Answer:
original number = 53
Step-by-step explanation:
In two digits number:
Let the tens place digit be x and units place digit be y.
So,
Original number = 10x + y
Number obtained after reversing the digits = 10y + x
According to the first condition:
x + y = 8.... (1)
According to the second condition:
10y + x = 10x + y - 18
10y + x - 10x - y = - 18
9y - 9x = - 18
-9(x - y) = - 18
x - y = - 18/(-9)
x - y = 2.......(2)
Adding equations (1) & (2), we find
x + y + x - y = 8 + 2
2x = 10
x = 10/2
x = 5
Plug x = 5 in equation (1), we find:
5 + y = 8
y = 8 - 5
y = 3
10x + y = 10*5 +3 = 50 + 3 = 53
Hence, original number = 53
find the product 3/8 x 2 help plz
Answer:
3/4
Step-by-step explanation:
hope this helps. I have to wrote this random think so it can be 20 characters hope this helps enjoy
Kevin Chamberlin?...........
Answer:
Yeah thats weird
Step-by-step explanation:
Identify the slope and y intercept of the function y=4x-9
Tania bought 9.6 gallons of gas for $27.36. Find an equation that can be used to determine x, the price of each gallon of
gas? What is the price of each gallon of gas? Show work.
Answer:
9.6(x)= 27.36 27.36÷9.6=x x=2.85
I really need help with my question
answer :
z=11
y=13
will be ur answers
Find the size of angle XYZ. Give your answer to 1 decimal place.
Answer:
45
Step-by-step explanation:
Because this is a triangle all angles must add up to 180. so we already know 90 so 180-90=90 and 90/2 = 45. Hope this helps
Step-by-step explanation:
1. Label each side of the Triangle
Using the SOH CAH TOA method we can label zy as H (the longest line is always H). We can label xz as O (it is opposite the angle). We can label xy as A (it's the remaining side).
2. Cross out the 'useless' side
Now, we need to cross out the label which doesn't have an appointed piece of information to it. Meaning that A will remain as it labels 7cm. H will also remain as it labels the angle. O does not label anything and so we can cross it out.
3. Decide which method is correct
We are using the SOH CAH TOA method, this means we can either use SOH, CAH, or TOA to solve the problem. We know which method to use by seeing which of them does not contain the letter we crossed out. CAH does not contain O so it is the correct method.
4. Know the formula
Now we will use the formula of our found method. CAH begins with C and so does Cos. Therefore, Cos is our formula.
Cos( ) = A/H
5. Substitute in your numbers
Then, we will put in our numbers into the formula. The first slot we must fill in is within the brackets. Usually the angle goes inside of the brackets during trigonometry but we obviously do not know it. This means we will use 'x' inside of the brackets. Our formula now looks like this:
Cos(x)
Substitute in A and H. A will be the information appointed to the side we labelled A. H will be the information appointed to the side we labelled H.
Our formula will look like this:
Cos(x) = 7/12
6. Reverse it and calculate
Now we need to input an equation into our calculator. I don't know why but we will need to reverse our previous formula and type it into the calculator as:
cos-^1(7/12)
The result should say 54.31466529.
7. Round
Now we will round it by 1 decimal place. To do this we need to look at the number next to 3, it is not 5 or above 5. This means we will not round up,
our answer is 54.3 degrees.
What should I know before precalculus?
please mark me brainliest and whoever marks me right down your name and I will mark you back
Answer:
hope it helps
Step-by-step explanation:
You'll be doing a lot of graphing, quadratic equations, polynomial equations, trig graphs and inverse graphs to name a few things so make sure you're good with algebra, geometry, and trigonometry. Trig identities and algebra skills
PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST
For a certain value of k, the system
x + y + 3z = 10,
-4x + 3y + 5z = 7,
kx + z = 3
has no solutions. What is this value of k?
Answer:
k = 7/4Step-by-step explanation:
Given system:
x + y + 3z = 10, -4x + 3y + 5z = 7, kx + z = 3Substitute z in the first two equations with z = 3 - kx:
x + y + 3(3 - kx) = 10 ⇒ (1 - 3k)x + y = 1 ⇒ y = (3k - 1)x + 1-4x + 3y +5(3 - kx) = 7 ⇒ -(4 + 5k)x + 3y = -8 ⇒ y = 1/3(5k + 4) - 8In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.
Solve the following equation for k:
3k - 1 = 1/3(5k + 4)9k - 3 = 5k + 44k = 7k = 7/4Todd had 6 gallons of gasoline in his motorbike. After driving 150 miles, he had 3 gallons left. Compute the slope, or rate of change in the amount of gasoline.
The rate of change is __ miles per gallon.
Answer:
50 miles per gallon, 50/1
Step-by-step explanation:
help pls what is the area of this shape?
Answer:
I think 15 I dont see it in the options but im going to explain my answer
Step-by-step explanation:
4 + 4 = 8, 13 - 8 = 5 x 6 = 30 divided by 2 is 15
SO 8 x 13 = 104 - 15 = 89 so therefore its 89!
A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?
The length of one side of a triangle is 3 feet less than twice the length of its second side. The third side is 2/3 of the sum of the lengths of the first 3 sides. Find the length of all three sides if the perimeter is 6.5
Answer:
side 1: 1.6
side 2: 2.3
side 3: 2.6
Step-by-step explanation:
side 1: 2x - 3
side 2: x
side 3: 2/3(x + 2x - 3) = 2x-2
(2x - 3) + x + (2x - 2) = 6.5
5x - 5 = 6.5
5x = 11.5
x = 2.3
side 1: 1.6
side 2: 2.3
side 3: 2.6
Arithmetic mean of nine observations is calculated as 38. But in doing so, mistakenlythe observation 27 is taken instead of 72. Find the actual mean of the data.
Answer:
Actual Mean = 43
Step-by-step explanation:
Given Mean = 38
No of observations = 9
we know,
Mean = Sum / N
38 = Sum/ 9
Sum = 38 x 9 = 342
Since the observation 27 was mistakenly taken instead of 72, we subtract 27 from the sum and add 72.
New sum = 342 - 27 = 315 again, 315 + 72 = 387
The no. of observations stays the same.
Actual mean = New Sum / N
= 387/9
=43
Step-by-step explanation:
arithmetic mean =38
n=9
mean=sum/n
sum=mean×n=38×9=342
mistakenly observation 27 is taken instead of 72
new sum becomes =342+72-27=387
now
new mean =new sum/n=387/9=43
the actual mean of the data is 43.
A corporation reported cash of $26,200, total assets of $457,000, and total equity of $156,630 on its balance sheet. Its common-size percent for cash equals:
Answer:
Common-size percent for cash = 5.73 % (Approx.)
Step-by-step explanation:
Given:
Total cash = $26,200
Total assets = $457,000
Total equity = $156,630
Find:
Common-size percent for cash
Computation:
Common-size percent for cash = [Total cash/Total assets]100
Common-size percent for cash = [26,200/457,000]100
Common-size percent for cash = 5.73 % (Approx.)
Kaitlyn buys books from a book club. She calculates the total cost, in
dollars, of each order using the formula 15b + 5. In her formula, b
represents the number of books she orders.
a) What is the total cost of ordering four books?
b) What is the total cost of ordering two books?
c) What is the total cost of ordering one book?
Answer:
c=what is the total cost of ordering one book..
Step-by-step explanation:
Given function:
15b+5What this means:
15b+5 means that 15+5..b=1 for 15+15so if the cost of the book is 15 dollars it adds 5 since you brought that book or for other reasons.15+5=1 book and b represents it.Therefore, b=the total cost of ordering one book..
A $329.50 gaming system goes on sale for 60% off. You have a coupon for an additional 40%
off the sale price. Does this mean you will get the gaming system for free? Why or why not?
Answer:
no
Step-by-step explanation:
no because if you multiply $329.50 by .6 you get $197.7, then with the additional 40% (.4) you end up having to pay $79.08
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)
Answer:
(1, 2)
Step-by-step explanation:
Use the midpoint formula
x1 + x2 / 2 , y1 + y2 / 2
-2 + 4 / 2 , -2 + 6 / 2 =
( 1, 2 )
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
-73
Step-by-step explanation:
if f is 73
and they made f negative, they just made 73 negative too.
i don't know if there is more in that expression
all i can see is
-f=___
i'm a little bit confused about this question.
Answer:
4
Step-by-step explanation:
I was training the cross country team. Every week I expected the students to run 12 3/4 miles every week. If the kids ran
for 5 days that week, how many miles would they need to run each day to meet my expectations ?
Answer:
x = 2.55 miles per day
Step-by-step explanation:
In English: 5 days * 'x' miles per day = 12 & 3/4 miles total
In algebra: 5x = 12.75
x = 12.75 ÷ 5
x = 2.55 miles per day
how long does it take to drive 820 feet at 60 mph?
Answer:
Step-by-step explanation:
820/60=13.6
(rounded)
Answer:
9.32 seconds
Step-by-step explanation:
60 miles x 5280 feet per mile = 316,800 feet per hour
316,800 feet per hour/60 minutes per hour = 5280 feet per minute
5280 feet per minute/60 seconds per minute = 88 feet per second
820 feet/88 feet per second = 9.32 seconds
What expression represents the value of x?
the first one is correct
i can prove it but its hard on this app and it has a long solution
you can prove it by Thales law
hope this helps
Is 3/2 greater than 1? Or Less than
Answer:
3/2 is greater than 1
Step-by-step explanation:
A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.
If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.
In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).
Hope that helps :)
An arrow is shot up in the air from a height of 3 feet. The height of the arrow, in feet,can be modeled with the function h= -2t^2+12t+3where his the height in feet and is the time in seconds.Enter the average rate of change, in feet per second, from 1 second to 4 seconds
Answer:
The average rate of change is two feet per second.
Step-by-step explanation:
The height of an arrow shot up into the air from a height of three feet is given by the function:
[tex]h(t)=-2t^2+12t+3[/tex]
And we want to find its average rate of change from one second the four seconds.
The average rate of change is synonymous with the slope. Therefore, we can evaluate the height of the arrow after the first and fourth seconds, and find the slope between them.
After the first second, the height of the arrow is:
[tex]h(1)=-2(1)^2+12(1)+3=13[/tex]
And after the fourth second, the height of the arrow is:
[tex]h(4)=-2(4)^2+12(4)+3=19[/tex]
This yields two points: (1, 13) and (4, 19).
The slope between them is:
[tex]\displaystyle m=\frac{19-13}{4-1}=\frac{6}{3}=2[/tex]
Therefore, the average rate of change from one second to four seconds is two feet per second.
The sum of 2 and the product of 4 and m
PLSSS HELP 50 pointsss
Answer:
1 and 2
Step-by-step explanation:
sum of 2 is 1+1 and product of 4 is 2x2
WILL GIVE BRAINLIEST
Answer:
hey there, it's option A, -7.
Where does the adjacent interior angle go in a triangle?
Answer:
Any two interior angles that share a common side are called the "adjacent interior angles" of the polygon, or just "adjacent angles". Here the word adjacent is used in its ordinary English meaning of "next to each other".
Step-by-step explanation:
In ΔXYZ, x = 460 inches, y = 340 inches and ∠Z=47°. Find the area of ΔXYZ, to the nearest square inch.
Answer:
35.8
Step-by-step explanation:
Answer:
35.8
Step-by-step explanation:
Done the test
In a drawer there are 6 black socks,8 white socks,2 red socks, and 4 blue socks. A boy takes one socks from the drawer, without looking. What is the chance that this socks is blue?
Answer:
1/5
Step-by-step explanation:
Chance is also referred to as probability
probability = Number of event/Total samples space
If there are 6 black socks,8 white socks,2 red socks, and 4 blue socks in a drawer, the total number of socks will be the sample space
Sample space = 6 + 8 + 2 + 4
Sample space = 20socks
Total number of blue socks is the event
Number of event = 4 blue socks
Chance that the socks is blue = n(E)/n(S)
Chance that the socks is blue = 4/20
Chance that the socks is blue = 1/5
Find x Question is attached:
PLease I need the answer fast!!!
Answer:
Step-by-step explanation:
(-3)ˣ⁻² = -243
(-3)ˣ⁻² = (-3)⁵
x-2 = 5
x = 7