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Ganezh [65]
3 years ago
9

ryan is planning a party for his parents' anniversary. The caterer charges a delivery fee of $14 plus an additional & 5.25 p

er person. If he can spend no more than $350, how many people can he invite?
Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Answer:

18 people

Step-by-step explanation:

So for each person, the carter charges $19.25. With $350, you can have 350/19.25 people. This make 18.18 people. You can't have 0.18 of a person, so you can only have 18 people at your party.  

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The sum of the ages of two siblings is 29. The brother is eleven more than half the age of his sister. How old is each sibling
mina [271]

Answer: the brother is 20 and the sister is 9

Step-by-step explanation:

29 - 11 = 18  18 divided by 2 is 9

9+11 is 20 the brothers age so the sister is 9

3 0
3 years ago
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I don't understand plz help​
Rasek [7]

Answer:

The equation that represent x, the height of the sign is;

2a = 3x

Step-by-step explanation:

Given that the area of the triangular yield is A square feet

and it has a base length of 3 feet.

also the height is represented by x;

b = 3ft \\ h = x

Recall that the area of a triangle can be written as;

a =  \frac{1}{2} bh

substituting the given;

a =  \frac{1}{2}  \times 3 \times x \\   a =  \frac{3}{2} x \\ 2a = 3x

Therefore, the equation that represent x, the height of the sign is;

2a = 3x

8 0
3 years ago
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16. Solve for C: 6c - 1 - 4c = -49
lesantik [10]

Answer:

c = -24

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

<u />

Step-by-step explanation:

<u>Step 1: Define</u>

6c - 1 - 4c = -49

<u>Step 2: Solve for </u><em><u>c</u></em>

  1. Combine like terms:                     2c - 1 = -49
  2. Isolate <em>c</em> term:                               2c = -48
  3. Isolate <em>c</em>:                                        c = -24
7 0
3 years ago
Over a certain region of space, the electric potential is V = 4x − 7x2y + 7yz2. Find the expressions for the x, y, z components
Tju [1.3M]

Answer:

Ex = - 4 + 14xy

Ey = 7x² - 7z²

Ez = -14yz

Step-by-step explanation:

The relationship between Electric field Er(x, y, z) and Electric potential, V, is a differential relationship:

Er(x, y, z) = -dV/dr(x, y, z)

Where r(x, y, z) = distance in x, y and z components.

The x component of the electric field is:

Ex = -dV/dx

Given that:

V = 4x - 7x²y + 7yz²

Ex = -dV/dx

Ex = -(4 - 14xy)

Ex = -4 + 14xy

The y component of the electric field is:

Ey = -dV/dy

Ey = -(-7x² + 7yz²)

Ey = 7x² - 7z²

The z component of the electric field is:

Ez = -dV/dz

Ez = -(14yz)

Ez = -14yz

8 0
3 years ago
Solve the equation <img src="https://tex.z-dn.net/?f=8x%5E2%3D-36" id="TexFormula1" title="8x^2=-36" alt="8x^2=-36" align="absmi
chubhunter [2.5K]

Answer: 4(2x²+9) or i\frac{3\sqrt{2} }{2}

Step-by-step explanation:

To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.

8x²=-36            [add both sides by 36]

8x²+36=0

When it comes to factoring, we want to pull out numbers or variables that are common in each term.

8x²+36=0         [take out a 4 in each term]

4(2x²+9)=0

It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.

To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).

4(2x²+9)=0       [divide both sides by 4]

2x²+9=0            [subtract both sides by 9]

2x²=-9               [divide both sides by 2]

x²=-9/2              [square root both sides]

x=\sqrt{-\frac{9}{2} } or x=i\frac{3\sqrt{2} }{2}

6 0
3 years ago
Read 2 more answers
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