Answer: the system of equations are
0.1x + 0.04y = 162
y = 2x
Step-by-step explanation:
Let x represent the total dollar amount of the phone sales she makes.
Let y represent the total dollar amount of the computer sales she makes.
Charlotte earns a 10% commission on the total dollar amount of all phone sales she makes, and earns a 4% commission on all computer sales. If she earned a total of $162 in commission, it means that
0.1x + 0.04y = 162
Charlotte had twice as much in computer sales as she had in phone sales. This means that
y = 2x
Answer: the length of the field is 70 yards. The width of the field is 35 yards
Step-by-step explanation:
Let L represent the length of the rectangular athletic field.
Let W represent the width of the rectangular athletic field.
A rectangular athletic field is twice as long as it is wide. This means that
L = 2W
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of the athletic field is 210 yards, it means that
210 = 2(L + W)
L + W = 210/2 = 105
Substituting L = 2W into L + W = 105, it becomes
2W + W = 105
3W = 105
W = 105/3 = 35
L = 2W = 2 × 35
L = 70
Answer:
<h2>There are needed 3 burgers to reach the maximum measure of happiness of 25.</h2>
Step-by-step explanation:
The given function is

Where
is the number of burgers and
the measure of happiness.
To find the maximum burgers needed to reach the maximum happiness, we just need to find the vertex of this function, which is defined as
where
, and
,
, replacing these values, we have


Therefore, there are needed 3 burgers to reach the maximum measure of happiness of 25.
Answer:
F
Step-by-step explanation:
F is the answer because in order to have a right triangle you have to have two of the same lengths and one length that is longer than the two that are the same.
Hope this helps!
Have a good day!