Answer: $30.92
Step-by-step explanation:
First step is to turn 5% into a decimal so that you can use it easier in a math sentence -- 0.05
Next, find out what 5% of $32.55 is by multiplying
0.05 x 32.55
= 1.6275
Round to the nearest cent because we don't use anything smaller than a cent when we are talking about money.
= $1.63
This is the amount of tax included in the price of $32.55
If we want to know what it the book cost before tax we simply take the tax off.
$32.55 - $1.63
= $30.92
Hope that helps :)
What is the minimum value of the objective function, C, with the given constraints?
C=2x+3y
A) 2x+3y≤24
B) 3x+y≤15
C) x≥2
D) y≥3
Given:
The objective function, [tex]C=2x+3y[/tex],
Constraints,
[tex]2x+3y\leq 24[/tex]
[tex]3x+y\leq 15[/tex]
[tex]x\geq 2[/tex]
[tex]y\geq 3[/tex]
To find:
The minimum value of the given objective function.
Solution:
We have,
Objective function, [tex]C=2x+3y[/tex] ....(i)
The related equations of given constraints are
[tex]2x+3y=24[/tex] ...(ii)
[tex]3x+y=15[/tex] ...(iii)
[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.
[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.
Table of value for (i),
x : 0 12
y : 8 0
Table of value for (ii),
x : 0 5
y : 15 0
Plot these points on a coordinate plane and draw these 4 related lines.
The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.
For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.
For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].
From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).
Points [tex]C=2x+3y[/tex]
(2,3) [tex]C=2(2)+3(3)=4+9=13[/tex] (Minimum)
(4,3) [tex]C=2(4)+3(3)=8+9=17[/tex]
(3,6) [tex]C=2(3)+3(6)=6+18=24[/tex]
(2,6.667) [tex]C=2(2)+3(6.667)=4+20=24[/tex]
Therefore, the objective function is minimum at point (2,3).
On Monday, Aisha spent 5/6 of an hour practicing the violin. On Tuesday, she practiced for 2/3 of an hour. Which equation shows correctly how much longer she practiced on Monday than on Tuesday?. Single choice.
Answer:
1/6
Step-by-step explanation:
5/6 - 4/6 = 1/6
URGENT if triangle FGH is congruent to triangle KJH, find FH
Answer:
FH =KH if triangle FJH and KJH is congruent
Step-by-step explanation:
If two triangles FJH and KJH as shown n figure is congruent if,
FJ = KJ,
FH =KH and
JH =JH common
Triangle is congruent by SSS theorem
Therefore FH =KH
Answer:
FH=39
Step-by-step explanation:
FGH~KJH
GH=x+8
FH=4x-25
JH=32
KH=52
(these are the measurements I have)
x+8 / 32 = 4x-25 / 52
(cross multiply)
52(x+8) = 32(4x-25)
52x+416 = 128x-800
(subtract the 52x from the 128x)
416 = 76x-800
(add the 800 to the 416)
1216 = 76x
(divide the 76 over the 1216)
x = 16
(now plug x into FH)
FH = 4x-25
FH = 4(16)-25
FH = 39
(hope this helped)
How do I divide 3 1/3 by 2/9
Answer:
15
Step-by-step explanation:
thats the answer im not sure if u want me to explain it. But if you do need it to be explained look it up. Give brainliest please.
Answer:
15
Step-by-step explanation:
Turn 3 1/3 to an Improper Fraction
to do that you have to multiply the Whole Number (3) by the Denominator(3)
3×3=9
Then add the numerator (1)
9+1=10
3 1/3 will turn into 10/3
then since you're divided you're going to have to KCF(Keep, Change, Flip)
2/9 will turn into 9/2
When you Flip, Divison will turn into Multiplcation
Look at the picture on how to solve it....
I GIVEEE BRAINLI8LSTT C
Answer:
3,-2.
Step-by-step explanation:
hope this helps. :-)
qwesdddddddfffffffggggggggggggggggggggggggggggggggggggggg
Answer:
Step-by-step explanation:
kjiuhytresdzxiu8y765re4rsdxfbhgytfyrdeswaszxdfcg
The admission fee to an amusement park is $21. It costs an additional p dollars to rent a locker to hold your
belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $130. How
much does it cost for one person to rent a locker?
A. $7
B. $2
C. $5
D. $26
Answer:
26
Step-by-step explanation:
Geometry Special Quadrilaterals show work please
Answer:
a = 16
w = 125
x = 120
y = 55
Step-by-step explanation:
FINDING 'a'
31 = a + 46 / 2
62 = a + 46
16 = a
FINDING 'w'
* This section looks Non-Isosceles trapezoid so I will be following the rule according it
w + 55 = 180
w = 125
FINDING 'y'
y = 55
- Because of corresponding angles
FINDING 'x'
* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.
x + 60 = 180
x = 120
Hope this helped ^^
(Please inform me of any mistakes or misunderstandings!)
josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?
get it right i will give you 100 points
Hey there! I'm happy to help!
Here's José's equation.
J=2a+15
And here is Nancy's.
N=3a+5
We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!
2a+15=3a+5
Subtract 15 from both sides.
2a=3a-10
Subtract 3a from both sides.
-a=-10
Divide both sides by -1.
a=10
Therefore, José and Nancy charge the same amount for 10 animals.
Have a wonderful day! :D
Simplify the following expression.
13x+11y-3x+3y+9
Answer:
10x+14y+9Step-by-step explanation:
13x+11y-3x+3y+9
10x+11y+3y+9
10x+14y+913x + 11y - 3x + 3y + 9
This problem consists of combining alike parts of the equation. This means 13x and - 3x go together, 11y and 3y go together, and 9 has no other alike parts.
This shows that the answer (when combining like terms) is:
10x + 14y + 9
find the mean of the following frequency distribution: score:1,2,3,4,5,6,7. frequently :. 5,9,12,17,14,10,6
Answer:
Mean = 4.1
Step-by-step explanation:
Let the scores be denoted by x
Given the following data;
Scores (x) = 1, 2, 3, 4, 5, 6, 7
Frequency, F = 5, 9, 12, 17, 14, 10, 6
Total number, n = sum of frequency
[tex] Total \; number, n = 5 + 9 + 12 + 17 + 14 + 10 + 6 [/tex]
Total number, n = 73
[tex] F(x) = (1*5) + (2*9) + (3*12) + (4*17) + (5*14) + (6*10) + (7*6) [/tex]
[tex] F(x) = 5 + 18 + 36 + 68 + 70 + 60 + 42 [/tex]
F(x) = 299
[tex] Mean = \frac {F(x)}{n} [/tex]
[tex] Mean = \frac {299}{73} [/tex]
Mean = 4.1
Therefore, the mean of this frequency distribution is 4.1.
Someone please help me with this!!
Answer:
Its A
Step-by-step explanation:
PLEASE ANSWER ASASSP!!!!!!!!!!!!!!!!!!!!
Sovle the equation
-10 (g - 6) = 65
What is g?
Answer:
g=-1/2 can u you also mark me brainliest?
Step-by-step explanation:
A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 10 insects will die
Answer:
The probability that exactly 10 insects will die
P( X = 10 ) = 0.06385
Step-by-step explanation:
Step(i):-
Given a certain insecticide kills 60% of all insects in laboratory experiments
Given proportion p = 0.60
q = 1 - 0.60 = 0.40
Given sample size 'n' = 12
Step(ii):-
Let "X' be the random variable of binomial distribution
[tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]
The probability that exactly 10 insects will die
[tex]P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}[/tex]
[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66[/tex]
[tex]P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385[/tex]
Final answer:-
The probability that exactly 10 insects will die
P( X = 10 ) = 0.06385
Stephen has a dog that weighs 5 times as much as lan's dog.
The total weight of both dogs is 72 pounds. How much does
Stephen's dog weigh?
Draw a diagram to find the weight of Stephen's dog.
Answer:
60 pounds
Step-by-step explanation:
5(5 times)*12(weight of lans dog)=60+12=72
Answer:
57.6
Step-by-step explanation:
72/5 = 14.4
72-14.4=57.6
I checked the answer by:
57.6+14.4=72
Please help soon because I really need to finish my last homework question quickly
Answer:
what is the question? May you please show us
Step-by-step explanation:
Behind you there is a sneeze. You don't know it at the time, but this begins a chain reaction of flu that ripples through the school
It starts with only 20 students but the number infected grows every day at a rate of 10% How many people are infected at day 24.
Answer:
how bad do u need this answer 1 through 10
Your friend says that enough information is giving to prove that x=12. Is your friend correct?
Answer:
C. Yes, you can prove that x = 12
Step-by-step explanation:
My friend is correct because by the HL Congruence Theorem, ∆MNP is congruent to ∆MKL. The hypotenuse and leg of one right ∆ is congruent to the hypotenuse and corresponding leg of the other right ∆. So, enough information was given to prove that x = 12.
Solve the following equation algebraically:
x2 = 12
a. 3.46
b. -6,6
c.-3.86, 3.86
d. -3.46, 3.46
Answer:
D. -3.86,3.86
Step-by-step explanation:
I calculated logically
One-third of Olivia’s age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?
Answer:
the answer is 9
Step-by-step explanation:
Draw a quadrilateral that is similar (but not congruent) to the one given below. Measure and label all sides and angles of quadrilaterals and ′′′′. Write a similarity statement.
Answer:
draw the same shape but multiply all the sizes to be bigger or smaller
PLEASE I NEED HELP
12. Angie makes $13 per hour working at a fast food restaurant. She worked 65 hours for this pay period. What was her gross pay?
O $650
O $422.50
O $780
O $845
Answer:
D. $845.00
Step-by-step explanation:
$13 per hour x 65 hrs total = $845 before taxes and deduction.
Answer:
The answer is $845
Step-by-step explanation:
List the sides in order from shortest to longest. The diagram is not to scale. Triangle upper J upper K upper L is shown. Angle upper J is labeled 45 degrees. Angle upper K is labeled 57 degrees. Angle upper L is labeled 78 degrees. A. Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar, line segment JK B. line segment JK,Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar C. line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar D. Modifying above Upper L Upper K with bar, line segment JK, Modifying above upper L upper J with bar
Answer:
your answer would be C
Step-by-step explanation:
line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar
Use the two bar graphs to answer the following experimental compound events. What is the
experimental probability of rolling a 2 and spinning 2?
- 6/625
- 4/250
- 24/2500
- 6/50
Answer:
24 / 2500
Step-by-step explanation:
Experimental probability = (number of successes / total number of trials)
For rolling :
Total number of trials = ( 10 + 4 + 8 + 11 + 8 + 9) = 50
Number of times 2 is rolled = 4
P(rolling a 2) = 4 /50
For spinning :
Total number of trials = (8 + 6 + 9 + 11 + 9 + 7) = 50
Number of times 2 is spunned = 6
P(rolling a 2) = 6 /50
Hence,
4 / 50 * 6/50 = 24 / 2500
Helppp (20 points )pleaeeee
Answer:
LxWxH= 920
Step-by-step explanation:
hope this helps!
Expanded form of 6(y+x)
Answer:
6y + 6x
Step-by-step explanation:
the expanded form would be 6 multiplied to each item in the parenthesis
this gets you 6x + 6y
Us the regression equation, y= 4.39x-6.77, to predict the age of a tree that is 125 cm in diameter
Answer:
y = 542 years
Step-by-step explanation:
Given that,
The regression equation, y= 4.39x-6.77 is used to predict the age of a tree.
y is age of a tree and x is diameter
Put x = 125 cm
Put the value of x in above equation.
y = 4.39(125)-6.77
=548.75 - 6.77
= 541.98
or
y = 542
So, the tree is 542 years old.
PLS help its about Triangles Thank you!!!
PLEASE HELP 50 POINTS
Compare the quantity in column A with the quantity in column B. Choose the best answer.
A. The quantity in Column A is greater.
B. The quantity in Column B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the given information.
Answer:
the answer is A
Step-by-step explanation:
Hope this helps!
Answer:
It is B The quantity in Column B is greater.
Step-by-step explanation:
Just took the assessment