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ki77a [65]
3 years ago
5

Find the X COORDINATE OF THE intersection of 9x - 6y = 12 and 3x + 2y =8

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

Answer: x=2

Step-by-step explanation:

Given a System of linear equations, the solution of the system is the point (x,y) in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.

Having the following System of equations:

\left \{ {{9x - 6y = 12} \atop {3x + 2y =8}} \right.

You can use the Elimination method to find the value of "x":

-Multiply the second equation by 3.

- Add the equations.

- Solve for "x".

Then, you get:

\left \{ {{9x - 6y = 12} \atop {9x +6y =24}} \right.\\.......................\\18x=36\\\\x=\frac{36}{18}\\\\x=2

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A restaurant chef bought potatoes at four different stores. The table shows the amount of the potatoes she bought at each store
hichkok12 [17]

Answer:

The way to answer this question is to find out the price per pound potato by dividing the amount the restaurant chief paid by the number of pounds bought.

Your question lacks details on the pounds bought in the other stores so I will assume these figures and you can use it as a reference.

Restaurant B - 2 pounds

Restaurant C - 12 pounds

Restaurant D - 5 pounds

Price per pound

Restaurant A = 6.60/8

= $0.83

Restaurant B = 3.50/2

= $1.75

Restaurant C = 9.75/12

= $0.82

Restaurant D = 4.80/8

= $0.96

<u><em>Restaurant C </em></u><em>has the lowest price per pound for potatoes. </em>

3 0
3 years ago
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This dist
alexira [117]
<h3>Answer:   83.85%</h3>

This value is approximate.

==========================================================

Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.

5 0
3 years ago
What is 1+2-3×4÷5+6-7×8÷9
ziro4ka [17]
Simply the answer would be .38 if this is not correct then i failed
7 0
3 years ago
Read 2 more answers
Nick divides 527 baseball cards evenly into 17 stacks. How many baseball cards are in each stack?
Anton [14]

Answer:

31..?

Step-by-step explanation:

517 divided by 27 equals 31

3 0
3 years ago
I'm really lost on this problem
Alenkinab [10]
Since you need a little bit of trigonometry to solve this problem,
I'm pretty sure you've had a little bit of trigonometry in class before
you were assigned to solve this problem.

-- The shaded triangle comes from taking the equilateral triangle and
either folding it in half or cutting it in half.

-- The base that the new triangle is standing on is 1/2 the base of the
equilateral triangle, so it's 7 cm long.

-- The acute angle at the right end of the base is the same as it was in
the equilateral triangle . . . 60 degrees.

--  The tangent of 60 degrees is (opposite side)/(adjacent side) = x / 7 cm

              tan(60) = x/7

-- Multiply each side of this little equation by 7 :   7 tan(60) = x
 
If you don't have the tangent of 60 degrees in your pocket, you can
find it with your calculator.  Multiply it by 7, and Shazam, you know 'x' .
5 0
3 years ago
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