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Gnesinka [82]
3 years ago
15

Maggie then deposited 2 paychecks for $45 each. How would

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

x = 2 x 45 is the equation. There will be only positive numbers

Step-by-step explanation:

An equation involves an '=' sign where the left side equals the right side.

To form an equation, first write down the known and unknown data.

<u>DATA:</u>

1. Number of paychecks: 2

2. Amount of each paycheck: $45

3. Amount of total money deposited = x

<u>EQUATION:</u>

Amount of total money deposited = Number of paychecks x Amount of each paycheck

x = 2 x 45

x = $90

Therefore, the total money deposited would be $90.

There are positive numbers in this because a paycheck has to be\geq 1 and negative amount cannot be deposited in a bank; there has to be some amount.

Keyword: Multiplication, positive numbers

Learn more about positive numbers at:

  • brainly.com/question/4034547

#LearnwithBrainly

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0.5x + 4 + 0.9x = x + 5
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Answer:

x=2.5

Step-by-step explanation:

6 0
3 years ago
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What are the coordinates of the point on the directed line segment from (–9, -7) to
pentagon [3]

Answer:

Step-by-step explanation:

Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:

x coordinate: \frac{bx_1+ax_2}{a+b} and

y coordinate: \frac{by_1+ay_2}{a+b}

where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:

the x coordinate of the directed point is

\frac{4(-9)+3(-2)}{7} which simplifies down to -6, and

the y coordinate of the directed point is

\frac{4(-7)+3(7)}{7} which simplifies down to -1.

The coordinate of the point is (-6, -1). Write that down so you don't forget it.

4 0
3 years ago
Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator
SpyIntel [72]
\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)

When x=3, you're left with

147=49a_1\implies a_1=\dfrac{147}{49}=3

When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

Adding the two equations together gives -10=2a_5, or a_5=-5. Subtracting them gives 2\sqrt2=2\sqrt2a_4, a_4=1.

Now, you have

5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)
5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)
2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that a_2x^4=2x^4 and a_3(-3)(-2)=6a_3=-6. These alone tell you that you must have a_2=2 and a_3=-1.

So the partial fraction decomposition is

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7 0
3 years ago
ezekiel has $250 in his bank account he deposts $35 from his birthday and then buys clothes for school for $75
Semmy [17]

Answer:

$140

Step-by-step explanation:

i assume ur asking for how much is left over

250-35= 215

215-75= 140

$140 left

6 0
3 years ago
Please help me with all I need for tomorrow thanks
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1. 6
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4. area
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Area = 14

The borders enclose 14 squares that are 1 long and 1 unit wide.
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