Malcom Davis earnings is an illustration of equations and proportions.
The equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]The gross income must be $300000, for Dave to earn the same amount with either plan.His earning is $3333.33 when the plans are the same.Let the profit be P, and the gross income be G.
So, we have:
[tex]\mathbf{P= G - 100000}[/tex]
(a) The equations
For plan A, we have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex] ----1/90 of the company's gross income
For plan B, we have:
[tex]\mathbf{B = \frac{1}{60}P}[/tex] ----1/90 of the company's profit
When both are the same, we have:
[tex]\mathbf{A= B}[/tex]
This gives
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}P}[/tex]
Substitute [tex]\mathbf{P= G - 100000}[/tex]
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Hence, the equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
(b) Solve the equation in (a), and intepret
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Cross multiply
[tex]\mathbf{60G = 90G - 9000 000}[/tex]
Collect like terms
[tex]\mathbf{90G - 60G = 9000 000}[/tex]
[tex]\mathbf{30G = 9000 000}[/tex]
Divide both sides by 30
[tex]\mathbf{G = 3000 00}[/tex]
The gross income must be $300000, for Dave to earn the same amount with either plan.
(c) His earnings based on (c)
We have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex]
Substitute [tex]\mathbf{G = 3000 00}[/tex]
[tex]\mathbf{A = \frac{1}{90} \times 300000}[/tex]
[tex]\mathbf{A = 3333.33}[/tex]
His earning is $3333.33 when the plans are the same
(d) If the gross income in less than (b)
If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B
Read more about equations at:
https://brainly.com/question/20893366
I have this problem on my test. Do I divide by 8 or 2 first to solve for x?
Toby's cup can hold 8 times as many ounces of water as Terry's. Together, the cups hold 22 ounces of water.
9 yd
9 yd
5 yd
3 yd
Perimeter:
Area:
Area:66 Perimeter:36
Step-by-step explanation:
Perimeter: 9+9+5+3+4+6: 36
as 9-5 is 3
and 9-3 is 6
Area: 9*6 +3*4: 66
Which rule describes the pattern shown?
41, 54, 67, 80, 93, 106
Choose 1 answer:
(A) Add 13.
(B) Add 15.
(C) Multiply by 6.
(D) Multiply by 8.
Answer:
add by 13 so it would be letter A
Answer:
A
Step-by-step explanation:
heeeeeeeeeeeeeeeeeelllllllllllllllllppppppppp
Step-by-step explanation:
Answer is 3 because it is alternate with 3 also it is interior too.
Please solve no.a) from here for me
Answer:
x < 1 and x > -2
Step-by-step explanation:
5x - 1 < 4 and 3x + 5 > x + 1
Step 1.) Transfer the -1 over by the 4 by adding it because you use the opposite symple when its transfered.
5x < 5 and 3x + 5 > x + 1
Step 2.) Divide 5 by 5 to get the variable alone
x < 1 and 3x + 5 > x + 1
Step 3.) Subtract x from 3x which gives 2x and subtract 5 from 1 which gives -4
x < 1 and 2x > -4
Srep 5.) Divide -4 by 2 to get the variable alone and you get -2
x < 1 and x > -2
This image may be the result of the
1. Construction for copying line AB
2. Construction of a line parallel to line AB through point P
3. Construction of a line perpendicular to line AB and line PU.
4. Construction of a line perpendicular to the line AB through point P
If mZRQS is 750, then mZTPU is
1. 15
2. 75
3. 105
4.150
due to my knowledge its 75 because it is.
Step-by-step explanation:
first I thought the angles at Q and P are right angles (90 degrees). but the last part tells me they are not.
so, all the "perpendicular" answers are out.
answer 1 and 2 are all correct but I would pick 2, because it had the most detail that's true.
and since these 2 lines are parallel, the must have the same angles with the crossing line.
therefore, when the angle RQS is 75 degrees, then the angle TPU is also 75 degrees.
If 4 hours are required to type 16 pages, how many hours would be required to type 28 pages?
ANSWER
112
EXPLAINATION
28÷16 = 7
7×16 = answers
Someone help me please
Answer:
2,4
Step-by-step explanation:
someone please help me!
Show all work to factor x4 − 5x2 + 4 completely.
Step-by-step explanation:
=>x⁴-5x²+4
=>x⁴-x²-4x²+4
=>x²(x²-1)-4(x²-1)
=>(x²-1)(x²-4)
=>(x+1)(x-1)(x+2)(x-2)
hope this helps you.
Evaluate each expression if x = -2 and y = 3
number 34
show step by step please!!
Write the equation of the line, in point-slope form. Identify the point ( − 2 , − 2 ) as ( x 1 , y 1 ) .
Answer:
x = y + 2 y − 1 = 2x
Step-by-step explanation:
let me know if this doesnt help
138 cups of flour used in 46 dozen brownies. a
Answer:
whats the question?
giving brainly if correct!! - select the unit rate
Answer:
2nd option.
Step-by-step explanation:
Eight chocolate bars have 96 total squares. How many squares are there in each chocolate bar?
Answer: 12.
Step-by-step explanation: 96 divided by 8 is 12.
Answer: 12
Step-by-step explanation:
If there are 96 square and 8 chocolate bars, then we:
96 divided by 8 = 12
What is the arithmetic mean between 35 and 105?
A 60
C. 70
B. 65
D. 75
with formula of solutions,thanks
Answer:
70
Step-by-step explanat
cộng lại chia đôi
What is the simplest fraction whose value is equal to the number $\textcolor{red}{\heartsuit}$ depicted on this number line?
(Give your answer as a fraction, not a mixed number. "Simplest fraction" means the numerator and denominator should have no common divisor greater than 1. For example, 5/6 is a fraction in simplest form, but 4/6 is not in simplest form because a common divisor of 2 can be factored out of the numerator and denominator. The simplest form of 4/6 is 2/3.)
Answer:
Step-by-step explanation:
그if Ella runs 1 mile Monday and runs 3 miles Tuesday and runs 4 miles Thursday and skipped Wednesday how many miles she run in all ➗ it all up
please help I dont understand
what is the value of Y
Answer:
150°Step-by-step explanation:
the sum of the interior angles is 180° (triangle)
your answer in the picture
Directions: Evaluate each rational expression using the indicated values of the variable.
1. [tex] \frac{5x}{2y} [/tex]
a. when x = 8 and y = 10
b. when x = 1/2 and y = 2/3
2. [tex] \frac{ {ab}^{3} }{c} [/tex]
a. when a = 4, b = 3, and c = 2
b. when a = -2, b= -2, and c = 2
3. [tex] \frac{e \: + \: 5}{4f \: - \: 4} [/tex]
a. when e = 11 and f = 7
b. when e = -1 and f = -4
Pls answer it perfectly, so there will be no reported answers, thank u :)
Answer:
[tex]1) \: \: \frac{5x}{2y} \\ a) \: \: x = 8 \: \: and \: \: y = 10 \\ \frac{5x}{2y} \\ \frac{5(8)}{2(10)} \\ \frac{40}{20} \\ 2 \: ans \\ b) \: \: \frac{5x}{2y} \\ \frac{5( \frac{1}{2}) }{2( \frac{2}{3}) } \\ \frac{2.5}{1.3} \\ \frac{25}{13} \\ 1.92 \: \: ans \: \\ \\ 2) \: \: \frac{a {b}^{3} }{c} \\ \\ a) \: \: a = 4 \: .\: b = 3 \: . \: c = 2 \\ \\ \frac{a {b}^{3} }{c} \\ \frac{(4) {(3)}^{3} }{2} \\ \frac{4(27)}{2} \\ \frac{108}{2} \\ 54 \: \: ans \: \\ \\ b) \: \: a = - 2 \: . \: b = - 2 \: . \: c = 2 \\ \\ \frac{a {b}^{3} }{c} \\ \frac{( - 2) {( - 2)}^{3} }{2} \\ \frac{ - 2 { (- 2)}^{3} }{2} \\ \frac{ - 2( - 8)}{2} \\ \frac{16}{2} \\ 8 \: \: ans \: [/tex]
Step-by-step explanation:
question 3 is already answered by me in your question..or you can see attachment.
what is the differences in length between a 1 1/4 inch butten and a 3/8 inch button
Answer:
7/8
Step-by-step explanation:
If m<6 = 7x -36 and m<9 = 5x + 12, what is the value of angle 11 ?
Can i get a step by step for this?
Answer:
x=86
Step-by-step explanation:
The angles of a triangle add up to 180 degrees.
we can use this to get a problem: x+52+42=180
simplify to get:
x+94=180
subtract 94 from each side to get your answer:
x=86
I NEED HELP WITH THE PROBLEM
Answer:
x = 10 m∠3 = 74
Step-by-step explanation:
(10x + 6) + (7x + 4) = 180 degrees
17x + 10 = 180
17x = 170
x = 10
check answer
(10(10) + 6) + (7(10) + 4) = 180
106 + 74 = 180
180 = 180
true!
angle 5 is vertical angles with 3, so they are congruent
use same equation as 5
7(10) + 4
70 + 4
74 :)
10 points
Jason is pulling a box across the room. He is pulling with a force of 15 newtons and his arm is making a 66 angle with the horizontal, what is the vertical component of the force he
is pulling with
Type your answer...
9514 1404 393
Answer:
13.7 N
Step-by-step explanation:
The vertical component of the force is ...
(15 N)sin(66°) ≈ 13.7 N
Determine whether the graphs of the equations are parallel, pependicular, or neither.
1
y = 1/3X + 2
y = 3x - 5
A. parallel
B. perpendicular
C. neither
Answer: perpendicular
Step-by-step explanation: You can do this (of course, you have to know the equations of the pairs of lines under consideration);
For each equation, put in form y = mx + b and compare their slopes (values of m).
If the m's are equal, the two lines are parallel;
if the product of the two m's equals -1, the two lines are perpendicular.
what is the slope of the line that passes through the points (-3,1) and (7,14)
950.3 divided by 37 were doing partial product divison
Multiply.5/9 3/10 Express your answer in the simplest form.
1 23/27 15/90 1/4 1/6
Step-by-step explanation:
5/9×3/10= 15/90 simplification is 1/6
the correct is 1/6
Answer:
The 4th answer is correct
Step-by-step explanation:
[tex]\frac{5}{9} *\frac{3}{10} \\\\[/tex]
[tex]\frac{5*3}{9*10}[/tex]
[tex]\frac{15}{90}[/tex]
Now you can make the answer as the simplest form divide both sides by 15
[tex]\frac{15}{90} =\frac{1}{6}[/tex]
ANSWER IS,
[tex]\frac{1}{6}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
It takes 1 1/3 cups of cherries to make a cherry pie. Larry wants to make 5 cherry pies. How many cups of cherries will Larry need?
Answer:
Larry will need 6 and 2/3 cups of cherries.
Step-by-step explanation:
since one pie takes 1 1/3 cups, you would want to multiply that by 5 to see how many cups it will take for 5 pies. When you do this, you get a mixed number of 20/3 which simplifies to 6 2/3. I hope this helps.