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kupik [55]
3 years ago
9

Fernando had 20 minutes to do a three-problem quiz. He spent 10 9/10 minutes on question A and 5 3/5 minutes on question B. How

much time did he have left for question C?
Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer:

1.65 minutes

Step-by-step explanation:

10 9/10 + 5 3/5 = 16 1/2

16 1/2 divided by 20 = 1.65 or 33/20

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What is an equation of a line which passes through (6,9) and is perpendicular to the line whose equation is 4x − 6y = 15?
Svetllana [295]

<u>Given:</u>

The equation of the line passes through the point (6,9) and is perpendicular to the line whose equation is 4 x-6 y=15

We need to determine the equation of the line.

<u>Slope</u>:

Let us convert the equation to slope - intercept form.

-6 y=15-4x

   y=\frac{2}{3}x-\frac{5}{2}

From the above equation, the slope is m_1=\frac{2}{3}

Since, the lines  are perpendicular, the slope of the line can be determined using the formula,

m_1 \cdot m_2=-1

  \frac{2}{3} \cdot m_2=-1

      m_2=-\frac{3}{2}

Therefore, the slope of the equation is m=-\frac{3}{2}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (6,9) and the slope m=-\frac{3}{2} in the above formula, we get;

y-9=-\frac{3}{2}(x-6)

Simplifying the terms, we get;

2(y-9)=-3(x-6)

2y-18=-3x+18

3x+2y=36

Thus, the equation of the line is 3x+2y=36

3 0
3 years ago
How do I draw and determine the equation of a trend line on a scatterplot
Nat2105 [25]

Step-by-step explanation:

Step 1: Draw your trend line.

You begin by drawing your trend line. You want your trend line to follow your data. You want to have roughly half your data above the line and the other half below the line, like this:

trend line equation

Step 2: Locate two points on the line.

Your next step is to locate two points on the trend line. Look carefully at your trend line and look for two easy to figure out points on the line. Ideally, these are points where the trend line crosses a clearly identifiable location.

For the trend line that we just drew, we can see these two easily identifiable points.

trend line equation

We can easily identify these two points as (3, 3) and (12, 6).

Step 3: Plug these two points into the formula for slope.

The formula for slope is this one:

trend line equation

We can label our first point as (x1,y1), and our second point as (x2,y2). So our x1 is 3, our y1 is 3, our x2 is 12, and our y2 is 6. Plugging these values into the equation for slope and evaluating, we get this:

trend line equation

So our slope is 1/3.

8 0
3 years ago
What is the quotient of the following in simplest form? 5/9 divided by 2/3
Assoli18 [71]

Answer:

5/6

Step-by-step explanation:

You write the question as such: 5/9 divided by 2/3.

After that, you keep the first fraction, flip the sign and the fraction.

You will get: 5/9 multiplied by 3/2.

When you get this, you then cross multiply and simplify as such.

5/3 multiplied by 1/2.

5/6 would be your solution.

4 0
2 years ago
According to the bar graph, which attribute is under investigation?
larisa [96]
The graph says it shows ...
.. A) The height of students.
6 0
3 years ago
-2 1/3 × 2 5/8 Perform the indicated operation
Karolina [17]

Answer:

-6 1/8

Step-by-step explanation:

=-7/3 *21/8

=147/24

=-6 3/24

=-6 1/8

8 0
3 years ago
Read 2 more answers
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