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FrozenT [24]
3 years ago
8

ABC shipping charges $7 plus $1 a pound to ship an overnight package. XYZ shipping charges $10 plus $0.75 a pound to ship an ove

rnight package. For what weight is the charge the same for the two companies?
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

x = lbs

y = total cost

ABC shipping: $7 + $1x = y

XYZ shipping: $10 + $0.75x = y

We set each equation equal to the other.

$7 + $1x = $10 + $0.75x. Subtract $7 from both sides and subtract $0.75x from both sides

$0.25x = $3. Divide each side by $0.25.

x = 12 lbs

When a package is 12lbs the cost is the same.

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3 years ago
A graph of a system of two equations is shown. PLEASE HELPP!!!!!
ale4655 [162]

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From the graph

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--------------

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4 0
3 years ago
Astrid wants to buy pumpkins and watermelons. She wants to buy more than 10 fruits, and she has a
Stolb23 [73]

Answer:

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

<em>Note</em> 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

<u><em>Verify Inequality A</em></u>

P+W > 10

substitute the value of P and the value of W

7+3 > 10

10 > 10 ----> is not true

so

The ordered pair not satisfy the inequality A

<u><em>Verify Inequality B</em></u>

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

so

The ordered satisfy the inequality B

therefore

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

8 0
3 years ago
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Murrr4er [49]

The correct answer: D

6 0
4 years ago
If you make a tree diagram and then list all of the possible outcomes for flipping a coin and rolling a 6-sided die, how many po
Katyanochek1 [597]

Answer:

The possible outcomes that will be obtained are:

Option: C

C) 12

Step-by-step explanation:

When we flip a coin the outcomes that are obtained are:

{H,T}

Now, the possible outcomes that is obtained on flipping a die after flipping a coin are:

{(H,1),(H,2),(H,3),(H,4),(H,5),(H,6),(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}

Hence, the total number of possible outcomes that are obtained on flipping a coin and rolling a six-sided die are:

12

Also the tree diagram of these possible outcomes is attached to the answer.

4 0
3 years ago
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