Answer:
(-2,3)
Step-by-step explanation:
Given data
the system of linear equation is presented as
3x+5y=9-----1
2x+3y=5-----2
solve simultaneously
3x+5y=9-----1 X 2
2x+3y=5-----2 X3
subtracting 2 from 1
6x+10y=18
-6x+9y=15
0x+y=3
y= 3
put y= 3 in 1
3x+5(3)=9-----1
3x+15=9
3x= 9-15
3x= -6
x= -6/3
x= -2
Hence the ordered pair is (-2,3)
Answer:
The measure of angle DCB = 125
Step-by-step explanation:
This is because angle ACD and angle DCB are supplementary.
Supplementary angles are two angles with a sum of 180 degrees, and we know these angles are supplementary by the fact that angle ACB = 180 degrees.
y = -x + 5
5x + 2y = 14
5x + 2(-x + 5) = 14
5x + 2(-x) + 2(5) = 14
5x - 2x + 10 = 14
3x + 10 = 14
- 10 - 10
3x = 4
3 3
x = 1¹/₃
y = -x + 5
y = -1¹/₃ + 5
y = 3²/₃
(x, y) = (-1¹/₂, 3²/₃)
If the probability of choosing a strike is 3/10, that means that from the total items available 3 out of 10 are strikes, now, if there are 9 strikes total, this is the equation representing such result:
(3/10)(totalChips) = 9
if we solve for totalChips we have:
3(totalChips) = 9*10 = 90
totalChips = 90/3 = 30
therefore the total amount of chips in the bag is 30
The answer is 34.3 minutes
EXPLANATION
To round off to the nearest tenths, you need to find first the tenths value. In this case, it's 2.
Next, look to the number on the right side or the hundredths value. Since 8 is greater than 5, you have to round the tenths value up.
From 2, you'll now have 3. Zero out the values on the right of the tenths value.
So basically, you'll have now 34.3 minutes
