Casey has 48 red peppers and 16 yellow peppers.If Casey wants to put the peppers into baskets so that each basket has the same number of red peppers and the same number of yellow peppers,what is the greatest number of baskets he can make?How many of each type of pepper will be in each basket?
Answers
Answer:
16 baskets, each containing 3 red peppers and 1 yellow pepper
Step-by-step explanation:
The greatest common factor (GCF) of the two numbers can be found a variety of ways. It is simplest just to recognize that 16 is a divisor of 48, so is the GCF of the two numbers Since that number divides both evenly, the respective quotients will be the number of peppers in each of the 16 baskets.
(48 red peppers)/(16 baskets) = 3 red peppers/basket
(16 yellow peppers)/(16 baskets) = 1 yellow pepper/basket
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Jolly measured the cake. Then she calculated that it has a circumference of 15cm. what is the cake's diameter? Use 3.14 for pi.Will mark brainlest.
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Answers
Answer:
Step-by-step explanation:
A=45
Answers
Answer:
-40
Step-by-step explanation:
You start at -5 then you add 20 to get 15 . Then you subtract 25 from 15 to get -10. Then you add 40 to -10 to get 30. Then you have to subtract 70 from 30 to get -40 F.
Exam Image
Subject to
x ≤ 3
y ≤ 9
x + y ≥ 9
x ≥ 0
y ≥ 0
Answers
Answer:
Minimum value of function is 63 occurs at point (3,6).
Step-by-step explanation:
To minimize :
Subject to constraints:
Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line
Eq (2) is in green in figure attached and region satisfying (2) is below the green line
Considering , corresponding coordinates point to draw line are (0,9) and (9,0).
Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line
Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)
Now calculate the value of function to be minimized at each of these points.
at A(0,9)
at B(3,9)
at C(3,6)
Minimum value of function is 63 occurs at point C (3,6).
Applying the method of corners to the linear programming problem yields a minimum value of 6 at the point (3, 0) for the given objective function and constraints.
The linear programming problem involves minimizing an objective function subject to certain constraints. The constraints are given as follows:
Minimize z = 2x + 3y
Subject to:
x ≤ 3
y ≤ 9
x + y ≥ 9
x ≥ 0
y ≥ 0
To find the minimum value, we employ the method of corners. The feasible region is determined by the intersection of the inequalities. The corner points of this region are where the constraints intersect.
Intersection of x ≤ 3 and y ≥ 0 gives the point (3, 0).
Intersection of y ≤ 9 and x ≥ 0 gives the point (0, 9).
Intersection of x + y ≥ 9 and y ≥ 0 gives the point (9, 0).
Now, evaluate the objective function z = 2x + 3y at each corner point:
z1 = 2(3) + 3(0) = 6
z2 = 2(0) + 3(9) = 27
z3 = 2(9) + 3(0) = 18
The minimum value occurs at point (3, 0) with z_min = 6.
For more such information on: linear programming
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Answers
Answer:
$2,516.85
Step-by-step explanation:
Quinton had a monthly gross income of $2741.67.
He was paid yearly = $2741.67 × 12 = $32,900.04
FICA tax is social security tax (6.2%) and medicare tax (1.45%)
FICA tax rate = 6.2% + 1.45% = 7.65%
FICA tax deduction = 7.65% × 32,900.04
= 0.0765 × 32,900.04
= $2,516.85
His pay was deducted for FICA $2,516.85
Answer:
$2516.85
Step-by-step explanation:
a p e x
Answers
Answer:
x⁷ = 60
Step-by-step explanation:
Given:-
- log x⁵ + log x ¹² = 7 .
To Find:-
- The expotential equation .
Solution:-
Given logarithmic equation is ,
⇒ log x⁵ + log x ¹² = 7
⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]
⇒log x ⁶⁰ = 7
In expotential form we can write it as ,
⇒ x⁷ = 60