlavr [38]4 years ago
8 0
The inequality is 10>7x+5y
Readme [11.4K]4 years ago
8 0

Answer:

7x+5y

Step-by-step explanation:

Given that a  grocery store sells almonds for $7/lb and peanuts for $5/lb.

Let x represent the number of pounds of almonds,

and let y represents the number of pounds of peanuts.

Cost of almonds = 7x\\

Cost of peanuts = 5y

Total cost = 7x+5y

This must be less than 10 dollars

Hence inequality is

7x+5y

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When the weight of apples is increased by a factor of 4, by what factor does the total cost increase?
Hitman42 [59]

Answer:

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Hope this helped : )

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Find all solutions to the equation. -\dfrac{2}{x(x+2)}=\dfrac{x+3}{x+2}− x(x+2) 2 ​ = x+2 x+3 ​ minus, start fraction, 2, divide
Gnoma [55]

Answer:

x=-1

Step-by-step explanation:

We have been given an equation \frac{-2}{x(x+2)}=\frac{x+3}{x+2}. We are asked to find the solutions of our given equation.

First of all, we will cross multiply our given equation as:

-2(x+2)=x(x+2)(x+3)

Subtract x(x+2)(x+3) from both sides:

-2(x+2)-x(x+2)(x+3)=x(x+2)(x+3)-x(x+2)(x+3)

-2(x+2)-x(x+2)(x+3)=0

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(x+2)(-2-x(x+3))=0

(x+2)(-2-x^2-3x)=0

(x+2)(-(x^2+3x+2))=0

Now we will factor by splitting the middle term.

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

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

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

Now we will use zero product property and solve for x as:

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

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

x=-2,x=-1

Now, we will check for extraneous solutions.

We can see that x=-2 will make both denominators zero because our function is not defined at  x=-2.

Therefore, the solution for our given equation is x=-1.

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Answer:

y = 1/7x - 8/7

Step-by-step explanation:

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Step-by-step explanation:

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