1. 5 Burgers and 3 orders of fries cost $34. 4 Burgers and 4 orders of fries cost $32. How much does each burger and each order of fries cost?2. A pile of 44 coins is made up of pennies, nickels, and dimes. If the pile is worth $3.07 and there are twice as many nickels as pennies, how many of each coin does the pile contain?
Answers
Answer:
1.
a burger costs $5
an order of fries costs $3
2.
7 pennies
14 nickels
23 dimes
Step-by-step explanation:
x = price of a burger
y = price of a order of fries
5x + 3y = 34
4x + 4y = 32
=>
x + y = 8
x = 8-y
5×(8-y) + 3y = 34
40 - 5y + 3y = 34
-2y = -6
y = $3
x = 8 - 3 = $5
x = number of pennies
y = number of nickels
z = number of dimes
0.01×x + 0.05×y + 0.1×z = 3.07
y = 2x
x + y + z = 44
x + 2x + z = 44
3x + z = 44
z = 44 - 3x
0.01×x + 0.05×2x + 0.1×z = 3.07
0.11×x + 0.1×z = 3.07
0.11×x + 0.1×(44-3x) = 3.07
11x + 10×(44-3x) = 307
11x + 440 - 30x = 307
-19x = -133
x = 7
y = 2×7 = 14
z = 44 - 3×7 = 44 - 21 = 23
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6x2-5x-25
trial and error
(2x-5)(3x+5)
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O A. y = 0.4x + 10
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Answers
Answer:
y=10x+0.4
Step-by-step explanation:
I did the test too.
Answer:
y=10x+0.4
Step-by-step explanation:
Answers
Answer:
Firm A
Step-by-step explanation:
D = Debt
A= Asset
E = Equity
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For Firm A:
For Firm B:
Therefore, Firm A has a greater return on equity.
Answers
Answer:
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Step-by-step explanation:
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hope this helped =3
Answers
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Answers
Answer:
null hypothesis = µ1=µ2=µ3; µ1= popuation mean of inulin µ2 = population mean of fructicoligosaccharide =µ3=population mean of lactulose
alternative hypothesis =µ1≠µ2 ≠µ3
t1= µ-45/s1 / N-1
at the significance level 0.01
t at ᵅ/2 =0.005 and degree of freedom= 35-1=34 is 2.25
t1 = µ-32/s1/N-1
2.25= µ-45/s1/34
= s1/34= µ-45/2.25
=s1 =(µ-45/2.25)*34
t2= µ-32/s2/34
2.25 =µ-32/s2/34
s2/34= µ-32/2.25
s2=µ-32/2.25*34
T= 45-32/s1/sqrt34+s2/sqrt34
t at 0.005 and no of grees of freedom 68 =2.37
2.37=45-32/
or s1/sqrt34+s2/sqrt34 = 13/2.37
s1+s2 = 13/2.37 *5.83
s1+s2= 31.98 or 32
(µ1-45/2.25)*34+µ2-32/2.25*34=32
or µ1+µ2 = 2525
µ1=2525-µ2
µ1 and µ2 are not equal
thus null hypothesis is rejected
conclusion all the three components are not in equal amount in hydrogen production
Explanation : in this experiment we have to prove whether the means of insulin,fructicoligosaccharide and lactulose are equal. so even if we prove that two of them are not equal null hypothesis will be rejected. we use student-t test because we have to compare the means of two population.