Answer:
Step-by-step explanation:
Let the two digits be x and y, where x is the tens digit and y is the units (ones) digit.
Then the number is 10x + y.
From the question,
The sum of the digits in a two digit number is 14,
That is, x + y = 14 ....... (1)
Also, from the question,
If you reverse and double the original number, and then add the result to the original number, the sum is 222
If the number is reversed, the new number will be 10y + x; and if this is doubled, we will get 2(10y + x).
Now, if this is added to the original number (10x + y), the sum is 222.
That is,
2(10y + x) + (10x + y) = 222
Then,
20y + 2x + 10x + y = 222
12x + 21y = 222 ........ (2)
Now, we will bring the two equations together and solve simultaneously.
x + y = 14 ....... (1)
12x + 21y = 222 ........ (2)
From equation (1)
x + y = 14
Then, x = 14 - y ...... (3)
Substitute the value of x in equation (3) into equation (2)
12x + 21y = 222
12(14 - y) + 21y = 222
168 - 12y + 21y = 222
168 + 9y = 222
9y = 222 - 168
9y = 54
∴ y = 54/9
y = 6
To determine x, substitute the value of y into equation (3)
x = 14 - y
∴ x = 14 - 6
x = 8
∴ x = 8 and y = 6
Recall that, the two digits are x and y, where x is the tens digit and y is the units (ones) digit.
Hence, the original number is 86.
What is the answer to 4x+y=10
Answer:
y = -4x + 10
Step-by-step explanation:
I am going to assume you are trying to write the equation of a line.
4x + y = 10
4x - 4x + y = 10 - 4x
y = -4x + 10
A map of Rockbridge County has a scale factor of
2.5 in = 5 mi
if the actual distance from Fairfield to Lexington is 12 miles what is the distance on the map?
(plzzz show work I'm doing a test rn thats half my grade plzzzzzz)
Answer: 6 inch
Step-by-step explanation:
From the question, we are informed that a map of Rockbridge County has a scale factor of 2.5 in = 5 miles.
When the actual distance from Fairfield to Lexington is 12 miles, the distance on the map will be:
= 12/5 × 2.5
= 2.4 × 2.5
= 6 inch
What method can be used to prove the triangles below are congruent
Answer: AAS
Step-by-step explanation:
The congruent sides and angles form AAS. the triangles are congruent by the AAS theorem.
By AAS property Triangles are congruent, option B is correct.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
In the given triangles ABC and CDE,
∠A=∠E and side AB = DE
By vertically opposite angle property,
∠ACB = ∠DCE
Therefore, in triangles ABC and CDE, two angles are equal, and one side is equal.
By Angle-Angle-Side property, both the triangles are congruent.
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What is the equation of the line in standard form?
x−6y=−9
3x−y=−6
x + 6y = 9
3x + y = 6
Here is my answer for you:
Graph each equation, until you find the one that lines up.
Below is a picture of all the equations on a graph.
Your answer is already in standard form, x-6y=-9.
Answer:
x−6y=−9
Step-by-step explanation:
I have a few minutes left please help
9. Which of the following is the correct point-slope which of the following is the correct point-slopes equation of the linear relationship
with m = -5 and point (7,9)?
y - 7 = 9(x - 5)
y - 7 = 5(x - 9)
y - 5 = 7(x - 9)
y - 9= -5(x - 7)
Answer:
y - 7 = 9(x - 5)
Step-by-step explanation:
Answer:
The answer is y - 9= -5(x - 7)
Step-by-step explanation:
hope this helps
y= mx+b
9= -5(7)+b
9 = -35+b
+35 +35
44=b
So the point slope is y=-5x+44
y - 9= -5(x - 7)
y-9=-5x+35
+9 +9
y=-5x+44
Help? I'll mark brainliest
Answer:
x=6 y=3
Step-by-step explanation:
x=y+3 replace that in the other problem x+3=3y becomes y+3+3= 3y. solve and get y=3. replace in x=y+3 to get x=6
Two lines, R and M, are represented by the following equations:
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equations?
Answers:
It is (18,9).
It is (9, 18).
There are infinitely many solutions.
There is no solution.
what is the slope of the line (please help quick)
678x7689 what would be that answer
Answer:
5213142
Step-by-step explanation:
Answer:
5213142
Step-by-step explanation:
my best guess for u
identify the y intercept of g(x)=5x
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is 0 .
Step-by-step explanation:
hope this helps
Find the coordinates of the vertices for T23.-2-(QRST).
y
Q
S
R
Q-
RE
SE
TE
You are analyzing survey results regarding whether or not people like low-cal buter or regular butter. 47 said they preferred low-cal and 59 said they preferred regular. What is the ratio of those who prefer the low-cal to those who prefer the regular?
Answer:
47:59
Step-by-step explanation:
What is the constant of proportionality, y/x?
Answer:
k
Step-by-step explanation:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
This one I can’t figure out! It has fractions too..
Answer:
3x+ 5 1/3
Step-by-step explanation:
Answer:
it is 3x + 16/3
Step-by-step explanation:
distribute the 3 to x and 1 then add three to 2 and 1/3.
Which statements regarding the diagram Triangle EBC are true? Select three options
•Angle BEC is an exterior angle
•Angle DEC is an exterior angle
•Angle ABE and EBC are supplementary angles
•Angle BCF and DEC are supplementary angles
•Angle BEC us a remote interior angle to exterior angle BCF
Triangle EBC have interior angles and exterior angles. The three appropriate options to the given question are:
B. Angle DEC is an exterior angle
C. Angle ABE and EBC are supplementary angles
E. Angle BEC is a remote interior angle to exterior angle BCF
An exterior angle is one that lies outside a given figure. Thus, it is not an interior angle of the figure. While an interior angle is an angle within the boundaries of the figure.
Supplementary angles are two or more angles whose measures add up to the value of angle on a straight line (i.e [tex]180^{o}[/tex]).
Thus considering the given triangle EBC, the appropriate options to the question are:
B. Angle DEC is an exterior angle
C. Angle ABE and EBC are supplementary angles
E. Angle BEC is a remote interior angle to exterior angle BCF
These three options best describes the relationships among the angles of the triangle.
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Answer:
bce
Step-by-step explanation:
took the test
porfaovr ayuda!!!!muchas gracias porfis
Answer:
I wish i could help, but i dont understand spanish
Step-by-step explanation:
what is the slope of x+y=-4?
Answer:
the slope is 1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The function f(t)=-16t^2+10
Answer:
f=−16t^2+10
Mark me brainllest :)
Write the slope- intercept form of the equation of the line through given points.
Answer:
[tex]\boxed{\sf{y=-5x+8}}[/tex]Step-by-step explanation:
You can solve this problem using the slope formula and slope-intercept formula.
Slope formula:
[tex]\Longrightarrow: \sf{m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]
Slope-intercept formula:
[tex]\Longrightarrow: \sf{y=mx+b}[/tex]
M: represents the slope.B: represents the y-intercept.(1,3) and (2,-2)
y2=(-2)
y1=3
x2=2
x1=1
Rewrite the problem.
[tex]\sf{\dfrac{-2-3}{2-1}=\dfrac{-5}{1}=-5 }[/tex]
The slope is -5.y-intercept is 8.Rewrite the problem.
y=-5x+8
Therefore, the correct answer is y=-5x+8.I hope this helps you! Let me know if my answer is wrong or not.
What are the slope and the y-intercept of the linear function shown on on the graph below?
Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Helppppppppppppp pleaseee
Answer:
10
Step-by-step explanation:
you get a extra 2 because there is 1/4 left over x 8
Identify the name for the 12 and 4 in the expression. 12x + 4y - 5
A.variables
B.terms
C.coefficients
D.constants
A school psychologist at a large high school took a random sample of 16 students and asked how much sleep they get on a typical weekend night. The sample data were roughly symmetric with a mean of 8.75 hours and a standard deviation of 1.5 hours
Answer:
8.75 +/- 0.657
Step-by-step explanation:
The 90% confidence interval for the mean amount of sleep this population of students gets on a typical weekend night is 8.75±0.617
What is confidence interval?A confidence interval is a range around a measurement that conveys how precise the measurement is.
Given that, The sample data were roughly symmetric with a mean of 8.75 hours and a standard deviation of 1.5 hours, the confidence level value is 90%
confidence interval = x ± z·s/√n
= 8.75±1.645·1.5/√16
= 8.75±0.617
Hence, the 90% confidence interval for the mean amount of sleep this population of students gets on a typical weekend night is 8.75±0.617
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What is the y-intercept of y = -3x
Answer:
X=0
Step-by-step explanation:
I need it by tonight please. Explain a little too
what is the answer for 12*12 ?
Answer:
144
Step-by-step explanation:
Hope this helps! God bless you!
[tex]1 \div \frac{1}{2} \div \frac{1}{3} [/tex]
Answer:
4
Step-by-step explanation:
simplify (5+2i)(1-3i)
Answer:
5-15i+2i-6(i^2)
-6(i^2)-13i+5
Which expression is equivalent to (x23)32
Answer: 32x exponent 23
Step-by-step explanation:
The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ (x²³)³²
We know that if [tex]\rm \left ( n ^{a} \rigth )^{b} = n^{a \times b}[/tex], then we have
[tex]\rm \rightarrow \left (x^{23} \right ) ^{32}\\\\\rightarrow \left (x \right ) ^{23 \times 32}[/tex]
Simplify the expression, then the expression will be given as,
⇒ x⁷³⁶
The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.
The complete question is given below.
Which expression is equivalent to (x²³)³²?
A. x⁵⁵
B. x⁷⁶⁸
C. x⁶⁶
D. x⁷³⁶
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4. (02.06 MC)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Answer: See explanation
Step-by-step explanation:
Diameter = 8 inches
Radius = Diameter/2 = 8/2 = 4 inches
Height of the cylinder = 3 inches
Height of the cone = 18 inches
Volume of a cylinder = π r² h
= 3.14 × 4² × 3
= 3.14 × 16 × 3
= 150.72
Volume of a cone = 1/3 π r² h
= 1/3 × 3.14 × 4² × 18
= 1/3 × 3.14 × 16 × 18
= 301.44
From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.
