You have to translate the statement into a mathematical expression...
Six times the number of cattle, if we let c be the number of cattle is:
6c
Less 87 means to subtract 87 so
6c-87
is 999 means
=999
so all together we have:
6c-87=999 now we need to isolate the variable by itself on one side of the equal sign....
6c-87=999 add 87 to both sides
6c=1086 divide both sides by 6
c=181
So there are 181 cattle.
Answer:
- 3, 9, 25
Step-by-step explanation:
To find the required terms of the sequence substitute n = 2, 5, 9 into the given rule, that is
= - 7 + (2 - 1)4 = - 7 + (1 × 4) = - 7 + 4 = - 3
= - 7 + (5 - 1)4 = - 7 + (4 × 4) = - 7 + 16 = 9
= - 7 + (9 - 1)4 = - 7 + (8 × 4) = - 7 + 32 = 25
15 mi/h= 15mi/60 min= 1/4 (mi/min)
x is original speed (mi/min)
t is original time
x*t =260
(x+1/4)=5x/4 is new speed
t-20 - new time
(x+1/4)(t-20)=260
xt = (x+1/4)(t-20)
xt=xt + t/4 - 20x - 5
t/4=20x+5
t=80x +20
We can substitute t=80x +20 into equation x*t =260
x*(80x+20)=260
80x²+20x-260=0
4x²+x-13=0
D=b² - 4ac = 1+4*4*13= 209
x=(-1+/-√209)/2*4
x=1.68 mi/min
1.68mi/min * 60 min/1h≈100 mi/h
Check
260/100=2.6h time with old speed
260/(115)=2.26 h time with new speed
2.6-2.26 = 0.34 h difference between old and new time
0.34h*60min/1h≈20 min difference between old and new time in minutes
We are asked to perform the long division on the following expression.
Let us perform the long division.
So, we have
Quotient: q(x) = 19x^2 - 24x + 30
Remainder: r(x) = -32
Divisor: b(x) = x + 1
Therefore, the equivalent expression is
The 3rd option is the correct answer.
48 stamps because 29-5=24 , 24x2=48
