Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales indollars, x, which can be represented by g(x) = 185 + 0.03x. Jim is paid $275 per week plus 2.5%
of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the
value of x, in dollars, that will make their weekly pay the same.
Answers
185 dollars + 3/100 * x (3 percent of X -> his total weekly sales in dollars).
Jim's weekly pay is:
275 dollars + 25/1000 * x (2.5 percent of X -> his total weekly sales in dollars, i.e. 2.5/100 = 0.025).
We need to have these weekly pays the same, so we equalize these expressions and solve the obtained equation by x:
185 + 0.03*x = 275 + 0.025*x
we switch free numbers to the right side and unknowns to the left side of equation:
3/100 * x - 25/1000 * x = 275 - 185
3/100 * x - 25/1000 * x = 90 /*1000 (multiply whole equation by a 1000, to loose fractions)
we get:
30*x - 25*x = 90000
5*x = 90000, divide whole equation by 5 (which means both sides of equation):
x = 90000/5
x = 18000 dollars
Value of x is 18 000 for which their weekly pay is the same.
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Which Expression is equivalent to (3x^(5) + 17 x^{3) -1) + (-2x^(5) -6)?
Answers
Answer:
the proportion is 0.2779, that is a 27.79%
Step-by-step explanation:
The article reported that 1880 children ate fast food from a sample of 6765 children. We can use the rule of three to find the proportion of children that ate fast food
- from 6765 we have 1880 children that ate fast food
- from 100 children we have
children that ate fast food
that gives us that a 27.79% of the children ate fast food on a typical day. We can obtain the proportion by dividing the percentage by 100, that gives us a proportion of 27.79/100 = 0.2779.
I hope this helped you!
Answers
Answer:
17) m(slope) = -5
18) m = 1/3
19) m = -1/5
20) m = undefined
21) m = 1/4
22) m = -2/3
23) m = -1
24) m = -1
25) m = -2/3
26) m = -5/2
Answers
Answers
The quarts of the two different fruit juices and, the flat and per page fee is required.
The number of quarts of 100% fruit juice is 4.5.
The number of quarts of 80% fruit juice is 1.5.
The flat fee is $2 and the per page fee is $0.84.
Let be the number of quarts of 100% fruit juice
and be the number of quarts of 20% fruit juice
The two fruit juices combine to form 6 quarts of fruit juice
The mixture ratios will be
Subtracting the equations we get
The number of quarts of 100% fruit juice is 4.5.
The number of quarts of 80% fruit juice is 1.5.
Let be the number of pages
be the total cost.
The ordered pairs are
and
Finding equation of line
The flat fee is $2 and the per page fee is $0.84.
Learn more:
Change the percents to decimals (.8, 1, and .2)
To model 6 quarts of 80% juice, write as 6(.8)
To model an unknown amount of 20% juice, write as x(.2)
Since there will be a total of 6 quarts, the amount of 100% juice must be 6 quarts minus the amount of 20% juice, which I called 'x'.
Therefore, to model the amount of 100% juice, write it as (6-x)(1)
You can use these to make the equation x(.2)+(6-x)(1)=6(.8)
.2x+6-x=4.8
-0.8x+6=4.8
-0.8x=-1.2
x=1.5
This is the amount of 20% juice. To find the amount of 100%, subtract 1.5 from 6.
6-1.5=4.5. This is the amount of 100% juice to use.
Question 2: Find the flat cost and cost per page if 4 pages costs $5.36 and 7 pages costs $7.88.
Since we know that the flat cost is the same in both, we can model it with the variable 'y'
Also, since the cost per page is the same in both, we can model it with the variable 'x'
Therefore, we know that y+4x=5.36 and that y+7x=7.88
We can use the elimination method to solve for x. To do that, we must have one equation with y and one with -y.
Multiply the first equation by -1 to get -y-4x=-5.36
Eliminate the y's and add the other two
-y-4x=-5.36
y+7x=7.88
3x=2.52
Divide both sides by 3
x=.84
Then, plug x back into one of the equations
y+4(.84)=5.36
Simplify
y+3.36=5.36
Subtract 3.36 from both sides
y=2
Therefore, the flat rate $2 and the cost per page is $0.84
Answers
The measures of the labelled angles that are vertically opposite to each other are:
x + 87 = 116 degrees
4x = 116 degrees
(x + 87) and 4x are vertical angles directly opposite each other.
According to the vertical angles theorem, (x + 87) and 4x are congruent.
- Therefore, we will have:
(x + 87) = 4x
- Solve to find the value of x
x + 87 = 4x
- Subtract x from both sides
x + 87 - x = 4x - x
87 = 3x
- Divide both sides by 3
29 = x
x = 29
Find the labelled angles by plugging in the value of x
- x + 87 = 29 + 87 = 116 degrees
- 4x = 4(29) = 116 degrees
Therefore, the measures of the labelled angles that are vertically opposite to each other are:
x + 87 = 116 degrees
4x = 116 degrees
Learn more here:
(x + 87)° = 116°
We can see that the angle of (x + 87)° is directly across from the angle of 4x°. This shows that they are equal. We can take the two terms and make an equation.
—> (x + 87) = 4x
After solving for the value of x, we get a value of 29.
Now that we know x, let's substitute it into (x + 87).
(x + 87) becomes (29 + 87), which is equal to 116°.
To check,we can substitute 29 into the other angle of 4x as well, since the two angles are equal.
4x becomes 4(29), which is also equal to 116°.
Answers
Answer:
26
Step-by-step explanation:
hope it helped !! :))