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3 years ago

What is the best approximation of the solution to the system to the nearest integer values

Mathematics

1 answer:

blondinia [14]3 years ago

4 0

Answer:

A.(2,3)

Step-by-step explanation:

The solution to the system of two equations $5x+2y=16$ and $x+3y=12$ is the ordered pair $(x,y)$ which coordinates satisfy both equations.

Graphically, the solution to the system of two equations is the point of intersection of two lines which represent given equations.

The point of intersection of these graphed lines is closest to (2,3) (from the diagram), so correct option is A

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When n = 3, which of the expressions below will be greater than 50? Select all that apply. A) (8n2÷9)⋅7 B) 2n2⋅3 –4n C) 4n2–6n+1

True [87]

Answer:

A

Step-by-step explanation:

a)

$(8(3)^{2} / 9) * 7$

8(9) / 9 = 8 x 7 = 56

$2(3)^{2} * 3 - 4(3)$

2(9) * 3 - 12

18 * 3 = 54 - 12 = 42

$4(3)^{2} - 6(3) + 12$

4(9) - 18 + 12

36 - 18 = 18 + 12 = 30

$7(3) + (3 * 8)$

21 + 24 = 45

5 0

3 years ago

As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular

spayn [35]

Answer:

10 milligrams of Medication A

Step-by-step explanation:

We'll write proportions/ratios for this:

20:16 is the usual proportion, and x:8 is this week's dose. The ratio from A to B has to be equal, so

20/16 = x/8

Cross-multiply:

(20)(8) = (16)(x)

160 = 16x

divide both sides by 16

x = 10

Please let me know if you have questions about this answer.

5 0

3 years ago

The length of a rectangle is 1 foot less than twice the width. If the area is 45 ft2, find the length and width.

STatiana [176]

A) Width = 9/2, length = 10

Rectangle area = length(l)x width(w)

9/2 = 4.5

4.5(l) x 10(w) = 45ft

8 0

3 years ago

What are all of the different possible outcomes when two 4-sided dice are rolled?

Vinvika [58]

Step-by-step explanation:

first of all I don't think a 4 sided dice is even possible

but anyways

1 1

1 2 2 2

1 3 2 3

1 4 2 4

3 3 3 4

4 4

8 0

4 years ago

MZRSK = x + 53, m KST = x + 109, and mZRST = 156º Find x.

Dahasolnce [82]

Answer:

$-3 = x$

Step-by-step explanation:

Since we are not given a midpoint, we use the Angle Addition Postulate:

156 = [x + 109] + [x + 53]

156 = 162 + 2x

-162 - 162

_______________

−6 = 2x

___ ___

2 2

−3 = x

[−3 + 53] + [−3 + 109] = 156

50 106

156 = 156 ☑

Therefore, $-3 = x$ is a genuine statement.

I am joyous to assist you anytime.

4 0

3 years ago