Answers
Answer: 28
Step-by-step explanation:
Let x represent the digit in the tens place and y represent the digit in the ones place. xy → 10x + y
The square of the sum of the digits is 100.
EQ1: (x + y)² = 100 → x + y = 10
2 is subtracted from 3 times the number is the digits reversed.
EQ2: 3(10x + y) - 2 = 10y + x → 30x + 3y - 2 = 10y + x → 29x - 7y = 2
Solve the system of equations using the Elimination method:
EQ1: x + y = 10 → 7(x + y = 10) → 7x + 7y = 70
EQ2: 29x - 7y = 2 → 1(29x - 7y = 2 → 29x - 7y = 2
36x = 72
÷36 ÷36
x = 2
Substitute x = 2 into either of the equations to solve for y.:
EQ1: x + y = 10
2 + y = 10
y = 8
The digit is: 28
Related Questions
can I have the answer for c pleaseee ASAP
Answers
Answer:
a) -1/3 b) 3 c) y=3x-10
Step-by-step explanation:
I need help with this question please help
10x-7=13
Answers
10x -7 = 13
10x = 13+7
10x = 20
x = 20/10
x = 2
Which equation represents the vertical asymptote of the graph?
Answers
There is a hidden electric fence of sorts where the graph slowly approaches this vertical line but never touches or crosses it. It might help to draw in a dashed vertical line through -8 on the x axis.
A vertical asymptote occurs when a division by zero error happens. For instance, the equation y = 1/(x+8) has a division by zero error when x = -8 since x+8 = -8+8 = 0 is in the denominator.
Please help me thanks
Answers
Answer:
A. Pair 1
Step-by-step explanation:
B is just repositioned, C is a reflection, and D is also a reflection.
In the figure, m<7 = 100. Find the measure of <9.
Answers
As < 7 and angle < 9 are alternate interior angles, their sum will be equal .
Which means :-
[tex] < \: 7 = < \: 9[/tex]
[tex] < 9 = 100°[/tex]
Therefore , the value of <9 is 100° .
The magnitude of ∠9 will be same as that of ∠7 which is equal to 100°.
What are parallel lines?
Two or more lines that lie in the same plane, equidistant from each other and never intersect each other are known as parallel lines.
Given is ∠7 = 100°.
The lines u and t are parallel to each other. The alternate interior angles are equal in magnitude. From the figure it is clear that ∠7 and ∠9 are alternate interior angles. Therefore, we can say that ∠7 = ∠9 = 100°.
Therefore, the magnitude of ∠9 will be same as that of ∠7 which is equal to 100°.
To solve more questions on Angle Relationship, visit the link below-
brainly.com/question/16603400
#SPJ2
Line / passes through the origin and the point (3, 4). What is the slope
a line parallel to linel?
Answers
Answer: 4/3
Step-by-step explanation:
Slope of the line = (y2 - y1) / ( x2 - x1)
= (4 - 0) / ( 3 - 0 )
= 4 / 3
Which of the following is the best estimate for the total change in distance from the group of students' original position at the surface? Round to the nearest ten.
Answers
Answer:
- 20 feet
Step-by-step explanation:
Prove that: (1 + cos A)^2 - (1 - cos A)^2/
sin^2 A=
4cosec A. cotA
Answers
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
cosec x = [tex]\frac{1}{sinx}[/tex] , cot x = [tex]\frac{cosx}{sinx}[/tex]
Consider the left side
[tex]\frac{(1+cosA)^2-(1-cosA)^2}{sin^2A}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2cosA+cos^2A-(1-2cosA+cos^2A}{sin^2A}[/tex]
= [tex]\frac{1+2cosA+cos^2A-1+2cosA-cos^2A}{sin^2A}[/tex]
= [tex]\frac{4cosA}{sin^2A}[/tex]
= 4 × [tex]\frac{1}{sinA}[/tex] × [tex]\frac{cosA}{sinA}[/tex]
= 4cosecAcotA
= right side, thus proven
How many packs of DVDs can you buy with 150 dollars if one pack costs 15 dollars ?
Answers
Answer:
10 packs
Step-by-step explanation:
150 dollars divided by 15 dollars is 10.
How many lines of symmetry does the letter z have ?
Answers
Answer:
The Z is has no lines of symmetry. The W and Y have one line of symmetry. The X has two lines of symmetry.
Answer:
The letter Z has no lines of symmetry. No matter where you put a straight line through Z, it will never be symmetrical.
hope this helps! <3
i would like to keep track of how much candy i eat each day remember the y axis is vertical and axis is horizontal
Answers
Answer:then the days would be on the x axis (dependant variable) and the Amount of candy would be on the y axis(independent variable=something that can be changed)
Sort these by RULE into 3 groups
Answers
| | |
Three Groups
one two three
The height above the surface of the Earth (in meters) of a rock thrown into the air at 10 m/s after x seconds is given by f(x)=−9.8x2+10x+1.5. On the surface of the moon, the height is given by g(x)=−1.6x2+10x+1.5. How much higher does the rock travel on the moon than on Earth? The rock travels about __ meter(s) higher on the moon than on Earth.
Answers
Answer:
Rock travels about 8.2x²meters higher on the moon than on the Earth.
Step-by-step explanation:
Expression showing the height of a rock thrown into the air at Earth is,
f(x) = -9.8x² + 10x + 1.5
Similarly, expression showing the height of rock thrown on the moon is,
g(x) = -1.6x² + 10x + 1.5
Difference in the height of the rock thrown on moon = g(x) - f(x)
= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)
= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5
= 8.2x²
Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.
A square window has an area of x2 + 22x + 121 square feet. Find the length of one side of the square.
A) (x + 11) feet
B) (x – 11) feet
C) (x – 6) feet
D) (x + 6) feet
Answers
x + 11 ft
Step-by-step explanation:
x² + 22x + 121 ft² = area of square
x² + 11x + 11x + 121 ft² = side²
x(x + 11) + 11(x + 11) ft² = side²
(x + 11)(x + 11) ft² = side²
(x + 11)² ft² = side²
x + 11 ft = side²
5) Ana medía 1,42 m a principios de año. Pasados tres meses, medía 1.45 y a finales de
año, 1,51. ¿Cuándo creció más rápido, en los primeros tres meses o en el resto del
año?
Answers
creció más rapido en los primeros tres meses
explicación:
creció 1 cm (.01m) por mes en los primeros tres meses y creció 2/3 cm
(.0067m) por mes en el resto de año
Solve for x: −2(x + 3) = −2(x + 1) − 4.
A. 2
b. 3
C. All real numbers
D. No Solutions
Answers
Answer:
I got No solution, D.
Step-by-step explanation:
At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of regular chips. What is the probability that you will buy a regular drink and a regular bag of chips?
Answers
Answer:
I guess that the purchase is at random, then let's see the possible options:
5 diet drinks.
10 regular drinks.
Total drinks = 15
6 bags of fat-free chips
10 bags of regular chips.
Total chips = 16.
Probability of buying at random, a regular drink is equal to the number of regular drinks divided the total number of drinks:
p1 = 5/15 = 1/3
Probability of buying at random a regular bag of chips, we use the same reasoning as before.
p2 = 6/16 = 3/8
The joint probability will be equal to the product of the individual probabilities:
P = p1*p2 = (1/3)*(3/8) = 1/8.
Answer:
the answer is 5/12
Step-by-step explanation:
Pls does anyone know the answer I need it fast
Answers
Answer:
The first one is 120 and the second is 200
Step-by-step explanation:
The range value is the domain value times 40
Write the sentence as an absolute value inequality, then solve the inequality.
Half of a number n is at most 5 units from 14.
Answers
18≤n≤38 is absolute value inequality for the problem
find the perimeter of a triangle on a coordinate grid where a(-3,6), B(2,-6) and C(-3,-6)
Answers
Answer:
Step-by-step explanation: AB = 6-2=4 BC = 3 ( 3- ) = 6 ∙
Calulate AC find the formula ~ d = ≅[tex]\sqrt{x} 2-x1) + (x2 - y2) = 3,2 AC = \sqrt[n]{x} (3+3)2 + ( 2 - 6 ) 2 = \sqrt[n]{x} 36 + 16 = \sqrt{} 52 P = 4 + 6 \sqrt{} 52 17.21 to dec. places\\[/tex]You and your friend each purchase an equal number n of magazines. Your magazines cost $1.50 each and your friend's magazines cost $2 each. The total cost for you and your friend is $10.50. Write and solve an equation to find the number of magazines you purchased.
Answers
Given:
You and your friend each purchase an equal number n of magazines.
Your magazines cost = $1.50 each
Your friend's magazines cost = $2 each
Total cost = $10.50
To find:
The equation to find number of magazines you purchased.
Solution:
Your magazines cost = $1.50 each
Your friend's magazines cost = $2 each
Number of magazines purchased by you and your friend = n
Total cost = [tex]1.50n+2n[/tex]
It is given that total cost is $10.50.
[tex]1.50n+2n=10.50[/tex]
[tex]3.50n=10.50[/tex]
Divide both sides by 3.50.
[tex]n=\dfrac{10.50}{3.50}[/tex]
[tex]n=3[/tex]
Therefore, required equation is [tex]1.50n+2n=10.50[/tex] and the number of magazines purchased by you is 3.
Cypress Middle School wants to have a fundraiser to buy art supplies. Fundraiser A will give the school $1.50 for each order placed plus $75 as a bonus. Fundraiser B will give the school $3.00 for each order placed, but no bonus. How many orders must be placed in order for the total amount of money earned by each fundraiser to be the same? a 150 b.5 c.17 d.50
Answers
Answer:
50
Step-by-step explanation:
Let the number of orders required be x
Fund raiser A , 1.50 for each other plus bonus of 75
for x orders, we have 1.50 * x = 1.50x
Add the bonus = 1.50x + 75
Fund raiser B, $3 for each other , no bonus
Total from fund raiser B is 3 * x = 3x
So to make them equal, we ensure that e equate both values;
3x = 1.5x + 75
3x -1.5x = 75
1.5x = 75
x = 75/1.5
x = 50
50 orders will make both funds equal
Thomas spent $3.30 for 3 ice cream cones. Dan spent 2.50 for 2 ice cream cones. Who spent less per ice cream cone
Answers
Answer:
Thomas spent less per ice cream cone.
Step-by-step explanation:
Thomas spent $1.10 per ice cream cone.
Dan spent $1.25 per ice cream cone.
Suppose that a number written as a decimal has an infinite number of non-repeating digits after the decimal point. What is this number called?
Oirational
natural
unnatural
rational
Hell yall
Answers
Answer:
Irrational
Step-by-step explanation:
The number is called an irrational number.
These numbers have some distinct properties. The number of numbers after the decimal point is infinite. What this means is that it does not terminate. It keeps on repeating.
Also, these numbers cannot be represented as a ratio of two integers i.e two whole numbers. This is because they keep on going without termination.
Lastly is that these numbers do not repeat after decimal. What I mean by this is that they do not keep repeating a particular number after the decimal point. For example in cases like 2.33333; these are infinite too, but they can be represented by the ratio of two whole numbers and in such cases, they are not irrational in their own respect
Sasha can make the scarves in 8 hours. At this rate, how many can you earn in 28 hours?
Answers
Answer: you can make 3 full scarves in 24 hours .
Step-by-step explanation:
traslate 2 units right and 5 untis up
Answers
Answer:
The slope would be positive 5/2
Step-by-step explanation:
When finding slope you do rise over run. Or rise/run.
This is rise |
This is run __
So going up or down is a rise.
And going left or right is a run.
Did this help??
630 divided 18 please I need to know ASAP!!
Answers
Answer:
35 :)
Step-by-step explanation:
Answer: 35
Step-by-step explanation:
D = Divide
M = Multiply
S = Subtract
B = Bring down
h-(-2.22)=-7.851 solve for h
Answers
Answer:
[tex]\boxed {h = -10.071}[/tex]
Step-by-step explanation:
Solve for the value of [tex]h[/tex]:
[tex]h - (-2.22) = -7.851[/tex]
The opposite of [tex]-2.22[/tex] would be [tex]2.22[/tex]:
[tex]h - (-2.22) = -7.851[/tex]
[tex]h + 2.22 = -7.851[/tex]
-Subtract both side by [tex]2.22[/tex]:
[tex]h + 2.22 - 2.22 = -7.851 - 2.22[/tex]
[tex]\boxed {h = -10.071}[/tex]
So, the value of [tex]h[/tex] is [tex]-10.071[/tex].
Angle Z is 21 degrees larger than twice the measure of angle T. If ∠Z and ∠T are supplementary, what is the measure of angle T? *
Answers
angle T = x
angle Z = 2x + 21
We know that supplementary angles add up to 180 degrees.
180 = x + 2x + 21
Combine like terms.
180 = 3x + 21
Subtract 21 from both sides.
159 = 3x
Divide both sides by 3
53 = x
angle T = 53 degrees
3х + 5у = -3
x+2y = - 4/3
Answers
X =2/3