Answer:
True
Step-by-step explanation:
have a great day!
Answer:
x=6 2/3
Step-by-step explanation:
Ratio of DEF:ABC=5/3
8*5/3=13 1/3
x=6 2/3
Answer:
The required equation is:
0.23x = 52
Hence, option A is true.
Step-by-step explanation:
Given
Let 'x' be the initial depth
The snow is now 52 inches deep and it is a 77% decrease.
Let the initial 'x' depth be represented as 100%.
x → 100%
Given the current 52 inches is a 77% decrease. So, we need to decrease the 77/100 or 0.77 from the initial depth, so
[100% - 77%] of x = 52
[100/100 - 77/100] × x = 52
[1 - 0.77] × x = 52
0.23x = 52
Therefore, the required equation is:
0.23x = 52
Hence, option A is true.
Answer:
Step-by-step explanation:
Here, we have to convert the equation to slope-intercept form so we can find the perpendicular slope:
Since our slope is 
, then that means the slope perpendicular to it is 
.
Now we find our new y-intercept so that the line will pass through the point (-7,7):
Therefore, the equation of the new line is
Answer:
Adele's current age is 12
Step-by-step explanation:
Let a = Adele's current age
Let t = Timothy's current age
Adele is 5 years older than Timothy:
a = t + 5 {equation 1}
In 3 years Timothy will be 2/3 of Adele's age:
(2/3)(a + 3) = t + 3 {equation 2}
Since we are looking for Adele's age, let's rearrange equation 1 to:
t = a - 5
Substitute that into equation 2 and solve for a.
(2/3)(a+3) = a - 5 + 3
(2/3)(a + 3) = a - 2
Multiply through by 3 to clear the fraction
2(a+3) = 3a - 6
2a + 6 = 3a - 6
Add 6 to both sides, subtract 2a from both sides
12 = a
Adele is 12 years old
This means Timothy is 7 years old.
Check equation 2 to verify:
(2/3)(a + 3) = t + 3
(2/3)(12+3) = 7 + 3
(2/3)(15) = 10
10 = 10
