Answer:
17) x=7
18) x= -26
19) x= -8
20) x= 6
Step-by-step explanation:
17) is congruent
18) is supplementary
19) is congruent
20) is congruent
Answer:
= 8
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 8
Hope it helps!
Using a system of equations, it is found that David is 12 years old.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
- Variable z: Rebecca's age.
David is three times younger than the dad and twice as old as Rebecca, then:
Rebecca is 30 years younger than the dad, hence:
z = y - 30.
Then, since x = 2z and z = y - 30 and y = 3x, we solve for x to find David's age.
x = 2(y - 30)
x = 2(3x - 30)
x = 6x - 60
5x = 60
x = 60/5
x = 12.
David is 12 years old.
More can be learned about a system of equations at brainly.com/question/24342899
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<span>Given that Tamara's annual salary is $48,000 means that his monthly salary is $48,000 / 12 = $4,000. For Tamara to make $6,000 this month, she needs to make an additional $2,000 from commissions in addition to her salary. Given that she earns 4% commision on all sales, let the sale she needs to make to get $2,000 be S, then 4 / 100 x S = 2000 this gives 0.04S = 2000 giving that S = 2000 / 0.04 = 50,000. Therefore, Tamara needs to make a sales of $50,000 to be able to earn $6,000 this month.</span>
Answer:
$29,750
Step-by-step explanation:
Area (pavement) = 2 x 3.5(50 + 35)
= 7 x 85
= 595 sq. m.
Cost
= 400 per 8. sq. m.
= 50 per sq. m.
=> 595 x 50
=> $29.750