9514 1404 393
Answer:
63
Step-by-step explanation:
Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.
The number is 63.
_____
If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.
original number value = 10x +y
reversed number value = 10y +x
difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)
The tens digit is twice the ones digit, so we have ...
x = 2y
Substituting in the difference equation, we have ...
27 = 9(x -y)
3 = (2y -y) = y . . . . . divide by 9, substitute for x
x = 2(3) = 6
The number is 10x+y = 63.
Xavier's new car uses 25 gallons for 528 miles, approximately how many miles does it travel per gallon ?
let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.
9514 1404 393
Answer:
(x, y) = (8, 2)
Step-by-step explanation:
The relevant equations are ...
3x -y = 22
x +2y = 12
__
We can eliminate y by adding twice the first equation to the second.
2(3x -y) +(x +2y) = 2(22) +(12)
7x = 56
x = 8
Substituting into the first equation gives ...
3(8) -y = 22
y = 24 -22 = 2
The first number is 8; the second number is 2.
PLEASE HELPP! WORTH 21 POINTS AND I WILL MARK BRAINLIEST!!!
Answer:
8 pizz an chick 6
Step-by-step explanation:
What expression is equivalent to (-18) - 64n ?
A -2 (9 - 32n)
B 2 (9 - 32n)
C 2 (9 + 32n)
D -2 (9 + 32n)
Answer:
D
Step-by-step explanation:
Distribute the -2 to the 9 to get -18 and then to the 32n giving you -64n
Please help me with this question I am really confused
Step-by-step explanation:
The answer is consistent
How have you seen racism, protest, conflict, dehumanization play out in our current world?
paragraph plz
Answer:
i have seen a lot of racist people. let me tell you something that happened the other day when i was on here i found this kid posting racist things and calling blacks ugly. and he then started being mean to my friends and every year we celebrate black history month for rights rights and this is a good thing to do cause we all matter.#black lives matter
Step-by-step explanation:
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hours. The Thompson family's sprinkler was used for hours. There was a combined total output of of water. What was the water output rate for each sprinkler if the sum of the two rates was per hour
This question s incomplete, the complete question is;
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.
There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour
Answer:
The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
Step-by-step explanation:
Given the data in the question;
let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively
so
x + y = 55 ----------------equ1
x = 55 - y ------------------qu2
also
15x + 30y = 1050
x + 2y = 70 --------------equ3
input equ2 into equ3
(55 - y) + 2y = 70
- y + 2y = 70 - 55
y = 15
input value of y into equ1
x + 15 = 55
x = 55 - 15
x = 40
Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
please answer asap!!! thank you
Answer:
b trust me its b
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
;)
Find the measure of angle4
A.113
B. 33.5
C.67
Answer:
B
Step-by-step explanation:
Took it
Pls help ASAP I’ll brainlest
Answer:
x=-0.26
Step-by-step explanation:
Pls help I’ll brainlest ASAP pls
Answer:
k=63
Step-by-step explanation:
(k/3)+3=24
---> (k/3)=21
- this is because we subtracted 3 from each side
---> k=63
- this is because we multiplied each side by 3
i hope this helped :D
Answer:
k=63
Step-by-step explanation:
i jus checked
How do you solve the following word problem
A small radio transmitter broadcasts in a 49 mile radius. If you drive along a straight line from a city 67 miles north of the transmitter to a second city 63 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
I must give the answer in miles and am unclear as to what equations to use and need details on what equations to use to get to the correct answer.
thanks for any help.
M
Answer:
Step-by-step explanation:
Let the transmitter be located at (0,0)
The equation for its effective coverage area will be a circle centered at (0,0) with a radius of 49.
So....the equation is
[tex]x^2 + y^2 = 49^2[/tex]
[tex]x^2 + y^2 = 2401[/tex]
Let the point 67 miles north of the transmitter be (0, 67)
Let the point 63 miles east of the transmitter be (63, 0)
The line connecting these (the line of travel) will have a slope of
[67 - 0] / [ 0 - 63] = -67/63
The equation of this line will be: y = (-67/63)x + 67
The signal will be received between the points:
(21.681, 43.942) and (45.192, 18.938)
The distance between these points is
[tex]\sqrt{[ ( 45.192 - 21.681)^2 + ( 43.942 - 18.938)^2 ] } = 34.322 miles[/tex] (1)
The distance between (0, 63) and (67, 0)
[tex]\sqrt{[ ( 63)^2 + ( 67)^2 ] }=91.97miles[/tex] (2)
So....you will receive the signal using (1)/ (2)
(34.322 / 91.97) x 100 ≈ 37% of the drive
Simplify the following expression:
5(2x-4)-4(2-5x)
Answer:
30x - 28
Step-by-step explanation:
distribute
5(2x) - 5(4) -4(2) - 4(-5x)
10x - 20 - 8 + 20x
30x - 28
Determine if the sequence is arithmetic or geometric.
3, 6, 9, 12, ....... when x = 0, 1, 2, 3, .....
Arithmetic
OR
Geometric
Answer:
arithmetic
Step-by-step explanation:
Sally painted a picture that has an area of 480 square inches. The length of the painting is 1 1/5 its width. Which of the following could be the dimensions of Sally's painting?
A building is 52 meters tall. The building next to it is 50.36 meters tall. What is the difference between the heights of the buildings?
Answer:
1.64 meters
Step-by-step explanation:
Subtract 52 - 50.36 to find the difference between the heights. You get 1.64 meters.
Hope it helps!
P(AB)fxufucufgcidgfyzyfgx
Answer:
????????????????xhrhrhdhehdhzh
Answer:
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Step-by-step explanation:
(-6, -2) (4, -5) what is the distance in units, between the two points
A quiz has 10 multiple choice questions each with 4 answers that are equally likely to be the correct one. Suppose that the quiz takers need to score 7 corrects out of 10 to pass. Answer the following questions when the quiz taker selects the answers randomly. a) Probability of marking exactly 3 incorrect answers. b) Probability of passing
Answer:
a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) 0.0035 = 0.35% probability of passing.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10 multiple choice questions
This means that [tex]n = 10[/tex]
4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.
This means that [tex]p = \frac{1}{4} = 0.25[/tex]
a) Probability of marking exactly 3 incorrect answers.
3 incorrectly = 7 correctly, so this is P(X = 7).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) Probability of passing
At least 7 correct, so
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
[tex]P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004[/tex]
[tex]P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0[/tex]
[tex]P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0[/tex]
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035[/tex]
0.0035 = 0.35% probability of passing.
Which value or values for the variable c from the set below will make 2 + 0.5c < 2c true
{0.2, 0.7, 1, 3}
A) Only 3
B) 1 and 3
C) 0.7, 1, and 3
D) All the values in the set
Anand knows from experience that if he does not review a new vocabulary word that he has learned, that
he has a 70% chance of forgetting it each day. Let D be the number of days Anand goes without reviewing
a word until he forgets it.
Find the probability that it takes Anand 4 or more days to forget the word.
You may round your answer to the nearest hundredth.
P(D > 4) =
Answer:
0.031
Step-by-step explanation:
1-0.973 = 0.027 ≈ 0.03
14. What is the value of the missing angle? (1 point)
151
х
75
75-
115
135
O 129°
O 1530
O 1690
0720°
Answer:
75+ po e photo math nyo po sa play store I download nyo po
Step-by-step explanation:
sana po makatulong po
5
7
−
2
+
7
=
1
1
1
Answer:
Step-by-step explanation:
57-2=55
55+7=62
it does not equal 111
a real estate agent sells a house for $360,000. the amount was 30% of her sales for the entire week. which equation could be used to determined s, the total amount of sales for the week
Answer:
1 200 000 $
Step-by-step explanation:
(100 divide per 30 ) x 360 000 $
Use the calculator to find the value of x for the equation: × + 3.2=6.3
Answer:
x = 3.1
Step-by-step explanation:
Subtract 6.3 - 3.2 to find the value of x. You get 3.1.
Hope it helps!
what would be yearly earnings for a person with $6000 in savings at an annual interest rate of 2.0%
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Answer:
The value of f(3) = -2.
Step-by-step explanation:
First of all, let's find f(2).
[tex]f(n+1)=f(n)^{2}-3[/tex]
[tex]f(1+1)=f(1)^{2}-3[/tex]
[tex]f(2)=f(1)^{2}-3=2^{2}-3=1[/tex]
Now, we can find f(3):
[tex]f(2+1)=f(2)^{2}-3[/tex]
[tex]f(3)=f(2)^{2}-3=1^{2}-3=-2[/tex]
Therefore, the value of f(3) = -2.
I hope it helps you!
Evaluate the expression when a=−15 and b=−5.
Answer:
-3/5
Step-by-step explanation:
(b + 14)/a = ((-5) + 14)/(-15) = -9/15 =-3/5
when graphing what does "b" stand for in y-intercept
a. base
b. begin
c. binomial
d. bound
Answer:
A. base
Step-by-step explanation:
if this helped please press the pink "thanks" button