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
5 x 11.75 = $58.75 (admission ticket)
5 x 5 = $25.00 (box lunch)
$25.00 + $58.75 = $83.73 (total)
A. 4y(2y + 5) = 4y(2y) + 4y(5) = 8y² + 20y
B. 7a(3a + 8b) = 7a(3a) + 7a(8b) = 21a² + 56ab
C. 13x³(3y + 2x²) = 13x³(3y) + 13x²(2x²) = 39x³y + 26x⁴ units²
D. 7m²(3m - 5) = 7m²(3m) - 7m²(5) = 21m³ - 35m² units²
Ok done. Thank to me :>
The three consecutive integers are 127, 128, 129
Answer:
Step-by-step explanation:
(3,4)=x1,y1 (5,8)=x2,y2. The slope is calculated using formula: Slope =y2−y1x2−x1. =8−45−3. =42. =2.
