Answer:
There were 3 adults
Step-by-step explanation:
Step 1: Derive the first expression
a+c=10...equation 1
where;
a=number of adults
c=number of children
And total number of people=10
Step 2: Derive the second expression;
Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)
where;
Total cost of tickets=$186.50
price per child ticket=$15.95
price per adult ticket=$24.95
number of children=c
number of adults=a
replacing;
(15.95×c)+(24.95×a)=186.5
24.95 a+15.95 c=186.5....equation 2
Step 3: Combine equation 1 and 2 and solve simultaneously
24.95 a+15.95 c=186.5
-
24.95(a+c=10)
(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)
-9 c=-63
c=-63/-9
c=7
replace the value for c in equation 1
a+c=10
a+7=10
a=10-7
a=3
There were 3 adults
<span>5 1/4 + x + 6 5/6 + 4 2/3 = 22 1/6
5 3/12 + x + 6 10/12 + 4 8/12 = 22 2/12
15 21/12 + x = 22 2/13
</span>16 9/12<span> + x = 22 2/12
x = 22 2/12 - </span>16 9/12<span>
x = </span>21 14/12 - 16 9/12
x = 5 5/12
answer is <span>A. 5 5/12</span>
Answer:
A. 4
B. 1
Step-by-step explanation:
The degree of a one-variable polynomial is the largest exponent of the variable.
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<h3>A.</h3>
For f(x) = x^4 -3x^2 +2 and g(x) = 2x^4 -6x^2 +2x -1, the sum f(x) +a·g(x) will be ...
(x^4 -3x^2 +2) +a(2x^4 -6x^2 +2x -1)
= (1 +2a)x^4 +(-3-6a)x^2 +2ax -a
The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.
The largest possible degree of f+ag is 4.
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<h3>B.</h3>
The polynomial sum is ...
f+bg = (1 +2b)x^4 +(-3-6b)x^2 +2bx -b
When b = -1/2, the first two terms disappear and the sum becomes ...
f+bg = -x +1/2 . . . . . . a polynomial of degree 1
The smallest possible degree of f+bg is 1.
Answer:
195
Step-by-step explanation:
So -79 + x = 116
then x = 116 + 79 = 195
Answer:
x = 6, y = -5.
Step-by-step explanation:
6x + 8y = -4
-6x - 10y = 14 Adding will eliminate the terms in x:
0 - 2y = 10
y = 10/-2 = -5,
Plug this into the second equation:
-6x - 10(-5) = 14
-6x = 14 - 50 = -36
x = -36/-6
x = 6.
