Answer:
a. -24
Step-by-step explanation:
Multiply by 6 ...
2/3(1/2x+12)=1/2(1/3x+14)-3
4(1/2x +12) = 3(1/3x +14) -18 . . . . . . multiply by 6
2x +48 = x +42 -18 . . . . . . . . . . . . . .eliminate parentheses
x = 24 -48 = -24 . . . . . . . . . . . . . . . . simplify and subtract (x+48)
Divide 24 by 4 because the denominator is 4..
24÷4=6
Multiply 6 by 3 because the numerator is 3.
6×3=18
<span>18/24 students speak both Spanish and English</span>
Answer: I am not sure exctly what the question is here but if you are wondering how many butterflies tatal for all species here it is:
North American Butterfrlies: 30
South American Butterflies: 18
Europe Butterflies: 12
Step-by-step explanation: To get the total number of butterflies per species you need to mulitply to find the correct ratio given the total number of North American Butterflies is 30
North American Butterflies to South American Butterflies is 5 to 3 so 30/5=6, you then multiply 3*6 to get 18 South American Butterflies.
Then since we now know there are 18 South American Butterflies and the ratio of those to Europe Butterflies are 3 to 2 we take 18/3=6, then multiply 2*6 to get 12 Europe Butterflies.
Answer:
The absolute number of a number a is written as
|a|
And represents the distance between a and 0 on a number line.
An absolute value equation is an equation that contains an absolute value expression. The equation
|x|=a
Has two solutions x = a and x = -a because both numbers are at the distance a from 0.
To solve an absolute value equation as
|x+7|=14
You begin by making it into two separate equations and then solving them separately.
x+7=14
x+7−7=14−7
x=7
or
x+7=−14
x+7−7=−14−7
x=−21
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
The inequality
|x|<2
Represents the distance between x and 0 that is less than 2
picture42
Whereas the inequality
|x|>2
Represents the distance between x and 0 that is greater than 2
picture43
You can write an absolute value inequality as a compound inequality.
$$\left | x \right |<2\: or
−2<x<2
This holds true for all absolute value inequalities.
|ax+b|<c,wherec>0
=−c<ax+b<c
|ax+b|>c,wherec>0
=ax+b<−corax+b>c
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
Sorry If its not what your looking for but i tried
Answer: A, B, C, D (all of the above)
Step-by-step explanation:
A: 8.16/4= 2.04
B:6.51/3= 2.17
C:2.66/2= 1.33
D: 11.40/4= 2.85
