We know for our problem that Rachel makes $10 per hour. Since
represent the number of hours that she works,
will be the total amount that she will make for working
hours. We also know that she sells bracelets for $5 each. Since
represents the number of of bracelets that she sells,
will be her total revenue for selling
bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of
and
must be equal or greater than 200:
We can conclude that <span>the graphs that shows the inequality that represents this situation, with its solution region shaded is:</span>
Answer:
Laura has $4.50 in dimes and quarters she has 3 more dimes than quarters How many quarters does she have
She has 3 more dimes than quarters. How many quarters does she have? Laura has 15 dimes and 12 quarters.
Step-by-step explanation:
You need these two basic solutions and facts to find the equation of a line:
- If you know the gradient
and one point 
:
- If you know the gradient two points
:
- The slope of a line is the coefficient m when you write it in the
form - Parallel lines have the same slope
- The slopes of perpendicular lines give -1 when multiplied
We can use this list to solve all the exercises:
b)
Use the first equation to get
c)
Use the second equation to get
d) same as c)
e) We derive the slope of the line by writing it as
So, the slope is -1/5. From here, it's the same as b)
f) same as e)
g) Again we find the slope as
so the slope is -3, and a perpendicular line has slope 1/3. From there, it's the same as b).
A rhombus is a shape with four congruent sides but its angles are not congruent.
Answer:
4
Step-by-step explanation:
Every year, the world grows by 1.1%. Converting to a decimal, we can divide by 100 to get 1.1% = 0.011. This means that the world grows by 0.011 exponentially each year. To put this into an expression, we can add 1 to our percentage to get 1.011. This represents 1 = 100% (the original population) and the growth of 1.1% = 0.011. We multiply the rate including the growth by the population to get the population after one year. After the first year, we have
population * 1.011 as the new population after one year. We do that for every year, so the second year's population is population*(1.011)*(1.011) and so on. If x represents the amount of years, then the population can be represented as
(original population)*1.011ˣ
Therefore, to get from 7 billion to 7.31 billion, we have
7 billion * 1.011ˣ = 7.31 billion
divide both sides by 7 billion to relatively isolate the x
1.011ˣ = 7.31/7
Another way of writing this is
log (base 1.011) (7.31/7) = x
≈ 3.96
Rounding to the nearest whole number, we get 4 as our answer
