The tens digit of a two-digit number is three times greater than the ones digit. The difference between twice the original number and half the number obtained after reversing the digits is 108. What is the original number? Show your work.
Answer:
Now solve these two equations.ull get andwer
The original number will be "63".
Let,
The ten's digit be "x".One's digit be "y".The equation will be:
→ [tex]x=y+3[/tex]...(equation 1)
Original number will be:
→ [tex]10x+y[/tex]
then,
→ [tex]2 (10x+y)-\frac{(10y+x)}{2} = 108[/tex]
→ [tex]\frac{4(10x+y)}{1} -(10y+x) = 216[/tex]
→ [tex]40x+4y-10y-x = 216[/tex]
→ [tex]39x-6y=216[/tex]...(equation 2)
By using (equation 1) and (equation 2), we get
→ [tex]39(y+3)-6y=216[/tex]
→ [tex]39y+117-6y=216[/tex]
→ [tex]33y=99[/tex]
→ [tex]y = \frac{99}{33}[/tex]
→ [tex]= 3[/tex]
Now,
[tex]x = y+3[/tex]
[tex]=3+3[/tex]
[tex]=6[/tex]
hence,
The original number will be:
= [tex]10x+y[/tex]
= [tex]10\times 6+3[/tex]
= [tex]60+3[/tex]
= [tex]63[/tex]
Thus the above approach is right.
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8. Define transversal lines.
Step-by-step explanation:
In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles
find the five rational number lying between square of 5/6 and 6/7
Answer:
71/84
Step-by-step explanation:
Answer:
1229/1764, 1231/1764, 179/252, 1255/1754 and 185/252.
Step-by-step explanation:
(5/6)^2 = 25/36
(6/7)^2 = 36/49
LCM of 36 and 49 is 1764
So 25/36 = 25 * 49 / 1764 = 1225/1764
and 36/49 = 36 * 36 / 1764 = 1296/1764
So the 5 rational numbers could be:
1229/1764, 1231/1764, 1253/1764 ( = 179/252), 1255/1764 and 1295/1764 (= 185/ 252).
Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 8x + 16 In which direction and by how many units should f(x) be shifted to match g(x)? Left by 4 units Right by 4 units Left by 8 units Right by 8 units
Answer:
Shift right by 4
Step-by-step explanation:
Given f(x)=x^2
g(x)= x^2-8x+16
Using
Horizontal Shift theorem dealing with the question
If the graph were to be move to to the right, we must use of graph f (x-L)
Where L= 4 and
NOTE:
POSITIVE L MAKES GRAPH SHIFT RIGHT
2) NEGATIVE MAKES GRAPH SHIFT LEFT
g(x)= x^2-8x+16
If we factorize this we have
(x-4)(x-4)
Since the two terms are the same we have (x-4)^2
Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function
Answer:
Left by 4
Step-by-step explanation:
graph x^2 and x^2 − 8x + 16 on Desmos . com
you start at f(x) and end at g(x)
Help please!!! Thxxxxx
Answer:
H
Step-by-step explanation:
A round wading pool has a diameter of 115cm deep. A hose is filling the pool at a rate of 34000cm^3, cubed per minute. How long will it take to fill the pool to a depth of 20cm?
Answer:
It will take 6.118 minutes to fill up the pool to a depth of 20 cm
Step-by-step explanation:
The first step is to calculate the volume of the wading pool.
we will assume it is a cylinder, hence the volume will be = [tex]\pi r^{2}h[/tex]
Where r= radius of the pool = 115/2 = 57.5cm
h = depth of the pool =20 cm
The volume of the pool will be [tex]\pi \times57.5^{2} \times 20 =2.08 \times 10^{5} cm ^{3}[/tex]
We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.
To get the time it will take to fill up the pool, we will have to divide as follows:
208,000cm ^{3} / 34000cm^3 =6.118 minutes
Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm
Calculate the perimeter of a semi-circle
whose diameter is 14cm
perimeter of a semicircle is [tex]\frac{2\pi r}{2}+2r=\frac{d\pi}2 +d[/tex]
$d=14$
so, perimeter= $14\cdot\frac{22}7\cdot \frac{1}2+14=22+14=36$ cm
Answer:
Perimeter of semi-circle = 36 cm
Step-by-step explanation:
diameter = d = 14 cm
Perimeter of semicircle = Circumference of semi-circle + diameter
= [tex]\frac{1}{2}\pi d + d[/tex]
= [tex]\frac{1}{2}*\frac{22}{7}*14 +14\\[/tex]
= 22 + 14
= 36 cm
The product of 9 upon 7 and a number is 63. Find the number
Answer:
heyy Vrooo....
alr ans is 49
Step-by-step explanation:
see let number be x
so as per ques.. product of x and 9/7 = 9x/7
which is 63
so [tex]\frac{9x}{7}[/tex] = 63
9x = 63*7
x = [tex]\frac{63*7}{9}[/tex]
x = 7*7 = 49
Possible to brainliest <3 ?
Please answer the question in the image below ASAP
Answer:
Option A Center: 2,-3 radius =5Step-by-step explanation:
[tex](x-h) ^2+(y-k) ^2 =r^2[/tex]
The above equation is the general standard equation for the circle centered at (h,k) with radius r
Given that the equation of the circle is
[tex](x-2) ^2+(y+3) ^2 =25[/tex]
Comparing this with the general equation we can get the center and the radius as
[tex](x-h) ^2+(y-k) ^2 =r^2\\(x-(2)) ^2+(y-(-3)) ^2 =5^2[/tex]
We can now see that
h= 2
k= -3 and
r= 5
Given: ABCD is a parallelogram.Prove: m∠A + m∠B + m∠C + m∠D = 360˚By the definition of a parallelogram, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . By the definition of supplementary, m∠A + m∠D = 180. Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. By the definition of supplementary, m∠B + m∠C = 180. So, m∠A + m∠D + m∠B + m∠C = 180 + 180 by the property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.1) D2) Supplementary3) BC4) Addition
Answer:- D
- Supplementary
- BC
- Addition
Step-by-step explanation:
If a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there is no remainder. What number between 1 and 100 satisfies the above conditions?
Answer:
91
Step-by-step explanation:
Look at multiples of 7 and you’ll find 91.
91 dived by 3 is 30 with a remainder of 1.
91 divided by 5 is 18 with a remainder of 1.
91 divid by 7 is 13 with no remainder.
91 is the number between 1 and 100 satisfies the above conditions
What is Number system?A number system is defined as a system of writing to express numbers.
Given that a number is divided by 3 or 5, the remainder is 1.
If it is divided by 7, there is no remainder
We need to find the number between 1 and 100 which satisfies the given conditions.
Let us consider 91.
When 91 is divided by 3 we get 30 and 1 as remainder.
91 divided by 5 is 18 with a remainder of 1.
91 divided by 7 is 13 it does not have any remainder or remainder is zero.
Hence, 91 is the number between 1 and 100 satisfies the above conditions
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Simplify:
[tex] \frac{ {a}^{5} {b}^{8} }{ {a}^{4} {b}^{10} } [/tex]
HELP! answer if you can !
Answer:
a^5b^8/a^4b^10
= a^5-4 b^8-10
= a^1 b^-2
= a/b^2
I hope this helps
if u have question let me know in comments ^_^
2x2
The value of the expression + x(100 - 15x) when x = 5 is
X
Answer:
129
Step-by-step explanation:
2*2+x(100-15x)
2*2+5(100-15*5)
2*2+5(100-75)
2*2+5*25
4+125
129ans
I WILL BE MARKING THE CORRECT ANSWER BRAINLEST PLS HELP When the distributive property is used to solve the equation
3 ( x + 5 ) = 5x - 7
what could the next step be?
Answer:
11
Step-by-step explanation:
3 (x + 5) = 5x - 7
3x + 15 = 5x - 7
3x - 5x = -7 -15
-2x = - 22
x = 11
if A+B+C=π prove that sinA+sinB+sinC=4cosA/2 cosB/2 cosC/2
Answer:
oyo archer comes here in answer your real answer it is 7 divided by 7 divided / 2 / to the answer X to other words if you're into Google with answers in churches of students
A telephone long distance carrier charges customers $0.99 for the first 10 minutes and then $0.09 for each minute beyond 10 minutes. If Mary uses this carrier, how long can she talk for $5.00
Answer:
5 minutes
Step-by-step explanation:
5 * $0.99 = $4.95
determine whether each number is rational or irrational
Answer:
1. irrational (it's pi. pi goes on forever.)
2. irrational (the ... shows that the number goes on forever.)
3. rational (it is a regular integer)
4. rational (it would be negative 3, an integer.)
5. real, irrational (square root 6 goes on forever, like every non-perfect square root)
6. real, rational, integer, natural, whole (regular counting number)
7. real, rational, integer, natural, whole (regular counting number, 4)
8. real, rational (the .11111... shows the number is a repeating, non terminating number, therefore it is rational and real.)
brainliest is very much appreciated!
apakah itu nombor jujukan ?
Answer:
Sequence number is a list of numbers that are linked by rule.
simplify [tex]x^{2} - x - 12[/tex]
Answer:
Step-by-step explanation:
x2 - x - 12
x2 - 4x + 3x - 12
x(x - 4) + 3(x - 4)
(x - 4) (x+ 3)
-4 + 3 will make -1 for -1x
-4 x 3 will make -12
Thus, the factored form will be (x-4)(x+3)
A 2-gallon bottle of fabric softener costs $30.24. What is the price per pint?
Answer:
$1.89
Step-by-step explanation:
1 gallon= 8 pints
2gallons= 16pints
$30.24÷ 16= $1.89
Answer:
3.43
12 pints
Step-by-step explanation:
2 gallons = 12 pints. 30.24 divided by 12 is 3.43
I NEED HELP ON THIS QUESTION!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!
Answer: Ruiz and greater
Step-by-step explanation:
I graphed them.
Pls answer if you only know the correct answer! Thanks! :))
The ratio is (J/W) = 7/6. Or. J= (7/6)• W .
Second line: J= (7/6)• 24. J= 28.
Third line: J= (7/6)• 18. J= 21
5[tex]5^{56} x 5^{22} x 5^{-96}[/tex]
Answer:
[tex] \frac{ {11}^{56} }{ {5}^{18} } [/tex]
Step-by-step explanation:
[tex] {55}^{56} \times {5}^{22} \times {5}^{ - 96} [/tex]
[tex] = {55}^{56} \times {5}^{ - 74} [/tex]
[tex] = {11}^{56} \times {5}^{56} \times \frac{1}{ {5}^{74} } [/tex]
[tex] = {11}^{56} \times \frac{1}{ {5}^{18} } [/tex]
[tex] = \frac{ {11}^{56} }{ {5}^{18} } [/tex]
which of the following functions are an example of exponential decay???
Answer:
C. II only
Step-by-step explanation:
iyzgkxhldlufulduo
Which point represents the opposite of 0 on the number line? A B C D E
Answer:
C: 0
Step-by-step explanation:
Let's use 1 for an example first. The opposite of 1 is -1. 2 = -2, 3 = -3, and so on. Since there is no such thing as -0, our answer would be C, 0. It is not -5, -2, 2, or 7 because those are not the negatives of 0.
3.What mathematical property is used to get the resulting
expression for each line? Complete the table below.
Line 1: (7 + 10x) + 3
Line 2:
(10x + 7) + 3
Line 3:
10x + (7 + 3)
Line 4:
10x + 10
Answer:
what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>spThe UN has 4 main purposesTo keep peace throughout the world;To develop friendly relations among nations;To help nations work together to improve the lives of poor people, to conquer hunger, disease and illiteracy, and to encourage respect for each other’s rights and freedoms;To be a centre for harmonizing the actions of nations to achieve these goals
Principles of United Nations
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These principles include the equality and self-determination of nations, respect of human rights and fundamental freedoms and the obligation of member countries to obey the Charter, to cooperate with the UN Security Council and to use peaceful means to resolve conflicts.
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A word where two vowels together blend their sound is a vowelrahim was getting his house build. He shared the design with his friend Anas. Anas pointed out that there were no ventilators in his house. What is your opinion Are the ventilators important? Why? What quality of Anas is evident in this case?
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of
lemon juice in each batch of hummus recipe that he makes. Dinesh makes 5 batches of hummus.
What is the total cost of oil that he uses in the 5 batches of his recipe?
The correct answer is $15
Explanation:
The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.
1 cup of oil per batch x 5 batches = 5 cups of oil
This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.
12 cups of oil = $36 1. Write the values
5 cups of oil = x
12 x = 180 2. Cross multiply this means 36x 5 and 12 multipy by x
x = 180 ÷ 12 3. Solve the equation
x= 15 - Cost for 5 cups used in the batches
the total number of snares of stock in the Bulls Corporation is 650,000. Tyier owns 12% of the shares. How many shares of the Bulls Corporation stock does he own?
Answer:
650000/12% and in fraction 650000devide by 12% you will get 541.`6
What is the perimeter of a square with an area of 441 cm2? A) 21 cm B) 42 cm C) 56 cm D) 84 cm
Answer:
D) 84cm
Step-by-step explanation:
Square area = √(441cm²) = 21 cm
perimeter = 4*21 = 84 cm
1,400 is 10 times as much as 140- true or false
Answer:
True
Step-by-step explanation:
140 * 10 = 1400
True