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Scilla [17]
2 years ago
11

After the tour, Tyler’s mom bought a pretzel and a bottle of water for each family member. The bottles of water cost $1.50 each.

If she paid a total of $30, how much did each pretzel cost? There were 5 family members
Mathematics
2 answers:
Delicious77 [7]2 years ago
5 0
Each pretzel is 4.5 $

1.50 • 5 = 7.5
7.5 - 30 = 22.5
22.5 / 5 = 4.5

so in conclusion, those are some expensive a** pretzels.
taurus [48]2 years ago
3 0

Answer:

4.50

Step-by-step explanation:

water + pretzels =total

5(1.50)+    5x      =30

7.50+5x=30

5x=22.50

x=4.50

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The cube root of (n increased by 8), or  ∛(n+8), is -0.5, or -1/2.

∛(n+8) = -1/2.  To solve this for n, cube both sides, obtaining n+8 = -1/8.

Eliminate the fraction by mult. all three terms by 8:             8n + 64 = -1

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4(x-3)=16?

Step-by-step explanations

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3 years ago
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3 0
3 years ago
Which of the following is an extraneous solution of (45-3x)^1/2=x-9?
Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0
3 years ago
a guy wire is attached to a tree 3.5ft above the ground to stabilize it. if the guy wire forms an angle with the tree of 50°, wh
balandron [24]
The plane figure formed by the ground, the guy wire, and the tree is a right triangle with the hypotenuse equal to length of the guy wire. The angle given is an angle adjacent to 3.5 ft. Therefore, the most suitable trigonometric function for this is,
                                  cos (50°) = adjacent / hypotenuse
                                   cos 50° = 3.5 ft / hypotenuse
The value of the hypotenuse is 5.445 ft. 
Hence, the length of the guy wire is approximately 5.445 ft. 
4 0
3 years ago
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