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Alja [10]
3 years ago
14

Jamie went to the bank and made a withdrawal of $52. Write this in a integer form __________

Mathematics
1 answer:
Vilka [71]3 years ago
8 0

Answer:

-52

Step-by-step explanation:

This is because withdrawl means that they are taking money out meaning that they are losing money in their bank account.

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Which formula shows a joint variation?
djyliett [7]

The answer is the first option: I, II and III.

The explanation is shown below:

1. By definition, there is a joint variation  when a variable depends on two or more different variables. Therefore, you can express it as following:

y=kxz

Where x,y and z are the variables and k is the constant of proportionality.

As you can see, y is directly proportional to x and z.

2. Keeping the information above, you have:

I) V=lwh (V varies jointly with l, w and h.

II) V=\frac{1}{3}r^{2}h\pi (If \frac{\pi}{3} is the constant of proportionality, V varies jointly with r^{2} and h).

III) V=Bh (V varies jointly with B and h.

8 0
3 years ago
Read 2 more answers
In the figure, lines l, m, and n are parallel. A classmate says you can use the corollary to the side-splitter theorem to find x
bulgar [2K]
The issue with using the side-splitter to solve for x is that the side-splitter theorem is used to find lengths of the sides being split by parallel lines. In this case, the x is on a line that is parallel and thus could not be solved for using this theorem. 

If we created a triangle where the tops of the non-parallel lines connected, we would be able to compare the following and solve:

\frac{M1}{M2} =  \frac{N1}{N2}

However, none of this would help us solve for x using this theorem. 
7 0
3 years ago
Please help. I don't get this.
vredina [299]

Answer:

5.5

Step-by-step explanation:

1+1+1 3/4+1 3/4= 5.5

5.5*2=11

11/2=5.5

5 0
3 years ago
Can someone help me please
Darya [45]

Answer:

a^7/b^6

Step-by-step explanation:

3 0
3 years ago
Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi
miss Akunina [59]

Answer:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

Step-by-step explanation:

1st boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a

Equation:

y=ax^2 -2ax+c

The y-coordinate of the vertex:

y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10

Parabola passes through the point (-8,1), so

1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1

Solve:

c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}

Parabola equation:

y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}

2nd boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0

Equation:

y=ax^2+c

The y-coordinate of the vertex:

y_v=a\cdot 0^2+c\Rightarrow c=-7

Parabola passes through the point (-8,1), so

1=a\cdot (-8)^2-7\\ \\64a-7=1

Solve:

a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7

Parabola equation:

y=\dfrac{1}{8}x^2 -7

System of two equations:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

7 0
3 years ago
Read 2 more answers
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