A first number plus twice a second number is 6. Twice the first number plus the second totals 24. Find the numbers
1 answer:
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Answer:
{13,14}
Step-by-step explanation:
Let
x ----> number of hours per week of tutoring
y ----> number of hours per week of landscaping
we know that
She can work no more than 17 hours
so
-----> inequality A
She must earn at lest $240
The term " at least" means, "greater than or equal to"
----> inequality B
If Autumn worked 3 hours landscaping
then
substitute in the inequality A and in the inequality B
<em>Inequality A</em>
Inequality B
The solution of the system is the interval {12.75,14]
All possible values for the number of whole hours tutoring that she must work to meet her requirements are
{13,14}
Answer:
6.75g
Step-by-step explanation:
The first step is converting everything to grams, by rules of three. Then we add.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
First step: 0.0025kg to g
Each kg has 1000g, so:
1kg - 1000g
0.0025kg - xg
x = 1000*0.0025 = 2.5g
0.0025kg = 2.5g
Second step: 1750 mg
Each g has 1000mg, so:
1g - 1000mg
xg - 1750mg
1000x = 1750
x = 1.75g
1750 mg = 1.75g
2.25g - OK
Third step: 825,000 μg to g
Each g has 1,000,000 ug, so:
1g - 1,000,000 ug
xg - 825,000 ug
1,000,000x = 825,000
x = 0.25g
825,000 μg = 0.25g
Final step: adding everyting
0.25g + 2.25g + 1.75g + 2.50g = 6.75g
Answer:
142°
Step-by-step explanation: