Let the digit in one's place be y and digit at ten's place be x.
Given:Sum of the digits = 11
⟶ x + y = 11
⟶ x = 11 - y -- equation (1).
And,
The number formed by reversing the digits is 27 more than the original number.
⟶ Reversed number = Original number + 27
reversed number = 10y + x.
⟶ 10y + x = 10x + y + 27
⟶ 10y + x - 10x - y = 27
⟶ 9y - 9x = 27
Substitute the value x from equation (1).
⟶ 9y - 9(11 - y) = 27
⟶ 9y - 99 + 9y = 27
⟶ 18y = 27 + 99
⟶ 18y = 126
⟶ y = 126/18
⟶ y = 7
Substitute the value of y in equation (1).
⟶ x = 11 - 7
⟶ x = 4
The number = 10(4) + 7 = 40 + 7 = 47.
∴ The required two digit number is 47.
I hope it will help you.
Regards.
What is the equation of the line that passes through the points (4,-4) and has a slope of -3/4
Answer:
the desired equation is y = (-3/4)x - 1
Step-by-step explanation:
Start with the slope-intercept formula y = mx + b.
Substitute -4 for y, +4 for x and -3/4 for m:
-4 = (-3/4)(4) + b
Then -4 = -3 + b, so b must be -1
and the desired equation is y = (-3/4)x - 1
The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?
Answer:
10
Step-by-step explanation:
set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10
HELP ASAP!
Find the LCM (least common multiple) of 30 and 22.
LCM =
in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?
Answer:
x=34
Step-by-step explanation:
If you put Y and X into a ratio then it will be
5:2
because since their GCF is 11, then we will have to divide both of the numbers by 11.
If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.
That will get you 34.
The original car price is p The total price is $22,480
Answer:
22,480
Step-by-step explanation:
dollar money economy and I was boutta say things the same thing as the among us?
If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function?
The value of x can be ____
The value of y can be ____
(any real number, any real number except 5, any real number except 5 and -2)
Answer:
3, 0
Step-by-step explanation:
Subtract 2.
5 - 3 = 2.
-2 - 2 = 0
Answer:
The value of x can be
✔ any real number except 5
The value of y can be
✔ any real number
.Step-by-step explanation:
Mike is purchasing fabric for a school project. He needs to cut out circles with an area of 314 square inches. The fabric at the store is precut into squares, each of which has a whole number of inches for the length of its side. What is the smallest square piece of fabric Mike can purchase to use to cut out one of the circles?
Answer:
20 inches
Step-by-step explanation:
Mike needs to cut out circles with an area of 314 square inches.
Let d be the diameter of required the circle,
So, the area of the circle [tex]=\frac{\pi d^2}{4}[/tex]
[tex]\Rightarrow 314 = \frac{\pi d^2}{4}[/tex] [ given]
[tex]\Rightarrow 314\times 4 =\pi d^2[/tex]
[tex]\Rightarrow 314\times 4 =3.14 \times d^2[/tex] [ using \pi=3.14]
[tex]\Rightarrow d^2=\frac{314\times 4}{3.14}[/tex]
[tex]\Rightarrow d^2=400[/tex]
[tex]\Rightarrow |d|=\sqrt{400}=20[/tex]
[tex]\Rightarrow d=\pm 20[/tex] inches
Neglecting the negative sign as the length of diameter can't be negative.
So, the diameter of the required circle is [tex]d=20[/tex] inches.
As the available fabric at the store is in the square shape for which length and width are the same, to cut out one circle of diameter [tex]d[/tex], the dimension of the square must be greater than or equal to [tex]d[/tex].
So, the length of the smallest square piece of the fabric Mike can purchase to use to cut out one of the circles is [tex]d=20[/tex] inches.
NEED HELP ASAP
SOLVE FOR V
ryv-tu=w
Answer:
v= w/ry+tu/ry
Step-by-step explanation: Isolate the variable then Divide each side by the factors that don't contain the variable.
What is -2(x - 5)- 11 in simplest form?
Answer:
-2x - 1
Step-by-step explanation:
-2(x-5)-11
We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)
-2(x-5)-11
-2x + 10 - 11
-2x - 1
For each set of angle measurements, determine if they would form a triangle (Answer YES or NO for
each)
1. 120, 50, 10
2. 100, 91. 25
3. 90, 60, 30
4. 77, 54, 49
5. 177. 2,1
Answer:
1. yes
2. no
3. yes
4. yes
5. yes
Step-by-step explanation:
All triangles have 3 angle measurements that add up to 180
I did these all mentally so do double check :)
Write the equation of the line that passes through the given points.
(0,4) and (5,10)
Answer:
y = [tex]\frac{6}{5}[/tex]x + 4
Step-by-step explanation:
Use the slope formula and slope-intercept form y=mx+b to find the equation.
John needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile. If John has $12.52 and he finds a cab with the same flat fee that only charges $0.45 per miles, what is the maximum number of miles he will be able to travel, t the nearest tenth of a mile?
Answer:
Maximum distance covered by John = 22.8 miles
Step-by-step explanation:
The cab company charges a flat fee of $2.25 plus $0.55 per mile.
Amount of money John has = $y
Let the number of miles traveled in $y = x miles
If John finds a cab charging same fee and $0.45 per mile,
y ≤ 2.25 + 0.45x
y - 2.25 ≤ 0.45x
[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]
Therefore, inequality representing the maximum distance covered by John,
[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]
If, y = $12.52
[tex]x\leq \frac{(12.52-2.25)}{0.45}[/tex]
x ≤ 22.8 miles
Therefore, John will be able to travel the maximum distance = 22.8 miles.
Answer:
x ≤ 22.8 miles
John will be able to travel the maximum distance of 22.8 miles.
Step-by-step explanation:
I hope this helps
brainliest You are going on a plane ride. You leave at 11:00am, sight see for awhile and return back to the same airport at 4:00pm. The plane traveled at 180 miles per hour. How far did the plane fly?
Answer:900 miles
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
11: 00 am to 4: 00 pm thats a 5 hour flight basically. Then do 180 x 5 = 900 (Hope Im right and u guys understand :DD)
2 1/5 + 2 1/5 + 3 1/8 + 3 1/8
Answer:
Simplify the expression.
Exact Form:
213/20
Decimal Form:
10.65
Mixed Number Form:
10 13/20
Step-by-step explanation:
A baker used 8 bags of flour every 9 days. He used
of a bag cach day
L20 nens in 5 seconds What is the rate
Answer:
0.8 repeating or 8/9 bags a day
Step-by-step explanation:
Joey wants to save up enough money to buy a new baseball bat that costs $200. He already has $50. If Joey makes $40 per week, write an inequality that represents the number of weeks (w) until he will have enough money?
Answer:
50+40w=200
Step-by-step explanation:
200-50=150
150 divided by 40=3.75 so 3 1/2 weeks
PLSSSS HELP can someone show me how would this look on a graph f(x)=−3[x+2] I need all the points
Answer:
hope this helps :)
Step-by-step explanation:
HELP PLS (picture below)
C
Because it will equal 5,260 but all the other are bigger
Which equations represent this fact family ? Check all that apply
Answer:
9-11=20
and
20-11=9
Step-by-step explanation:
20+11=31, not 9- the first one is not the answer
20+9-29, not 11- the third is incorrect
11-20=-9, not 9- fifth is not it
Which is true about x, the quotient of the division problem shown below? х 81 918 O The quotient contains a repeating decimal. O The quotient contains a terminating decimal. O The quotient is a whole number less than 11. O The quotient is a whole number greater than 11
Answer:
The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".
Step-by-step explanation:
The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.
[tex]\to \frac{81}{918}= 0.0882352941[/tex]
It wasn't a repeating decimal, however a final decimal, so it's got an end.
Its quotient may be less than 11 in total.
Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .
Answer:
a
Step-by-step explanation:
WILL MARK YOU BRAINLIEST!!!!!!
Answer:
a b d e
Step-by-step explanation:
yes its correct
geometry help pls right triangles i’ll mark brainlist
reciprocal of the fraction 3/7 is
Answer:
A simple example - the reciprocal fraction of 3/7 is 7/3. As you can see, a reciprocal of a fraction is just flipping the numerator and denominator.
Step-by-step explanation:
Answer:
7/3
Step-by-step explanation:
reciprocal, refliprical is a great way to remember how to solve. You just flip the fraction.
Anna is given the equation 5 + 3x = 3x + 5
The replacement set is {1, 2, 3, 4}
Anna says the solution is {2}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?
Answer:
The answer is they are all correct
Step-by-step explanation:
5 +3(1) = 8 = 3(1)+5
5 +3(2) = 11 = 3(2)+5
5 +3(3) = 14 = 3(3)+5
5 +3(4) = 17 = 3(4)+5
5 +3(5) = 20 = 3(5)+5
ASAP
Factor Completely
-3x^2+6x+9=
Answer:
3(−x−1)(x−3)
Step-by-step explanation:
A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).
Answer:
2minutesStep-by-step explanation:
Since the expression for the amount of gas in the tank is given as
g = 5t + 4
we already know that g=14 which is the capacity of the tank
so let us put g=14 we have
14=5t+4
solving for t, which is the time taken to fill up the tank that already has 4 gal already we have
14=5t+4
14-4=5t
10=5t
t=10/5
t=2min
Therefore the time taken to fill the tank is 2minutes
Find the slope on the graph?
Answer: I believe it’s 1/2
Step-by-step explanation: it cannot be a negative answer because The point on the graph is on the positive side
Answer: 2
Step-by-step explanation:
The slope of a graph is rise over run.
Find a perfect point on the graph and go to the next perfect point.
An example is:
(-2, 0) and (-1, 2)
To get from the first point to the second, you go up 2 over 1.
It’s rise (up) over run (left or right) so it’s 2/1.
2 divided by 1 is just 2.
Your slope is 2.
Hope this helps!
Which one?
A. B. C. or D?
Answer:
B
Step-by-step explanation:
(7m+5m^3)-3m-4m^3
we simplify to get
4m+m^3 which can be rearranged
m^3+4m
WILL GIVE BRANLIEST! FINAL QUESTION
What is the radical form of x^-1/2?
A)√x
B)√x /x
C) x
Answer:A
Step-by-step explanation: In exponents,
a
1
m
=
m
√
a
Hence
x
1
2
=
2
√
x