Answer:
The difference of the original two-digit number and the number with reversed digits is 18.
Step-by-step explanation:
Since it's a two digit number, let x represent the tens digit and let y represent the units digit.
Thus, the original two digit number is;
10x + y.
The reverse two digit number is;
10y + x.
We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.
Thus;
5(x + y) = (10x + y) - 13
Multiplying out the bracket gives;
5x + 5y = 10x + y - 13
Rearranging gives;
10x - 5x + y - 5y = 13
5x - 4y = 13 - - - - (3)
Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;
4(x + y) = (10y + x) - 21 - - - (4)
Simplifying gives;
4x + 4y = 10y + x - 21
>> 10y - 4y - 4x + x = 21
>> 6y - 3x = 21 - - - (4)
Solving eq(3) and (4) simultaneously gives;
x = 5 and y = 3
Thus,
Original number = 53
Reversed number = 35
Difference between original and reversed number = 53 - 35 = 18
Find the slope!
19.) (-3, 4) and (-4,-2)
Answer:
Slope is 6
Step-by-step explanation:
(-3, 4) and (-4, -2)
m=(y2-y1)/(x2-x1)
m=(-2 - 4)/(-4 + 3)
m= (-6)/(-1)
m = 6
I need answer for this question
Answer:
The answer should be D) 4x^ + x + 3
All but one of the following cannot be used internationally
Answer:
I think national flag cannot be used internationallyStep-by-step explanation:
hope it helps youWhich of the following equations is of a parabola with a vertex at (3.0)?
Answer:
D) y= x^2 +3
Step-by-step explanation:
austin bought a new car for $35,000. the car decreases in value 4% every year. how many years will it take for the cars value to be $20,000?
Answer:
2 years
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Find the distance between the pair of points (2,-1) and (-5,-5)?
Answer:
down 4 and over 7 so 11
Step-by-step explanation:
Combine like term in the following expressions:
3x + 5y + 2z + 2x + y + 3z +5 -3
A. 18
B. 5x+6y+5z+2
C. 8x+$z+4y+8
D. None of Above
Answer:
B. 5x+6y+5z+2
Step-by-step explanation:
3x + 5y + 2z + 2x + y + 3z +5 -3 = 5x +6y + 5z +2
B
Find the length of the cable in the diagram below.
Answer:
13.4
Step-by-step explanation:
it is A square +b square =c square which is just 12×12=144 + 6×6=36 and then add them together which is 180, then just square root 180 can do it for every type of question like that and always remember the longest side is c, and the other two it doesn't matter which is A or B.
A class has five students. What is the probability that exactly two of the students were born on a weekend?
Answer:
This is binomial.
Here n = 5
p = 2/7
mean = np = 5*2/7 = 10/7 = 1.42857
standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015
Step-by-step explanation:
Work Shown.
The probability that exactly two of the five students of the class were born on weekend is 0.2975
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
n = 5
The probability that any student was born on weekend, P(W) = (2 / 7)
and, the probability that any student was not born on weekend
P(W') = {1 - P(W)}
= {1 - (2 / 7)}
= (5 / 7).
Thus, the probability that exactly two of the five students of the class were born on weekend
= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³
= 10 x {(2 / 7)²} * {(5 / 7)³}
= 10 x (4 / 49) x (125 / 343)
= (5000 / 16807)
≈ 0.2975
Learn more about probability here:
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How many solutions dose x+y=10 x+y=12
Answer:
There are infinite solutions.
Think about it. The equation says essentially:
12 + any number = 12 + any number.
y + 12 = y + 10 + 2
y + 12 = y + 12
y - y = 12 - 12
0 = 12 - 12
0 = 0
Step-by-step explanation:
help me i really need the help
Answer:
G: 1 3/4
Step-by-step explanation:
you have to divide, 8 3/4 cups by 5 and you get 1 3/4!
Answer:
G. 1 3/4
Step-by-step explanation:
There are multiple ways you can do this, but there's one easy way.
You can convert 8 3/4 to a decimal, which is 8.75.
From there, divide 8.75 by 5 and you get 1.75, which is 1 3/4/
Completing the table
Which of the following sentences describes an equilateral triangle?
A:
Two sides are the same length.
B:
Each angle is less than 90 degrees.
C:
One of the angles equals 90 degrees.
D:
The lengths of all three sides are the same.
A right triangle has a hypotenuse of 18 feet and a side length opposite ∠A of 12 feet. What is the measure of ∠A to the nearest degree?
Answer:
∠A = 42°
Step-by-step explanation:
sin ∠A = 12/18 = 0.6667
∠A = 41.81°
Answer:
42 degrees
Step-by-step explanation:
If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot
Answer:
29.7 ft tall
Step-by-step explanation:
29.75ft. tall is the building.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Here, we have,
from the figure , we get,
Hypotenuse = 37 ft.
Base= 22 ft.
Let, the building = height = x ft.
Now , by Pythagorean theorem, we have,
x=√37²-22²
=√885
=29.75
Hence, 29.75ft. tall is the building.
To learn more on Pythagorean theorem click:
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3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.
Answer:
D) There are two pairs of opposite parallel sides.
Step-by-step explanation:
A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.
Anyone know this answer Help ASAP
Answer:
The right answer is A (x=2,y=-1)
Which value is NOT a solution of x^3 + 64 = 0
a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.
Submit
IM.MP3.PC.2020-2021
Question: 1-2
Examine the polygons on the coordinate plane.
162
Select the triangle that represents a translation of
GHK.
B В
A
H
D
B
Ο Ο Ο Ο
C С
A
С
Answer:
can you send a picture please
What is the sum?
46 mins left please help!!!!!
Find the value of x. help please if you understand
can someone find the length of the spine plss
Answer:
48.2 cm
Step-by-step explanation:
The bottom side of the large triangle has length 78 cm.
The bottom side of the right triangle has length 78 cm/2 = 39 cm.
Now we use the Pythagorean theorem to find the vertical side, the spine.
39² + s² = 62²
s² = 3844 - 1521
s² = 2323
s = 48.2
Answer: 48.2 cm
The cardinal number of {17, 18, 19, 20, ..., 95} is
Answer:
95
Step-by-step explanation:
a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s
Math please help!!!!
Answer:
6.3 years
Step-by-step explanation:
Given
[tex]P = 22400[/tex] --- initial value
[tex]r = 12\%[/tex] -- rate
[tex]A = P(0.88)^t[/tex] --- function
Required
Find t when [tex]A = 10000[/tex]
We have: [tex]A = P(0.88)^t[/tex]
Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]
[tex]10000 = 22400 * 0.88^t[/tex]
Divide both sides by 22400
[tex]0.4464 = 0.88^t[/tex]
Take log of both sides
[tex]\log(0.4464) = \log(0.88^t)[/tex]
Apply law of logarithm
[tex]\log(0.4464) = t\log(0.88)[/tex]
Solve for t
[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]
[tex]t = \frac{-0.3503}{-0.0555}[/tex]
[tex]t = 6.31[/tex]
[tex]t \approx 6.3[/tex]
The uniform cross section of a cabin storage compartment on a jet plane is a sector of a circle with radius 55cm, and angle Ө c . The container is 96 cm wide. The volume of the container is 0.2178 m3. What is the angle Өc?
Answer:
I don't recognize this problem, please make sure the input is complete.
Step-by-step explanation:
sry
The amount of interest accrued on
a $7,000 loan with 6% interest after t years.
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
Need help on this please asap.
Answer:
This is confusing
Step-by-step explanation:
What is the area of a concrete floor that is 110 feet long and 65 feet wide? The floor area is square feet.
Answer:
7150 square feet
Step-by-step explanation:
The area of a rectangle is the length times the width.
110*65=7150
Please help
A vector is drawn on a grid
Answer:
.....
..
...
..
Step-by-step explanation:
I cant see the grid
