Answer:
The total monthly charge if one uses 769 minutes is $68.65
Step-by-step explanation:
Example: If we are at x = 310, y = 45.50 and we use one more
minute, x goes up by 1, y increases by .05, putting us
at x = 311, y = 45.55. Thus, usage of 311 minutes
incurs a monthly cost of $45.55.
The y intercept is the point where x = 0.
That point on our equation is (0, 30)
This means that if zero minutes are used during the month,
the total charge for the month will be $30... the flat fee.
c) Find total monthly cost for using 769 minutes
y = .05x + 30
y = .05(769) + 30
y = 38.45 + 30
y = $68.65
Which terms complete the factorization of x2 27x 162 represented by the model? 27, 9x, 18x 9, 9x, 18x 27, 9x, 27x 9, 9x, 27x
Answer: 9, 9x, 18x
Step-by-step explanation:
Hope it helps :D
Solve the system of equations.
5x – y = 5
5x2 – y = 5
Answers:
(0, 5) and (0, –5)
(1, 0) and (0, –5)
(2, 5) and (1, 0)
(3, 10) and (2, 15)
Answer:
Option 2: (1, 0) and (0, -5)
Step-by-step explanation:
Let's solve this system of equations using the elimination method.
Start by labelling the two equations.
5x -y= 5 -----(1)
5x² -y= 5 -----(2)
(2) -(1):
5x² -y -(5x -y)= 5 -5
Expand:
5x² -y -5x +y= 0
5x² -5x= 0
Factorise:
5x(x -1)= 0
5x= 0 or x -1= 0
x= 0 or x= 1
Now that we have found the x values, we can substitute them into either equations to solve for y.
Substitute into (1):
5(0) -y= 5 or 5(1) -y= 5
0 -y= 5 or -y= 5 -5
y= -5 or -y= 0
y= 0
Thus, the solutions are (0, -5) and (1, 0).
What is the surface area of the following solid figure?
Answer:
62 in^2
Step-by-step explanation:
When finding the surface area of a trianglular prism, we can use the formula : ( S1 + S2 + S3 ) * l + bh.
Now, we simply plug in the values :
( 2.5 +2.5 + 3 ) * 7 + 6
( 8 ) * 7 + 6
56 + 6
62
What is 21/5 divided by 7/4
Is 3x^2-5x+205x^7 a perfect square?
Which equation best represents the relationship between x and y in the graph?
Answer:
C is your correct answer : y = 2x + 3
Step-by-step explanation:
Your answer choices are all in slope-intercept form.
Slope-Intercept Form: y=mx+b
First, you need to find the y-intercept.
Coordinate Point: (0,3) is your y-intercept.
Now, you need to find the slope.
This slope is positive.
There's another point (1,5).
This point is important because you can start at your y-intercept and rise and run to get to (1,5).
You have to rise up 2 and go over to the right 1.
2/1 is your slope but simplified is 2.
Your formula: y = 2x + 3
C is your correct answer
show your work step by step
Answer:
Step-by-step explanation:
Using Reflection, ADP and BCP are the same.
If line PD is equal to line PC, angle 1 is equal to angle 2 and angle 3 is equal to angle 4, then line AP is equal and a reflection of line BP, line AD is also equal and a reflection of line BC
In reflected angles, the sides and angles of the shape are not altered.
The original image and reflected shape above are same size and shape therefore triangle ADP and BCP are the same.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is. Solve for the length of the diagonal of Stacy's ceiling in two ways: (a) Using the Pythagorean Theorem. (b) Using trigonometry. Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!) Question 2 options:
The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the length of the diagonal, Usinng Pythagoras:
d² = 22² + 22²
d = 31 feet
Using trigonometric identity:
sin(45) = 22/d
d = 31 feet
The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
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Brahmagupta’s solution to a quadratic equation of the form ax2 bx = c involved only one solution. which solution would he have found for the equation 3x2 4x = 6?
The value of the quadratic equation x has a value of 0.8968 and a negative value of 2.23.
What is a factorization, and how does it work?It is a method for dividing a polynomial into parts, each of which will be multiplied. At this time, the polynomial's value will be zero.
The equation for the expression is given below.
3x² + 4x = 6
3x² + 4x - 6 = 0
we know that the formula
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Then we have
[tex]x = \dfrac{-4 \pm \sqrt{4^2-4*4*(-6)}}{2*3}\\\\x = \dfrac{-4 \pm \sqrt{112}}{6}\\\\x = 0.8968, \ -2.23[/tex]
More about the factorization link is given below.
https://brainly.com/question/6810544
7. Given secθ = V10 and tanθ= 3, determine
the following
csc(90° -θ)
[tex]\csc(90^{\circ}-\theta)\\\\=\sec \theta \\\\=\sqrt{10}[/tex]
Write 1/20 as a percent
help
Answer:
5%
Step-by-step explanation:
1/20 of 100% is 5%. So that means 5%
The table below shows the value of a car during certain years . Using an exponential model , write an equation for the curve of best fit, then estimate the value of the car in 2016 .
The exponential function that gives the value of the car in t years after 2008 is:
[tex]A(t) = 27500(0.88)^t[/tex].
Using the function, the estimate for the value of the car in 2016 is of $9,900.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
The initial value is of A(0) = 27,500.Considering the first year change, we have that 1 - r = 24200/27500 = 0.88.Hence, the equation is:
[tex]A(t) = 27500(0.88)^t[/tex]
2016 is 8 years after 2008, hence the value of the car will be given by:
[tex]A(8) = 27500(0.88)^8 = 9900[/tex]
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The exponential function is given as y = 27500(0.88)ˣ and the value of the car in 2016 is $9890
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the value of the car after x years after 2008, hence:
at x = 0, y = 27500
27500 = ab⁰
a = 27500
At x = 1, y = 24200, hence:
24200 = 27500b¹
b = 0.88
y = 27500(0.88)ˣ
In 2016, x = 8, hence:
y = 27500(0.88)⁸ = 9890
The exponential function is given as y = 27500(0.88)ˣ and the value of the car in 2016 is $9890
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Given: Line segment A B is parallel to line segment D C and Measure of angle 2 equals measure of angle 4
Prove: Line segment A D is parallel to line segment B C
A parallelogram has points A B C D. Angle D A B is angle 1, Angle A B C is angle 2, Angle B C D is angle 3, and angle C D A is angle 4.
A 2-column table with 7 rows. Column 1 is labeled statements and has entries line segment A B is parallel to line segment D C, measure of angle 2 = measure of angle 4, angle 1 and angle 4 are supplements, question mark, measure of angle 1 + measure of angle 2 = 180 degrees, angle 1 and angle 2 are supplements, line segment A D is parallel to line segment B C. Column 2 is labeled reasons with entries given, given, same side interior angles theorem, definition of supplementary angles, substitution, definition of supplementary angles, converse same side interior angles theorem.
m∠1 = m∠4
m∠2 = m∠3
m∠1 + m∠4 = 180°
m∠2 + m∠3 = 180°
Answer: (3)
Step-by-step explanation:
Angles 1 and 4 are supplementary, and their measures thus add to 180 degrees.
Answer:
Step-by-step explanation:
m∠2 + m∠3 = 180°
A gift bag has width $w$ and is in the shape of a rectangular prism. The volume of the gift bag is 1152 cubic inches. The height is greater than the width. What are the dimensions of the gift bag?
A gift bag is in the shape of a rectangular prism. It has a height left-parenthesis 18 minus w right-parenthesis inches. It has a width of w inches and a length of left-parenthesis 2 times w plus 4 right-parenthesis inches.
The length is
inches, the width is
inches, and the height is
inches.
Answer:
Step-by-step explanation:
multiply the equation base times height times width and you get 12000 for height and base you get 5600 and then for the heith you get 567
I NEED HELP FAST PLEASE HELP ME
Answer:
B
Step-by-step explanation:
!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!
Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?
A)x^2 - 16x + 64 = -21
B) x^2 - 16x + 64 = -21 + 64
C) x^2 - 16x + 16 = -21 + 16
D) x^2 - 16x + 8 = -21 + 8
Answer:
I believe the answer would be B) x^2 - 16x + 64 = -21 + 64
Step-by-step explanation:
When you're completing the square you take the "middle" term (in this case it's -16) and you divide it by two, then square it. By doing that for this problem you get 64 (16/2 = 8 - 8^2 = 64; signs don't matter in this case because you multiply 2 negatives). You have to add that 64 to BOTH sides so that the equation evens out.
Ultimately, with it factored, the answer will be (x-8)^2
Nadia needs one cup of ice cream for every student in her class for their year-end party. The ice cream is only sold in pints. If there are 24 students in her class, how many pints of ice cream will she need? Describe how to solve this problem.
Using proportions, it is found that she will need 12 pints of ice cream.
What is a proportion?A proportion is a fraction of a total amount.
Each cup is equivalent to 0.5 pints. There are 24 students, and each student needs a cup, hence 24 cups are needed.
In pints, the equivalent amount is given by:
P = 24 x 0.5 = 12.
She will need 12 pints of ice cream.
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You went shopping and bought a total of 31 items, some of them pants and some of them shirts. The shirts cost $7 and the pants cost $22 and you spend $517 in total. How many shirts and how many pants did you buy?
Shirts________
Pants________
Find the surface area of the prism formed by each net.
Answer:
378 in^2
Step-by-step explanation:
This is the sum of the area of the 6 rectangles
That is:
8*15 + 3*15 + 3*8 + 8*15 + 3*8 + 3*15
= 378 in^2
Edmundo brought 4 trading cards yesterday. he brought some more trading cards today. now he has 12 trading cards. if n represents the number of trading cards Edmundo bought today, which equation is correct?
Answer:
4+n=12
Step-by-step explanation
yesterday= 4
today= unknown
4+n=12
Answer:
The equation that you would use would be, 4+n=12
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Step-by-step explanation:
I hope this helps you :)
Pls mark brainliest :P
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W/ <3...
Tori
Use the bar graph to find the experimental probability of the event.
The experimental probability of spinning a number less than 3 is
.
Answer: 2 Hope This Is Right!
Step-by-step explanation:
The radius of a circle is 19m. Find its area to the nearest whole number.
1134.11m²
______----------________
Answer:
1134.11
Step-by-step explanation:
The problem with this equation is pi is an angle in radians. It has a never ending number of digits.
The area of a circle is basically a square r x r rotated through 180 degrees around the squares centre.
So the area can be written as 180 x 19 x 19 = 64980 degrees meters square.
This is a finite number. The area of a circle does not change. Pi r squared has an ever increasing result.
pi is a conversion factor between the finite areas of circles and the area in square units which can never have a result that is finite as squares cannot fill a circle, no matter how small.
To convert the round finite area to m squared you divide the area by 180/pi = 57.295779513 degrees per radian.
Area in degrees meters Squared 64980/ 57.295779513.
= 1134.1149479 radian meters squared.
PLease help i will give brainliest
Answer:
I don't have a good knowledge of means but I know it isn't B or D.
Step-by-step explanation:
I need help with this question.
Answer:
B quadrant 4
Step-by-step explanation:
to check it, calculate the sin and cos of 300°
Tamara's backyard pool needs a cover for the winter. The pool is
rectangular with a length of 12 feet and an area of 196.8 square feet.
What is the width of the pool cover Tamara's pool will need?
Answer:
16.4 feet
Step-by-step explanation:
Area of a rectangle: length * width = area
12*w=196.8
w=196.8/12
w=16.4 feet
someone help..... pls
Answer:
Go right 4 blocks. Then go down 3 blocks.
Step-by-step explanation:
From Brianna's house at (1,6), move 4 blocks to the right and you will be at (5,6). Next, move 3 blocks down and you will be at Jordan's house at (5,3).
The arc length of a sector created by a 90 degrees angle is 2 pi cm. What is the circumference of the entire circle? Express the answer in terms of Pi.
Recall the formula StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
StartFraction pi over 4 EndFraction centimeters
StartFraction pi over 2 EndFraction centimeters
6 pi centimeters
8 pi centimeters
Answer:
8 pi cm
Step-by-step explanation:
90 degrees is 1/4 of the entire circle (360 degrees)
2 pi * 4 = 8 pi cm
1. Avenue A runs parallel to Avenue B, and Avenue C runs diagonally across the two streets. Use the marked angles to write and solve an equation to find the value of x. 10x + 6 Avenue A 6x – 18 Avenue C Avenue B
The value of the equations related to the angle system related to the two parallel lines (avenues A and B) cut by a third diagonal line (avenue C) is equal to to 12.
How to determine the value of x from a system of angles
In this question we must apply all Euclidean theorems of angles between two parallel lines cut by a third diagonal line. The internal angle between avenues B and C equals 6 · x - 18 and the external angle between avenues A and C equals 10 · x + 6.
By alternate internal angles between parallel lines we infer the measure of the internal angle between the avenues A and C equals 6 · x - 18, and definition of supplementary angles we have the following expression:
(6 · x - 18) + (10 · x + 6) = 180
16 · x - 12 = 180
16 · x = 192
x = 12
The value of the equations related to the angle system related to the two parallel lines (avenues A and B) cut by a third diagonal line (avenue C) is equal to to 12. [tex]\blacksquare[/tex]
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7th Grade Math) 6. A student usually saves $20 a month. He would like to reach a goal of saving $350 in 12 months. The student writes the equation 350 = 12(x + 20) to represent this situation. Solve the equation for x. Show your work or explain your answer. Write your answer as a sentence that describes what the variable x represents. Enter your answers and your work or explanation in the box provided.
Answer:
x=9.167
Step-by-step explanation:
12x+240=350
350-240 because you are getting rid of 240 to get 12x by itself so you must do it on the other side.
12x=110, then you do 12x/12 and 110/12
x=9.167
Answer: Approimately $9.16
Step-by-step explanation:
In this problem, you have to solve for x variable.
1. Distribute the 12 to the x + 20 which is 12x + 240
2. Subtract 240 from both sides so 350 - 240 is 110.
3. Now your equation is 110 = 12x
4. Divide 12 on both sides. But 12 doesn't go into 110 perfectly.
5. 110 divided by 12 is approximately 9.16.
The x represent how much the student has earn extra to get $350 in 12 months. The student has to earn 9.16 dollars every month on top of the 20 dollars.
URGENT! I NEED HELP
You want to buy 700 of an item, but it has to cost $200 or less. What is the maximum amount that the item can cost to meet your criteria?
Answer:
0.28571428571
Step-by-step explanation:
because 200 ÷ 700 will equal that weird number