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3 years ago

You go out to the grocery store to buy milk and are trying to decide wether to buy the

Mathematics

1 answer:

madam [21]3 years ago

5 0

The 4L is better. Because if you bought 2 of the 2L then your total would be 5.80.

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Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen we

Phoenix [80]

Answer-

Set of constraints to model the problem are,

$12x+9y\geq 510$

$y \leq 2x$

$y \geq 25$

Solution-

x = the number of lawns weeded by Gwen,

y = the number of dogs walked by Fabio.

As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

$\text{Earnings of Gwen} = 12x$

$\text{Earnings of Fabio} = 9y$

$\text{Total earning} = 12x+9y$

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.

The equation for this is,

$12x+9y\geq 510$

The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means

y must be less than or equal to 2x.

The equation for this is,

$y \leq 2x$

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

The equation for this is,

$y \geq 25$

8 0

3 years ago

Read 2 more answers

Mrs travis wants to have the clown deliver balloons to her secretary's office. Clowns R Fun charges $1.25 per balloon and $6 for

marysya [2.9K]

The correct answer is:

6 balloons.

Explanation:

Let x represent the number of balloons purchased.

We will call the function for Clowns R Fun c(x):

c(x) = 1.25x+6

We will call the function for Singing Balloons s(x):

s(x) = 1.95x+2

We want the amount for Clowns R Fun, c(x) to be less:

c(x) < s(x)

1.25x+6 < 1.95x+2

Subtract 1.25x from each side:

1.25x+6-1.25x < 1.95x+2-1.25x

6 < 0.7x+2

Subtract 2 from each side:

6-2 < 0.7x+2-2

4 < 0.7x

Divide each side by 0.7:

4/0.7 < 0.7x/0.7

5.7 < x

x > 5.7

She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.

7 0

3 years ago

Read 2 more answers

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

3 years ago

100 POINTS!!!!!!!!!!

Ne4ueva [31]

the fiest answer is x=6 for the second one the answer is x=4

Step-by-step explanation:

x+15/5x+1 =15/35 then cross multiply

1st one

5 0

3 years ago

Read 2 more answers

Please help!! Rewrite the formula to determine the amount of money they will make.

leva [86]

We have this equation to start with: m/n = 5.5. To achieve the desired equation, you need to multiply the entire equation by n, giving you this equation: m = 5.5n. Hope this helps!

3 0

3 years ago