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sdas [7]
3 years ago
15

How do I solve the inequality, graph the solution set, and write it in interval notation for -8x+3 ≥ 3(6-x)?​

Mathematics
1 answer:
Ksju [112]3 years ago
5 0

Answer:

I only know how to solve it, it is -3

Step-by-step explanation:

-8x+3> or = 18-3x

3>or= 5x+18

-15> or = 5x

x>or=-3

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Dennis makes a tile table. He uses 2 boxes of 1,000 red tiles,some boxes of 100 blue tiles an 8 boxes of green tiles he uses 3,3
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<span>Given that Dennis makes a tile table. He uses 2 boxes of 1,000 red tiles, some boxes of 100 blue tiles an 8 boxes of 10 green tiles. He uses 3,380 tiles in all.

Let the number of boxes of 100 blue tiles be x, then
2(1,000) + x(100) + 8(10) = 3,380
2,000 + 100x + 80 = 3,380
2,080 + 100x = 3,380
100x = 3,380 - 2,080 = 1,300
x = 1,300 / 100 = 13.

Therefore, the number of boxes of blue tiles Dennis used is 13.
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What is the area of the figure below?
boyakko [2]

Answer:

25

Step-by-step explanation:

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3 years ago
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Answer: d

Step-by-step explanation:

because in the text it states that you have to find the percentage of the budget allocated for food and round that budget to the nearest tenth and the budget is $800 so if we round 800 to the nearest tenth that would be $80.0%

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3 years ago
The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0). Which conc
vodka [1.7K]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

Given:

The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0).

To choose: the correct option

Solution:

According to distance formula distance between points (x_1,y_1),(x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For ΔMNO,

MN=\sqrt{(4-1)^2+(9-3)^2}=\sqrt{(3)^2+(6)^2}=\sqrt{45}\\NO=\sqrt{(7-4)^2+(3-9)^2}=\sqrt{(3)^2+(-6)^2}=\sqrt{45}\\\\MO=\sqrt{(7-1)^2+(3-3)^2}=\sqrt{(6)^2+(0)^2}=\sqrt{36}=6\\

For ΔPQR,

PQ=\sqrt{(4-3)^2+(2-0)^2}=\sqrt{(1)^2+(2)^2}=\sqrt{5}\\QR=\sqrt{(5-4)^2+(0-2)^2}=\sqrt{(1)^2+(-2)^2}=\sqrt{5}\\\\PR=\sqrt{(5-3)^2+(0-0)^2}=\sqrt{(2)^2+(0)^2}=2\\

So,

\frac{MN}{PQ}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\ \frac{NO}{QR}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\\frac{MO}{PR}=\frac{6 }{2 }=3\\

Therefore, They are similar by the definition of similarity in terms of a dilation.

Two triangles are said to be similar if their sides are proportional.

8 0
3 years ago
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