Answer:
The answer is...
Step-by-step explanation:
Cost
The expression is r = 500 • 2, where “r” represents the rate.
This is a linear equation
y=mx+b
y=50x+400 (when x equals the number of hours played)
1000=50x+400
*first, isolate the variable (x)
-50x=-1000+400
*divide by -50 to get x by itself
x=20+8
The answer is x=28
Answer:
The ages of the four siblings are: 5, 7, 9 and 11 years old.
Step-by-step explanation:
The computation of the age of the four siblings is shown below:
Given that
n = 4
a1 =? a2 =? a3 =? a4 =?
a4 = a1 + 6 years
S4 = 32
Based on the above information
As we know that
Sn = (a1 + a4) × n ÷ 2
S4 = (a1 + a4) × 4 ÷ 2
32 = (a1 + a1 +6) × 2
16 = 2a1 + 6
2a1 = 10
a1 = 10 ÷ 2
= 5
So, a4 = a1 +6
= 5 +6
= 11
a4 = a1 + (4-1) × d
11 = 5 + 3 × d
d = 6 ÷ 3
= 2
So,
a2 = a1 + d
= 5 + 2
= 7
a3 = a2 + d
= 7 + 2
= 9
Hence, The ages of the four siblings are: 5, 7, 9 and 11 years old.
Answer:
Step-by-step explanation:
(2):
First let's organise the data:
33 miles ... x mph ... 4h - downstream
33 miles ... y mph ... 7h - up the stream
x = 33/4 = 8.25 mph
y = 33/7 = 4.71 mph
(3)
P(x) = 
To find the amount of key rings sold when the profit is 5000$ we have to equate P(x) with 5, because in the problem the profit of the key rings is displayed in terms of thousands.
Since the number of keyrings sold has to be positive the only answer is 4 thousand key rings.
