Answer:
Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.
Step-by-step explanation:
Given the following equation:
The steps to solve it are:
5(x-3)+7(x+4)-73
1. Apply the Distributive property:
5x-15+7x+28=73
2. Add the like terms:
12x+13=73
3. Subtract5 13 from both sides of the equation:
12x+13-(13)=73-(13
12x=60
4. Divide both sides of the equation by 12:
12r/12 = 60/12
x = 5
To verify it, let's substitute into the equation:
5(5-3)+7(5+4)=73
Evaluating, we get:
5(2)+7(9)=73
10+63=73
73=73
Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that 5-3 is not equal to -2 )
The answer would be 31,115. You would add 100% to 27% to make 127% (1.27). Then you multiply 1.27 to 24,500 to get 31,115 as your answer.
0.04, or 4 hundredths is 10 percent of 0.40
10 times 0.04 gives you 0.40
Step-by-step explanation:
Let the area of rectangle with given points are as follows :
A(-3,3)
B(3,2)
C(4,-1) = C( x1,y1)
D(-2,-3) = D( x2, y2)
Now,
- The distance of CD = root under
(x2-x)^2 +( y2 - y1)^2
= root under (-2-4)^2 + ( -3+1)^2
= root under (-6)^2 + (-2)^2
= root under 36 + 4
= root under 40
= 2root 10
Therefore; the unit number if CD is 2 root 10.
Answer:
$812.5
Step-by-step explanation:
Given: Ethan need to save at least $500.
He has saved so far $175
Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.
Lets assume Ethan´s paycheck amount be "x"
First finding the remaining amount to be covered.
Remaining amount= 
∴ The remaining amount to be covered is $325.
As given, Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.
Now, using the inequality to find the amount of paycheck.
⇒ 
multiplying both side by 5
⇒ 
divinding both side 2
⇒ 
∴ 
Hence, Ethan must make at least $812.5 in his paycheck to cover his remaining anount to buy dirt bike.
