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2 years ago

Solve the following system of equations. Express your answer as an ordered pair in the format (a,

2 answers:

8 0

The second equation is <span>-5-2y=2, then
</span>
<span>-2y=2-(-5),
</span>
-2y=2+5,
-2y=7,
y=7÷(-2),
y=-3.5.
The first equation is 2x+5y=16, subtitude y=-3.5 in this equation, then
2x+5·(-3.5)=16,
2x-17.5=16,
2x=16-(-17.5),
2x=16+17.5,
2x=33.5,
x=33.5÷2,
x=16.75.
Answer: (16.75,-3.5)

aleksandr82 [10.1K]2 years ago

3 0

Answer:

(x,y) = (-2,4)

Step-by-step explanation:

Consider the system of equation,

2x + 5y = 16 .......... (1)

-5x - 2y = 2 ......... (2)

Using Elimination method to solve the system of equation,

Multiply equation (1) by 5 , we get,

10x + 25y = 80 ...........(3)

Multiply equation (2) by 2 , we get,

-10x - 4y = 4 ......... (4)

Adding (3) and (4) , we get,

10x + 25y +( -10x - 4y )= 4 + 80

10x and -10x got cancel, we get,

25y - 4y = 84

⇒ 21y = 84

⇒ y = 4

Put y = 4 in (1),

2x + 5(4) = 16 ⇒ 2x = 16 - 20 ⇒ 2x = -4 ⇒ x = -2

Thus, (x,y) = (-2,4)

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Write 2/4 in simplest form

Bas_tet [7]

Divide both sides by their LCD, 2

2/4 = 1/2

1/2 is irreducible

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2 years ago

Find the volume of th] cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for 1.

spayn [35]

Answer:197.8

The formula for a cylinder is 3.14*r^2*h but if you don't round to the nearest tenth the the answer is 197.82034.

Step-by-step explanation:Step one mutiply 3^2=9, Step two mutiply 3.14*

9=28.26, Step three mutiply 28.26*7=197.82.But if you round 197.82034 to the nearest tenth which is moving one decimal place to the right you'll will get 197.8.

6 0

2 years ago

How much difference do a couple of weeks make for birth weight? Late-preterm babies are born with 34 to 36 completed weeks of ge

stiks02 [169]

Answer:

a) 0.3277

b) 0.0128

Step-by-step explanation:

We are given the following information in the question:

N(2750, 560).

Mean, μ = 2750

Standard Deviation, σ = 560

We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P (less than 2500 grams)

P(x < 2500)

$P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)$

Calculation the value from standard normal z table, we have,

$P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%$

b) P ((less than 1500 grams)

P(x < 1500)

$P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)$

Calculation the value from standard normal z table, we have,

$P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%$

3 0

2 years ago

Mr. D'Agostino decided he wanted to build a pool in his backyard this summer. He sketched a drawing that had a scale of 1 in. =

Travka [436]

Answer:

46080 ft²

Step-by-step explanation:

Given :

Scale :

1 in = 4 feets

Recall :

I foot =. 12 inches

Length of drawing = 4 feets

Length of drawing in inches = 4 * 12 = 48 inches

Width of drawing = 5 feets

Width of drawing in inches = 5 * 12 = 60 inches

Actual length of pool = 48 * 4 = 192 feets

Actual width of pool = 60 * 4 = 240 feets

The actual area of the pool :

Length * width

192 feets * 240 feets = 46080 ft²

5 0

2 years ago

What is the slope of the line?

zhannawk [14.2K]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers