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3 years ago

The scatter plot shows the number of cds

Mathematics

1 answer:

saw5 [17]3 years ago

4 0

It's too blurry to read. If you tell me what it says, I'll try to give you an answer.

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All employees of the Crafton Company are paid $0.375 for each wrench set they pack. How much would Kenny Pace earn if he packed

9966 [12]

Answer:

$652.50

Step-by-step explanation:

1740*0.375=652.5

6 0

3 years ago

Part B

alisha [4.7K]

Question:

Consider ΔABC, whose vertices are A (2, 1), B (3, 3), and C (1, 6); let the line segment AC represent the base of the triangle.

(a) Find the equation of the line passing through B and perpendicular to the line AC

(b) Let the point of intersection of line AC with the line you found in part A be point D. Find the coordinates of point D.

Answer:

$y = \frac{1}{5}x + \frac{12}{5}$

$D = (\frac{43}{26},\frac{71}{26})$

Step-by-step explanation:

Given

$\triangle ABC$

$A = (2,1)$

$B = (3,3)$

$C = (1,6)$

Solving (a): Line that passes through B, perpendicular to AC.

First, calculate the slope of AC

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$C = (1,6)$ --- $(x_2,y_2)$

The slope is:

$m = \frac{6- 1}{1 - 2}$

$m = \frac{5}{-1}$

$m = -5$

The slope of the line that passes through B is calculated as:

$m_2 = -\frac{1}{m}$ --- because it is perpendicular to AC.

So, we have:

$m_2 = -\frac{1}{-5}$

$m_2 = \frac{1}{5}$

The equation of the line is the calculated using:

$m_2 = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$m_2 = \frac{1}{5}$

$B = (3,3)$ --- $(x_1,y_1)$

$(x_2,y_2) = (x,y)$

So, we have:

$\frac{1}{5} = \frac{y - 3}{x - 3}$

Cross multiply

$5(y-3) = 1(x - 3)$

$5y - 15 = x - 3$

$5y = x - 3 + 15$

$5y = x +12$

Make y the subject

$y = \frac{1}{5}x + \frac{12}{5}$

Solving (b): Point of intersection between AC and $y = \frac{1}{5}x + \frac{12}{5}$

First, calculate the equation of AC using:

$y = m(x - x_1) + y_1$

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$m = -5$

So:

$y=-5(x - 2) + 1$

$y=-5x + 10 + 1$

$y=-5x + 11$

So, we have:

$y=-5x + 11$ and $y = \frac{1}{5}x + \frac{12}{5}$

Equate both to solve for x

i.e.

$y = y$

$-5x + 11 = \frac{1}{5}x + \frac{12}{5}$

Collect like terms

$-5x -\frac{1}{5}x = \frac{12}{5} - 11$

Multiply through by 5

$-25x-x = 12 - 55$

Collect like terms

$-26x = -43$

Solve for x

$x = \frac{-43}{-26}$

$x = \frac{43}{26}$

Substitute $x = \frac{43}{26}$ in $y=-5x + 11$

$y = -5 * \frac{43}{26} + 11$

$y = \frac{-5 *43}{26} + 11$

Take LCM

$y = \frac{-5 *43+11 * 26}{26}$

$y = \frac{71}{26}$

Hence, the coordinates of D is:

$D = (\frac{43}{26},\frac{71}{26})$

3 0

3 years ago

During a reading test, Enrique reads a passage with 640 words. It takes him 4 minutes to

belka [17]

It takes 5 minutes to read a passage that has 800 words with the same speed.

<u>SOLUTION: </u>

Given that, during a reading test, Enrique reads a passage with 640 words. It takes him 4 minutes to read the passage.

We have to find time taken by Enrique to read a passage that has 800 words if he reads at the same speed

Now, we know that,

$640 \text { words } \rightarrow 4 \text { minutes }$

Then, $800 \text { words } \rightarrow \text { (let it be) n minutes }$

So, by cross multiplication method

$\Rightarrow n \times 640=4 \times 800 \rightarrow n \times 64=4 \times 80 \rightarrow n \times 16=80 \rightarrow n \times 2=10 \rightarrow n=5$

Cross multiplications steps: (To find Single Variable)

Step 1: Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.

Step 2: Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.

Step 3: Set the two products equal to each other.

Step 4: Solve for the variable.

3 0

3 years ago

Read 2 more answers

La séptima parte de un número es 3

My name is Ann [436]

No es el 3 pero si es el numero 7

7 0

3 years ago

What is x Y=6+0x.can u solve for x

Bingel [31]

Answer:

You cannot solve for x here.

Step-by-step explanation:

Given: y = 6 + 0x.

This is equivalent to y = 6.

y = 6 is the equation of a horizontal line that crosses the y-axis at y = 6. This equation is true for any x value.

So, no, you cannot solve for x here.

6 0

4 years ago

Read 2 more answers