I need help with 19 20 21
1 answer:
You might be interested in
Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively
<u>Solution:</u>
Given, Matt gets paid at home for doing extra chores.
We have to find How much does Matt earn for completing each type of chore?
Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.
Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.
Then, 6 amount for 1 load of laundry + 1
amount for 1 load of dish = 27
The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31
Then, 1 amount for 1 load of laundry + 9
amount for 1 load of laundry = 31 ⇒m + 9n = 31 ⇒ (2)
Now let us solve equations (1) and (2)
0 – 53n = - 159
-53n = -159
53n = 159
n = 3
Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4
Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.
Refer to the diagram shown below. It shows a vertical cross-section of the paraboloid through its axis of symmetry.
Let the vertex of the parabola be at the origin. Then its equation is of the form
y = bx²
Because the parabola passes through (18,8), therefore
8 = b(18²)
b = 0.02469
The parabola is y = 0.02469x².
The receiver should be placed at the focal point of the paraboloid for optimal reception.
The y-coordinate of the focus is
a = 1/(4b) = 1/0.098765 = 10.125 in
Answer: The receiver is located at 10.125 inches from the vertex.
Let the vertex of the parabola be at the origin. Then its equation is of the form
y = bx²
Because the parabola passes through (18,8), therefore
8 = b(18²)
b = 0.02469
The parabola is y = 0.02469x².
The receiver should be placed at the focal point of the paraboloid for optimal reception.
The y-coordinate of the focus is
a = 1/(4b) = 1/0.098765 = 10.125 in
Answer: The receiver is located at 10.125 inches from the vertex.