Answer:
1 donut and a bag of coffee costs $4.50
Step-by-step explanation:
Start by creating a pair of simultaneous equations.
Let
a donut.
Let
a bag of coffee.
Therefore:


There are a few ways to solve these equations. This time I'll show you the elimination method. We eliminate one of the variables to get the other variable equal to a number.
Start by multiplying one of the equations by a number so that one of the variables has the same coefficient (number at the front) as the same variable in the other equation.
I'll multiply the second equation by 2 so that the
will have a coefficient of 2 like the 1st equation.
,
.
Now we have two equations with the same coefficient of
. We can subtract the equations from each other to eliminate the
variable and leave
equal to a number.
Subtracting
and
:

Simplify to get
.
Therefore
.
Now we have one of the variables, we can find the other variable by putting the known variable back into one of the equations.
- original equation
- substituting
.
- simplifying
- re-arranging to solve for 
Therefore,
and
.
So 1 donut costs $1.50 and 1 bag of coffee costs $3.
1 donut and a bag of coffee costs $4.50
Answer:
53
Step-by-step explanation:
The smallest number of degrees is the smallest angle
53 is the smallest number
Answer:
k = constant of proportionality = 1/25
Step-by-step explanation:
Let
Amount of commission = x
Sales = y
Amount of commission she earns is directly proportional to the sales
x = k * y
Where,
k = constant of proportionality
what is the constant of proportionality of Yoshi sales commission
x = k * y
x = $8
y = $200
x = k * y
8 = k * 200
8 = 200k
k = 8/200
k = 1/25
k = constant of proportionality = 1/25
Answer:
1.5 nautical miles
Step-by-step explanation:
See the attached diagram.
The submarine starts to dive at point A and diving along AB.
If the distance traveled underwater i.e. AB = 1.7 Nautical miles and C is the point directly above its current position at B.
Then Δ ABC is a right triangle having ∠ BAC = 28° {Given}
So, using trigonometry we can write
⇒
nautical miles.
Therefore, the surface distance that the submarine travels is 1.5 nautical miles. (Answer)
Answer:
Step-by-step explanation:
Quadric functions from what I know are basically functions that may have more than 1 answer. For example 2x=16 x could either be -2 or positive 2. Hope that helps!