Hi Vanessa
3x -1/9 (27) =18
3x - 27/9 =18
3x- 3 =18
Add 3 to both sides
3x-3+3=18+3
3x=21
Divide both sides by 3
3x/3= 21/3
x= 7
The value of x is 7
Now let's check if my answer is correct
To check it we gonna replace x by 7 and 27 for y
(3)(7) -1/9 (27) = 18
21 -1/9 (27)=18
21- 27/9 = 18
21- 3 = 18
18 = 18
The answer is good and I hope its help:0
Answer:
Step-by-step explanation:
The max value of the sine function is 1.
If we multiply it by 2, we get 2 sin x, whose max. value is 2.
If we multiply the sine function by -2, the max value of this functin is still 2.
The options aren't given, however, the range of amount spent could be calculated
Answer:
Kindly check explanation
Step-by-step explanation:
Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd
Given that :
DVD costs the same amount
Number of DVD's = 3
Cost of cds = 10
Number of cds = 7
Total cost of cd's = 10 * 7 = 70
Let the price of DVD = x
Total amount spent = 90 - 100
Lowest price of DVD :
(amount spent - price of cd) / number of dvd
(90 - 70) / 3 = 20 /3 = 6.667
Highest price :
(100 - 70) / 3 = 30 / 3 = 10
Hence the pice of each DVD will range between /
6.6666 and 10.
Hence, prices listed within the range above are possible.
Let's begin with 2500 mm and convert this to cm.
2500 mm = 250 cm
Next, convert 250 cm to inches. Recall that 1 inch = 2.54 cm.
Then (250 cm)(1 inch) / (2.54 cm) = (250 cm) (1 in)/ (2.54 cm)
= (250/2.54) inches = ? inches
Answer:
Yes triangle ABC and DEF are similar.
Step-by-step explanation:
One rule of triangles is that all the angles in a triangle will add up to 180 degrees.
Now, first, you will figure out the remaining angle in triangle ABC.
- Add up 35 and 20. (35 + 20 =55)
- Subtract 55 from 180 (180-55= 125)
- When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.
Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.
- 125 + 35 = 160
- 180-160= 20
The remaining angle is 20 degrees
As you can see, triangle ABC shares the same angles as triangle DEF.
This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.
You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity
I hope this explanation helped and have a good day!
