Answer:
Fraction of the scouts are square dancing is
.
Step-by-step explanation:
Each pair is one Girl Scout and one Boy Scout.
So, to the final fraction ( of the pairs) we are going to get 1/2 from the fraction of girls and 1/2 from the fraction of boys.
Girls= 
Boys= 
To get the fraction of the scouts that are square dancing, we have to add the fraction of girls , with the fraction of boys.
=
=
=
=
This means that from 30 scouts , 19 are dancing.
Answer:
(-4,2) belongs in this direct variation.
Step-by-step explanation:
Let the direct variation relationship is expressed by the equation y = mx ........ (1), where x and y are in direct variation and k is the variation constant.
Now, the point (4,-2) is included in the direct variation relationship, then from equation (1) we get, -2 = 4m
⇒
Therefore, the equation (1) becomes
⇒ x + 2y = 0 ......... (2)
Now, from the given four options only the point (-4,2) satisfies the relation (2).
Hence, (-4,2) belongs in this direct variation. (Answer)
Answer:
−7x−5y=4 - 7 x - 5 y = 4. Rewrite in slope-intercept form. Tap for more steps... The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is ...
Step-by-step explanation:
The answer is B because the slope is always the one multiplying the x and the 1 is negative because the equation is y-y1=m(x-x1)
Answer:
Step-by-step explanation:
Simplifying
3.4 + 2(9.7 + -4.8x) = 61.2
3.4 + (9.7 * 2 + -4.8x * 2) = 61.2
3.4 + (19.4 + -9.6x) = 61.2
Combine like terms: 3.4 + 19.4 = 22.8
22.8 + -9.6x = 61.2
Solving
22.8 + -9.6x = 61.2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-22.8' to each side of the equation.
22.8 + -22.8 + -9.6x = 61.2 + -22.8
Combine like terms: 22.8 + -22.8 = 0.0
0.0 + -9.6x = 61.2 + -22.8
-9.6x = 61.2 + -22.8
Combine like terms: 61.2 + -22.8 = 38.4
-9.6x = 38.4
Divide each side by '-9.6'.
x = -4
Simplifying
x = -4