Answer:
2 times 8 is 16. 16 minus 4 is 12 plus 5 is 17. answer is 17.
Step-by-step explanation:
Answer:
C. 3
Step-by-step explanation:
Let the larger number be denoted by x.
Let the smaller number be denoted by y.
Given the following parameters;
............equation 1
.........equation 2
From equation 1;
.........equation 3
Substituting equation 3 into equation 2, we have;
![3(5+y) + 2y = 30](https://tex.z-dn.net/?f=3%285%2By%29%20%2B%202y%20%3D%2030)
![15 + 3y + 2y = 30](https://tex.z-dn.net/?f=15%20%2B%203y%20%2B%202y%20%3D%2030)
![15 + 5y = 30](https://tex.z-dn.net/?f=15%20%2B%205y%20%3D%2030)
![5y = 30 - 15](https://tex.z-dn.net/?f=5y%20%3D%2030%20-%2015)
5y = 15
Divide both sides by 5;
y = 15/5
y = 3.
Substituting the value of y into equation 3, we have;
x = 5 + 3 = 8.
<em>Therefore, the value of the smaller number is 3 and the larger number is 8.</em>
<h3><em><u>The equation to find the number of hours for which the total cost will be the same for the two services is:</u></em></h3><h3>12 + 5h = 18 + 3h</h3>
<em><u>Solution:</u></em>
Let "h" be the number of hours
Given that,
<em><u>Derrick's Dog Sitting charges $12 plus $5 per hour</u></em>
Cost : 12 + 5(number of hours )
Cost : 12 + 5h ---------- eqn 1
<em><u>Darlene's Dog Sitting charges $18 plus $3 per hour</u></em>
Cost: 18 + 3(number of hours)
Cost: 18 + 3h ---------- eqn 1
<em><u>For eqn 1 = eqn 2, the number of hours for the total cost will be the same for the two services</u></em>
Therefore,
12 + 5h = 18 + 3h
Thus option A is correct