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3 years ago

Write a ratio for the situation in three ways, comparing the first quantity to the second quantity.

Mathematics

1 answer:

Sphinxa [80]3 years ago

3 0

Answer:

A. is the answer.

Step-by-step explanation:

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Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

7 0

3 years ago

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In the system of equations below, which variable would it be easiest to solve for?

Maru [420]

Answer:

<h3> The first: The easiest to solve for is x in the first equation.</h3>

Step-by-step explanation:

To get x from first equation you just need to subtract 4y from both sides.

The rest of variables needs two operations to get variable - subtracting and then dividing.

7 0

3 years ago

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-4(b + 4) + 6b = -4(b +1)

Alla [95]

Answer:

Step-by-step explanation:

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3 years ago

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Sandra Wants to buy a new MP3 Player that is on sale for $95. She has saved $73. How much more money does she need?

Vikki [24]

95-73= 22
she needs $22

3 0

3 years ago

What is the measure of x

OleMash [197]

Answer:

Step-by-step explanation:

Angles on a line add up to 180 so

180 - 92 = 88

Thats angle y

Now the angles in a triangle add up to 180 so

50+88+x = 180

138 + x = 180

x = 42

5 0

3 years ago

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