Answer:
The original number is 47.
Step-by-step explanation:
A and C when reversed make a number less than the original value.
D when reversed makes 83 which is 45 more than 38, the original number.
C, when reversed, gives 74 which is 24 more than 47, the original value.
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Side note:
All number's digits add up to 11.
If 4–(x – 4) = 1 over 16 what is the value of x?
Answer:
4x+4=16
4x= 16–4
4x= 12
x= 12/4
x= 3
Alternatively,
4x+4=16
Taking 4 common,
4 (x+1) = 16
x+1 = 16/4
x+1 = 4
x = 4–1
x = 3
Step-by-step explanation:
The value of x is 68.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.
Given equation:
4/(x - 4) = 1 /16
Now, solving for x
4/(x - 4) = 1 /16
64 = x - 4
x= 68
Hence, the value of x is 68.
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Help picture below problem 13
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]
Thus the missing side length is 12 cm
Hope that helps!
Can someone please help with this. I’m stuck.
Answer:
567 ghbvc. the high but
Step-by-step explanation:
solve accordingly to the picture
hope it helps
so urgent pls
Answer:
B
because if you were looking for time that is less than and equal to you would have to choose (c) as you answerPLEASE HELP WILL GIVE BRANLIEST
hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.
Answer:
They'll each want a quarter of a cupcake.
Step-by-step explanation:
The number of people in the family is 14.
The number of cupcakes ordered is 4.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Number of cakes for the family = 3 (1/2)
Number of friends = 2
Now,
Each person's amount of cake = 1/4
The number of people in the family.
= 3(1/2) ÷ 1/4
= 7/2 x 4
= 14
The total number of cupcakes ordered.
= 2 x 1/4 +3(1/2)
= 1/2 + 3(1/2)
= 1/2 + 7/2
= 8/2
= 4
Thus,
There are 14 people in the family.
The total number of cupcakes ordered is 4.
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The complete question is:
Hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.
They'll each want a quarter of a cupcake.
You randomly draw twice from this deck of cards
0 с G|F. D C G
What is the probability of not drawing a C, then not drawing a C,
without replacing the first card? Write your answer as a decimal
rounded to the nearest hundredth.
The probability of not drawing C in neither draw is P = 0.5
How to get the probability?
All the cards have the same probability of being drawn, in this case, our set of cards is {F, D, C, G}
The probability of not drawing C is equal to the probability of drawing F, D or G. So we have 3 options out of 4, then the probability is:
p = 3/4.
Now we draw another, this time there are 3 cards, one of these is C, and the other two cards are not C. Then the probability of not drawing C again is equal to 2 over 3.
q = 2/3.
The joint probability (for both of these events to happen) is equal to the product of the individual probabilities:
P = p*q = (3/4)*(2/3) = 0.5
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Use rounding to estimate the product of 5, 555 and 4, 444. Round both numbers to the nearest thousand to find your answer.
The solution is
Step-by-step explanation:
5,555 can be rounded up to 6,000 because the 5 next to the five thousand will make it go up. while the 4,444 will round to 4,000 . I don't have a clear answer but I hope this helps.
Write a function in vertex form that is translated 3 units down and 3 units to the right of f (x) = x^2
f (x) =
Answer:
f(x)= (x-3)^2-3
Step-by-step explanation:
Vertex Form: y= a(x-h)^2+k
a is the reflection
h and k are the vertex so in an ordered pair (x,y) = (h,k)
Since it is translating 3 units down it is going to be a negative 3. If it was translating up it would be positive 3. This represents the "k" because it is moving on the y-axis.
Since it is translating 3 units to the right it is going to be positive 3. If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.
After plugging it into the vertex form formula: f(x)= (x-3)^2-3
*notice when I plugged the "h" in it became negative because x-(3)= x-3*
Solve the equation.
−10x + 1 + 7x = 37
x = −15
x = −12
x = 12
x = 15
Write an inequality for the graph shown below.
User for your variable.
X
o
?
Answer:
3 > x
Step-by-step explanation:
3 is larger than all of the values on the line, of which the arrow is pointing. The circle is open, so it means that it is not greater than or equal to.
I hope this helps!
-No one
when a square's side is two units long,its perimiter is eight units
Answer:
Yes
Step-by-step explanation:
Because it has 4 sides and 4 x 2 = 8
Find the sum of a finite arithmetic sequence from n=1 to n=5 using the expression -3(4)^n-1
Answer:
Step-by-step explanation:
Arithmetic sequaence:
[tex]\sf a_n = -3(4)^n - 1\\\\a_1=-3*4^1 -1\\\\ = -3*4 - 1\\\\ = -12 - 1\\\\a_1=-13[/tex]
[tex]a_2 = -3*4^2-1\\[/tex]
= -3*16 -1
= -48 - 1
= -49
difference = second term - first term
= -49 -(-13)
= -49 + 13
d = -36
[tex]\boxed{S_n=\dfrac{n}{2}[2a + (n-1)d]}[/tex]
[tex]\sf S_5=\dfrac{5}{2}*[2*(-13} + 4*(-36)]\\\\ =\dfrac{5}{2}[-26-144]\\\\=\dfrac{5}{2}*(-270)[/tex]
= 5*(-135)
= -675
Which expressions are equivalent to 10/10^3/4?
[tex] \frac{10}{10 {}^{ \frac{3}{4} } } = 10 {}^{1 - \frac{3}{4} } = 10 { }^{ \frac{4 - 3}{4} } [/tex]
[tex]10 {}^{ \frac{ 1}{4} } [/tex]
Answer: B and D
Step-by-step explanation:
Edge 2023
SOMEONE PLEAASE HELP ME ASAP THIS IS DUE SOON
14. Now simplify the y-terms to get the equation of the parabolic path. You do not need to expand the x-term. (2 points) Hint: Square both sides to get rid of the square root
______________
√ (x - 7)^2 + (y - 9)^2 = (y - 4)
Answer:
Assuming a vertical axis of symmetry, the equation would be of the form y = ax^2 + bx + c which can also be written as y = a(x - h)^2 + k. Case 1: If the two points have the same y value, then the axis of symmetry will pass through the midpoint of the segment between them.
Step-by-step explanation:
An equation is formed of two equal expressions. The given equation can be simplified for y as y=(x²-14x+114)/10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as shown below,
[tex]\sqrt{\left(x\:-\:7\right)^2\:+\:\left(y\:-\:9\right)^2}=\left(y\:-\:4\right)[/tex]
(x - 7)² + (y - 9)² = (y - 4)²
(x - 7)² = (y - 4²) - (y - 9)²
(x² + 49 - 14x) = (y² + 16 - 8y) - (y² + 81 - 18y)
x² + 49 - 14x = y² + 16 - 8y - y² - 81 + 18y
x² + 49 - 14x = 10y - 65
x² - 14x + 49 + 65 = 10y
x² - 14x + 114 = 10y
y = (x² - 14x + 114)/10
Hence, the given equation √[(x-7)²+(y-9)²]=(y-4) can be simplified for y as y=(x²-14x+114)/10.
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A patio in the shape of a trapezoid has vertices at (4, 1), (5, 4), (9, 4), and (9, 1).
A 4.1
B 5.4
C 9.4
D 9.1
NEED THIS ANSWER ASAP!!!
Answer: See attached
Step-by-step explanation:
Coordinate points come in (x, y) so we graph them as so.
(4, 1) - Starting at (0, 0), also known as the origin, move four units right and one unit up. Plot point A here.
(5, 4) - Starting at (0, 0), also known as the origin, move five units right and four units up. Plot point B here.
(9, 4) - Starting at (0, 0), also known as the origin, move nine units right and four units up. Plot point C here.
(9, 1) - Starting at (0, 0), also known as the origin, move nine units right and nine units up. Plot point D here.
simplify 5/9x4 3/5x6 3/11x6/10 and 3 4/5x7 1/2
Answer:
529/55 and 57/2
Step-by-step explanation:
What is the equation for the circle with center (-9, 5) and radius 4
Answer:
[tex]\sf (x+9)^2+(y-5)^2=16[/tex]
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center of the circle and r is the radius)
Given:
center = (-9, 5)radius = 4Substituting given values into the equation:
[tex]\sf \implies (x-(-9))^2+(y-5)^2=4^2[/tex]
[tex]\sf \implies (x+9)^2+(y-5)^2=16[/tex]
Equation:-
(x-h)²+(y-k)²=r^2(x-(-9))2+(y-5)^2=4^2(x+9)^2+(y-5)^2=16x^2+18x+81+y^2-10x+25=16[/tex][tex]\\ \rm\rightarrowtail x^2+y^2+8x+90=0[/tex]PLEASE HELP PLEASE help
Answer:
Q. Equal
Step-by-step explanation:
"The same" means equal. Its kind of like equations.
1 is equal to 1 they are the same number
answer: Equal
Step-by-step explanation: being the same in quantity, size, degree, or value.
125% of what number is 80?
Oa 36
Oь 40
Os 64
Od 72
Answer:
d. 72
Step-by-step explanation:
Answer :D
64
Step-by-step explanation:
We have, 125% x x = 80
or [tex]\frac{125}{100}[/tex] x x = 80
Multiplying both sides by 100 and dividing both sides by 125,
we have x = 80 x [tex]\frac{100}{125}[/tex]
x = 64
(or just divide 80 x 100 ÷ 125)
Hope this helps - Answered by Lilo
Find the value of x. AB=20 BC=6 CD=8
Step-by-step explanation:
there is the rule
outside length × (outside length + inside length) is the same for all lines originating from the same point.
so, we have
CD(CD + x) = BC(BC + AB) = 6(6+20) = 6×26 = 156
8(8 + x) = 156
8 + x = 19.5
x = 11.5
Some students are sharing pens among themselves. If each gets 5, no pens will be left. If each gets 3, 12 pens will be left. How many students are there?
Answer:
6 students
Step-by-step explanation:
Let x = number of students
Let y = total number of pens
Given:
If each student gets 5 pens, no pens will be left⇒ 5x = y
Given:
If each students gets 3, 12 pens will be left.⇒ 3x = y - 12
Substitute 5x = y into 3x = y - 12 and solve for x:
⇒ 3x = 5x - 12
⇒ 12 = 5x - 3x
⇒ 2x = 12
⇒ x = 6
Therefore, there are 6 students.
John multiplies one side of the equation 20 + 48 = 68 by a number s. What does he need to do balance the equation?
In order to balance the equation, John should multiply the second side of the equation by s.
Why?
Remember the Golden Rule of Algebra:-
[tex]\bigstar{\boxed{\sf{Whatever~you~do~to~one~side,~you~do~to~the~other.}}[/tex]
So if you multiply 1 side of the equation by s, you multiply the second side by s.
Please tell John about the Golden Rule of Algebra ;)
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
In your own words, name the two operations used for converting weight measurements, and describe when to use each.
What are the 2 operations that you use to convert weight? I'm confused.
Is it multiplying and dividing?
Answer:
In physics the standard unit of weight is Newton, and the standard unit of mass is the kilogram. On Earth, a 1 kg object weighs 9.8 N, so to find the weight of an object in N simply multiply the mass by 9.8 N. Or, to find the mass in kg, divide the weight by 9.8 N.Divide the object's weight by the acceleration of gravity to find the mass.
Step-by-step explanation:
this is what i think
Write the number in standard form
and word form.
7 x 10 + 5 x 1 + 6 x (1/100) + 2 x
(1/1,000)
Answer:
75.062
Step-by-step explanation:
just add and multiply then remember that 1/100 or 1/1000 is just 0.001 or 0.01
Reflect the given triangle over
the x-axis.
[_
3 6 31
-3 3 3.
3 [?]
13
UD
[
[3 6 3]
( 3 3. 3]
THIS ANSWER IS CORRECT
Solution:
[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]
Explanation:[tex]\sf \left[\begin{array}{ccc}3&6&3\\-3&3&3\\\end{array}\right][/tex]
The rule for a reflection over the x -axis is (x,y) → (x,−y)
===============================================================
or multiply the matrix with: [tex]\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right][/tex]
[tex]\dashrightarrow \ \sf \begin{pmatrix}1\cdot \:3+0\cdot \left(-3\right)&1\cdot \:6+0\cdot \:3&1\cdot \:3+0\cdot \:3\\ 0\cdot \:3+\left(-1\right)\left(-3\right)&0\cdot \:6+\left(-1\right)\cdot \:3&0\cdot \:3+\left(-1\right)\cdot \:3\end{pmatrix}[/tex]
Final answer:[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]
If AC= 8x-14 and EC = 2x + 11, solve for x.
Step-by-step explanation:
AC= 8x-14
AC+14=8x
x=(AC+14)÷8
EC=2x+11
EC-11=2x
x=(EC-11)÷2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
I NEED HELP WITH MY HOMEWORK
Answer:
I-9I
Step-by-step explanation:
Absolute value (the straight brackets) is how far away the number is from zero, this makes -9 into positive 9
Answer:
C. |-9|
Step-by-step explanation:
|-9| = 9
9 > 7 > |5| (5) > -12
Convert the unit of weight. Use 1 lb = 16 oz. Express your answer in exact simplest form. 3 lb = _____ oz
3lb= ⋅ = _____oz ?
Answer:
48
Step-by-step explanation:
one pound equals 16 ounces so multiply each side by three and you get that 3 lb equals 48 ounces
Answer:
48 oz
Step-by-step explanation:
We know 1 lb = 16 oz. That means that to find how many oz are in 3 lbs, you have to multiply 16 by 3. That equals 48.
Name three synonyms for "Solution": _____________,___________,______________
Answer:
1 quick fix 2 solving 3 result
Step-by-step explanation:
hope it helps