All categories

2 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

2 answers:

dybincka [34]2 years ago

6 0

Answer:

(3,3)

x=3 and y=3

Step-by-step explanation:

The system of equations are:-

3x - y = 6

6x + y = 21

Elimination method: To eliminate one variable by add/sub both equation and solve for another variable.

3x - y = 6

6x + y = 21

Add both equation and eliminate y

3x + 6x = 6 + 21

9x = 27

x = 3

Put x=3 into 6x + y = 21

6(3) + y = 21

18 + y = 21

y = 21 - 18

y = 3

Hence, The solution of the system of equations is (3,3)

zhannawk [14.2K]2 years ago

3 0

Answer:

y=27;y=−42

Step-by-step explanation:

33−y=6;63+y=21

y=27;y=−42

I hope this helps!

You might be interested in

What do i do here and plz help me answer this

stepladder [879]

Answer:

for number 1, you plug -3 in for x in the equation. and for number 2, you plug in 2 for y in the equation. you do this to find the missing values of the variables.

1. y= -10

2. x= -1

Step-by-step explanation:

i hope this helps :)

5 0

2 years ago

Read 2 more answers

Suppose marginal benefit of your first cup of coffee is $4 of your second is $3, and your third is $2 . If the price of coffee i

enot [183]

I would buy 69 cups of coffee

7 0

2 years ago

Does anybody know any of these work needs to be shown answer ASAP

fenix001 [56]

#30 and #31 are in y = mx + b. m = slope, and b = y-intercept.
30. slope = 2/3 y-intercept = 1
31. Slope = -9/5 y-intercept = -4
To make the x's get on the right side of the equal sign, subtract it on both sides.
32. 6x - y = -2
32. 6x - y - 6x = -2 - 6x
32. y = 6x - 2

5 0

2 years ago

Can someone help me with this problem. please

Kitty [74]

Answer:

Step-by-step explanation:

area = 30x + 30(x+3) + 30(2x)

= 30x + 30x+90 + 60x

= (120x + 90) m²

length of planting area = x + (x+3) + 2x = 4x+3 m

area = 30(4x+3) = (120x + 90) m²

x = 5

maple area = 30(5+3) = 240 m²

locust area = 30(2·5) = = 300 m²

8 0

2 years ago

A population of monkeys' tail lengths is normally distributed with a mean of 25 cm with a standard deviation of 8 cm. I am prepa

Crank

Answer:

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772

Step-by-step explanation:

Step(i):-

Given mean of the Population 'μ'= 25c.m

Given standard deviation of the Population 'σ' = 8c.m

Given sample size 'n' = 256

Let X₁ = 24

$Z_{1} = \frac{x_{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{24-25}{\frac{8}{\sqrt{256} } } = -2$

Let X₂ = 25

$Z_{2} = \frac{x_{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{25-25}{\frac{8}{\sqrt{256} } } = 0$

Step(ii):-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = P(-2≤ Z ≤0)

= P( Z≤0) - P(Z≤-2)

= 0.5 + A(0) - (0.5- A(-2))

= A(0) + A(2) ( ∵A(-2) =A(2)

= 0.000+ 0.4772

= 0.4772

Final answer:-

The probability that the mean of my sample will be between 24 and 25 cm

P(24 ≤X⁻≤25) = 0.4772

4 0

3 years ago