The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the reversed number. Find the number.
Answer:
The number is 62
Step-by-step explanation:
Let the digits of the number be T and U;
A 2 digit number is represented as: 10T + U
So,
[tex]T + U = 8[/tex]
[tex]10T + U - (10U + T) = 10 + 10U + T[/tex]
Required
Find the digit
Make U the subject in the first equation
[tex]U = 8 - T[/tex]
Substitute 8 - T for U in the second
[tex]10T + U - (10U + T) = 10 + 10U + T[/tex]
[tex]10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T[/tex]
[tex]10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T[/tex]
[tex]10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T[/tex]
Collect Like Terms
[tex]10T + 10T - T- T + 8 -80 = 10 + 80 - 10T+ T[/tex]
[tex]18T -72 = 90 - 9T[/tex]
[tex]9T + 18T = 90 + 72[/tex]
[tex]27T = 162[/tex]
[tex]T = 162/27[/tex]
[tex]T = 6[/tex]
Recall that:
[tex]U = 8 - T[/tex]
[tex]U = 8 - 6[/tex]
[tex]U = 2[/tex]
Hence, the number is 62
-4(1+ 5-6- (42+5)
I really need the answer asap please and thanksss
Answer:
Read left to right
Do parenthesis first
-4 ( 1 + 5) ^2
-4 (6) ^2
Then exponent
6^2 = 6 x 6 = 36
-4 x 36 = -144
Then divide
-144 / 6 = -24
Then the next parenthesis
(42+5) = 47
-24 - 47 = -71
Step-by-step explanation:
Solve each system by elimination.
1) -r – 2s + t = 1
6r - + 4t = -28
-3r + 5s – 4t = 26
Answer:
s = 54/31
r= -156/31
t= -17/31
Step-by-step explanation:
m to the power of 4 =
when m is 2/3
plz help me
Answer:
WAIT I MESSED UP DONT ANSWER THAT
Step-by-step explanation:
Answer:
[tex]\frac{16}{81}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} ^{4} = \frac{16}{81}[/tex]I hope this helps!
y = 6x - 10
y = 2x + 2
Answer:
1. x= 5/3 or 1.6 and y= -10
2. x= -1 and y= 2
Step-by-step explanation:
1. y= 6x - 10, 0= 6x - 10, -6x= -10, x= 5/3
2. y= 2x + 2, 0= 2x + 2, -2x= 2, x= -1
PLEASE PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST TO FIRST PERSON THXXX
Answer:
x<1200
X is the number of seats
X>3
Step-by-step explanation:
\large{\dfrac{2.64\times 10^{-3}}{8.0\times 10^{0}}} =\ ?
8.0×10
0
2.64×10
−3
Answer:the answer is option a. it involves organizing events in the order in which they occurred.
Step-by-step explanation:
what is 14+8.12 – 42
Answer:
-19.88
Step-by-step explanation:
hope this helps :)
❅ Answer:
-19.88
❅ Step-by-step explanation:
Add 14 + 8.12 which gives you 22.12. Now subtract 22.12 by 42 = -19.88
Hope this helps! By: BrainlyAnime~
♡ Thank you and have a wonderful day ♡
2xy^2 ( - 3x^2 y^2 + 4x)
Answer:-6x^3y^4+8x^2y^2
Step-by-step explanation:
what is the value of X that makes equation true? -5(2x - 3) + 4x = -3x + 6
Answer:
the value of x is -2
it was pretty simple if in wrong im sorry
The answer to the equation -5(2x - 3) + 4x = -3x + 6 is x=3
if you have s3x 365 times how much is it a day?
this was from my math book
Answer:
Okay first okay this was not from your math book people actually need help on questions and here you are.
Step-by-step explanation:
Find m 5
Lines L and M are parallel
Answer:
142
Step-by-step explanation:
<38 and <6 are vertical angles so they both measure 38
<6 and <5 are same side interior angles so they add up to 180
knowing this, you can simply subtract 38 from 180 to find <5
180 - 38 = 142
A baker has 5 bags of raisins in the cupboard. Each bag weighs 24 ounces. How many pounds of raisins does the baker have in the cupboard?
Answer:
7 1/2 pounds
Step-by-step explanation:
5 x 24 = 120
16oz = 1 pound
120oz = 7 1/2 pounds
Answer:
7.5 lbs of raisins
Step-by-step explanation:
24 x 5 = 120 ounce (oz)
1 lb = 16 oz
120 ÷ 16 = 7.5 lbs
what is the equation of the line that passes through the point (4,-5) and is parallel to the line y=1/2x+5
Answer:
y=1/2x - 7
Step-by-step explanation:
Since the lines are parallel, this means that the slopes will be the same, only the y-intercept will change. I graphed this out to find the answer.
Write the equation of the line that passes through (-3, -20) and (1,4).
Answer:
y=6x-2
Step-by-step explanation:
The equation of the line is y=mx+b
FINDING SLOPE: To find the slope of a given line use the equation [tex]\frac{y2-y1}{x2-x1}[/tex]
So x1=-3, y1=-20 and x2=1, y2=4
Plug those numbers into the equation: [tex]\frac{4-(-20)}{1-(-3)}[/tex] and we get the slope which is 6.
FINDING Y-INTERCEPT: Then we find the y intercept by plugging in our points (you can choose) I will use (1,4) and solve.
y=6x+b
4=6(1)+b
b=-2
Evaluate the expression 2[x(2y+3z)] when x=8, y=3, and z=1. Show all steps below.
plz help me and show steps
Answer:
Step-by-step explanation:
Putting values
2[8(2(3)+ 3(1)]
2(8(9)
2(72)
144
GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
Similar triangles may or may not be congruent.
The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] , [tex]\mathbf{YZ \cong PQ}[/tex] , [tex]\mathbf{X \cong N}[/tex] , [tex]\mathbf{NQ \cong XQ}[/tex] , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex] , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ, KJ and RS, QS and LJQuestion 1 to 6:
Triangles XYZ and NPQ are similar triangles.
This means that:
Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles
Question 7 to 12:
Triangles LMN and CBA are similar triangles.
This means that:
[tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{2y-12 = z + 12}[/tex]
Collect like terms
[tex]\mathbf{2y= z + 12+12}[/tex]
[tex]\mathbf{2y= z + 24}[/tex]
Make z the subject
[tex]\mathbf{z = 2y -24}[/tex]
Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]
[tex]\mathbf{14y -168 + 6 = 5y}[/tex]
[tex]\mathbf{14y -162 = 5y}[/tex]
Collect like terms
[tex]\mathbf{14y -5y = 162}[/tex]
[tex]\mathbf{9y = 162}[/tex]
Divide both sides by 9
[tex]\mathbf{y = 18}[/tex]
Recall that: [tex]\mathbf{z = 2y -24}[/tex]
[tex]\mathbf{z = 2 \times 18 - 24}[/tex]
[tex]\mathbf{z = 12}[/tex]
[tex]\mathbf{L = 60}[/tex]
[tex]\mathbf{LN = 2y - 12}[/tex]
[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]
[tex]\mathbf{LN = 24}[/tex]
[tex]\mathbf{C = L}[/tex]
[tex]\mathbf{C = 60}[/tex]
[tex]\mathbf{AC = LN}[/tex]
[tex]\mathbf{AC = 24}[/tex]
Question 13:
The congruent parts are: KL and RQ, KJ and RS, QS and LJ
Read more about congruent and similar triangles at:
https://brainly.com/question/19589236
Factor the expression completely, -12.75 + 4.25x
⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50
Answer:
The answer is A
Step-by-step explanation:
Camie: $5x + $50 = $55 ( for now/i think)
Jorge: $7x
The equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
The correct option is (A)
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Given:
Camie saves $5 per week plus $50 she receives for her birthday.
Jorge saves $7 per week.
Now, Jorge have to achieve the same amount as Camie.
let w be the number of weeks.
Then equation can be represented as
7w = 5W + 50
Here 7w is amount by Jorge and 5W + 50 is amount of Camie.
Hence, the equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
Need help please ASAP
Answer:
D
Step-by-step explanation:
You have 4 chairs originally, added 2 and if you separate the tables you would get T=whatever the number is. i think
68 first-graders and 17 other students attended a school assembly. What percentage of the students at the assembly were first-graders?
Answer:
0.25
Step-by-step explanation:
slope for (1,5) (3,4)
Answer:
-1,2
Step-by-step explanation:
4-5=-1
3-1=2
y2-y1
x2-x1
Plzz help if u can plzzzz
Answer:
I think 32
I'm not sure
14 out of 22 students in 1st period passed the math assignment. What is the ratio of the students who passed to those who did NOT pass?
Answer:
14:8
Step-by-step explanation:
Maria spends 910 hours on her art project. Juan spends 26 hours on his art project. Which answer is the most accurate estimate for how much more time Maria spends on her art project than Juan spends on his? A 0 hours B12 hour C34 hour D1 hour
Answer:
3/4
Step-by-step explanation:
ok you need the anser her it is fris 91/0 hours and 26 do the math do you add or subtract? ok its can be a little trick but 3/4 is the anser.byeee let me know if its right
Determine the GCF of 18xy and 12xy
Answer:
If im correct im pretty sure its 6xy
The GCF of 18xy and 12xy is 6xy.
What is Greatest Common Factor?The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor.
18 and 24 share one 2 and one 3 in common.
, so 2 x 3 = 6 is the GCF of 18 and 24.
Given:
18xy and 12xy
now, factoring the above terms
18xy = 2 × 3 × 3 × x × y
12xy= 2 × 2 × 3 × x × y
So, 18xy & 12xy = 2 x 3 xy = 6xy
hence, the GCF of 18xy and 12xy is 6xy.
Learn mor about GCF here:
https://brainly.com/question/11444998
#SPJ2
what is the slope intercept formula
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y=mx+b
Explanation:
The slope-intercept formula is y=mx+b. The b represents the y-intercept, which is the point where a line on a graph meets the y-axis. The coordinates for this would be (0,b). The m represents the slope, which is the rate of change. The x represents any x variable that you plug in. The y represents the y variable.
Find the slope of the line through each pair of points. (-13, -3) (4, 5)
Answer:
the answer is [tex]m=\frac{8}{17}[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
What is the Remainder when using long Division?
Answer:
it's the number that u end up with at the bottomof the division process. hope this helps...
Step-by-step explanation:
Answer:
[tex] {2x}^{2} + 3x - 11 + \frac{19x + 23}{ {x}^{2} + 2x + 2} [/tex]
Also, the term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.
Find the zero of the function f(x) = -8x + 4.
a. -1/2
b. 2
c. -2
d. 1/2
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
f(1/2)=-8(1/2)+4 = 0
