Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers?
Answers
Let
x-------> the number of shirts
y------> the number of jeans
we know that
-------> equation
If she sold the shirts at profit and jeans at
profit, her total profit was
so
-------> equation
we have the following system of equations
-------> equation
-------> equation
using a graph tool
see the attached figure
The solution of the system is the intersection both graphs
the solution is the point
that means
therefore
the answer is
the number of shirts is
the number of jeans is
Total cost of shirts = 12x
Total cost of Jeans = 28y
This means that: 12x + 28y = 3900..........(a)
Selling price for Shirts 70% profit, means = 100% + 70% = 170% of the cost price
170/100 * 12x = 1.7*12x = 20.4x
Selling price for Jeans 125% profit, means = 100% + 125% = 225% of the cost price
225/100 * 28y = 2.25*28y = 63y
Total profit = 3885, remember total cost = 3900
Total selling price = 3885 + 3900 = 7785
20.4x + 63y = 7785..........(b)
12x + 28y = 3900.............(a)
20.4x + 63y = 7785...........(b)
Solving the simultaneous equation with a programmable calculator:
x = 150, y = 75
150 shirts and 75 jeans.
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If 1.3of a gallon of paint covers 1.8 of a wall, how much paint is needed to cover the entire wall? i need this asapp!
A) 9.2
B) 7.2
C) 4.8
D) 12.0
Answers
Answer:
B. 7.2
Step-by-step explanation:
radius=24÷2= 12
other line =19.2÷2=9.6 because line from centre bisects chord and is perpendicular to it
Therefore: X²=√ 12²-9.6² ( theorem of Pythagoras)
X=7.2
Answers
-2x. -2x
1x+9 = 5
-9. -9
X=-4
–4 and 6
4 and –6
6 and 4
Answers
i going to solve for x.
given: x^2+2x=24 (subtract 24 on both sides to get make it look like x^2+x+1)
x^2+2x-24=0 (now factor x^2+2x-24 out)
x^2+2x-24 --> (x-4)(x+6)
new equation: (x-4)(x+6)=0 (now make them both equl zero)
new equaions: x-4=0 x+6=0 (now solve for x for both)
x-4=0 x+6=0
x=4 x=-6
your answer is 4 and -6.
if you were not taught how to do what i just did then i can message you how to plug those numbers into x^2+2x=24 to find the answer.
Answer:
The answer is c
Step-by-step explanation:
Correct on e2020
25 < –5x
–5 < x
a. The student should have added 6 to both sides instead of subtracting it.
b. The student divided 25/–5 incorrectly.
c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.
Answers
Answer: c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.
Step-by-step explanation:
From the given steps, the last step is done wrong by student.
When we multiply or divide any negative number on vboth sided of the inequality, the sign of inequality reverse its direction .
In the last step student divide the inequality by -5 but didn't switch direction of the inequality sign.
hence, c is the right option "The student should have switched the direction of the inequality sign to get –5> x for a final answer."
Answer C
When you divide by a negative number the order is invert. (< become >")
y = x − 8
y = −5x − 10
y = −5x + 20
Answers
m = (10 -5 )/(2+3)
m = 5 / 5
m = 1
using y = mx + b passing through (−3, 5)
5 = 1(-3) + b
5 + 3 = b
so b = 8
equation
y = x + 8
answer: y = x + 8 (first choice)
first you have to find the slope by doing y2-y1 / x2-x2 which will be 10-5 over 2-(-3)
Simplify and you get 5/5 which is one
Now solve for d by plugging a set of points back in and you get 8=d
so y=x+8
Answers
Hope this helps.
X = 4.34 x 100/14
X= 31