Answer:
To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.
Step-by-step explanation:
Answer:
a) 6°C
b) upward
Step-by-step explanation:
a) The range of temperatures is the difference between the maximum and the minimum temperatures. From the graph we can see that:
maximum temperature: 18 °C
minimum temperature: 12 °C
Then:
range of temperatures: 18-12 = 6°C
b) The trend is upward because, given any temperature, the next one is higher.
Let the first integer be x, then:-
2 (x + x+ 2) = 3(x + 6) + 14
4x + 4 = 3x + 18 + 14
x = 18 + 14 - 4 = 28
the four integers are 28,30,32 and 34.
Answer:
5x^3 + 16x - 2y^3
Step-by-step explanation:
7x + y^3 + 7x^3 + 6x - 3y^3 - 2x^3 + 3x
group like terms
= 7x^3 - 2x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 16x + y^3 - 3y^3
add similar items
= 5x^3 + 16x - 2y^3
Y = 13.
Explanation
Replacing the value x with 4 in the function gives that y= 4+9
y= 13