The total number of hours that it opens in one week will be 104 hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Walmart is open Monday through Saturday from 8:00 AM to 12:00 AM and Sunday from 10:00 AM to 8:00 PM.
From 8:00 AM to 8:00 PM, there are 12 hours and from 8:00 AM to 12:00 AM there are 4 hours. Then the total hours from Monday to Saturday will be calculated as,
⇒ 6 x (12 + 4)
⇒ 6 x 16
⇒ 96 hours
From 10:00 AM to 8:00 PM, there are only 10 hours. Then the total number of hours that it opens in one week will be given as,
⇒ 96 + 8
⇒ 104 hours
The total number of hours that it opens in one week will be 104 hours.
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Determine if the triangle pairs are similiar.
Yes , the triangles ΔSTU and ΔSRQ are similar triangles
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔSTU
Let the second triangle be ΔSRQ
Now , for the triangles to be similar , the corresponding sides of the triangles should be in the ratio
So , on simplifying , we get
The measure of side ST = 21
The measure of side SU = 35
The measure of side SQ = 6
The measure of side SR = 10
Now , for similar triangles ,
ST / SQ = SU / SR
Substituting the values in the equation , we get
21 / 6 = 35 / 10
3.5 = 3.5
Therefore , the corresponding sides of the triangles are equal
Hence , the pair of triangles are similar triangles
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14. Harold borrowed $9,000 for 5 years at an APR of 3.6%.
a. What is Harold's monthly payment? Round to the nearest cent. (Round your answer to the nearest cent and use the rounded answer for further calculations)
b. What is the total amount that Harold paid in monthly payments for the loan?
c. What is the amount Harold will pay in finance charges?
a. Harold's monthly payment is given as follows: $164.13.
b. The total amount paid is given as follows: $9,847.8.
c. The finance charge is of: $847.8.
What is the monthly payment formula?The monthly payment formula is defined as follows:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which the parameters are listed as follows:
P is the initial amount.r is the interest rate.n is the number of payments.The values of these parameters for this problem are given as follows:
P = 9000, r = 0.036, n = 5 \times 12 = 60.
Then:
r/12 = 0.036/12 = 0.003.
Then the monthly payment is calculated as follows:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 9000\frac{(0.003)(1.003)^{60}}{(1.003)^{60} - 1}[/tex]
A = $164.13.
Then the total amount paid is of:
Total = 60 x 164.13 = $9,847.8.
Meaning that the finance charge is given as follows:
9847.8 - 9000 = $847.8.
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Madelyn and Kaia are competing to see who can sell the most tickets for the Winter Dance. On Monday, Madelyn sold 22 and then sold 30 per day after that.
Kaia sold 53 on Monday and then sold 20 per day after that.
Write an equation to represent the number of tickets that Madelyn sold.
Write an equation to represent the number of tickets that Kaia sold.
Write a system of equations. What is the appropriate method for solving the system?
Solve the system of equations. Explain the meaning of your solution.
The equations found for the number of tickets sold when 22 tickets are sold on Monday and 30 per day after are sold by Madelyn, and 53 tickets are sold on Monday and 20 per day after that are;
Tickets sold by Madelyn is; y = 22 + 30·x
Tickets sold by Kaia is; y = 53 + 20·x
A system of equation obtained from the details in the question can be presented as follows
y = 22 + 30·x...(1)
y = 53 + 20·x...(2)
The appropriate method for solving the system is to equate equivalent values of one of the variable obtained from each equation in the system.
The solution of the system of equation is; x = 3.1, which indicates that it takes about 3.1 days for the number of tickets sold by Madelyn and Kaia to be equivalent.
What is an equation?An equation consists of two expressions that are joined by the 'equals to' (=) sign.
The number of tickets for the Winter Dance Madelyn sold = 22
Number of tickets per day Madelyn sold after that = 30 per day
Number of tickets Kaia sold on Monday = 53
Number of tickets per day Kaia sold after that = 20 per day
Let x represent the number of days since Monday, and let y represent the number of tickets sold
Therefore;
The number of tickets Madelyn sold, y = 22 + 30·x
The number of tickets Kaia sold, y = 53 + 20·x
The system of equations from the specified information is the equation for the number of tickets Madelyn sold and the number of tickets Kaia sold combined, which can be presented as follows;
y = 22 + 30·x...(1)
y = 53 + 20·x...(2)
The method of solving the equations is by plugging in the value of y from equation (1) in equation (2), as follows;
22 + 30·x = 53 + 20·x
30·x - 20·x = 53 - 22 = 31
10·x = 31
x = 31 ÷ 10 = 3.1
The meaning of the solution of the system of equation, x = 3.1, is that the number of days for the number of tickets sold by Madelyn and Kaia to be the same is about 3 days
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please help, this is my finals & i don’t know it
Answer:
i think that answer is correct
Step-by-step explanation:
Helppppp meeeee guyssss
Describe fully the single transformation that the maps triangle a onto triangle b
The transformations that took for mapping ΔA onto ΔB are:
a) Translated the triangle A 2 units to the right,
b) Reflected the ΔA' (translated A) over the y-axis,
c) Reflected the ΔA'' (reflected A) over the x-axis, resulting in ΔB.
What are transformation rules applied to triangle A to form triangle B?The transformation rules are:
a) Translation: (x, y) ⇒ (x + 2, y) (In the right side direction)
b) Reflection over the y-axis: (x, y) ⇒ (-x, y)
c) Reflection over the x-axis: (x, y) ⇒ (x, -y)
Calculation:The given vertices of triangle A are: (-2, 3), (-5, 3), and (-5, 5).
a) Applying translation by 2 units to the right to triangle A:
(-2, 3) → (-2 + 2, 3) → (0, 3)
(-5, 3) → (-5 + 2, 3) → (-3, 3)
(-5, 5) → (-5 + 2, 5) → (-3, 5)
So, triangle A is translated to triangle A'.
b) Applying reflection over the y-axis to the triangle A':
(0, 3) → (0, 3)
(-3, 3) → (3, 3)
(-3, 5) → (3, 5)
So, triangle A' is reflected as triangle A''.
c) Applying reflection over the x-axis to triangle A'':
(0, 3) → (0, -3)
(3, 3) → (3, -3)
(3, 5) → (3, -5)
Thus, the formed triangle is B at the vertices (0, -3), (3, -3), and (3, -5).
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Which of the following best describes the second law passed under the Morrill Act?
Eastern schools had to research which crops were suitable for farms in Midwestern America.
Answer:
Step-by-step explanation:
the distribution of scores on a recent test closely followed a normal distribution with a mean of 22 points and a standard deviation of 2 points. for this question, do not apply the standard deviation rule. (a) what proportion of the students scored at least 27 points on this test, rounded to five decimal places?
Therefore ,0.62097 % proportions of students scored at least 27 points on this test
What do you learn from z-scores?The Z-score provides information on how far a given value deviates from the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations above or below the mean a specific data point falls. The level of variability within a particular data collection is effectively reflected in the standard deviation.
Here,
z = (x - μ)/σ
here ,raw score =x ,standard deviation=σ and mean= μ
μ = 22, σ = 2
For x > 27:
z = (27 - 22)/2 = 1
P(z > 1) = 1 - P(z < 1) = 1 - 0.99379 = 0.0062097
Therefore , 0.62097 % of students scored at least 27 points on this test
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solve for x.
enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x + x - x = x
explanation:
give us the actual formula lol
Question 1
Find the midpoint of the line segment with these
endpoints: (7,-6), (-6, -8)
A) (-18, -10)
B) (6.5, 1)
C) (0,5)
D) (.5, -7)
OB
OC
OA
OD
10 pts
Answer:
D
Step-by-step explanation:
(7+-6)/2
(7-6)/2
1/2
(-6+(-8)/2
(-6-8)/2
-14/2
-7
(.5,-7)
PLEASE HELP ASAP!!!
Sharon wants to switch from cable to satellite TV. She calls Great Vista Satellite to get a quote. After looking at her cable bill, the salesperson explains that they can provide the same 300 channels Sharon has for $0.20 less per channel. If she switches, her monthly satellite bill will come to $180.
Which equation can Sharon use to find c, the average amount the cable company charges per channel?
0.20(c - 300)
0.20c - 300
300(c - 0.20)
300c - 0.20
How much on average does the cable company charge per channel?
The equation Sharon can use to find c, the average amount the cable company charges per channel is 300(c - 0.20) = 180.
The cable company charges an average of $0.80 per channel.
What is an Equation?An equation involves two expressions or statement on two sides connected with an equal sign.
Total number of channels = 300
Let c be the cable company charges per channel.
Then the charge satellite company charges per channel = c - 0.20
Monthly charge of satellite company = 300(c - 0.20)
Monthly satellite bill = $180
So, 300(c - 0.20) = $180
⇒ c - 0.20 = 180/300
⇒ c - 0.20 = 0.60
⇒ c = 0.60 + 0.20
⇒ c = 0.80
Hence the equation used to find the cable company charge per channel is 300(c - 0.20) = 180 and the cable company charge per channel is $0.80.
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A line passes through the points (−4, 7) and (5, −8). What is the slope of the line?
Answer:
-5/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1) ==> (x1, y1), (x2, y2) are the coordinates and
m is the slope
(x1, y1), (x2, y2) ==> (x1=-4, y1=7), (x2=5, y2=-8)
m=(-8-7)/(5-(-4)) ==> plug in known values
m=(-15)/(5+4) ==> simplify
m=-15/9
m=-5/3
Given the functions f(x) = x3 + x2 – 3x + 4 and g(x) = 2x – 4, what type of functions are f(x) and g(x)? Justify your answer. What key feature(s) do f(x) and g(x) have in common? (Consider domain, range, x-intercepts, and y-intercepts.)
1. f(x) - cubic function -- polynomial , g(x) - linear function
similar
domain all real numbers (?)range is all real number, end behavior is the sameThe function f(x) = x³+x²-3x+4 is a polynomial function and g(x) = 2ˣ-4 is an exponential function.
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y-intercept = 4
x - intercepts = -2.68
Function g(x)
Domain: x > 0
Range: -4 < y < ∞
y - intercept = -4
x - intercepts = none
By comparing the key features above, we can conclude that the common features in both functions are their range
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Four more than the product of a number and 8 is equal to 7.
Answer: x = 0.375
Step-by-step explanation:
Equation: 8x + 4 = 7
Subtract 4 on both sides
8x = 3
Divide by 8 on both sides
x = 3/8 is 0.375 decimal
x = 0.375 (0.38 round-up)
Answer:
x = 3/8
Step-by-step explanation:
Four more than the product of a number and 8 is equal to 7.
4 + 8x = 7
8x = 7 - 4
8x = 3
x = 3/8
---------------------
check
4 + 8 x 3/8 = 7
4 + 3 = 7
7 = 7
the answer is good
A function p(x) is shown on the graph below.
O True
O False
Answer:
True
Step-by-step explanation:
The point [tex](0,3)[/tex] lies on the graph.
If cos2β = 3/4 and ß terminates in quadrant III, find cosβ :
Answer:
cosβ = -1/2
Step-by-step explanation:
Since cos2β = 3/4 and β is in quadrant III, the value of cosβ must be negative. We can find the exact value of cosβ by using the identity cos2β = 2cos^2β - 1. Substituting 3/4 for cos2β and solving for cosβ, we get:
3/4 = 2cos^2β - 1
cos^2β = 1/4
cosβ = 1/2 or -1/2
Since cosβ is negative in quadrant III, the value of cosβ is -1/2. Thus, the answer is cosβ = -1/2.
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The length of a side of a cube is 4x units. In cubic units, what is the volume of the cube?
Answer:
volume of cube= l^ 3
=(4x)^3
=64x^3 cubic units
A student must save at least $675 plus 3% tax to buy a round-trip ticket to London. The student has $98 saved already.
If the student earns $32 per week and plans to save half of the earnings each week toward the ticket cost, how many weeks will it take the student to save enough money for the ticket?
It will take 38 weeks a student to save enough money for the ticket.
What is division?Mathematical operations come in several types, with division being one. The phrases or numbers are divided into the same number of components during this operation.
Given,
a student must save at least $675 plus 3% tax to buy a round-trip ticket to London.
3% of 675
= 3 x 675 / 100
= 20.25
The student has $98 saved already.
Now student needs ($675 - $98) + 20.25 = $577 + 20.25
= $597.25
If the student earns $32 per week and plans to save half of the earnings each week toward the ticket cost.
That means, $32 / 2 = $16 per week.
To find the amount of enough money:
Divide $597.25 by $16.
597.25 /16
= 37.328125
≈ 38 weeks
Therefore, student will save for 38 weeks.
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Vashti is designing the cover of the school yearbook. She wants to draw a flower on the cover that looks the same for each rotation of 45 degrees. How many petals should the flower have?
The number of petals that the flower should have is of:
8 petals.
When does a figure has rotational symmetry?A figure has rotational symmetry when it can be rotated by an angle measure which is greater than 0º and less than 360º and the rotated image is equals to the original figure, that is, the image is equals to the pre-image.
In this problem, we want the flower to have a rotation symmetry of 45 degrees.
The total angle measure of the flower is given as follows:
360º.
Then the number of petals needed for the flower to have a rotational symmetry of 45º is calculated as follows:
360/n = 45.
Applying cross multiplication, we have that:
45n = 360
n = 360/45
n = 8 petals.
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Jack's house is located at the point (-2, 3) and Jill's house is located at the point (4, -5). They plan to meet up at the hill located halfway between there two houses what is the coordinate location of the Hill
The coordinate location of the hill halfway between them is (1, -1).
How to find the distance between two points?Jack's house is located at the point (-2, 3) and Jill's house is located at the point (4, -5). They plan to meet up at the hill located halfway between there two houses.
The coordinate location of the hill can be calculated as follows:
using mid point formula,
(x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
using the end points (-2, 3) and (4, -5)
(x, y) = (-2 + 4 / 2, 3 - 5 / 2)
(x, y) = (2 / 2. -2 / 2)
(x, y) = (1, -1)
Therefore, the coordinate location of the hill is (1, -1).
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help ???????????????
a. 4(x - 5)^2
= 4 * (x - 5)^2
= 4 * ((x - 5) * (x - 5))
= 4x^2 - 40x + 100
b. 3(x + 1) (2x - 9)
= (3(x + 1)) (2x + −9)
= (3(x + 1))(2x) + (3(x + 1))(−9)
= 6x^2 + 6x − 27x − 27
= 6x^2 − 21x − 27
c. -2(4x + 2)^2
= -2 * (4x + 2)^2
= −2 * ((4x + 2) * (4x + 2))
= 32x^2 − 32x − 8
or d. -2(4x + 2)^2 - 5 (with subtracting 5)
= −32x^2 + −32x + −8 + −5
= (−32x^2) + (−32x) + (−8 + −5)
= −32x^2 + −32x + −13
d. -3(5x - 2)^2 + 5 (with negative)
= 75x^2 + −60x + 12 + 5
= 75x^2 + −60x + 12 + 5
= (75x^2) + (−60x) + (12 + 5)
= 75x^2 + −60x + 17
or d. 3(5x - 2^2 + 5 (without negative)
= (3)(5x + −4 + 5)
= (3)(5x) + (3)(−4) + (3)(5)
= 15x − 12 + 15
= 15x + 3
5(x+6) - 2x = 3(x+10)
Answer:
All Real Numbers
Step-by-step explanation:
I assume you are solving for x.
The Interval Notation would be: (-∞,∞)
Age is an example what kind of data categorical or quantitative?
Age, BMI, creatinine, and the amount of time between conception and death are a few examples of quantitative characteristics.
How do you know if data is categorical or quantitative?Any variable where the data indicate amounts is referred to be a quantitative variable (e.g. height, weight, or age). Any variable where the data reflect groupings is referred to be a categorical variable.A categorical variable's data will always be qualitative, while a numeric variable's data will always be quantitative. As a result, based on whether the variable is numeric or categorical, you may determine the kind of data before it is collected.Data types that may be kept and recognized based on the names or labels assigned to them are referred to as categorical data. Data that is expressed as numbers rather than in any linguistic or descriptive form is referred to as numerical data.Learn more about quantitative data refer to :
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It costs $270 for 3 people to go on a fishing trip. How many people can go for $1,080?
Answer:12
Step-by-step explanation:
270/3=90, this is the amount it costs for 1 person to go
1080/90=12
12 people can go for $1080
giving barinly to someone who answers in a complete sentence and who is write
Approximate √15 to the nearest integer.
Explain how you got your answer.
The square root of 15 is approximately 4.
To approximate the square root of 15, we can find the perfect squares that are closest to 15. The perfect squares that are closest to 15 are 9 and 16. Since 15 is closer to 16, we can say that the square root of 15 is slightly less than 4.
Another approach could be:
The square root of 15 is approximately 3.87. Rounding to the nearest integer gives us 4. To round a number, we look at the number following the place value we are rounding to. If it is greater than or equal to 5, we round up. If it is less than 5, we round down. In this case, the digit following the ones place is 8, which is greater than 5, so we round up to 4.
Given the explicit formula for an arithmetic sequence find the first five terms and the term named in the problem.
1) a n = -11 +7n Find a 34
2) a n = 65-100n Find a 39
3) a n = -7.1-2.1n Find a 27
4) a n = 118 +1 2 n Find a 23
Answer: 59
Step-by-step explanation:
find the inverse of f(x)=√x+4-2
What is the solution to this
inequality?
8.6 ≤ x - 5 4/5
Answer:
x ≥ 72/5
8.6 ≤ x -5 4/5= 8.6 ≤ x -29/5
8.6 ≤ x -29/5= x ≥ 72/5
one number is 4 less than 3 times a second number. Two times the first number decreased by two times the second is 8. what is the value of the larger number?
A.4
B.12
C.8
D.2
E.14
Answer:
Step-by-step explanation: To solve the problem, we can use the given information to set up a system of equations and solve for the values of $x$ and $y$. Specifically, we are given that one number is 4 less than 3 times a second number, and that two times the first number decreased by two times the second is 8.
Let $x$ represent the larger number, and $y$ represent the second number. We can write the given information as a system of equations as follows:
x &= 3y - 4
2x - 2y &= 8
Solving this system of equations, we find that $x = 12$ and $y = 2$. Therefore, the value of the larger number is 12
Find the sum of (–4 i) and (10 – 5i). –3 5i –3 – 5i 6 – 4i 6 – 6i
The sum of the two complex numbers will give:
(-4 + i) + (10 - 5i) = 6 - 4i
So the correct option is the third one.
How to add two complex numbers?Let's assume we have two complex numbers which are:
A = a + bi
B = c + di
The sum between these two complex numbers is:
A + B = (a + bi) + (c + di)
Taking i as a common factor we can rewrite:
(a + bi) + (c + di) = a + c + (b + d)i
And that is the general sum.
Here we want to solve:
(-4 + i) + (10 - 5i)
Again, if we take i as a common factor we can rewrite:
-4 + 10 + (1 - 5)*i
6 - 4i
So the correct option is the third one.
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