Mathematics, 19.11.2019 03:31 jdjxbxnshd2080

Astrid wants to buy pumpkins and watermelons. she wants to buy more than 10 fruits, and she has a
budget of $117.
p +w > 10 represents the number of pumpkins p and watermelons w astrid should buy to get more
than 10 fruits.
5.5p +3.5w < 117 represents the number of pumpkins and watermelons she can buy on her budget of
$117.
does astrid meet both of her expectations by buying 7 pumpkins and 3 watermelons?

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Answer from: tonio638

Buying 7 pumpkins and 3 watermelons, Astrid doesn't meet her two expectations.

Step-by-step explanation:

Let

P ----> the number of pumpkins and watermelons she can buy

W ----> the number of watermelons she can buy

we know that

P+W 10 ----> inequality A

5.5P+3.5W < 117 ---> inequality B

Note Both inequalities are given in the problem

If Astrid buy 7 pumpkins and 3 watermelons

then

we have the ordered pair (7,3)

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

For P=7, W=3

Verify Inequality A

P+W 10

substitute the value of P and the value of W

7+3 10

10 10 ----> is not true

The ordered pair not satisfy the inequality A

Verify Inequality B

5.5P+3.5W < 117

substitute the value of P and the value of W

5.5(7)+3.5(3) < 117

49 < 117 ----> is true

The ordered satisfy the inequality B

therefore

Buying 7 pumpkins and 3 watermelons, Astrid doesn't meet her two expectations.

Answer from: ambercable3

Astrid stays within her budget, but she doesn't buy the expected number of fruits.

Step-by-step explanation:

I just did it on Khan

Answer from: Quest

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

Answer from: Quest

x² + 3x + 7 = 0 [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

$x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}$ (+/- is this ±)

plug in the numbers into the variables

$x = \frac{-3+/-\sqrt{3^2-4(1)(7)} }{2(1)}$

$x=\frac{-3+/-\sqrt{9-28} }{2}$

$x=\frac{-3+/-\sqrt{-19} }{2}$

your answer is a

What is the solution to this equation? x^2+3x+7=0

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Astrid wants to buy pumpkins and watermelons. she wants to buy more than 10 fruits, and she has a

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