Answer:
72
Step-by-step explanation:
Divide interest amount by 6.5%.
Answer:
4
Step-by-step explanation:
Since,
The width of the Longer gear is 7, and the smaller gear has a width of 3..
7-3 = 4
Hope it helps...
Marking me as Brainliest would help me... :(
Answer:
To get the highest scores, one needs to answer 4 computational problems and 8 graphical problems.
Step-by-step explanation:
Let x be the required number of computational problems one can answer
And y be the number of graphical problems one can answer.
- One cannot answer more than 12 questions in total
x + y ≤ 12
- Computational problems take 2 mins to answer and graphical problems take 4 mins to answer and there is a maximum of 40 mins for the quiz
2x + 4y ≤ 40
- Then finally, there 6 points associated with a computational problem and 10 points associated with a graphical problem and we want to maximize the number of points obtained from the test.
P(x,y) = 6x + 10y
So, the problem looks more like a linear programming problem to maximize
P(x,y) = 6x + 10y
subject to the constraints
x + y ≤ 12
2x + 4y ≤ 40
solving the constraint equations using the maximum values of the inequalities
x + y = 12
2x + 4y = 40
From the first eqn, x = 12 - y
Substituting into the second wan
2(12 - y) + 4y = 40
24 - 2y + 4y = 40
2y = 16
y = 8
x = 12 - y = 12 - 8 = 4
So, the solution of the equation of constraints, or even the graph of both constraint equation is
x = 4, y = 8
These represents the number of computational and graphical problems to maximally satisfy the constraints and maximize the required number of points.
Hope this Helps!!!
There are 59 eggs in the basket
Step-by-step explanation:
There are between 50 & 60 eggs in a basket
- When Roza counts by 3's there are 2 leftover
- When she counts by 5's there are 4 leftover
We need to find how many eggs in the basket
∵ When Roza counts by 3's there are 2 leftover
∵ When she counts by 5's there are 4 leftover
- That means the number of eggs when divided by 3 give
remainder 2 and when divided by 5 give remainder 4
- To find the number look for the numbers that divisible by 5 and
add 4 to them and then check the remainder when they divided
by 3
∵ Between 50 and 60 there is only one number divisible by 5
is 55 (not including 50 or 60)
∵ 55 + 4 = 59
∴ 59 gives remainder 4 when divided by 5
Let us check them with 3
∵ 59 - 2 = 57
∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)
∴ 59 when divide by 3 gives remainder 2
∴ 59 gives remainder 4 when divided by 5 and remainder 2 when
divided by 3
∴ The number of eggs in the basket is 59
There are 59 eggs in the basket
Learn more:
You can learn more about the word problems in brainly.com/question/10557938
#LearnwithBrainly