Answer:
point-slope form: y - 1 = -4/5(x - 8)
slope-intercept form: y = -4/5x + 7.4
Step-by-step explanation:
Find slope using the points (8, 1) and (-2, 9):
m = (y₂ - y₁) / (x₂ - x₁)
= (9 - 1) / (-2 - 8)
= 8 / -10
m = -4/5
Find y-intercept using slope m from above and anyone of the given points, let's use (8, 1):
y = mx + b
1 = -4/5(8) + b
1 = -6.4 + b
b = 7.4
Use slope m and y-intercept b above to form equation of line in slope-intercept form:
y = mx + b
y = -4/5x + 7.4
For point slope form use slope m from above and a point, again let's use (8, 1):
y - y₁ = m(x - x₁)
y - 1 = -4/5(x - 8)
Answer:
It will take 1 day.
Each women will make 17 blankets
Step-by-step explanation:
We can model the number of blankets of Susan and Ella as linear equations:
Susan: B = 8 + 9*t
Where B is the number of blankets and t is the time in days.
For Ella, we have:
B = 10 + 7*t
To find when they will have made the same number of blankets, we just need to equate the value of B from one equation to the value of B from the other, and then we find the value of t:
8 + 9*t = 10 + 7*t
2*t = 2
t = 1 day
After 1 day they will have made the same number of blankets.
This number of blankets is:
B = 8 + 9*1 = 8 + 9 = 17 blankets
Answer:
i think its the first one
Step-by-step explanation:
i hope this helps
Answer: 140 ml
Explanation:
let x be the original amount of water
x - 15% = 119
But x = 100% because it’s the original
=> 100% - 15% = 119ml
85% = 119ml
Find the amount of water in 15%:
85% = 119
15% = y
=> 85/15 = 119/y
Cross multiply:
85y = 15 x 119
85y = 1785
y = 1785/85
y = 21
But y = 15% therefore, 15% = 21ml
Back to our equation:
x - 15% = 119ml
x - 21ml = 119ml
x = (119 + 21)ml
x = 140ml
Therefore, the original amount of water is 140ml
Answer:
-2.25
Step-by-step explanation:
We have that the mean (m) is equal to 500, the standard deviation (sd) 20
They ask us for P (x <455)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / sd
We have all these values, replacing we have:
z = (455 - 500) / (20)
z = -2.25
