Answer: 6
Step-by-step explanation:
Let x represent the number of plates bought for $6
Let y represent the Total number of plates bought = x + 1
Remember that Mrs. Lim bought another plate for $18
Total cost ÷ Total plates = Average Cost
[tex]\dfrac{6x+18}{x+1}=8\\[/tex]
6x + 18 = 8(x + 1)
6x + 18 = 8x + 8
18 = 2x + 8
10 = 2x
5 = x
y = x + 1
= 5 + 1
= 6
What is the explicit formula for the sequence {3, 8, 13, 18, ...}?
an = 3 – 5(n − 1)
O an = 3 +5,-1
An = 3 + 5(n − 1)
an = 3 + an-1
Find the solution set.9x^2-3x=2 separate the two values with a comma.
Answer:
x = -1/3, 2/3
Step-by-step explanation:
Step 1: Isolate everything to one side
9x² - 3x - 2 = 0
Step 2: Factor
(3x + 1)(3x - 2) = 0
Step 3: Find roots
3x + 1 = 0
3x = -1
x = -1/3
3x - 2 = 0
3x = 2
x = 2/3
Which of the following statements are true about authorized direct payments: (select all that apply)
a: It can be easy to forget what gets paid each month and when and make sure you have enough money in your checking account to cover automatic payments
b: Banks make many mistakes while processing these types of withdrawals
c: It is convenient
d: Automatic payment plans can be set up in a matter of minutes. But stopping them can be much more difficult. Sometimes you have to notify your bank and your merchant, and you may even need to do it in writing.
e: It is very expensive to enroll into automatic bill payment.
f: Once you enroll into automatic bill payment, you have to authorize direct deposits to your account on regular basis.
Answer:
b c d
Step-by-step explanation:
The statements b c d is true about the direct payments.
We have given that statement,
a: It can be easy to forget what gets paid each month and when and make sure you have enough money in your checking account to cover automatic payments
b: Banks make many mistakes while processing these types of withdrawals
c: It is convenient
d: Automatic payment plans can be set up in a matter of minutes. But stopping them can be much more difficult. Sometimes you have to notify your bank and your merchant, and you may even need to do it in writing.
e: It is very expensive to enroll in automatic bill payments.
f: Once you enroll in automatic bill payment, you have to authorize direct deposits to your account on regular basis.
What are the direct payments?Direct payments are local Health and Social Care (HSC) Trust payments for people who have been assessed as needing help from social services. And, who would like to arrange and pay for their own care and support service instead of receiving them directly from the local trust.
Therefore the statements b c d is true about the direct payments.
To learn more about direct payments visit:
https://brainly.com/question/2172796
#SPJ2
solve 9x-2y=11 for y
Answer:
y=9/2x-11/2
Step-by-step explanation:
-2y=11-9x
y=11-9x/-2
y=9/2x-11/2
Answer:
y= 9/2x - 11/2
or
y=4.5x -5.5
Step-by-step explanation:
To solve for y, we must get y by itself on one side of the equation.
9x-2y=11
9x is being added to 2y. The inverse of addition is subtraction. Subtract 9x from both sides.
9x-9x -2y= 11-9x
-2y= 11-9x
y is being multiplied by -2. The inverse of multiplication is division. Divide both sides by -2.
-2y-/2= 11-9x/-2
y= 11/-2 - 9x/-2
y=- 11/2 +9/2 x
or
y= -5.5 +4.5 x
Reorder the terms.
y= 9/2x - 11/2
or
y=4.5x -5.5
The size of the interior angle of a regular decagon...Need an answer ASAP
Answer:
144
Step-by-step explanation:
x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees
Step-by-step explanation:
The exterior angle of a regular n-sided polygon is given by
Exterior angle = 360/n
The interior angle is therefore the supplement of the exterior angle,
Interior angle = 180 - 360/n
for n=10, decagon,
Interior angle of a decagon = 180 - 360/10 = 180-36 = 144 degrees
What is 1 plus 2 plus 3.... plus 200?
Answer:
20100
Step-by-step explanation:
There are 200 numbers in this addition problem. To add this, we can do 1 + 200, 2 + 199, 3 + 198 and so on. All of these pairs have a sum of 201 and since there are 200 / 2 = 100 pairs the answer is 201 * 100 = 20100.
Answer: 206
Step-by-step explanation:
[tex]5x^{2} - 15x-4=0[/tex]
completing the square
Answer:
x = 3/2 ± √(61/20)Step-by-step explanation:
5x² - 15x - 4 = 0
Add 4 to both sides.
5x² - 15x = 4
The coefficient of 5x² is 5, divide both sides by 5.
x² - 3x = 4/5
The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides.
x² - 3x + 9/4 = 61/20
Factor left side.
(x-3/2)² = 61/20
Take square root of both sides.
x-3/2 = ± √(61/20)
Add 3/2 to both sides.
x = 3/2 ± √(61/20)
Help me cuh what are the period and vertical shift of the cosecant function below?
Answer:
Period: 2pi vertical shift: 2 units up
Step-by-step explanation:
Answer:
D. period: 4pi; vertical shift: 2 units up
Step-by-step explanation:
Just did the test right now hope this helps some of yall :)
Find : 5/22 + 3/7 + (-8/21) + (-6/11)
Answer:
-125/462.
Step-by-step explanation:
5/22 + 3/7 + (-8/21) + (-6/11)
= 5/22 - 6/11 + 3/7 - 8/21 The LCM of 11 and 22 is 22 and of 7 & 21= 21:
= 5/22 - 12/22 + 9/21 - 8/21
= 1/21 - 7/22 The LCM of 21 and 22 is 462:
= 22/462 - 147/462
= -125/462.
a:b=7.2 how many times larger is a than b?
Answer:
A = 3.5x larger
Step-by-step explanation:
7 ÷ 2 = 3.5
Hope this helped! :)
Answer:
a is 3.5 times larger than b
Step-by-step explanation:
If a:b is 7:2 and 7/2 = 3.5, then a is 3.5 times larger than b
A trapezoid has a base length of 22 cm and a mid-segment length of 23 cm. What is the length of the other
base?
24 cm
26 cm
22 cm
28 cm
Answer:
24 cm
Step-by-step explanation:
Let the length of other base be x cm
Therefore, by mid segment formula of a trapezoid, we have:
[tex]23 = \frac{1}{2} (x + 22) \\ \\ 23 \times 2 = x + 22 \\ 46 = x + 22 \\ 46 - 22 = x \\ x = 24 \: cm[/tex]
What is the slope of the line shown below?
Answer:1/2
Step-by-step explanation:
8-2/5--7
6/12
1/2
hope i helped
can i have brainliest pls? (desperately trying to level up)
-Zylynn
The sum of digits in two-digit number is 13. If the place values of the digits are reversed, the new number is 27 more than the original number. Find the original number.
Answer: 58
Step-by-step explanation:
The sum of the two digit number is 13. On reversing its digits the new number is 27 more than the original number find the number?
Let's set up a system with two variables: x = tens place of our answer, y = units place of our answer.
Digit sum of a two digit number is 6:
x+y=13
Reverse the digits and you get 27 more than the original value:
10y+x=10x+y+27
Now let's solve:
y=13-x
10(13-x)+x=10x+(13-x)+27
130-10x+x=130x-10x + 27
130-9x=9x+40
-90=18x
x=5
y=13-5
y=8
So our original number was 58. Sum of digits is 13. Swap the order of the digits to make 85, and you have a number 27 more than the original number.
The value of original number is, 58.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sum of digits in two-digit number is 13.
And, If the place values of the digits are reversed, the new number is 27 more than the original number.
Now, Let the one's place digit is y and the ten's place is x of the original number.
Then, We get;
⇒ x + y = 13 .. (i)
And, If the place values of the digits are reversed, the new number is 27 more than the original number.
So, We get;
⇒ 10y + x = 27 + 10x + y
⇒ 10y - y + x - 10x = 27
⇒ 9y - 9x = 27
⇒ y - x = 3
⇒ y = x + 3 ... (ii)
Substitute the value of y from (ii) in (i), we get;
⇒ x + y = 13
⇒ x + x + 3 = 13
⇒ 2x = 13 - 3
⇒ 2x= 10
⇒ x = 5
And, From (ii);
⇒ y = x + 3
⇒ y = 5 + 3
⇒ y = 8
Thus, The original number is,
⇒ 10x + y = 10 × 5 + 8
= 50 + 8
= 58
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
a mortor-boat whose speed is 30km/hr in water goes 30km downstream and comes back in a total time of 4hrs 30 minutes find the speed of the stream.
Answer:
The speed of the stream is 22.36 km/h.
Step-by-step explanation:
The course of the boat contains two stages of equal length. On the first one he is going downstream, so its resultant speed is "30 + x" km/h, where "x" is the speed of the stream. On the other hand for the second part of the course he is going against the stream, so the resultant speed is " 30 - x" km/h. The time of each course must be:
[tex]t_1 = \frac{30}{30 + x}[/tex]
[tex]t_2 = \frac{30}{30 - x}[/tex]
The sum of these times must be equal to the total time of the course, therefore:
[tex]t_1 + t_2 = 4.5\\\frac{30}{30 + x} + \frac{30}{30 - x} = 4.5\\\frac{30*(30 - x) + 30*(30 + x)}{(30 + x)(30 - x)} = 4.5\\900 - 30*x + 900 + 30*x = 4.5*(900 - x^2)\\4050 - 4.5*x^2 = 1800\\4.5*x^2 = 4050 - 1800\\4.5*x^2 = 2250\\x^2 = \frac{2250}{4.5}\\x^2 = 500\\x = 22.36[/tex]
The speed of the stream is 22.36 km/h.
HELP PLEASEEE 9th Grade Geometry
Step-by-step explanation:
AD ≅ BC, Given
∠BCD ≅ ∠ADC, Given
CD ≅ CD, Reflexive property
ΔBCD ≅ ΔADC, SAS congruence
∠BDC ≅ ∠ACD, CPCTC
ΔECD is an isosceles triangle, definition of isosceles
DE ≅ CE, properties of isosceles triangles
1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0 What does a equal?
Answer:
a = -50/51
Step-by-step explanation:
1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0
1 + 3 + 5 + ... + 99 + 2a + 4a + ... + 98a + 100a = 0 Eq. 1
99 + 97 + 95 + ... + 1 + 98a + 96a + ... + 4a + 2a = 0 Eq. 2
Add Eq. 1 and Eq. 2
100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0
50(100)/2 + 50(102a)/2 = 0
2500 + 2550a = 0
2550a = -2500
a = -2500/2550
a = -250/255
a = -50/51
I need help on this problem plz
Answer:
needddd
Step-by-step explanation:
Can Someone answer this ASAP
Answer:
exponential, base 3
Step-by-step explanation:
It is an exponential function, and the base is 3
If Manuel does a job in 150 hours and with the help of Shantel they can do it together in 50 hours, how long would it take Shantel to do it alone? _______ hours
: An Australian man on holiday in Germany finds that his wallet
contains 700 AUD. If he changes the money at a bank how
many euros will he receive?
Answer:
700 AUD ⇒ 430.72 euros
Hope this helps.
1
NI
16
Which of the following is equivalent to
?
8
12
64
Answer:
16 is equivalent to 8 12 and 64
Step-by-step explanation:
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. (4 points) Part B: Make tables to find the solution to 2−x = 4x + 3. Take the integer values of x only between −3 and 3. (4 points) Part C: How can you solve the equation 2−x = 4x + 3 graphically? (2 points) PLez Answer 50 points
Answer:
Step-by-step explanation:
Part A:
We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:
2 - x = 4x + 3
Part B:
In order to solve the equation we need to put the like terms together. So we will add x on each side.
2 - x = 4x + 3
+x +x
So now we get:
2 = 5x + 3
Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.
2 = 5x + 3
-3 -3
So now we get:
-1 = 5x
Now that the like terms have been combined we need to find out what x alone is so we divide 5 on each side:
[tex]\frac{-1}{5}[/tex] = [tex]\frac{5x}{5}[/tex]
No we see that:
x = [tex]-\frac{1}{5}[/tex]
A child’s pool is in the shape of a rectangular prism with a height of 2 ft and a base that is 4 ft wide by 5 ft long. During the course of the summer, the child’s pool needed to be filled 3 times. How many cubic feet of water were needed to fill the pool during the summer? 40 ft³ 80 ft³ 120 ft³ 160 ft³
Answer:
The answer is 120 cubic feet of water
Step-by-step explanation:
Step 1: Calculate the area of the pool;
(l)(w)(h)= 5(4)(2). That equals 20 times 2 which is 40
Step 2: Multiply the area by 3
This is because It was filled three times
40*3 = 120
Answer:
C. 120
Step-by-step explanation:
v=3(2)(4)(5)
=120
Tanya has a garden with a trench around it. The garden is a rectangle with length 2.5m and width 2m. The trench and the garden together make a rectangle with length 3.5m and width 3m. Find the area of just the trench
Answer:
5.5m^2
the area of just the trench is 5.5 m^2
Step-by-step explanation:
The Area of trench only is the total area(trench and garden) minus the Area of garden
Area of trench only = total area(trench and garden) - Area of garden
Area = length × breadth
Substituting the given dimensions;
Total area = 3.5 × 3 = 10.5 m^2
Area of garden = 2.5×2 = 5 m^2
Area of trench only = 10.5 m^2 - 5 m^2
Area of trench only = 5.5m^2
the area of just the trench is 5.5 m^2
Answer:
5 1/5
Step-by-step explanation:
Does the graph represent a function?
Answer: Not a Function
Step-by-step explanation: For a function, each x term
must correspond to exactly one y term.
We can use the vertical line test to determine whether
or not that holds true for the graph shown here.
If each x term corresponds to exactly one y term, then any vertical line
that we draw on the graph should hit the graph at only one point.
Notice below that many of the vertical lines that we draw
on this graph will hit the graph at more than one point.
Thus, we can conclude that no, the graph shown here is not a function.
question 24 PLEASE HELP Write the equation 22x-2y=-12 in slope-intercept form
Answer:
y=11x+6
Step-by-step explanation:
Simplify: 22x-2y=-12
22x-2y=-12
-22x
-2y=-22x=-12
/-2
y=11x-6
Given the equation 2x² - 5x + 7 = 0. Find the discriminant. Describe the roots and explain your reasoning.
Answer:
The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary.
Read more on Brainly.com - https://brainly.com/question/4221167#readmore
Step-by-step explanation:
Answer:
The discriminant is -31.
Step-by-step explanation:
The discriminant of an equation is b^2 - 4ac. In this case, a = 2, b = -5, and c = 7.
(-5)^2 - (4 * 2 * 7) = 25 - (8 * 7) = 25 - 56 = -31. Because the discriminant is negative, it is less than 0. That means that there is no real solution.
Hope this helps!
Perform the indicated operation (25m2 - 20m + 4) ÷ (5m - 2)
Hey there! :)
Answer:
5m - 2.
Step-by-step explanation:
We can use long division to divide the two expressions:
5m - 2
5m - 2 | 25m² - 20m + 4
25m² - 10m
-
0m² - 10m + 4
-10m + 4
-
0
The quotient of this operation is 5m - 2.
Help please on linear math
Answer:
D
Step-by-step explanation:
[tex]y=\frac{-9x-5}{-8}[/tex]
factoring out a negative[tex]y=\frac{9x+5}{8}[/tex]
Answer:
[tex] \frac{5}{8} [/tex]Option D is the correct option.
Step-by-step explanation:
Given that
9x - 8y = 0
finding y-intercept
put x = 0 , we get
9(0) - 8y + 5 = 0
Calculate the product
-8y + 5 = 0
Move the constant to L.H.S and change its sign
-8y = 0 - 5
Calculate the difference
-8y = -5
divide both sides of the equation by -8
-8y/-8 = -5/-8
Calculate
y = 5/8
Hope this helps...
Good luck on your assignment...
5. A tin has a square base whose sides measures 32cm. the vertical sides are 50cm high. Cake mixture is
poured into the tin and leveled off at the 38cm mark above the base.
Find:
i. Surface area of the tin
(3mks)
Answer:
Tin with open top = 7424 sq.cm.
Tin with a closed top = 8448 sq. cm.
Step-by-step explanation:
Assuming the tin is open at the top.
The outside surface area of the tin is not dependent on the level of cake mixture.
Base area = 32^2 sq. cm = 1024 sq.cm
4 sides faces, each of
side area = 32*50 = 1600 sq. cm.
Total surface area of tin (excluding top)
= base area + 4 side area
= 1024 + 4*1600 sq. cm
=7424 sq. cm.
If there is a cover and the area is to be included,
total surface area including cover
= base area + top area + side areas
= 1024 + 4*1600 + 1024 sq.cm
= 8448 sq. cm.