Solve this inequality: 3p – 16 < 20. A. p < 1/3
B. p < 11/3
C. p < 12
D. p < –12
Answers
3 * p - 16 < 20
3 * p < 20 + 16
3 * p < 36 /3
p < 36/3
p < 12
The correct result would be C. p < 12.
The solution to the inequality is p < 12.
Option C is the correct answer.
We have,
To solve the inequality 3p - 16 < 20, you can follow these steps:
- Add 16 to both sides of the inequality:
3p - 16 + 16 < 20 + 16
3p < 36
- Divide both sides of the inequality by 3
(since the coefficient of p is 3 and we want to isolate p):
(3p)/3 < 36/3
p < 12
Thus,
The solution to the inequality is p < 12.
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Answers
12x+10x+3x+2x -y+y+5y
X=27 Y=5y
12x - y = 10x +5y
12x-10x = 5y+y
2x = 6y
so x=3y ----> eqn.1
and, the sum of all angles are equal 360 degrees
so 12x-y + 2x+4y + 10x+ 5 y + 3x + y = 360 then , 27x + 9y = 360 substitute by y= x/3 from eqn.1 the 27x +9(x/3) = 360 27x+3x=36030x=360x=12 substitute in eqn.1 y=x/3 y=12/3y=4 so we get x = 12 & y = 4
Answers
I don't see the answer choices, but 2 equations you could use to get eighteen would be:
9 × 2 = 18
OR
9 + 9 = 18
See? Twice a number is eighteen. You can use any of my equations to get eighteen
↑ ↑ ↑ Hope this helps! :D
Answers
Answer:
8.7 cm
Step-by-step explanation:
You know the relationship between the diagonal of a rectangular prism and the sides as where x, y and z are the three dimensions of the prism. from your data,
or
. With some simple calculation you get
, or
Answers
equation 1
5x–4y=16
and
equation 2
x–2y=6
we know that
Part A) the x-intercept is when y=0
equation 1
5x–4y=16
for y=0
5x=16--------> x=16/5---> x=3.2
the point is (3.2,0)
equation 2
x–2y=6
for y=0
x=6
the point is (6,0)
Part B) the y-intercept is when x=0
equation 1
5x–4y=16
for x=0
-4y=16-------> y=-4
the point is (0,-4)
equation 2
x–2y=6
for x=0
-2y=6------> y=-3
the point is (0,-3)
the answer is
the coordinates of the points of intersection are
equation 1
5x–4y=16
(3.2,0) and (0,-4)
equation 2
x–2y=6
(6,0) and (0,-3)
Final answer:
To find the coordinates of the points of intersection of two graphs without building them, solve the given system of equations. The coordinates of the points of intersection of the graphs 5x - 4y = 16 and x - 2y = 6 are approximately (-8.67, -2.33).
Explanation:
To find the coordinates of the points of intersection of the graphs without building them, we can solve the given system of equations: 5x - 4y = 16 and x - 2y = 6.
Step 1: We can solve the second equation for x: x = 6 + 2y.
Step 2: Substitute the value of x from Step 1 into the first equation: 5(6 + 2y) - 4y = 16.
Step 3: Simplify and solve for y: 30 + 10y - 4y = 16. Combine like terms: 6y = -14. Divide by 6: y = -7/3.
Step 4: Substitute the value of y from Step 3 into the second equation to find x: x - 2(-7/3) = 6. Simplify: x + 14/3 = 6. Subtract 14/3 from both sides: x = -26/3.
Therefore, the coordinates of the points of intersection are (-26/3, -7/3) or approximately (-8.67, -2.33).
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Answers
Answer:
165.90 pounds
Step-by-step explanation:
Answer:
165.90
Step-by-step explanation:
9/12 + 6/12
Answers
and 9 trees + 6 trees add up to 15 trees,
and 9 cars + 6 cars add up to 15 cars,
so we're pretty sure that
9 twelfths + 6 twelfths add up to 15 twelfths.
9/12 + 6/12 = 15/12
It wants us to simplify the answer, so
we can divide top and bottom by 3 :
15/12 = 5/4 = 1 and 1/4 .