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baherus [9]
3 years ago
8

Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many

DVDs did she rent? Write as an equation.
Mathematics
2 answers:
dem82 [27]3 years ago
8 0

Answer:

7 DVDs

Step-by-step explanation:

Christine spent $29.50 in total, and $5 on the membership.

so the amount of money spent on DVDs is $29.50 - $5, or $24.50.

The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs

Contact [7]3 years ago
6 0

Answer:

7 DVDs

Step-by-step explanation:

We can create an equation to found out how many DVDs she rents. Let d = number of DVDs she rents.

3.50d + 5 = 29.50

~Subtract 5 to both sides

3.50d = 24.50

~Divide 3.50 to both sides

d = 7

Best of Luck!

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elixir [45]

Answer:

C

Step-by-step explanation:

Using the pythagorean theorem, we can determine if these are right triangles or not.

equation: sqrt a^2+b^2=c

this means the square root of the two shortest sides squared must equal to the largest side, (the hypotenuese).

Work for C:

Squareroot of 32^2 + 24^2 = 40cm

8 0
2 years ago
How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and
omeli [17]

Step-by-step explanation:

x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\     (given)

Let us consider :

x_{1} = t_{1} + 1

x_{2} = t_{2}

x_{3} = t_{3}

x_{4}  = t_{4}

x_{5} = t_{5}

Now, by substituting the above considerations in the above equation, we get:

t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\

t_{1}  + t_{2} + t_{3} + t_{4} + t_{5} = 20\\

where,

t_{i} \geq 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = _{r}^{n + r}\textrm{C}

                                                      = _{4}^{24}\textrm{C}

                                                      = 10626

Answer :

no. of solutions for the eqn 10626

4 0
3 years ago
When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea
____ [38]

Answer:

According to steps 2 and 4. The second-order polynomial must be added by -c and b^{2} to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form a\cdot x^{2} + b\cdot x + c = 0, \forall \,x \in\mathbb{R}. The procedure is presented below:

1) a\cdot x^{2} + b\cdot x + c = 0 (Given)

2) a\cdot x^{2} + b \cdot x = -c (Compatibility with addition/Existence of additive inverse/Modulative property)

3) 4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c (Compatibility with multiplication)

4) 4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c (Compatibility with addition/Existence of additive inverse/Modulative property)

5) (2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c (Perfect square trinomial)

According to steps 2 and 4. The second-order polynomial must be added by -c and b^{2} to create a perfect square trinomial.

7 0
2 years ago
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Find the quotient -14/7
AVprozaik [17]

The quotient is -2.


4 0
3 years ago
Rewrite the expression with the given base. 25^3x with a base of 5.
svp [43]
Use\ (a^n)^m=a^{nm}\\\\25^{3x}=(5^2)^{3x}=5^{2\cdot3x}=5^{6x}
6 0
3 years ago
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