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Svetllana [295]
3 years ago
12

3x+9y=758x+5y=67 what is x and y?

Mathematics
1 answer:
slava [35]3 years ago
8 0

There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...

... (x, y) = (4, 7)

_____

You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to

ax+by=c\\dx+ey=f

is given by

x=\dfrac{bf-ec}{\Delta}\\\\y=\dfrac{cd-fa}{\Delta}\qquad\text{where $\Delta=bd-ea$}

Here, that means

... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4

... y = (75·8-67·3)/57 = 399/57 = 7

_____

A (graphing) calculator greatly facilitates either of these approaches.

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Need help finding the value of O. Please help..
Kruka [31]

Answer:

O=30° or O=29°

Step By Step Explanation:

∠α =arcsin( a/c )

= arcsin(4/8)

= arcsin(0.5)

= 0.5 rad = 30° = 29°

I Hope This Helps. I Gave you 2 answers just in case 1 is Wrong. And I Hope you Understand This Calculation, I Used Different Variables and the arcsin thing is something my teacher told my class to use, and I Have no Idea what it means because my teacher never explained what it meant, Sadly.

7 0
2 years ago
Industry standards suggest that 8 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumter
jenyasd209 [6]

Answer:

Step-by-step explanation:

Let X be the no of vehicles that require warranty service within I year out of vehicles sold (9) yesterday.

Each vehicle is independent of the other to get warranty service

Hence X is binomial with p=8% = 0.08

So P(X=x) = 9Cx (0.08)^x (1-0.08)^{9-x} ,x=0,1,2...9

a) P(X=0) = 0.472161\\b) P(x=1) = 0.3695

c) P(X=2) = 0.1285

d) Mean = Mean of binomial = np =

9(0.08) = 0.72

Var (x) = npq = 0.6624

Std dev = square root of variance = 0.8139

5 0
3 years ago
Read 2 more answers
Solve picture question​
Naddik [55]

Answer:

As it ایس the correct answer is 45

78

7.90

7 0
1 year ago
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Dakota is saving money to buy a new ferret cage.In the the first week she saved $24 each week she saves $6 how much money will S
MissTica
$24 x 6 = 144   Minus the $6 she spent per week -$36  = $108

I guess that is what you meant when you typed "she saved $24 each week she saves $6???
3 0
3 years ago
Read 2 more answers
Find the slope of the line passing through the points (-3, 7) and (2, -6)
Sliva [168]

Answer:

The slope of the line passing through the points (-3, 7) and (2, -6) is -13/5.

Step-by-step explanation:

Use the slope formula to find the slope of the line based on two points.

m = y₂ - y₁/x₂ - x₁

Substitute the values

m = -6 - 7/2 - (-3)

Simplify.

m = -13/5

The slope of this line is -13/5.

4 0
2 years ago
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