<span>4a+7b+3a-2b+2a
Substitute all of the variables for the numbers given
4(-5)+7(3)+3(-5)-2(3)+2(-5)
Multiply all of the variables by their coefficient
-20+21-15-6-10
Combine like terms
Final Answer: -30
</span>
Answer:
33 1/3 percent smaller
Step-by-step explanation:
The number a exceeds the number b by 50 percent.
a = b + b*.5
a = b(1.5)
Divide by 1.5
a/1.5 = b
2/3a =b
We want to find (a-b)/a to find the percent decrease
(a-2/3a)/a *100percent
(1/3a)/a* 100 percent
1/3 * 100 percent
33 1/3 percent smaller
Try breaking these into sections.
Twice: 2 times
The sum of: add
A number: choose a variable, like x
---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"
-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"
Is: equals
-------"Twice the sum of a number and four is" becomes "2(x+4)="
23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"
three times the number: 3 times x
---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"
-------So the final phrase: 2(x+4)=3x-23"
Answer:
a = 14
Step-by-step explanation:
Area; 196
hope this helps.
Angles 1 and 3, angles 2 and 4, angles 5 and 7, and angles 6 and 8. They are also congruent, because vertical angles are congruent.
