25 years old
25years old+25 years between=50 Erin's father
25 years old+50 Erin's father=75
Answer:
1. it's a right angle. therefore it has a total of 90°
to get the value of x we start with:
90° - 54° = 36°
(10X+16)°=36°
10X = 36 -16
10X = 20
X = 2
Answer:
<u>Question 1:</u>
5 pints per hour
<u>Question 2:</u>
480 tons per day
<u>Question 3:</u>
12 miles per gallon of gasoline
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Step-by-step explanation:
<u>Question 1:</u>
<h2><em>In the morning;</em></h2>
A farm worker packed 3 pints of grapes every 4 minutes.
1 minute = 
hours
Packing rate in pints per hour = 3 pints ÷ 
hours = 45 pints per hour
<h2><em>In the afternoon;</em></h2>
She packed 2 pints of grapes every 3 minutes.
Packing rate in pints per hour = 2 pints ÷ 
hours = 40 pints per hour.
The difference between her morning and afternoon packing rates (in pints per hour) = 45 pints per hour - 40 pints per hour = 5 pints per hour
<u>Question 2:</u>
A recycling plant processes an average of 
tons of glass each minute.
1 hour = 60 minutes
The number of tons of glass processed in 1 hour is:
× 60 = 20 tons of glass in 1 hour.
1 day = 24 hours
Number of tons of glass processed in a day = 20 tons × 24 = 480 tons
<u>Question 3:</u>
A vehicle uses 1
gallons of gasoline to travel 13
miles.
Per 1 gallon of gasoline the vehicle will travel:
1 × 13 ÷ 1 = 12 miles
Answer:
-4
Step-by-step explanation:
The difference from each number is 2 so u keep subtracting 2 from each term until u get to the nth term. For ex: 12-2=10, 10-2=8, 8-2=6...
Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
