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3 years ago

Factor to write an equivalent expression.(What is the Greatest Common Factor?). −9x+15y

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

Answer:

GCF is 3

Step-by-step explanation:

Given the expression -9x + 15y

First, we need to find ther individual factors

-9x = -3 *3 * x

15y = 3 * 5 * y

Since 3 is common to both factors

−9x+15y = 3(-3x+5y)

Hence the GCF is 3

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Pls help me i dont want to fail this class

Sauron [17]

Answer:

(i think )

y = 59

Step-by-step explanation:

8 0

3 years ago

Assume you have collected data pairs (x, y) on a certain variety of tree. x is the number of weeks since the tree was planted an

Law Incorporation [45]

<span>52 1/2 inches. Draw a vertical line up from the 20 week marker and where that line intersects the slanted red line and. Then take a straight edge and draw a line parallel to the "week" line on the bottom of the graph from the intersection to intersect the height line. Where the second line crosses the height line that number is the height of the plant at 20 weeks.</span>

3 0

4 years ago

A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night

mario62 [17]

Using proportions, it is found that $1,225 is earned from nachos.

This question is solved by <em>proportions</em>, using a rule of three.

The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.

When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?

The <em>rule of three</em> is:

$1,540 - $1,330

$1,672 - $x

Applying line multiplication:

$1672x = 1540 \times 1330$

$x = \frac{1540 \times 1330}{1672}$

$x = 1225$

$1,225 is earned from nachos.

To learn more about proportions, you can take a look at brainly.com/question/24372153

8 0

3 years ago

The pie chart below illustrates the future plans of 200members of St.Thomas graduating class.

ruslelena [56]

Answer:

<h2>a) approximately 133 graduates</h2><h2>b) approximately 120°</h2>

Step-by-step explanation:

a) the number of graduates planning to continue studying :

= (37 1/2% + 12 1/2% + 16 2/3%) × 200

$=\frac{\left( 37\frac{1}{2} +12\frac{1}{2} +16\frac{2}{3} \right) }{100} \times200$

= (37.5 + 12.5 + 16.666666666667)×2

= 133.333333333334

…………………………………

b) the measurement of the angle representing those who plan to work :

= (360× 33 1/2)÷100

= (360× 33.333333333333)÷100

=119.999999999999

8 0

2 years ago

A point x is 34m due to east of a point Y . The bearing of a flagpole from x and Y are N18°W And N40°E respectively .

Murljashka [212]

Answer:

The distance of flag post from Y is 38.13 m

Step-by-step explanation:

Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.

Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.

Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.

Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,

$\angle AXY=\angle AXF+\angle FXY$

$\therefore 90 \degree=18\degree+\angle FXY$

$\angle FXY=72\degree$

Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,

$\angle BYX=\angle BYF+\angle FYX$

$\therefore 90 \degree=40\degree+\angle FYX$

$\angle FYX=50\degree$

Refer attachment 1.

From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.

∠YFX+∠FYX+∠FXY=180°

∠YFX+50°+72°=180°

∠YFX=58°

Refer attachment 2.

Now the distance FY can be calculated using sin rule as follows,

$\frac{\sin X}{FY}=\frac{\sin F}{YX}=\frac{\sin Y}{FX}$

Substituting the values,

$\frac{\sin 72}{FY}=\frac{\sin 58}{34}=\frac{\sin 50}{FX}$

Simplifying first two terms,

$\frac{\sin 72}{FY}=\frac{\sin 58}{34}$

Cross multiplying,

$34\times\sin 72=FY\times \sin 58$

$\dfrac{34\times\sin 72}{\sin 58}=FY$

$FY=38.13$ m

7 0

3 years ago