Brad have 19 quarters and 27 nickels.
Step-by-step explanation:
Given,
Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents
One quarter = 25 cents
One nickel = 5 cents
Let,
x represent the number of quarters.
y represent the number of nickels.
According to given statement;
25x+5y=610 Eqn 1
y = x+8 Eqn 2
Putting value of y from Eqn 1 in Eqn 2
Dividing both sides by 30
Putting x=19 in Eqn 2
Brad have 19 quarters and 27 nickels.
Keywords: linear equation, subtraction
Learn more about subtraction at:
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The -2 has a multiplicity of 2
Since the order of (x+2) is squared, i.e. power is 2
Answer:
(btw the first question answer is -4, not 0)
10
Step-by-step explanation:
(btw the first question answer is -4, not 0)
So to solve the 2nd equation you substitute t with 30
so 30-2/3*30
30-20=10
Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
Answer: depth = 5 ft
width = 10 ft
length = 40 ft
Step-by-step explanation:
d = depth
width = d + 5
length = d + 36
Volume = length x width x depth = 2000 cf
d(d+35)(d+5) = 2000
d(
+ 40d + 175) = 2000
d^3 + 40d^2 + 175d = 2000
rewrite in standard cubic polynomial form : ax3 + bx2 + cx + d = 0
d^3 + 40(d^2) + 175d - 2000 = 0
Find the roots of the cubic polynomial:
factors of 2000 are 1, 5, 10 15, 20, etc.
Try the factor 5 first by plugging it in the equation:
5^3 + 40(5^2) + 175(5) - 2000 = 0
Lucky break! No need to find the other roots because they will be negative, and you can't have a negative value for a pool depth.
So, depth = 5 ft
width = 5 + 5 = 10 ft
length = 5 + 35 = 40 ft
