Yes, Heather is correct. The expressions are not equivalent
<em><u>Solution:</u></em>
Given that,
Heather says, the following expressions are not equivalent
Because one expression has a term that is subtracted and the other does not
<em><u>Combine the like terms in first expression:</u></em>
<em><u>Let us first expand the second expression</u></em>
By distributive property
a(b + c) = ab + bc
Therefore,
<em><u>Thus the two expressions are:</u></em>
Yes both the expressions are not equivalent
Because, in first expression 2x is added to 8
But in second expression, 8 is subtracted from 2x
Thus heather is correct
Answer:
x=18
Step-by-step explanation:
4x-10=3x+8
4x-3x
x-10=8
8+10
Total of 221 students
5 students in a van
6 buses fill with 216 students total
6x + 5 = 221
Answer:
Measure of angle ADC is 70°
Step-by-step explanation:
So, we know that the overarcing angle BDA equals 110°. And then, we have these two equations that split up this overarcing angle. To solve for x, all we need to do is say is that the sum of these two equations are equal to 110°
2x+10+3x+25=110
Combine like terms
5x+35=110
Subtract 35 from both sides
5x=75
Divide by 5 on both sides
x=15
Now, to find the measure of angle ADC, simply plug 15 in for x on that equation:
3(15)+25
So, the measure of angle ADC is 70°
3 moer than (3+) 2 times the numbe of books he sold in the second week (2 times second week)
first week=3+(2 time 2nd week)
total ie sold 18
so
first week+second week=18
3+(2 times 2nd week)+2nd week=18
solve
minus 3 both sides
3-3+(2 times 2nd week)+2nd week=18-3
0+(2 times 2nd week)+2nd week=15
(2 times 2nd week)+2nd week=15
add
3 times 2nd week=15
divide both sides by 3
2nd week=5
sub back
first week+second week=18
first week+5=18
minus 5
first week=13
he sold 13 in the first week