Answer:
21/25 = 84/100
17/20 = 85/100
21/25 < 17/20
Step-by-step explanation:
∵ The common multiple of 25 and 20 is 100
∵ 100 ÷ 25 = 4
∴ 21/25 = (21 × 4)/(25 × 4) = 84/100
∵ 100 ÷ 20 = 5
∴ 17/20 = (17 × 5)/(20 × 5) = 85/100
∵ 84 < 85
∴ 84/100 < 85/100
∴ 21/25 < 17/20
Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
Answer/Step-by-step explanation:
A) The temperature in Chicago could be -10*F because -10 is to the right of -13 on the number line.
Higher Temperatures -->
o----------->I
I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I
-13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Answer:
70/3 πcm
Step-by-step explanation:
hope this helps
Answer:
D. 7
Step-by-step explanation:
The question is incomplete. Here is a possible complete question
For the given expression, which whole number (w) will make the expression true? 5/6 < w/6
A. 3
B. 4
C. 5
D. 7
Given the inequality expression:
5/6 < w/6
Cross multiply
5×6 < 6×w
30<6w
Divide both sides by 6
30/6 = 6w/6
5<w
Reciprocate both sides(this will change the sense of the inequality)
1/5>1/w
Cross multiply
w > 5×1
w>5
This shows that the value of w is a value greater than 5 but not 5. According to the option, the only value greater than 5 is 7. Hence the whole number (w) that will make the expression true is 7
