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3 years ago

The graph of 2x + 3y = 8 is shown on the grid. Which ordered pair is in the solution set of 2x + 3y ≤ 8?

Mathematics

2 answers:

Flauer [41]3 years ago

6 0

Answer:

Option B) (1, −4)

Step-by-step explanation:

we have

$2x+3y\leq 8$ ----> inequality A

The solution of the inequality A is the shaded area below the solid line $2x+3y=8$

Remember that

If a ordered pair is in the solution set of the inequality, then the ordered pair must lie in the shaded area of the solution

using a graphing tool

Plot the points

see the attached figure

Only the point B lie on the shaded area of the solution

therefore

The ordered pair (1, −4) is in the solution set

Viktor [21]3 years ago

4 0

Answer: B

Step-by-step explanation: The graph of 2x + 3y = 8 is shown on the grid. Which ordered pair is in the solution set of 2x + 3y ≤ 8?

A) (−1, 4)

B) (1, −4)

C) (4, 1)

D) (1, 4)

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A, D

Step-by-step explanation:

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3 years ago

Read 2 more answers

In a garden club, 90% i ladie. The number of ladie i 12 more than 3 time the number of gentlemen. How many ladie and how many ge

wariber [46]

In the garden club there are 18 ladies and 2 gentlemen.

Given, In a garden club, 90% is ladies.

The number of ladies is 12 more than 3 times the number of gentlemen.

Let the total members be, x

the number of ladies be, l and the number of gentlemen be, g

according to the question,

l = 90x/100

l = 9x/10

also, l = 12 + 3g

g = (l - 12)/3

as, l + g = x

9x/10 + (9x/10 - 12)/3 = x

9x/10 + 9x/30 - 4 = x

36x/30 - 4 = x

6x/30 = 4

x = 20

so, ladies be, l = 9x/10 = 18

and gentlemen be, g = 20 - 18 = 2

Hence, in the garden club there are 18 ladies and 2 gentlemen.

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11 months ago

Can someone help me out with this

katen-ka-za [31]

Answer:

$AB=4.41$

Step-by-step explanation:

Use the cosine ratio, $cosine=\frac{adjacent}{hypotenuse}$ . Insert the values:

$cos25=\frac{4}{x}$

Isolate x. Multiply both sides by x:

$x*(cos25)=x*(\frac{4}{x})\\\\x*cos25=4$

Divide both sides by cos 25:

$\frac{x*cos25}{cos25}=\frac{4}{cos25}\\\\x=\frac{4}{cos25}$

Insert into a calculator:

$x=4.414$

Round to the nearest hundredth:

$x=4.41$

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3 years ago

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3 years ago

How do you calculate a net worth statement?

marissa [1.9K]

Answer:

a. Assets - Liabilities

Step-by-step explanation:

Assets/Liabilities is a management method to minimize risk. So, it cannot be the answer.

There is no formula like "Assets + Liabilities" and "Assets x Liabilities" in accounting to calculate the net worth. Therefore, those can be eliminated.

We know that net worth is calculated by deducting all liabilities (long-term and short-term) from net assets. Therefore, option (a) is the correct answer.

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