Twice the difference of a number and 5 is equal to three times the sum of the number and 5. Find the number
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I believe the expression would look like this:
(x-5)2 = (x+5)3
x would be -25
(-25-5)2 = (-25+5)3
-60 = -60
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Arrange the cards into three pairs with the same total.
Note: Please write each pair on separate lines and
use the word 'and' between the numbers (eg. 7 and -3).
Answers
Answer:
See explanation
Step-by-step explanation:
The first pair is (-4 and 8)
Because if we add those two values, i. e., 8 + (-4), we will get 4.
Again, the second pair is (-2 and 6). In that case, if we also add those two values, that is, 6 + (-2), we will get 4.
Finally, the third pair is (-1 and 5). Again, we will add the two values. 5 + (-1) = 4.
In each case, we can see that the addition of each pair is 4.Therefore, the total is similar in each pair after arranging the cards.
Answers
Answer:
Heather's model has greater area by 24 sq.ft.
Step-by-step explanation:
Given : Ellie's model represented 20 feet by 15 feet.
Heather's model represented 18 feet by 18 feet.
To Find: Whose floor model represents the greater area? How much greater?
Solution:
Length of Ellie's model = 20 feet
Width of Ellie's model = 15 feet
Area =
=
=
Length of Heather's model = 18 feet
Width of Heather's model = 18 feet
Area =
=
=
Thus Heather's model has greater area by (324-300)= 24 sq.ft.
Answers
Answer:
B. 2x + 3 ≥ 11 or 4x - 7 ≤ 1
Step-by-step explanation:
Given compound inequality,
In option A,
2x + 3 ≥ 11 and 4x - 7 ≤ 1
⇒ 2x ≥ 8 and 4x ≤ 8
⇒ x ≥ 4 and x ≤ 2
2x + 3 ≥ 11 and 4x - 7 ≤ 1 can not be the correct inequality,
In option B,
2x + 3 ≥ 11 or 4x - 7 ≤ 1
⇒ 2x ≥ 8 or 4x ≤ 8
⇒ x ≥ 4 or x ≤ 2
Which is shown in the given graph,
Thus, 2x + 3 ≥ 11 or 4x - 7 ≤ 1 is the correct compound inequality,
In option C,
2x + 3 > 11 or 4x - 7 < 1
⇒ 2x > 8 or 4x < 8
⇒ x > 4 or x < 2
So, which is not shown in the graph,
2x + 3 > 11 or 4x - 7 < 1 can not be the correct compound inequality,
In option D,
2x + 3 ≥ 11 or 4x - 7 ≥ 1
⇒ 2x ≥ 8 or 4x ≥ 8
⇒ x ≥ 4 or x ≥ 2
Which is not shown in the graph,
2x + 3 ≥ 11 or 4x - 7 ≥ 1 is not the correct compound inequality.
B.. 4 is less than or equal to x, 2 is greater or equal to x
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Answers
(3/8)/45 = x/60
Cross Multiply:
(3/8)*60 = 45*x
45x = 22.5
x = 1/2
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Answers
60/10=6
300/10=30
30/6=1/5!
1/5 of 100 is 20.
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