Answer: jason has 10 dimes and 5 quarters.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a quarter is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes that he has.
Let y represent the number of quarters that he has.
He has twice as many dimes as quarters. This means that
x = 2y
Jason has $2.25 worth of dimes and quarters. This means that
0.1x + 0.25y = 2.25 - - - - - - - - - - - 1
Substituting x = 2y into equation 1, it becomes
0.1 × 2y + 0.25y = 2.25
0.2y + 0.25y = 2.25
0.45y = 2.25
y = 2.25/0.45
y = 5
x = 2y = 2 × 5
x = 10
Answer:
a) a= (3/4)t
4a = 3t
b = (5/2)t
2b = 5t
b)See explanation below
c) It will take 30.075 hours for the whole business to make at least $500 profit
Step-by-step explanation:
a) First we would represent the information given in terms of amount of bracelet produced and time spent in production with variables in order to convert to linear equations
Let number of bracelet Darrelle makes = a
Number of bracelet Danica makes = b
Let the time spent in producing them in hours = t
Darrelle takes 4 hours to make 3 bracelets:
Rate of producing bracelet = (number of bracelet produced)/time
Rate = a/t = 3/4
4a = 3t
Linear equation form: y = mx + c
a= (3/4)t
The above equation is in the slope-intercept form indicating the intercept = 0 and slope = 3/4
4a - 3t = 0 (equation in standard form )
Danica makes 5 bracelets every 2 hours:
Rate of producing bracelet = (number of bracelet produced)/time
Rate = b/t = 5/2
2b = 5t
Linear equation form: y = mx + c
b = (5/2)t
The above equation is in the slope-intercept form indicating the intercept = 0 and slope = 5/2
2b - 5t = 0 (equation in standard form)
b) The equations are linear equations, hence they can be graphed.
But as regards graphing using special functions, this answer can only be answered by you as I'm not aware of the special functions discussed in the course.
c) Darrelle makes $10.50 in profit per bracelet.
Danica makes $3.50 in profit per bracelet
Since Darrelle and Danica work the same amount of time, we have to find the relationship between their profit, the number of bracelets produced and the time.
Profit for Darrelle for 'a' number of bracelet product = $10.50 × a = $10.50a
Profit for Danica per 'b' number of bracelet product = $3.50 × b = $3.50b
Let P = total profit made by both
P = $10.50a + $3.50b
Relationship of profit in terms of time spent in production when they work same amount of time:
P = $10.50(3/4 ×t)+ $3.50(5/2 × t)
P = 16.625t
When P = $500, t = ?
500 = 10.50(3/4 ×t)+ 3.50(5/2 × t)
500 = 7.875t + 8.75t
500 = 16.625t
t = 30.075 hours
It will take 30.075 hours for the whole business to make at least $500 profit
Answer:
square so all sides are equal
bc^2+mc^2=bm^2
16x^2+4x^2=20x^2=2root5x
nd^2+dm^2=nm^2
x^2+4x^2=5x2=root5x
then:-
1/2*b*h=1/2*2root5x*root5x
=1/2*10x^2=5x^2
Answer:
I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25
