Answer:
y=9x+75
Step-by-step explanation:
since we know that the slope must be the same for two lines to be proportional, we are gonna start there.
so our equation is: y= 9x + b
we need to find b to complete our equation, so substitute in the points we were given.
3 = 9(-8) + b
so now,
3 = -72 + b
now we have to isolate b to find out what it is,
3 = -72 + b
+72 +72
so now: 75= b
Put that back into the starting equation: y = 9x + 75
X=30
Put in proportions x/45 = 18/27.
Cross multiply and get 27x= 45 x 18
Or 27X = 810.
Next, divide by 27 on both sides to get X=30.
Answer:
180
Step-by-step explanation:
At the beggining, it says they are stacked in 5 layers which means the number of cubes is divisible by 5.
If the number of cubes equals x:
The least amount of sugar cubes the Jones family could have used is
which equals 122. The most they couldve used is
which equals 183.
Based on the information from the Jones family, x is between 122 and 183.
Based on the information from the Connor's, x is between 176 and 264.
Based on the information from both, x is between 176 and 183. The only number that is divisible by 5 between those numbers is 180 cubes.
Fraction leftover = 1/2
George gave (1/2) of the leftover to Olivia:
= 1/2 * 1/2
= 1/4
Fraction George gave to Olivia = 1/4
Answer:
Explanation:
first term, a₁ = 1
difference between the terms: -3
- used geometric formula :

<u>where "a₁ is first term" and "r refers to common difference"</u>
- formula for this nth term:
