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ohaa [14]
3 years ago
12

Pat's checking account balance was $540.30 at the end of May. She received her paycheck of $900.00 in the first week of June. Wh

at is latest balance in her check register?
Mathematics
2 answers:
Daniel [21]3 years ago
3 0

The <u>latest balance</u> in Pat's <u>checking account</u> is the<u> sum</u> of all possible amounts of money Pat has and gets.

It is known that:

  • Pat's checking account balance was $540.30 at the end of May;
  • Pat received her paycheck of $900.00 in the first week of June.

Therefore, the latest balance in her cheking account is

$540.30 + $900.00 = $1440.30

Answer: $1440.30

Kisachek [45]3 years ago
3 0
What are you exactly asking?

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Use the graph to find the slope. What is the runners speed?
Murrr4er [49]

The formula for the slope is m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{20-10}{2-1}

m=\frac{10}{1}

m=10

Hope this helps.

頑張って!

3 0
3 years ago
2. Which fraction is in its simplest form?<br> 2/4<br> 2/8<br> 2/6<br> 2/5
wariber [46]

Answer:

2/5

Step-by-step explanation:

2 / 4 could be divided by two in both sides.

2 ÷ 2 = 1

4 ÷ 2 = 2

2/4 = 1/2

Same goes for 2/8 and 2/6

2 ÷ 2 = 1

8 ÷ 2 = 4

2/8 = 1/4

2 ÷ 2 = 1

6 ÷ 2 = 3

2/6 = 1/3

2/5 however, could not be divided by two on both sides because there is 5 and it is not a factor of 2. So it is in its simplest form

7 0
3 years ago
Read 2 more answers
Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear
Nikolay [14]

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

6 0
2 years ago
An experiment consist of rolling 3 fair dice (1 red die, a blue die, and a white die) and recording the number rolled on each di
Setler79 [48]
In 1, t<span>here are 6 outcomes for each die, so for three dice, the total combination is 6 x 6 x 6 = 216 outcomes. Hence, t</span><span>he probability of any individual outcome is 1/216 </span>

The outcomes that will add up to 6 are 
<span>1+1+4 </span>
<span>1+4+1 </span>
<span>4+1+1 </span>
<span>1+2+3 </span>
<span>1+3+2 </span>
<span>2+1+3 </span>
<span>2+3+1 </span>
<span>3+1+2 </span>
<span>3+2+1 </span>
<span>2+2+2 </span>

<span>Hence the probability is </span><span>10/216 </span>

In 3, the minimum sum of the three dice is 3. so we start with this 
<span>P(n = 3) </span>
<span>1+1+1 ; </span><span>1/216 </span>

<span>P(n = 4) </span>
<span>1+1+2 </span>
<span>1+2+1 </span>
<span>2+1+1 ; </span><span>3/216 </span>

<span>P(n = 5) </span>
<span>1+1+3 </span>
<span>1+3+1 </span>
<span>3+1+1 </span>
<span>1+2+2 </span>
<span>2+1+2 </span>
<span>2+2+1; </span><span>6/216 

The sum in 3 is 10/216 or 5/108</span>
3 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!<br><br> Graph g(x) = 3x^2 - 12x - 3
Paul [167]

Answer: Vertex = (2, -15)  2nd point = (0, -3)

<u>Step-by-step explanation:</u>

g(x) = 3x² - 12x - 3

      = 3(x² - 4x - 1)

          a=1   b=-4  c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: x = \dfrac{-b}{2a}

x = \dfrac{-(-4)}{2(1)}

      = \dfrac{4}{2}

         = 2

Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3

g(2) = 3(2)² - 12(2) - 3

       = 12  - 24 - 3

       = -15

So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE

Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>

g(0) = 3(0)² - 12(0) - 3

       = 0  - 0 - 3

       = -3

So, an additional point is (0, -3)  ←  PLOT THIS COORDINATE


5 0
3 years ago
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