<span>2a(5-b)=3b+7
<em>[open bracket]</em>
10a - 2ab = 3b + 7
<em>[solve for b, so we need to move all terms with b to the left]</em>
<em>[-3b on both sides]</em>
10a - 2ab - 3b = 3b + 7 - 3b
10a - 2ab - 3b = 7
<em>[move all those without b to the right]</em>
<em>[-10a on both side]</em>
10a - 2ab- 3b - 10a = 7 - 10a
-2ab - 3b = 7 - 10a
<em>[divide by -1 through to change b to be positive]</em>
2ab + 3b = 10a - 7
<em>[take b out as the common factor]</em>
</span>b(2a + 3) = 10a - 7<span>
<em>[divide by (2a+3) through]</em>
b = (10a -7)/(2a+3)
</span>
Plug in 3 into the equation.
y= 5(3) +8
Combine like terms.
y= 15+ 8
y= 23
I hope this helped!
Answer:
For this case we have the following fraction:
To find the common denominator, what we must do is rewrite the fraction.
For this, we subtract fractions in the numerator and the sum of fractions in the denominator.
We have then:
We observe that the common denominator is given by the product:
Answer:
the common denominator is:
D)ab
Step-by-step explanation:
Answer:
14. :D
Step-by-step explanation:
Answer:
Step-by-step explanation:
Break down the figure into two shapes.
SHAPE A: The larger one. We can infer the size of the bottom is 6 cm because it's the same size as it's top counterpart. Same goes for the left side, which will have a measure of 7 cm.
SHAPE B: The smaller one. We're going to use the same method as we did with the first one, and infer the lengths of the other sides using the existing ones.
To calculate area, it's length times width.
SHAPE A: Its two side measures are 6 and 7, which equates to 42 cm^2.
SHAPE B: Its two side measures are 2 and 3, which equates to 6 cm^2.
If you add the two, the total area is 44 cm^2.