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
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
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.
what is the slope of the line that passes through the points (-3,1) and (7,14)
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 :-)
950.3 divided by 37 were doing partial product divison
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.
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:
giving brainly if correct!! - select the unit rate
Answer:
2nd option.
Step-by-step explanation:
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
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
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:
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
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
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.
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.
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:
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
If m<6 = 7x -36 and m<9 = 5x + 12, what is the value of angle 11 ?
Someone help me please
Answer:
2,4
Step-by-step explanation:
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.
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
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
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
heeeeeeeeeeeeeeeeeelllllllllllllllllppppppppp
Step-by-step explanation:
Answer is 3 because it is alternate with 3 also it is interior too.
please help I dont understand
Evaluate each expression if x = -2 and y = 3
number 34
show step by step please!!
138 cups of flour used in 46 dozen brownies. a
Answer:
whats the question?
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.
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
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 :)