Let us assume x and y are the two digits of the number.
Therefore, two-digit number is = 10x + y and the reversed number = 10y + x
Given:
x + y = 12
y = 12 – x -----------1
Also given:
10y + x - 10x – y = 18
9y – 9x = 18
y – x = 2 -------------2
Substitute the value of y from eqn 1 in eqn 2
12 – x – x = 2
12 – 2x = 2
2x = 10
x = 5
Therefore, y = 12 – x = 12 – 5 = 7
Therefore, the two-digit number is 10x + y = (10*5) + 7 = 57
Can you mark me brainliest? Thank you and be safe! :D
-Eli
Hmmm pretty sure it is 57, after doing the math.
What is the appropriate symbol? 1.42 _____ 1.420 = < >
Answer:
=
Step-by-step explanation:
1.42 is equal to 1.420. The 0 adds no value since it is after the decimal point so 1.420 is just 1.42, which is equal to itself, 1.42.
Answer:
=
Step-by-step explanation:
When you are looking at decimals, specifically on the right side of the decimal point, the amount of 0's after the last given non-0 digit can be disregarded.
1.420 is the same as 1.42
With this given information:
1.42 ____ 1.420
1.42 ____ 1.42
1.42 = 1.42
= would be your sign.
~
The right triangular prism has a volume of 1,152 cm3. A right triangular prism has a volume of 1,152 centimeters cubed. The triangular bases have 2 sides with lengths of 12 centimeters. The hypotenuse length is not given. The height of the prism is x centimeters. What is the value of x, the height of the prism? 6 8 12 16
Answer:
16 cm
Step-by-step explanation:
A "right" prism is one that has the planes of the lateral faces perpendicular to the plane of the base. Here, we assume your "right triangular prism" is one that has a right triangle as a base, because you mention the "hypotenuse."
The area of the base is ...
A = (1/2)bh = (1/2)(12 cm)(12 cm) = 72 cm²
The volume of the prism is ...
V = Bh . . . . where B represents the area of the base
Filling in the numbers, we have ...
1152 cm³ = 72 cm²×h
h = (1152/72) cm = 16 cm
The height of the prism is 16 cm.
Answer:
16 cm
Step-by-step explanation:
If two lines meet at a right angle they are said to be _________ to each other.
Answer: perpendicular
Answer:
perpendicular
Step-by-step explanation:
If two lines meet at a right angle they are said to be perpendicular to each other.
Two lines are perpendicular when they intersect at a right angle.
g(x) = x2 + 2x - x - 2
Hope this image helps you :)
The volume of a cone with a height of 6 cm is 8 pi cubic centimeters. Which expression can be used to find r, the radius of the base of the cone? 6 = one-third pi (r squared) (8 pi) 8 pi = one-third pi (r) (6 squared) 6 = one-third (pi r)(8 pi) 8 pi = one-third pi (r squared) (6)
Answer:
last option is correct
Step-by-step explanation:
Mathematically, we can write the volume of a cone as;
V = 1/3 * pi * r^2 * h
From the question, V is 8 pi cm^3 while h is 6cm
Thus, substituting these values into the equation, we have;
8pi = 1/3 * pi * r^2 * 6
The last option is the correct answer that tallies with the above
Answer:
8 pi = one-third pi (r squared) (6)
its d
Step-by-step explanation:
i will give best answer a right rectangular prism is shown What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
Answer:
parallelogram
Step-by-step explanation:
Answer:
parallelogram
Step-by-step explanation:
did the test
Can someone explain how to do this?
Answer:
Step-by-step explanation:
You have to make a table. Do this by taking each of the x values you see there and plug in for x into the equation and solve for y. Then plot the points.
x| -1 | -2 | -3 | -4 | -5 |
y|
We will plug each x value in, do the math, and come up with y. The first x value is -1:
[tex]y=(-1)^2+6(-1)+10[/tex]. Do the math on that and you should get that y = 5. So one coordinate on this graph is (-1, 5).
At x = -2:
[tex]y=(-2)^2+6(-2)+10[/tex]. Do the math on that and you should get that y = 2. Another coordinate on this graph is (-2, 2).
At x = -3:
[tex]y=(-3)^2+6(-3)+10[/tex]. Do the math on that and you should get that y = 1. A third coordinate on this graph is (-3, 1).
At x = -4:
[tex]y=(-4)^2+6(-4)+10[/tex]. Do the math on that and you should get that y = 2. A fourth coordinate on this graph is (-4, 2).
At x = -5:
[tex]y=(-5)^2+6(-5)+10[/tex]. Do the math on that and you should get that y = 5. A fifth point on that graph is (-5, 5).
Plot all those points and connect the dots. This is a parabola-shaped graph because your equation is a second degree (quadratic).
Five thousand tickets are sold atâ $1 each for a charity raffle. tickets are to be drawn at random and monetary prizes awarded asâ follows: 1 prize of â$500â, 3 prizes of â$300â, 5 prizes of â$30â, and 20 prizes ofâ $5. what is the expected value of this raffle if you buy 1â ticket?
Answer:
-$0.67
Step-by-step explanation:
If you buy one ticket, the possible outcomes are:
100% chance of spending $1 (buying the ticket)
1 in 5,000 chance of winning $500
3 in 5,000 chance of winning $300
5 in 5,000 chance of winning $30
20 in 5,000 chance of winning $5.
The expected value of the raffle is determined by:
[tex]E(X)=-1+\frac{1}{5,000}*500+\frac{3}{5,000}*300+\frac{5}{5,000}*30+\frac{20}{5,000}*5\\E(X)=-\$0.67[/tex]
The expected value of this raffle if you buy 1 ticket is -$0.67.
The nth term of a sequence is n(n - 1).
What are the first four terms?
What is the 50th term?
Is 59 a term in the sequence?
Which term is 182?
The ______ th term
Answer:
T1=0
T2=2
T3=6
T4=12
T50=2450
59 is not a term in the sequence
Step-by-step explanation:
Tn=n(n-1)
182=n2 - n
0=n2 - n - 182
0=n2-14n+13n-182
0=n(n-14)+13(n-14)
0=(n-14) (n+13)
Since n cannot be negative n is not equal to -13
Therefore,
n=14
Lara's living room is 9 meters wide and 9 meters long. She wants to install purple carpet that costs $8.00 per square meter. How much will it cost to buy enough carpet for the living room?
Answer:
$648.00
Step-by-step explanation:
==>Given:
Squared living room of 9m by 9m
Cost of purple carpet per m² = $8.00
==>Required:
Cost of buying carpet to cover the squared living room
==>Solution:
Find the area of the room:
Area of squared room = 9m × 9m = 81m²
Find cost of purple carpet that would cover 81m²:
Let x be the cost of carpet required to cover the room.
Thus,
1m² = $8.00
81m² = x
cross multiply
1*x = 8.00*81
x = 648
Cost of purple carpet to cover the living room = x = $648.00
can someone please help me understand this
Answer:
No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
Given a function where x represents an input of a particular value, which gives an output for that particular value inputted as defined by the function, if the function is true and valid, a particular value of input should not give us different values of output.
Thus, from the table given, at x = 5, we have y = 3.
Also, at x = 5, we have y = 2.
Here, one x-value is given us two different y-values. This is not true if a function. We cannot regard the table given as representing a function.
Therefore, the answer is:
No, because one x-value corresponds to two different y-values.
A cylinder has a diameter of 18 inches and a volume of 405/2π cubic inches. What is the height, in inches, of the cylinder? Enter the height in decimal form rounded to the nearest tenth.
Answer:
Step-by-step explanation:
diameter = 18 inches
radius = r = 18/2 = 9 in
Volume of cylinder = 405π/2
[tex]\pi r^{2}h = \frac{405}{2}\pi \\\\\\\pi * 9 * 9* h =\frac{405}{2}\pi \\\\\\h =\frac{405}{2*9*9*\pi }*\pi \\\\\\h=\frac{5}{2}[/tex]
h = 2.5 inches
. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores pastel, al realizar la revisión de su paleta de pintura, este artista cuenta con siete colores fluorescentes y cinco colores pastel. De lo anterior se puede indicar que la cantidad de maneras en que puede realizar la pintura como lo desea es *
A. 305.
B. 350.
C. 405.
D. 450
Answer: B. 350.
Step-by-step explanation:
Given: Total number of fluorescent colors = 7
Total number of pastel colors = 5
Since , he want three fluorescent colors and two pastel colors.
Number of ways to select r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Number of ways to choose colors = [tex]^7C_3\times\ ^5C_2[/tex]
[tex]=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350[/tex]
Hence, the correct option is B. 350.
solve (-t-5)/3= (t-3)/5
Answer & Step-by-step explanation:
[tex]\frac{-t-5}{3}=\frac{t-3}{5}[/tex]
Cross multiply.
[tex]-5t-25=3t-9[/tex]
Subtract -3 on both sides.
[tex]-8t-25=-9[/tex]
Add 25 on both sides.
[tex]-8t=16[/tex]
Divide -8 on both sides.
[tex]t=-2[/tex]
Bill is 5 years older than Sue is, and the sum of their ages is 67 years. How old is Bill ?
Answer:
36
Step-by-step explanation:
x+5=y x - Sue age and y - Bill age
x+y=67
---------
x+x+5=67
2x=62
x=31 - Sue age
---------
y=31+5
y=36 - Bill age
Answer:
Bill is 36 years old
Step-by-step explanation:
Let Bill's age be "B" and Sue's age be "S"
Given that Bill is 5 years older than Sue, we can reason that the difference between Bill's and Sue's age must be 5 years, or:
B - S = 5 -----(eq 1)
We are also given that the sum of their ages is 67, or:
B + S = 67 -----(eq 2)
We can solve this system of equations via elimination (by adding the two equations).
(eq 1 ) + (eq2)
(B - S) + (B + S) = 5 + 67
2B = 72
B = 72/2
B = 36 years old
Which of the following equations is graphed below?
Answer: 3rd answer choice
Step-by-step explanation:
Answer: 4th answer choice
Step-by-step explanation:
I need help with this question please help
NEED ANSWER IN 2 MINUTES!
Answer: 11
Step-by-step explanation:
The stem is the 10s place and leaf is the ones
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option. Part B: Graph each equation on the same set of axes and compare. Under what conditions is each purchasing option the best choice? Be sure to provide a thorough answer. Use detailed information from your graph to back up your choices.
Answer:
y=250x+4000y=400x+400Step-by-step explanation:
Given that:
x represents the number of months of ownership; and y represents the total paid for the car after ‘x' months.First Option (Leasing)
250x - y + 4000 = 0
Expressing the equation in the Slope-Intercept Form y=mx+b, we have:
y=250x+4000
Second Option (Financing)
$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
First, we determine the slope of the line joining (0,400) and (10,4400)
[tex]Slope, m= \dfrac{4400-400}{10-0}= \dfrac{4000}{10}=400[/tex]
We have:
y=400x+b
When y=400, x=0
400=400(0)+b
b=400
Therefore, the Slope-Intercept Form of the second option is:
y=400x+400
Significance
In the first option, there is a down payment of $4000 and a monthly payment of $250.In the second option, there is a down payment of $400 and a monthly payment of $400.Part B
We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.
i.e
When x=0, y=$4000 for leasingWhen x=0, y=$400 for financingThe admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 390 people entered the park, and the admission fees collected totaled $10650. How many children and how many adults were admitted? NUMBER OF CHILDREN= ? NUMBER OF ADULTS= ?
Answer:
Children = 200
Adults = 190
Step-by-step explanation:
Children = x
Adults = y
x + y = 390
x = 390 - y..............(1)
20x + 35y = 10650
Substituting
20(390-y) + 35y = 10650
y = 190
x = 390 - 190 = 200
Answer:
Step-by-step explanation:
Number of children = c
Number of adults = a
Total people = 390
a + c = 390 ------------------ (I)
Admission fee for 'c' children = 20 * c = 20c
Admission fee for 'a' adult = 35 * a = 35a
Total amount = $ 10650
35a + 20c = 10650 -------------(II)
Multiply equation (I) by (-20)
(I)*(-20) -20a - 20c = - 7800
(II) 35a + 20c = 10650 { Now add and so 'c' will be eliminated}
15a = 2850
a = 2850/15
a = 190
Plug in a = 190 in equation (I)
190 + c = 390
c = 390 - 190
c = 200
Number of children = 200
Number of adults = 190
WHAT IS THE TRUE SIMILARITY STATEMENT
Answer:
Option 2
Step-by-step explanation:
ΔPQR - ΔSTR
Because
∠S ≅ ∠P
∠T ≅ ∠Q
∠R ≅ ∠R
I hope this helps you
Find the area of the shaded triangle.
Answer:
7.5
Step-by-step explanation:
The area of a triangle is found by the formula A=1/2bh, where b is the base length, and h is the height. If we count the squares, we can find that the base length of the triangle is 3 units, and the height is 5 units. If we plug those numbers into the equation to get A=1/2*3*5, we can solve to get A=7.5
Help please thank you so much
Answer:
it is a function because it doesn't have two x coordinates at the same y coordinate.
help I don’t understand this
Answer: 90 degrees
Step-by-step explanation: Each of these angles are at 90 degrees since there is a square box at each of their second points.
the movie is 2 hours and 15 minutes long if the movie begins at 5:30 what time will it be when the movie is over
Answer:
7:45
Step-by-step explanation:
2 hours and 15 minutes can also be written as
2:15
if the movie takes 2:15 long and begins at 5:30, add both which is. 5:30+2:15
=7:45
therefore the movie ended at 7 hours and 30 minutes which can also be written as7:45
Explain the significance of the equation 100x -2y+ 400 = 0 which represents the hourly cost of a car repair.
Answer: The significance is that it is how much you will pay for the total repair which will help you know how much money you will spend.
Step-by-step explanation:
Which of the following is the graph of y= log3(x + 2)?
PLEASE ANSWER
Answer:
Correct answer option A.
Step-by-step explanation:
We need to figure out the graph of
[tex]y= log_3(x + 2)[/tex]
First of all, let us discuss graph of:
[tex]y=log_3x[/tex]
Putting x = 1 :[tex]y=log_31 = 0[/tex] ([tex]\because[/tex] log of 1 is always 0 irrespective of the base)
i.e. point (1, 0) lies on the graph.
And when we put x = 1, the log function tends to -[tex]\infty[/tex].i.e. [tex]x\rightarrow 1 \Rightarrow y\rightarrow -\infty[/tex]
Putting x = 3[tex]y =log_33 = 1[/tex] i.e. point (3, 1) lies on the graph
Graph of logarithmic function is always increasing.
Now, let us consider the graph of [tex]y= log_3(x + 2)[/tex]
Putting x = -1, [tex]y= log_3(-1 + 2) = log_31 = 0[/tex] So, the point that lies on graph is (-1, 0)Putting x = 1, [tex]y= log_3(1 + 2) = log_33 = 1[/tex] So, the point that lies on graph is (1,1).Putting x = -2, [tex]y= log_3(-2 + 2) = log_30 \rightarrow -\infty[/tex]Please refer to attached graph as well.
Correct answer option A.
The correct option is A, just got it right (:
What is the measure of Angle c? 3 lines intersect to form 5 angles. Clockwise, from top left, the angles are b, 90 degrees, c, 124 degrees, a.
Answer:
c
Step-by-step explanation:
Answer:the answer is 90
Step-by-step explanation:
Which represents the reflection of f(x) = x over the y-axis?
х
-1
0
1
4
f(x)
undefined
0
1
2
f(x)
х
-1
0
1
1
0
-1
-2
4
Answer:
Graph having x ≤ 0
Step-by-step explanation:
f(x) = [tex]\sqrt{(-x)}[/tex]
Given function 'f' when reflected across the y--axis,
Translated form of the parent function will be,
g(x) = [tex]\sqrt{(-x)}[/tex]
Table for the input-output values for this function will be,
x g(x)
-1 1
0 0
1 undefined
4 undefined
Table shows that the given function is undefined for x > 0
Domain of g(x) will be (-∞, 0],
Therefore, graph having values of x ≤ 0 will be the answer.
Answer:
I think its D on edge!
Step-by-step explanation:
Pleaseeeeeee. Helpppppppppppp meeeeeeeeeeee
Answer:
first tower needs 4
second needs 3
third needs 2
and the fourth needs 1
Total needed triangles for all is 10
Step-by-step explanation: