He earns $25 per hour for training and $15 per hour for data entry support. Steven can work no more
than 40 hours a week. He wants to use linear programming techniques to optimize his income.
Part A
Construct a model to represent the amount of time Steven can spend on data entry and training. Be sure
to define your variables. Sketch a graph of your model.
Part B
While Steven would like to spend most of his time training, the number of hours spent training cannot
exceed twice the number of hours doing data entry support. Steven must spend at least 10 hours each
week on data support. Construct a model to show the constraints. Sketch a graph of your model.
Part C
Find the vertices of the feasible region. Show your work or explain how you found the coordinates.
Part D
What is the maximum possible amount of money Steven can earn in a week given the constraints? Round
to the nearest dollar. Validate your solution to assess the reasonableness of you
Part E
The number of hours Steven worked one week resulted in a gross income of $800. From this, a portion was
withheld for benefits, retirement, and taxes. The total amount withheld from Steven’s check was $264.
The amount withheld for taxes was twice the amount withheld for retirement, and the amount withheld
for benefits was $24 less than the sum of retirement and taxes. Construct a system of equations that can
be used to find the amount of benefits, retirement, and taxes. Be sure to define your variables.
Part F
Solve the system from Part E. Validate your solution to assess the reasonableness of your model.
Ans
Step-by-step explanation:
ill mark brainlist plss help
Answer:
C
Step-by-step explanation:
Answer: C: 204 ft
Step-by-step explanation: plz mark me brainliest. 12x17=204
Determine if the ordered pair (-4,3) is a solution of
4x - y = -13
Show ALL your work here
Answer:
This is NOT a solution
Step-by-step explanation:
If we plug in the coordinates (-4,3) into 4x-y our new equation is 4×-4-3 and if we solve this equation.... 4×-4=-16 and -16-3=-19 which does NOT equal to -13
7
Are the two triangles similar? If so, why are they similar?
(a)
A The triangles are similar by the definition of similarity (all congruent angles, all proportional sides)
B The triangles are similar by AA- Theorem
The triangles are similar by SSS- Theorem
The triangles are not similar
(b)
If they are similar, what is the similarity statement?
A ASTR - ALKR
Answer:
option B is correct answer
because it is similar by AA similarity -.theorum
PLEASE ANSWER QUICKLY IT WOULD HELP A LOT <33
You bought a notebook for $2 and 6 packs of crayons. If
you spent a total of $26, how much was each pack of
crayons?
Answer:
$4
Step-by-step explanation:
26-2=24
24 divided by 6 =4
Answer:
$24
Step-by-step explanation:
26-2=24
1 notebook is $2 so if you subtract it from the total you should get your answer which is $24!
Hope this helped you buddy.
Solve for u
10 − u = u − 10
Step-by-step explanation:
I hope this helps. Ans: u=10
Triangle FGH is dilated by a scale factor of 5 to form triangle F'G'H'. Side F'G'
measures 15. What is the measure of side FG?
Answer:
The measure of side FG is 3.
Step-by-step explanation:
Dilation is a process in which the dimensions of a given shape or figure is either increased or decreased by a scale factor to produce its image.
From the given question,
scale factor = 5
measure of side F'G' = 15
Thus,
scale factor = [tex]\frac{measure of side F'G'}{measure of side FG}[/tex]
side F'G' = scale factor x side FG
⇒ 15 = 5 x side FG
So that,
side FG = [tex]\frac{15}{5}[/tex]
= 3
The measure of side FG is 3.
what are square roots?
Answer:
Step-by-step explanation:
Square roots are the values which when multiplied by themselves are the value in the radical.
2X2=4
So the square root of 4 is 2
3X3=9
So the square root of 9 is 3
...
10. What is 3[ f(x + 4)) if f(x) = 23 + 4x2 + 9?
Answer:
Step-by-step explana-
-20
-40
-65
What does x=
Help quickly, please!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
see in the picture, we can see that SPRQ is a parallelogram
=> 70 = 14x
⇔ x = 70/14
⇔ x = 5
Step-by-step explanation:
Find an
expression which represents the sum of (8x - 7) and (10x + 3) in
simplest terms.
80x + 24x × 70x + 21 = 3.4 when approximated
What you think is fair punishment for a traitor of a country
A fair punishment I believe is the person going to prison for their life or a death sentence.
A fruit bowl contains apples, oranges, and bananas. The radius of one of the oranges is 1.45 inches. What is the approximate volume of the orange? Use 3.14 for .
Answer:
12.76 in³
Step-by-step explanation:
The volume of a sphere formula is V = (4/3)πr³.
Here we use 3.14 for π and 1.45 in for r. We get:
V = (4/3)(3.14)(1.45 in)³ ≈ 12.76 in³
4. Mia ran 10 laps in 8 minutes. Shawna ran 4 laps in 3 minutes. Which person ran at a faster rate? * O Mia ran at a faster rate. Sawna ran at a faster rate. O They both ran at the same rate.
Answer:
Shawna ran at a faster rate.
Step-by-step explanation:
Because of Shawna ran for 10 minutes just like Mia, it would take her 7.5 mins while Mia took 8minutes to run 10 laps
The word and in probability implies that we use the ________ rule.
Answer:
Addition Rule
The word or in probability implies that we use the Addition Rule.
The word "and" in probability implies that we use the "Multiplication Rule".
The Multiplication Rule is used when calculating the probability of two or more independent events occurring simultaneously.
It states that the probability of two or more independent events occurring together is equal to the product of their individual probabilities.
In other words, if event A and event B are independent, then the probability of both events A and B happening is given by:
P(A and B) = P(A) x P(B)
Learn more about Probability here:
https://brainly.com/question/31828911
#SPJ6
I’ll give you points and mark you BRAINLY has to be right!! Thank you for ur help
Use the long division method to find the result when 6x3 – 22x2 + 19x - 8 is
divided by 3x-8. If there is a remainder, express the result in the form
q(x) + r(x)
——
b(x)
Answer:
5964672
Step-by-step explanation:
if this isn't the answer then I don't know what it is I'm not 100% sure
Help Me Please...............(2)
Answer:
-0.499
Step-by-step explanation:
Isnt that it? xD
or 1.41
Isaac buys 17 anti-pollution masks for £5.25 each.
He pays with five £20 notes.
a) How much change should Isaac get?
Write your answer in £.
The normal price of an e-scooter is £370
In a sale, there is 1 off the normal price of the e-scooter.
b) Work out the price of the e-scooter in the sale.
Write your answer in £.
Answer:
A) Isaac should get £ 10.75 in change.
B) The price of the e-scooter in the sale is £ 366.3.
Step-by-step explanation:
A) Given that Isaac buys 17 anti-pollution masks for £ 5.25 each, and he pays with five £ 20 notes, to determine how much change Isaac should get, the following calculation must be performed:
(20 x 5) - (17 x 5.25) = X
100 - 89.25 = X
10.75 = X
So Isaac should get £ 10.75 in change.
B) Given that the normal price of an e-scooter is £ 370 and, in a sale, there is 1 off the normal price of the e-scooter, to determine the price of the e-scooter in the sale the following calculation must be performed:
370 - (370 x 0.01) = X
370 - 3.7 = X
366.3 = X
Thus, the price of the e-scooter in the sale is £ 366.3.
If angle 2 measures 75 degrees, how many degrees is angle 4?
A mirror is the shape of an ellipse defined by y^2/7.29 + x^2/6.25 = 1 with units in feet. Which statement identifies the
orientation of the mirror and its greatest dimension?
Answer:
a (The mirror has a vertical orientation and is 5.4 ft tall.)
Step-by-step explanation:
a on edg 2021 ^u^
Answer: A. The mirror has a vertical orientation and is 5.4 ft tall.
Step-by-step explanation:
Since the y^2 value is being added first, and the value in its denominator is greater, we know that the ellipse has a vertical major axis.
Therefore, its orientation is vertical.
The square root of is 7.29, so 2.7 is the distance from the center to one of the ellipse's vertices. (You can research further into the equation for ellipses with vertical major axes to learn why that is.)
Multiply 2.7 * 2 = 5.4 to determine the full height of the mirror.
Yay! We figured out that "the mirror has a vertical orientation and is 5.4 ft tall".
Can someone help me please I put the picture
Answer:
x=8ft
Step-by-step explanation:
the triangle was multiplied by 2
3x3=6
4x4=8
NEED HELP!!!!THIS IS FOR A TESTTTTTTTTTTTTTTTTT
Answer:
The first is 26 and the second is 6
write two numbers that multiply to the value on top and add to the value on bottom
Answer:
4 and 10
Step-by-step explanation:
4 x 10 = 40
4 + 10 = 14
PLSS HELP IS DUE TODAY T-T!!
Answer:
9.35%
Step-by-step explanation:
ill mark brainlist plss help
Answer:
492.8
Step-by-step explanation:
just add it
Answer:
10,042.95 squared
Step-by-step explanation:
When finding the area of something, you multiply. And in this case, you are multiplying the base (471.5 ft) by the height (21.3 ft).
Rohail sell 300g of cashew nuts . Gauhar sell 150g more than Rohail. What is the total weight sold?
Answer:
the total weight sold is 750g
Step-by-step explanation:
300+150=450
450+300 = 750
please mark me as brainliest its beside the rate sign and it looks like a king icon
The Polygons are similar. Solve for x
10
9
6
12
Step-by-step explanation:
[tex] \frac{ - 2 + 7x}{32} = \frac{25}{20} [/tex]
[tex] \frac{ - 2 + 7x}{32} = \frac{5}{4} [/tex]
4(-2+7x) = 5(32)
-8 + 28x = 160
28x = 160+8
28x = 168
x = 168/28
= 42/7
= 6
giving brainliest !! *easy*
ih4egjhbsDLJFB sFHBseiuhFB skefByefusj:FKBs:iuyeGFBsjk :efge8FUIsj
Answer:
v = 49 pied square cm squared x 4 cm
Step-by-step explanation: