Answer:
64
Step-by-step explanation:
because 32 x 2 = 64
Answer:
32*2=64 She had 64 treats
Answer:120?
Step-by-step explanation:
3(x + 1) = 9+ 2x
Answer:
Step-by-step explanation:
So we have the equation:
Distribute the left side:
Subtract 2x from both sides. The right side cancels:
Subtract 3 from both sides:
So, x is 6.
The simplified expression is -8a² - 24ab.
Given expression: (2a + 6b)(6b - 2a) - (2a + 6b)^2
First, let's expand the squared term (2a + 6b)^2:
(2a + 6b)(6b - 2a) - (2a + 6b)(2a + 6b)
Now, we have a common factor of (2a + 6b) in both terms, so let's factor it out:
(2a + 6b)[(6b - 2a) - (2a + 6b)]
Now, simplify the expression inside the brackets:
(2a + 6b)[6b - 2a - 2a - 6b]
Combining like terms within the brackets:
(2a + 6b)[-4a]
Now, multiply the remaining terms:
-4a(2a + 6b)
-8a² - 24ab
Therefore, the simplified expression is -8a² - 24ab.
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Answer:
-8a(a+3b)
Step-by-step explanation:
(2a+6b)(6b−2a)−(2a+6b)^2
(2a+6b) {(6b−2a)−(2a+6b)(2a+6b)}
2(a+3b) (6b-2a-2a-6b)
2(a+3b) (-4a)
-2(a+3b) x 4a
-2 x 4a (a+3b)
-8a(a+3b)
Let q represent the number of quarters he has. Then q-9 is the number of dimes, and 3q is the number of nickels. His total change is ...
0.25q + 0.10(q-9) + 0.05(3q) = 7.10
0.50q - 0.90 = 7.10
q = (7.10 +0.90)/0.50 = 16
The carrier has 16 quarters, 7 dimes, and 48 nickels.
Answer:
The surface area is about 267.04 cm^2; the surface area would be divided by 4 if the slant height and diameter were to be cut in half
Answer:
(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.
Hence, option C is true.
Step-by-step explanation:
Given the point (0, 0)
a)
Putting the point (0, 0) the inequality
y+4 < 3x-1
0+4 < 3(0)-1
4 < -1
This is false as -1 can not be greater than 4
b)
y-1 < 3x-4
Putting the point (0, 0) the inequality
0-1 < 3(0)-4
-1 < -4
This is false as -1 can not be lesser than -4
c)
y-4 < 3x-1
Putting the point (0, 0) the inequality
0-4 < 3(0)-1
-4 < -1
This is true as -4 is lesser than -1
d)
y+4 < 3x+1
Putting the point (0, 0) the inequality
0+4 < 3(0)+1
4 < 1
This is false as 4 can not be lesser than 1
Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.
Hence, option C is true.