Answer:
62
Step-by-step explanation:
Let the two digit number be XY
X+Y = 8
10X+Y - (10Y+X) = 10Y+X+10
10X+Y-10Y-X=10Y+X+10
8X-19Y=10
8(8-Y)-19Y=10
64-8Y-19Y=10
27Y=54
Y=2
The number is therefore 62.
The required two-digit number with sum of digits as 8 is 62.
Let us say the number is xy
What is the place value of x and y in xy?
The place value of digits, x and y in the number xy are 10 and 1 respectively.
So the number xy can be written as 10x+y
When the digits are reversed
The new number or reversed number obtained will be yx
So the new number yx can be written as 10y+x
Since the difference between the original number and the reversed number is 10 more than the reversed number.
So, (10x+y) - (10y+x) = 10 + (10y+x)
8x-19y =10.......(1)
Since the sum of digits is 8
So, x+y = 8......(2)
By solving equations (1) and (2) we get
x=6, y=2
So, the required number is xy i.e. 62.
Therefore, The required two-digit number with sum of digits as 8 is 62.
To get more about linear equations visit:
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Can somebody help me with this question plz !
Answer:
y=4x-3
Step-by-step explanation:
Parallel lines will always have the same slope (the number that comes before x in an equation). So, we can plug in 4 to the equation.
y=4x+?
Let's say the ? is b. If we plug in the point (1,1) into y=4x+b, we get
1=4(1)+b
reduce
1=4+b
subtract 4 from both sides
-3=b
and now we can add b=-3 into the original answer, and we get y=4x-3!
It costs $4.25 per game at the bowling alley.
plus $1.90 to rent shoes. If Wayne has $20.
how many games can he bowl?
Answer:
Wanye can only bowl 4 times.
Step-by-step explanation:
the expression for this equation is
20 = 4.25x + 1.90
subtract 1.90 from both sides
18.10 = 4.25x
See how many times 4.25 can go into 18.10
1.) 18.10 - 4.25 = 13.85
2.) 13.85 - 4.25 = 9.60
3.) 9.60 - 4.25 = 5.35
4.) 5.35 - 4.25 = 1.1
1.1 < 4.25 so you can't subtract it
the answer is 4 times
Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete
Answer:
8 full practice
Step-by-step explanation:
Given that :
Morning Practice hours Total = 12 hours
Afternoon practice hours total = 14 hours
practice length = 3 hours
Hence, Number of full practices attended :
practice hours / practice length
Morning : 12 / 3 = 4 practice sessions
Afternoon = 14 / 3 = 4.666 sessions
Hence, number of full practice completed = 4 + 4 = 8
Answer:
hope this helps .enjoy the rest of your day.
WILL GIVE BRAINLIEST!!!!! Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
A. You replaced y with 3 temporarily.
B. This is wrong because you can only substitute for x.
C. The equation becomes 3 = x – 2
D. The value of x is 5.
E. The equation y = x – 2 is still true, just with specific values.
Answer:
y=x-2
a. 3=x-2
b. this isn't wrong??
c. 3=x-2
d. add 2 to both side so taht x is on its own so 5=x
e. yes
Answer:
C and E
Step-by-step explanation:
Im not entirely sure about A, because you are substituting so technically you changed it but the equation is still true (just as E says) but with more specific values.
B is not right because you can replace either y or x
D is not right because if you switch the equation to get the value of x you would make x= -3-2 which would be -5, not 5.
Hope this helped :)
1/3 gallon of apple juice for 2.44 how much money for each gallon
Answer:
7.32
Step-by-step explanation:
2.44 times 3
So far this year, the average monthly revenue at the Somerville Times is $72,165. That is 25% less than the monthly average was last year. What was the average last year?
Answer:
The average last year was $96,220.
Step-by-step explanation:
From the information provided, you know that the average monthly revenue at the Somerville Times represents 75% of last year's monthly average and you can use a rule of three to find the value that represents 100%:
72,165 → 75%
x ← 100%
x=(72,165*100)/75
x=96,220
According to this, the answer is that the average last year was $96,220.
PLZZZ HELP ILL MARK BRAINLIEST Simplify the following expression by combining like terms.Select the most simplified expression 2w+5w -6 +4w
A.5W
B.11W - 6
C.7W -2
D.7W -6 + 4W
Answer:
B
Step-by-step explanation:
Like terms are the ones with same variables.
2w + 5w - 6 + 4w = 2w + 5w + 4w - 6
= (2 + 5 + 4)w -6
= 11w - 6
The most simplified expression 2w + 5w - 6 + 4w is 11w - 6. So, the correct option is B.
To find the most simplified expression 2w+5w -6 +4w.
First we simplify the given expression:
2w + 5w - 6 + 4w
(2w + 5w) = 7w.
7w - 6 + 4w
(7w + 4w) = 11w.
11w - 6.
Therefore, the most simplified expression 2w+5w -6 +4w is 11w -6.
Learn more about expression here:
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Giving brainiest explain answer
Answer:
B.) Carrier B
Step-by-step explanation:
The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.
Might be a bit confusing, but hope it helps.
A family paid $18,000 as a down payment for a home. If this only represents 12% of the price of the home, find the full price of the home.
Answer:
$150,000 (pls mark brainliest if possible)
Step-by-step explanation:
12% = $18,000
1% = $18,000/12 = $1,500
100% = $150,000
Answer:
20160
Step-by-step explanation:
If I am correct give me brainliest :)
12% of 18000 is 2160 and 18000+2160=20160
Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake.
Answer:
Step-by-step explanation:
Total cups of chocolate available = 7 1/3 cups
each batch uses 2/3 of a cup of chocolate
To get the number of batches of muffin Jim can bake, we will use the equality postulate.
1 batch = 2/3 cup of a chocolate
x batch = 7 1/3 cups of chocolate
Cross multiply
2/3 x = 7 1/3
2/3 x = 22/3
cross multiply
2x * 3 = 3 * 22
6x = 66
x = 66/6
x = 11
Hence Jim can bake at most 11 batches of muffins
Ms. Geetha said that 60 of her total students will compete in the Math Olympics. If 60 is 20% of her students, how many total students does she have?
Answer:
300 students
Step-by-step explanation:
There are two ways to solve this question.
Way Number 160 is 20% of the total students
20÷100= 0.2
60÷0.2=300
Therefore there are 300 students
Way Number 260 is 20% of the total students
60/20 = x/100
x= 60*100÷20
x= 6000÷20
x= 300
Therefore there are 300 students.
Solve for x. 3(5 + 4x) = 75
Answer:
3(5+4x) = 75
Step-by-step explanation:
Step 1: Distribute. --> 3(5+4x) = 75
15 + 12x =75
Step 2: Find X. ---> 15 + 12x = 75
-15 -15
12x = 60
Step 3: Divide. 12 12
Answer: x = 5
Answer:
X=5
Step-by-step explanation:
Combine like terms to write a simplified expression:
12p + 11 - 5p + 3
Answer:
7p + 14
Step-by-step explanation:
add 12p and -5p to get 7p
then add 11 and 3 to get 14
your equation will be 7p + 14
here is the answer
7p + 14.
Suppose that R and S are points on the number line.
If RS=12 and R lies at -14, where could S be located?
-0.85714285714
Just divide 12 by -14
Factoring trinomials
Select two for each
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factors of a quadratic polynomial.
1.) x^2 -7x-18 = (x-9) (x+2)
2.) x^2-x-42= (x-7) (x+6)
How many times does 50 go into 2769
Answer:
There are 55 times 50 in 2769.
-3(2x-3)=-6+9 How do you solve?
Answer:
Step-by-step explanation:
do u have to like determine if its true or not or solve the question?
2(4x+1) - 5x + 2 = 3x + 4 Help Please :)
Answer: All real numbers are solutions
Step-by-step explanation:
first lets distributive the 2(4x+1) to get 8x+2 because 2*4x= 8x and 2*1= 2
now the equation is 8x+2-5x+2= 3x+4
(COMBINE LIKE TERMS)
8x-5x=3x
2+2= 4
now the equation is 3x+4= 3x+4 (this means all real nubers are solutions)
Jack takes out a student loan for $6,000 at a simple interest rate of 11.3% per year. How much total
interest will Jack owe at the end of 6 years? Assume he does not make any payments during that time?
Answer:
$10,068
Step-by-step explanation:
Step-by-step explanation:
6000
100+11.3÷100=1.113
6000x1.113(^6)
=
11405.71
or 11405.70
As an estimation we are told £3 is €4. Convert £18 to euros
What is the difference between an image under a dilation with a scale factor 0 1
HELP PLEASE! WILL GIVE BRAINLESIT
Answer:
I think its bachelors, masters then doctorete
Step-by-step explanation:
Answer:
The last one is bachelors the middle is master and the top is doctorate
Step-by-step explanation
1.doctorate
2.master
3.bachelors
I need help ASAP!!!!
Answer: 3/8
ưhen x = 3
=> [tex]y=3(\frac{1}{2})^{3}=3.\frac{1}{8}=\frac{3}{8}[/tex]
Step-by-step explanation:
Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottles
of grape juice and 3 bottles of water for a total of $9.00. How much does the grape juice cost and the water?
Answer:
Bottle of water = $2Bottle of grape juice = $1.50Step-by-step explanation:
Grape juice = gWater = wEquations:
3g + 5w = 14.502g + 3w = 9.00Subtract the 3 times the second equation from the twice the first:
2*(3g + 5w) - 3(2g + 3w) = 2*14.50 - 3*9.006g + 10w - 6g - 9w = 29 - 27w = 2Then, finding g:
3g + 2*5= 14.503g = 14.50 - 103g = 4.5g = 1.50.(02.03 MC) Solve for x: |4x + 12| = 16 (5 points) ??.?.?.?.?
Answer:
x = 1 , − 7
Step-by-step explanation:
Find all solutions for x by breaking the absolute value into the positive and negative components.
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=−54, y-intercept = 2
slope=45, y-intercept=−1.6
slope=−45, y-intercept=−1.6
slope=54, y-intercept = 2
Months, m Plant height in inches, n
0 2
2 4.5
4 7
6 9.5
Answer: Slope = 5/4
y-intercept = 2
Step-by-step explanation:
We have the table:
Months, m Plant height in inches, n
0 2
2 4.5
4 7
6 9.5
We want a linear relationship to represent this table.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case we can select any pair of points, for example, i will choose the first two:
(0, 2) and (2, 4.5)
Then the slope is:
a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4
Then our line can be written as:
y = (5/4)*x + b
To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.
2 = (5/4)*0 + b
2 = b
Then our equation is:
y = (5/4)*x + 2.
Slope = 5/4
y-intercept = 2
Answer:
d
Step-by-step explanation:
I took the k12 test
In △XYZ, m∠Y = 55°, m∠Z = 74°, y = 15. Find the measure of angle X. If there is a 2nd triangle, write both measurements with the word AND in between. Round final answers to the nearest tenth.
Answer:
The measure of angle X is 51°.
Step-by-step explanation:
The sum of all interior angles of a triangle is 180°.
For the △XYZ it is provided that
m∠Y = 55°
m∠Z = 74°
Compute the measure of angle X as follows:
m∠X + m∠Y + m∠Z = 180°
m∠X + 55° + 74° = 180°
m∠X = 51°
Thus, the measure of angle X is 51°.
I need some help with these
Answer:
7) 1/2
8) 1/6
9) 2/3
10) 1/3
I hope this helped you! If it did, please consider pressing thanks, rating my answer, and marking as Brainliest. It would be a big help! Have a great day! :)
Sandra's bird feeder holds 3/5 of a cup of birdseed. Sandra is filling the bird feeder with a scoop that holds 1/10 of a cup. How many scoops of birdseed will Sandra put into the feeder?
Can you solve this problem please im having trouble with this question
Answer:
The answer is 3.7
Step-by-step explanation:
Use cross multiplication to set up the equation then simplify,
17y = 63
y = 63/17
y = 3.705
Round to the nearest tenth.
Solution is y = 3.07
Good luck!
Answer:
≈3.71
Step-by-step explanation:
To get from 17 to 9, you would divide by 17 and then multiply by 9, so in order to find y, you would multiply 7 by 9/17:
7 * 9/17
= 63/17
Now, you just have to simplify. That could be written as 3 12/17 if you turn it into a proper fraction, or if you turn it into a decimal, you would get about 3.71 (rounding to the tenths).
