Answer: 5/6 inch/minute
Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.
In this case you want to know inches per minute.Therefore:
5
8
inches
÷
3
4
minute
5
8
÷
3
4
=
5
8
×
4
3
←
multiply by the reciprocal
=
5
8
2
×
4
3
=
5
6
Rearrange the equation by writing
x² + x - 90 = 0
x² + x = 90
x² + x + 1/4 = 90 + 1/4
Recall that (a + b)² = a² + 2ab + b². Then
x² + 2 • x/2 + (1/2)² = 361/4
(x + 1/2)² = 361/4
x + 1/2 = ± √(361/4)
x = -1/2 ± 19/2
x = 9 or x = -10
Answer:
Step-by-step explanation:
Divide the numbers and write what you got in distributive property
Answer:
-0.75
Step-by-step explanation:
To get the z score we have to use this formula
Z = X-mean/standard deviation
X = 2300
Mean = 3200
The standard deviation = 1200
When we plug these values into the z formula above, we have:
2300-3200/1200
= -900/1200
= -0.75
the z-score for a backyard structure costing $2,300 is therefore -0.75
