Answer:
Please refer to the attached graph
Step-by-step explanation:
Knowing the following:
X = amount of money donated to the city youth fund
Y = amount of money donated to the educational growth foundation
We can write the statements in form of equations:
"Will donate up to $500, the money will be divided between two charities"
(a) 
"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"
(b) 
If we graph both equations we can see the area where both conditions are met (see graph attached)
Where the blue line is (a) and the red line is (b)
Shaded area represent all the possible solutions for the donations, for example:
X=100 and Y=400 or
X=50 and Y=200, etc.
Some fractions that are equivalent to 2/3 are 4/6 and 6/9
to find equivalent fractions, you just have to reduce the fraction or multiply both the top and bottom numbers by the same number to increase the fraction.
2/3 is as reduced as it can be, though.
Answer:
Ivan: 4
Caleb: 4, 4, 4, 4, 4, 4, 4
Step-by-step explanation:
For every 4 Ivan sees, Caleb sees 28. (4 times 7)
Answer:
One possibility is that;
g(x) = (x + 1)
while h(x) = 5x^3
Step-by-step explanation:
Here, we are told to find one possibility for f(x) and g(x)
The term h(x) = (Fog)(x) means that we are inserting g(x) into f(x) to give h(x)
Now let’s have it this way;
We can see that g(x) = (x + 1) , then h(x) = 5x^3
This is one possibility of the values of g(x) and h(x)
Answer:
The labor fee is $14.25, each quart of oil costs $2.25.
Step-by-step explanation:
Let $x be thee price of each quart of oil and $y be a flat fee for labor.
1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,
5x+y=25.50.
2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,
7x+y=30.00.
3. Subtract from the second equation the first one, then
Substitute it into the first equation:
The labor fee is $14.25, each quart of oil costs $2.25.
