Answer:
14 feet
Step-by-step explanation:
4 x 3 = 12ft
4 / 2
2
2 + 12
answer is 14 ft
The answer is 4/36 or 1/9.
The chances of one dice getting 6 = 1/6. whereas, the chances of getting a combination of 9 or higher with at least one dice getting 6 is: 1/6* 4/6 since there can only be four combinations that would sum to 9 (3 +6, 4+6, 5+6 & 6+). 1/6 * 4/6 = 4/36 or 1/9.
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Answer:
£72.00
Step-by-step explanation:
60*20% (0.20) = 12
60 (original price) + 12 = 72
therefore, the original price of the bag was £72.00
Answer:
1. B. (9, 4)
2. D. (2, -7)
3. C. (20, 30)
4. C. (3/4, -1/5)
Step-by-step explanation:
1.
Eq.1 3x – 5y = 7 Multiply by -2.
Eq. 2 2x + 3y = 30 Multiply by 3.
Eq. 1 becomes: -6x + 10y = -14
Eq. 2 becomes: 6x + 9y = 90
Add the two new equations to get:
19y = 76
y = 4
Now substitute 4 for y in the first original equation and solve for x.
3x - 5(4) = 7
3x -20 = 7
3x = 27
x = 9
Answer: (9, 4)
2.
2x + 3y = -17 Multiply by -2
5x + 2y = -4 Multiply by 3
-4x - 6y = 34
15x + 6y = -12
Add last two equations.
11x = 22
x = 2
Substitute x = 2 into first original equation and solve for y.
2x + 3y = -17
2(2) + 3y = -17
4 + 3y = -17
3y = -21
y = -7
Answer: D. (2, -7)
3.
x + y = 50 Keep equation as it is.
0.05x + 0.06y = 2.8 Multiply by -20.
x + y = 50
-x - 1.2y = -56
Add last two equations.
-0.2y = -6
y = 30
Substitute y = 30 in first original equation and solve for x.
x + y = 50
x + 30 = 50
x = 20
Answer: C. (20, 30)
4.
8g - 5h = 7 Keep as is.
4g + 10h = 1 Multiply by -2.
8g - 5h = 7
-8g - 20h = -2
Add last two equations.
-25h = 5
h = -1/5
Substitute h = -1/5 into h of first original equation and solve for g.
8g - 5h = 7
8g - 5(-1/5) = 7
8g + 1 = 7
8g = 6
g = 6/8
g = 3/4
Answer: C. (3/4, -1/5)
Answer:
350 - 170 - 120 = r
Step-by-step explanation:
Identify the variable:
r = number of red pens
The total amount of pens ordered is 350 when adding all three colors of pens. This means we must add all of the colored pens to find the total number of pens, 350.
Write this as an equation:
170 + 120 + r = 350
Rewrite the equation to find r:
350 - 170 - 120 = r
