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stealth61 [152]
3 years ago
11

Which point is a solution to y ≤ 3x- 4? O A. (0,4) O B. (-2, 0) OC. (0, 0) OD. (3,1)

Mathematics
2 answers:
Andrew [12]3 years ago
8 0
I’d say the answer is D. (3,1)
Nina [5.8K]3 years ago
4 0

Answer:

<em>(D). (3, 1) </em>

Step-by-step explanation:

y ≤ 3x - 4

<u><em>(A). (0, 4)</em></u>

4 ≤ 3(0) - 4

4 ≤ - 4 <u><em>(False statement)</em></u>

<u><em>(B). (-2, 0)</em></u>

0 ≤ 3(- 2) - 4

0 ≤ - 10 <u><em>(False statement) </em></u>

<u><em>(C). (0, 0)</em></u>

0 ≤ 3(0) - 4

0 ≤ - 4 <u><em>(False statement)</em></u>

<u><em>(D). (3, 1)</em></u>

1 ≤ 3(3) - 4

1 ≤ 5 <u><em>(True statement) </em></u>

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A mixture of alcohol and water contains a total of 60 oz of liquid there are 12 oz of pure alcohol in the mixture was a percenta
OlgaM077 [116]

Answer:

The mixture contains 80% water and 20% alcohol.

Step-by-step explanation:

Given:

Total Amount of mixture = 60 oz

Amount of alcohol in the mixture = 12 oz

We need to find the percentage of water and percentage of alcohol in the mixture.

Solution:

First we will find the amount of water in mixture.

Now we know that;

Total Amount of mixture is equal to sum of Amount of alcohol in the mixture and amount of water in mixture.

so we can say that;

amount of water in mixture = Total Amount of mixture - Amount of alcohol in the mixture

amount of water in mixture = 60-12 =48\ oz

Now we will find the Percentage amount of water.

Percentage amount of water can be calculated by dividing amount of water in mixture by Total Amount of mixture and then multiplying by 100.

framing in equation form we get;

Percentage amount of water = \frac{48}{60}\times 100 = 80\%

Percentage amount of alcohol = 100\%-80\%=20\%

Hence The mixture contains 80% water and 20% alcohol.

7 0
3 years ago
Find the distance between the lines: x = -7 and x=23
Crank

Answer: 30 (units)

Step-by-step explanation: |-7|+|23|=30

8 0
2 years ago
The value of y varies directly with x, and y= -10 when x=40. Identify the value of y when x=-5
scoray [572]

Answer:

y = 1.25

Step-by-step explanation:

Use the direct variation equation y = kx, and solve for k:

y = kx

-10 = k(40)

-0.25 = k

So, the equation is y = -0.25x. Solve for y when x = -5

y = -0.25x

y = -0.25(-5)

y = 1.25

So, y = 1.25 when x = -5

8 0
2 years ago
You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three ye
Irina-Kira [14]

Answer:

2,391 paid altogether. The interest Rate was another 391 dollars.

Step-by-step explanation:

8 0
3 years ago
How do we solve this?<br> (No need to find x)
Genrish500 [490]

Answer:

Hi,

Step-by-step explanation:

We can't solve that but reduce it to the same denominator.

\dfrac{x+5}{x}+\dfrac{x+8}{x-1}\\\\=\dfrac{(x+5)(x-1)+x(x+8)}{x(x-1)}\\\\=\dfrac{x^2+5x-x-5+x^2+8x}{x(x-1)}\\\\=\dfrac{2x^2+12x-5}{x(x-1)}\\

5 0
2 years ago
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