The gym charges $41.5 per month.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
One time fee of gym = $59
Justine will pay after one year = $557
So, gym fees per year = $557 - $59
⇒ gym fees per year = $498
∴ gym fees per month = gym fees per year / 12
⇒ gym fees per month = $498/12
⇒ gym fees per month = $41.50
Thus,the gym charges $41.50 per month.
To learn more about expressions :
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Maximize −4x + 5y + 70 subject to the constraints:
2x + y ≤ 8
x + 3y ≥ 5
x + y ≤ 6
x ≥ 0,
y ≥ 0
a. Fix any constraints, as needed, and then convert the linear programming problem into a system of linear equations.
b. Give a fully labeled initial tableau, and circle the pivot element.
Answer:
Step-by-step explanation:
[tex]\text{To maximize -4x + 5y + 70 subject to } \\ \\ 2x + y \le 8 --- (1) \\ \\ x + 3y \ge 5 --- (2) \\ \\ x + y \le 6----(3) \\ \\ x \ge 0, y \ge 0[/tex]
[tex]\text{From above equationn (1)} : 2x + y = 8 \\ \\ \text{Divide boths sides by 8} \\ \\ \dfrac{2x}{8} + \dfrac{y}{8} = \dfrac{8}{8}[/tex]
[tex]\dfrac{x}{4} + \dfrac{y}{8} = 1 \\ \\ x = 4; y = 8[/tex]
[tex]\text{From above equationn (2)} : x + 3y = 5 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{5} + \dfrac{3y}{5} = \dfrac{5}{5} \\ \\ x = 5; \ y = 1.66[/tex]
[tex]\text{From above equation (3)} : x + y = 6 \\ \\ \text{Divide boths sides by 5} \\ \\ \dfrac{x}{6} + \dfrac{y}{6} = \dfrac{6}{6} \\ \\ x = 6; \ y = 6[/tex]
[tex]\text{From the image attached below, we can see the representation in the graph}[/tex]
- [tex]\text{Now from equation (1) ad (III)} \\ \\ 2x + y = 8 \\ \\ x+y = 6[/tex]
[tex]x[/tex] [tex]= 2[/tex]
[tex]From : x + y = 6 \\ \\ 2 + y = 6 \\ \\ y = 6-2 \\ \\ y =4[/tex]
[tex]\text{From equation (1) and (II) } \\ \\ \ \ 2x + y = 8 \\ - \\ \ \ x + 3y = 5 \\ \\[/tex]
[tex]-5y = -2 \\ \\ y = \dfrac{2}{5} \ o r\ 0.4 \\ \\ From : 2x+ y = 8 \\ \\ 2x = 8 - \dfrac{2}{5} \\ \\ x = \dfrac{ 8 - \dfrac{2}{5} }{2} \\ \\ x = 3.8[/tex]
Tara and Mallory are practicing their passing at a volleyball practice. Tara bumps the ball from a height of 3 feet above the ground with an initial upward velocity of 12 feet/second. at the same time, mallory serves the ball from a height of 3.25 feet above the ground with an initial upward velocity of 9 feet/second.
if x represents the number of seconds since each ball is passed and y represents the height of the ball, which system of equations models the projectile motion of the two balls? recall that the acceleration due to gravity is -32 feet/second
Answer:
The system of equation that models the projectile of the two balls is option;
C. y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
Step-by-step explanation:
The general equation for vertical (upward) motion under gravity is presented as follows;
h - h₀ = u·t + 1/2·g·t²
Where;
h = The final height reached
h₀ = The initial height
u = The initial velocity
g = The acceleration due to gravity ≈ -32 feet/second
t = The time taken
We can rewrite the above equation with different letters for the variables as follows;
h = y,
h₀ = y₀, and
t = x
Therefore, we have;
y - y₀ = u·x - 1/2 × 32 × x²
y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀
y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀
y = -16·x² + u·x + y₀
For Tara, we have;
u = 12 feet/second
y₀ = 3 feet
Therefore, we get;
y = -16·x² + 12·x + 3
For Mallory, we have;
u = 9 feet/second
y₀ = 3.25 feet
Therefore, we get;
y = -16·x² + 9·x + 3.25
The correct option is therefore;
y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
Aretha had 9 pencils. She gave her
sister 1/3 of the pencils. How many
pencils did Aretha give her sister?
Answer:
3
Step-by-step explanation:
9 divided by 3 is 3
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only
Given:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60 cm.
To find:
The number of kitchen cupboard that will fit in 4.2 metres.
Solution:
Let x be the number of kitchen cupboard that will fit in 4.2 metres.
Width of 1 cupboard = 60 cm
Width of x cupboards = 60x cm
We know that, 1 m = 100 cm.
Width of a kitchen = 4.2 metres
= 4.2×100 cm
= 420 cm
Now, the width of the x cupboards is equal to width of the kitchen.
[tex]60x=420[/tex]
[tex]x=\dfrac{420}{60}[/tex]
[tex]x=7[/tex]
Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.
(X8.6.PS-12
Question Help
A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2 m wide.
Find the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.
(Round to the nearest whole number as needed.)
Enter your answer in the answer box and then click Check Answer.
Clear All
Check Answer
All parts showing
Answer:
area = 138 m²
Step-by-step explanation:
radius of large circle = 12 m
radius of small circle = 10 m
large circle area = πr² = (3.14)(12²) = 452.16 m²
small circle area = πr² = (3.14)(10²) =314 m²
452.16 - 314 = 138.16 m²
Can someone please help me?
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
What is the area of the trapezoid shown below?
Answer: where is the trapezoid
Step-by-step explanation:
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 2346 floppy disks is drawn. Of these disks, 1971 were not defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The proportion of disks which are defective is 0.16.
Step-by-step explanation:
The proportion of defective disks is the number of defective disks in the sample divided by the size of the sample.
In this question:
2346 disks.
1971 not defective, so 2346 - 1971 = 375 defective.
[tex]p = \frac{375}{2346} = 0.16[/tex]
The proportion of disks which are defective is 0.16.
Pls help. Im so lost.
Answer:
x = 35 degrees
Step-by-step explanation:
supplementary angles = 180 degrees
m<A + m<B = 180
(2x - 5) + 3x = 180
5x - 5 = 180
5x = 175
x = 35
Explain the difference between a percent and a unit rate.
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
Sarah is solving for X by the process of completing the square for the following problem..
2x^2+16x-12=0
She got to this point below - type the number that goes in the (?) spot
(x+?)^2=22
Answer:4
Step-by-step explanation: Since she did it by completing the square, then you must do the same thing to get the same form so you can see what that number is.
So first subtract the constant which is -12 so we need to add twelve to get the constant on the other side. So we now have 2x^2+16x=12
The constant of the x^2 must be 1 so we need to divide by 2 on every term to get x^2+8x=12
So to make it so to get a perfect factor we need to divide the x factor by 2 so we get 4.
So the answer is 4 cause it is a perfect factor so were going to get 4 on both factors.
Answer:
4
Step-by-step explanation:
x²+2(x)(?)+?²=22
multiply by 2 because the coefficient of the higher degree in the first equation is 2
2x²+2(2(x)(?))+2(?²)-2(22)=0
2x²+4x(?)+2?²-44=0
Comparison
4x(?)=16x
?=4
2?²-44=-12
So, 2?²=-12+44
2?²=32
?²=16
?=4
Priya rewrites the expression 8y−24 as 8(y−3). Han rewrites 8y−24 as 2(4y−12). Are Priya's and Han's expressions each equivalent to 8y−24? Explain your reasoning
Answer:
sdfsefsesfsfsefsefsefsefsfsefesef
Step-by-step explanation:
I Need help plz will give brainlyist for the correct answer
Laura wants to learn more about her new high school. Which of the following is a statistical question Laura could ask?
A. What is the address of the school
B. Who is the principal
C. How old are the students at the school
D. Does the high-school have a jazz band
Answer:
D.
Step-by-step explanation:
There is no explanation
Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound How much change should he receive if he pays with a $20 bill? a)
Answer:
$6.20
Step-by-step explanation:
5.75 * 2.40= 13.80
20-13.80= 6.20
$6.20
Diego has run 4/5 of a race distance. He has run 7 2/3
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production group believes that the mean weight has changed. They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces. What conclusion can we make from the appropriate hypothesis test at the .01 level of significance
Answer:
We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
Step-by-step explanation:
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.
This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]
The production group believes that the mean weight has changed.
This means that the alternate hypothesis is:
[tex]H_a: \mu \neq 12[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
12 is tested at the null hypothesis:
This means that [tex]\mu = 12[/tex]
They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.
This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]
[tex]z = 2.42[/tex]
Pvalue of the test:
We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.
Looking at the z-table, z = 2.42 has a pvalue of 0.9922
1 - 0.9922 = 0.0078
2*0.0078 = 0.0156
What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?
0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
NO LINKS (QUESTION BELOW)
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
How much times does it take to put 0.3 into 5.7 whoever answers first and the most accurate gets brainliest
Answer:
what is the answer to this
Two optometrists (eye doctors) each compiled data from 10 different random samples. The table contains their respective data sets.
Doctor A Doctor B
Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts
745 643 102 763 651 112
726 634 92 736 625 111
769 670 99 735 622 113
765 658 107 759 624 135
756 636 120 748 631 117
742 624 118 756 621 135
757 641 116 765 653 112
748 655 93 761 647 114
770 649 121 768 646 122
738 629 109 761 646 115
Part A
Are there any noticeable outliers in either of the data sets? What does this mean about the best measures to use for center and variability?
Step-by-step explanation:
the answer is 19
Step-by-step explanation:
5.7/0.3=19
Steven paid $60 for 3 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Steven put in the blank of the following equation? c=$___÷3?
Answer:
c=$60/3. $20 dollars per class.
Step-by-step explanation:
P.S 26 is not the answer I tried it I need help :(
Answer:
52.........................
Answer:
A
Step-by-step explanation:
(2x + 6)° = 32°.........(Alternate angles are equal)
2x° = 32°- 6°
2x° = 26°
x. = 26 ÷ 2
x. =. 13°
PLEASE GIVE BRAINLIEST....
Can please someone do this❗️
Answer:
7 is 50 , 8 is84, 9 is 45, 10 is 135, 11 is 155 and 12 is 80
Step-by-step explanation:
PLEASE JUST HELP ITS ACTUALLY AN EMERGENCY I WILL GIVE 3K ON BLOXBURG FOR THIS
cut off the topright rectangle so there are 2 rectangles.
That will make it look like this
2x3=6
+
5x3=15
=
21
The area of that shape would be 21 square feet
21 square ft
u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;
I need help ASAP I’m confused with this problem
Answer:
I believe it's A
Step-by-step explanation:
not sure but
what is the value of angle x?
Answer:
x=66
Step-by-step explanation:
Hello There!
∠BAC ≅ ∠CDB because in a parallelogram opposite angles are congruent
So all we have to do is solver for ∠BAC
Remember the sum of the triangles angles is 180 so to find ∠BAC
we subtract the given angles (83 and 31) from 180
180-83-31=66
so ∠BAC = 66
like stated before
∠BAC≅∠BDC so if ∠BAC = 66 then x also equals 66
Answer:
x = 66
Step-by-step explanation:
x = 66 degree
Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation
Answer:
y = 5x + 100
Step-by-step explanation:
Level 2: Find the area of the shape:
8 ft
6 ft
14 ft
5 ft
5 ft
Area:
ft2
Help please!!!!
Step-by-step explanation:
a triangle is the area of 2
Find the vertex of the parabola y=2x^2+10x+8
Answer:
Step-by-step explanation:
Put the equation into vertex form.
y = 2x² + 10x + 8
= 2(x² + 5x) + 8
= 2(x² + 5x + 2.5²) - 2·2.5² + 8
= 2(x+2.5)² - 4.5
vertex (-2.5, -4.5)
If 78% of the total is 156 marks, find the total marks in the test
200
206
176
210
WILL GIVE BRAINLIST PLS HELP Find x. Round your answer to the nearest tenth.
Answer:
i think x= 13.5
Step-by-step explanation: