Marcella wants a job as a sales representative. She receives two job offers that sell office machines to businesses.
Office Essentials offers Marcella a set monthly salary of $2,500 plus a commission (additional $) of $120 for every office machine she sells
Everything Office offers her a set monthly salary of $2000 plus a commission (additional $) of $150 for every office machine she sells
If T is the total amount (combined salary and commission) of money Marcella makes each month M is the total number of office machines she sells
1. Write an equation to represent the Total money she would make in one month at Office Essentials
2. Write an equation to represent the Total money she would make in one month at Everything Office
Answer:
$4,000
Step-by-step explanation:
Part A
Marcella wants a job as a sales representative. She receives two job offers from companies that sell office machines to businesses.
Office Essentials offers Marcella a salary of $2,500 per month, plus a commission of $125 for every office machine she sells.
Everything Office offers Marcella a salary of $2,000 per month, plus a commission of $150 for every office machine she sells.
Let M represent the total monthly earnings, in dollars, and let n represent the number of office machines sold in a month. For each company, write an equation that represents the relationship between M and n.
Enter your equations in the space provided.
Part B
Marcella wants to earn a total of at least $4,000 per month. For each company, find the least number of office machines she would need to sell each month in order to meet this goal. Show your work.
Enter your answers and your work in the space provided.
Part C
Compare Marcella’s possible earnings at Office Essentials to her possible earnings at Everything Office. How many machines would Marcella have to sell for the earnings at both companies to be the same? Find the interval of machines sold for which the total earnings at Everything Office are greater than the total earnings at Office Essentials. Show your work.
which ratios are equivalent to 7/3? check all that apply 27:21, 28 to 12, 56/24, 63 to 27, 9/12
Answer:
I know the correct ones!
Step-by-step explanation:
28 to 12, 63 to 27, 56 to 24
Answer:
its B C and D
Step-by-step explanation:
Please help. I need help with this
What is the equation of the line that passes through the point (-5, -2) and has a
slope of -6/5?
Answer:
y= -6/5x - 8
Step-by-step explanation:
I just used desmos easy to use and you understand how graphs work more.
You have a bag of 12 marbles. Four are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawing a red marble and, without replacing it, then drawing a green marble?
Answer:
[tex]Probability = \frac{1}{11}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 4[/tex]
[tex]Green = 6[/tex]
[tex]Red = 2[/tex]
[tex]Total = 12[/tex]
Required
Determine the probability of drawing red and green without replacement
This is calculated as follows:
[tex]Probability = P(Red\ and\ Green)[/tex]
[tex]Probability = P(Red)\ and\ P(Green)[/tex]
[tex]Probability = \frac{n(Red)}{Total} * \frac{n(Green)}{Total - 1}[/tex]
We used Total - 1 because it's a probability without replacement:
[tex]Probability = \frac{2}{12} * \frac{6}{12- 1}[/tex]
[tex]Probability = \frac{2}{12} * \frac{6}{11}[/tex]
[tex]Probability = \frac{1}{6} * \frac{6}{11}[/tex]
[tex]Probability = \frac{1}{11}[/tex]
Hence, the required probability is 1/11
Select the correct answer. Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12? A. (1, 2) B. (3, 1) C. (3, 2) D. (-3, -2) E. (3, -2)
Answer:
The coordinates that satisfy the equations will be: (3, 2)
Hence, option C is correct.
Step-by-step explanation:
Given the equations
[tex]x\:-2y\:=-1;\:2x\:+\:3y=12[/tex]
solving the equations to find the solution values (coordinates)
[tex]\begin{bmatrix}x-2y=-1\\ 2x+3y=12\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x-2y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2x-4y=-2[/tex]
[tex]\begin{bmatrix}2x-4y=-2\\ 2x+3y=12\end{bmatrix}[/tex]
[tex]2x+3y=12[/tex]
[tex]-[/tex]
[tex]\underline{2x-4y=-2}[/tex]
[tex]7y=14[/tex]
so
[tex]\begin{bmatrix}2x-4y=-2\\ 7y=14\end{bmatrix}[/tex]
solve for y
[tex]7y=14[/tex]
[tex]y=2[/tex]
[tex]\mathrm{For\:}2x-4y=-2\mathrm{\:plug\:in\:}y=2[/tex]
[tex]2x-4\cdot \:2=-2[/tex]
[tex]2x=6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=2[/tex]
Therefore, the coordinates that satisfy the equations will be: (3, 2)
Hence, option C is correct.
Answer:
3,2
Step-by-step explanation:
which expression is equivalent to x2-17x-60
Answer:
(x - 20)(x + 3)
Step-by-step explanation:
Multiply the coefficient of the first term. 1 x -60
which equals -60
find the two factors of -60 which is -17
-60+ 1 = -59
-30+ 2= -28
-20+ 3= -17
Then, the final answer you will get is (x - 20)(x + 3)
Write an equation of the line passing through point P that is perpendicular to the given line.
P(6, 10), y = -3x + 13
Answer:
y = 1/3x + 8
Step-by-step explanation:
1. Find slope of y = -3x+13
(m = -3)
2. Compute slope for perpendicular line
(m = 1/3)
basically, to find the perpendicular slope, you swap the numerator and denominator of your slope and swap it from negative to positive. (If you started with a positive slope it would turn negative)
3. Find the line with slope m=1/3 that passes through (6,0)
(y = 1/3x + 8)
Help please
if f(x)=3x-1 and g(x)=2x+1 find (f-g)(x)
Answer:
x-2
Step-by-step explanation:
f(x) =3x-1
g(x) =2x+1
(f-g)(x)= 3x-1-(2x+1)=3x-1-2x-1=x-2
Convert 50°F to Celsius.
_____ °C
Answer:
10C
Step-by-step explanation:
look it up
Please answer the question below
Answer:
Yesssirrrr
Step-by-step explanation:
how does it feel??
Answer:
yes sirr
Step-by-step explanation:
hey There! i need ur help Please!!!!
Answer:
35 5x7=35
Step-by-step explanation:)
35 [tex]hope you love it[/tex]
I also need to classify triangle prs by both sides and angles
Answer:
w
Step-by-step explanation:
f
find the value of questions
Answer:
The simplified expression is:
[tex]\frac{3^9y}{2\times \:81}=\frac{243y}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{3^9\times \:y}{2\times 81}[/tex]
solving the expression
[tex]\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}[/tex]
[tex]=\frac{3^9y}{3^4\times \:2}[/tex] ∵ [tex]162=3^4\times \:2[/tex]
[tex]=\frac{3^5y}{2}[/tex] ∵ [tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]=\frac{243y}{2}[/tex] ∵ [tex]3^5=243[/tex]
Therefore, the simplified expression is:
[tex]\frac{3^9y}{2\times \:81}=\frac{243y}{2}[/tex]
Someone help me I have have like 5 questions if you answer them all you’ll get brainlest;) 1/5
Answer:
We conclude that the list which
shows values in order from LEASE to GREATEST is:
[tex]\frac{49}{16}[/tex], [tex]\frac{80}{19}[/tex], [tex]\sqrt{25}[/tex]Step-by-step explanation:
Given the values
[tex]\sqrt{30}=5.477[/tex]
[tex]\frac{49}{16}=3.0625[/tex]
[tex]\frac{80}{19}=4.210[/tex]
[tex]\sqrt{25}=5[/tex]
Writing all the values from LEASE to GREATEST
3.0625, 4.210, 5, 5.477
OR
[tex]\frac{49}{16}[/tex], [tex]\frac{80}{19}[/tex], [tex]\sqrt{25}[/tex], [tex]\sqrt{30}[/tex],
Therefore, from the given answer options, we conclude that the list which
shows values in order from LEASE to GREATEST is:
[tex]\frac{49}{16}[/tex], [tex]\frac{80}{19}[/tex], [tex]\sqrt{25}[/tex]last question i will give brainliest
Which two segments have the same length?
Answer:
VW and YZ
Step-by-step explanation:
Count the lines in between the black dots.
Simplify the following expression: b + b + b
Answer:
3b
Step-by-step explanation:
repeated addition is multiplication
Answer:
3b
Step-by-step explanation:
heres why:
there are 3 b's right
so heres wut i did
b+b+b=3b
i add it
A group of 44 students is planning a train trip to Washington, D.C. They held many fundraisers and raised $10,880. Nathan said, “We should have enough money to pay for the train tickets. There are about 50 students going on the trip and one round trip ticket costs about $200. That makes the total cost of the tickets less than $10,000.” Does Nathan’s reasoning make sense?
Answer:
Yes
Step-by-step explanation:
Yes, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.
Answer:
Yessirr
Step-by-step explanation:
Yessir, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.
I NEED HELP WITH (33) B,C,D
Answer:
what are the answer choices?
Simplify
(-2a^2 b^4)^3. Select the correct answer.
Answer:
B.. ..... .., .........
On expanding the given expression (-2a²b⁴)³ , we get -
- 8a⁶b¹²
What is expression in mathematics?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given is the following expression -
(-2a²b⁴)³
On expanding the expression, we get -
(-2a²b⁴)³
- 8a⁶b¹²
The correct alternative is option [C] → - 8a⁶b¹²
Therefore, on expanding the given expression (-2a²b⁴)³ , we get -
- 8a⁶b¹²
To solve more questions on expressions, visit the link below-
brainly.com/question/11915983
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Find the vertex for the following equation.
y = 2x^2 - 4x + 5
Answer:
(1, 3)Step-by-step explanation:
[tex]y = 2x^2 - 4x + 5\\\\y = 2(x^2 - 2x) + 5\\\\y=2(\underline{x^2-2\cdot x\cdot1+1^2}-1^2)+5\\\\y=2\big[(x-1)^2-1\big]+5\\\\y=2(x-1)^2-2+5\\\\y=2(x-1)^2+3\quad\implies\quad vertex:\ (1\,,\ 3)[/tex]
SOLVE...show your work:
8/12=10/3x
Answer:
well if the x is in the fraction the answer is
x=5
if it is not and it's after the fraction
x=1/5
Step-by-step explanation:
for x=5 for x=1/5
Apply;fraction:cross:multiply: 8/12=10/3 x then switch sides
8*3x =12*10 10/3 x = 8/12 cancel the common factor:4
simplify: 10/3 x = 2/3
24x=120 multiply both sides by 3
divide both sides by 24 3*10/3 x = 2*3/3
24x/24=120/24 simplify: 10x =2
simplified =5 divide both sides by 10: 10x/10=10/2
x=5 simplified = 1/5
x=1/5
Please let me know if this helps. and give me a thanks or something if it did <33
Billy bought Katie a present wrapped in this box. How much wrapping paper would He need to wrap the present in this box, PLEASE HELP! WILL MARK BRAINLIEST
Answer:
284mm²
Step-by-step explanation:
S.A.= 2(lw) + 2(lh)+ 2(wh)
2[12.6(8)] + 2[12.6(2)] + 2[8(2)]
201.6 + 50.4 + 32
S.A.= 284mm²
Answer:
B
Step-by-step explanation:
You need a top and bottom (same size)
You need a front and back (same size for them as well)
You need a left and right covering.
Top and bottom = 2 * 12.6 * 8 = 201.6
Left Right = 2 * 8 * 2 = 32.0
Front/Back= 2 * 2 * 12.6 = 50.4
Total 284
Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pounds each, because the bigger bags were on sale. Did he end up with more grapes or less grapes by buying the bigger bags? He ended up with about One-half pound less grapes. He ended up with about One-half pound more grapes. He ended up with about 1 pound less grapes. He ended up with about 1 pound more grapes.
Answer: He ended up with about 1 pound less grapes
Step-by-step explanation:
2 bags of grapes weighing 5 and two-thirds pounds each will give a total weight of:
= 2 × 5 2/3
= 2 × 17/3
= 34/3
= 11 1/3 pounds
3 bags weighing 4 and one-fifth pounds each, will give a weight of:
= 3 × 4 1/5
= 3 × 21/5
= 63/5
= 12 3/5
He ended up buying lesser grapes. This was about 12 3/5 - 11 1/3 = 1 4/15 less. This means that he ended up with about 1 pound less grapes
Answer:
It is C ( look down for proof)
Step-by-step explanation:
What single decimal multiplier would you use to increase by 4% followed by a 4% decrease?
Answer:
if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712
Step-by-step explanation:
The decimal multiplier would you use to increase by 4% followed by a 4% decrease is 1.0816.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
We have to find decimal multiplier would you use to increase by 4% followed by a 4% decrease.
So, (1+ 4%)(1+ 4%)
= (1 + 4/100)(1 + 4/100)
= (1 + 0.04)(1+0.04)
= 1.04 x 1.04
= 1.0816
Learn more about percentage here:
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In the regular octagon shown below, which of the following is the minimum angle of rotation about center point C will carry the figure onto itself?
1) 15°
2) 30°
3) 45°
4) 90°
Answer: 4)90˚
Step-by-step explanation:
(90˚ is more towards the middle
A regular octagon is a shape with 8 congruent sides.
The minimum angle of rotation is 45 degrees
The number of sides of a regular octagon is:
[tex]\mathbf{n = 8}[/tex]
The total angle at the center of the regular octagon is:
[tex]\mathbf{\theta = 360}[/tex]
So, the minimum angle of rotation is calculated as follows:
[tex]\mathbf{\alpha = \frac{\theta}{n}}[/tex]
This gives
[tex]\mathbf{\alpha = \frac{360}{8}}[/tex]
[tex]\mathbf{\alpha = 45}[/tex]
Hence, the minimum angle of rotation is 45 degrees
Read more about rotations at:
https://brainly.com/question/1571997
Could anyone help me solve this Algebra equation?
Answer:
[tex]9^{-36}[/tex]
Step-by-step explanation:
13. Greg is going into business selling homemade blankets.
The supplies for each blanket cost him $3.00, and he wants
to earn at least $17.00 for each blanket to compensate for his time. The domain for this situation is:
all rational numbers
all positive real numbers
all positive integers
Answer:
all positive inegers
Step-by-step explanation:
dan is cutting 4.75-foot lengths of twine from a 240-foot spool of twine. he needs to cut 42 lengths and says that 40.5 feet of twine will remain. show that this is reasonable.
Answer:
to find the ammount of twine left we subtract (twine used) from (total twine) or (total twine)-(twine used)=ammount left
so he must cut 42 legnths of rope each legnth is 4.75 and this is taken from a
total legnth of 240 so
240-42(4.75)=amount left
42 trimes 4.75=199.5
240-199.5=40.5 left
Step-by-step explanation: