The equations where x=3 is a solution are:
x-3=0
9-x=3
6=2x
The equation x-3=0 can be simplified to x=3, so it is true that x=3 is a solution to this equation.
Substituting x=3 into the equation 9-x=3 gives:
9-3=3
6=3
This is not a true statement, so x=3 is not a solution to this equation.
Substituting x=3 into the equation 6=2x gives:
6=2(3)
6=6
This is a true statement, so x=3 is a solution to this equation.
The equations 1+x=2 and 1/5x=3 can be simplified to x=1 and x=15, respectively. Therefore, x=3 is not a solution to these equations.
The equation x^2=9 can be simplified to x=±3. Therefore, x=3 is a solution to this equation, but it is not the only solution.
So, the equations where x=3 is a solution are:
x-3=0
6=2x
Therefore, the correct responses are:
x-3=0
6=2x
Please if you know the answer tel me thank you.
Answer:
Step-by-step explanation:
(a) currently the mode is pink. Mode means which one occurs the most.
If you take a pink out. Now P=3 G=3 and Y=3
(a) PINK
(b) Yellow, you want yellow to be the most/mode so they put a yellow back in
A bus can travel 400 km in 10 hours how many hours will it take to travel 500 km
Answer:
12.5
Step-by-step explanation:
\(400km = 10hr \\ 500km = x \\ \\ 400kmx = 5000kmhr \\ x = 12.5hr\)
Answer: The answer is 12.5
Step-by-step explanation:
I did the math on my paper.
is 1 over 3 = to 3 out of 3
the correct answer is No
Step-by-step explanation:
it's not equal
Answer:
\(\frac{1}{3}\neq\frac{3}{3}\)
Step-by-step explanation:
The two numbers are different
Evaluate the expression: 3a2 + 2b2 when a = -3 and b = 6
What is (3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)?
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.
(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)
= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)
The next step is to combine like terms within each parentheses:
= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)
= (56x - 3x² + 7) + (-8x + 2x³ + 3)
Finally, we can add the two expressions:
= (56x - 3x² + 7) + (-8x + 2x³ + 3)
= 56x - 3x² - 8x + 2x³ + 3 + 7
= 56x - 3x² - 8x + 2x³ + 10
The final answer is 56x - 3x² - 8x + 2x³ + 10.
3 1/8 divided by (x - 4 7/28) = 17/18 + 1 5/6
(Key on how to write the mixed numbers: Three is a whole number and then the fraction is 1/8, 4 is the whole number and 7/28 is the fraction, 1 is the whole number and 5/6 is the fraction)
Please provide the work and the answer! :)
x = 301/56
Algebraic expressionsAlgebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expression
Given the algebraic expression,
\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)
Step 1:
Simplify the expression by converting the mixed numbers into improper fractions:
25/8 ÷ ( x - 119/28) = 17/18 + 11/6
Step 2: Simplify the right side of the equation
25/8 ÷( x - 119/28) = 17/18 + 33/18
25/8 ÷( x - 119/28) = 50/18
Step 3: Multiply both sides of the equation by (x - 119/28)
25/8 = 50/18 × (x - 119/28)
Step 4: Multiply both sides of the equation by (18/50)
25/8 × (18/50) = (x - 119/28)
Step 5: Simplify the left side of the equation
9/8 = (x - 119/28)
Step 6: Add 119/28 to both sides of the equation
9/8 + 119/28 = x
Step 7: Calculate the value of x:
x = 9/8 + 119/28
= 63/56 + 238/56
= 301/56
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Evelyn gave a 3 percent tip to the person delivering her 15 dollar pizza. What percent of the cost of the pizza was the tip she paid?
A.3
B.5
C.15
D.15
9514 1404 393
Answer:
A. 3
Step-by-step explanation:
"3 percent tip" means the tip is 3% of the cost of whatever product or service is being tipped. The tip is 3% of the cost of the pizza.
Find an equation of the line that passes through the point and has the indicated slope m. (Let x be the independent variable and y be the dependent variable.)
(4, −1); m = −1
The equation of line passes through the point (4, -1 ) with slope - 1
will be;
⇒ y = - x + 3
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Point on the line = (4 , - 1)
And, Slope of the line = - 1
Now,
Since, The equation of line passing through the point (x₁ , y₁) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Hence, The equation of line passing through the point (4, -1) with slope -1 is defined as;
⇒ y - y₁ = m (x - x₁)
⇒ y - (-1) = - 1 ( x - 4 )
⇒ y + 1 = - x + 4
⇒ y = - x + 4 - 1
⇒ y = - x + 3
Thus, The equation of line passes through the point (4, -1 ) with slope - 1
will be;
⇒ y = - x + 3
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Sam wants to build a fence around her property. The length of
the her fence must be one feet greater than three times its
width and the area of her property is 30 square feet. What is
the maximum width that her fence can be to ensure she
doesn't encroach into her neighbor's property?
Answer:
3.33ft
Step-by-step explanation:
Area of the fence = Length * Width
A = LW
Given
Area A = 30ft²
If the length of the her fence must be one feet greater than three times its width, then;
L = 3W + 1
Substotute into the area formula
A = (3W+1)W
30 = 3W²+W
3W²+W - 30 = 0
(3W²+9W)-(10W - 30) =
3W(W+3)-10(W+3) = 0
3W-10 = 0 and W+3 = 0
3W = 10 and W = -3
W = 10/3 and -3
Width cannot be negative
Hence the maximum width that her fence can be to ensure she doesn't encroach into her neighbor's property is 3.33ft
help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
Write 69200000 in scientific notation
69200000 in scientific notation is 6.92 × 10⁷.
How to represent number in scientific notation?Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Scientific Notation is a special way of writing numbers:
For example 800 is written as 8 × 10² in Scientific Notation.
Therefore, let's write the scientific notation of the number 69200000.
Hence,
69, 200, 000 = 6.92 × 10⁷
The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.
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Help me out here pleaseeeeeeee
Answer:
C
Step-by-step explanation:
which comprison is correct?
a. 3/2 < 1/3
b. 3/8 > 1/6
c. 11/6 < 3/4
d. 3/5 = 5/8
Answer:
The second one
Step-by-step explanation:
USE THE BUTTERFLY TECHINQUE
3/8 O 1/6
18 3/8 O 1/6 8
18 > 8
3/8 > 1/6
Answer:
B is correct
3/8> 1/6 = 3 · 3/8 · 3 > 1 · 4/6 · 4 = 9/24 > 4/24 = 9 > 4 = Yes
HELP ME. I HATE MATH DUDE.
Write the following number as a fraction:
0.27
Step-by-step explanation:
27/100 is the fraction of 0.27
On thurday, lisa had 5$ in her bank account. she went to target to purchase stickers for her class. each pack of stickers cost 2$
write an inequality that represents s, the number of stickers purchased that resulted in her account ending in -10.
Pls help I’ll mark brainliest q
Answer:
(5,30)
Step-by-step explanation:
2 + 2. what is the sum
Answer: 4
Step-by-step explanation:
Answer:4
2+2=4 if I have two apples and pick up two more I now have 4 total
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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answer the number 3 only
The values of the variables in number 3, in simplest radical form, are:
f = 6; o = 3.
How to Find the Values of the Variables in the Simplest Radical Form?The simplest radical form, also known as simplified radical form or simplified surd, refers to expressing a square root (√) or other roots in the simplest possible way without any perfect square factors in the root. In other words, it involves reducing the radical expression to its simplest form.
Solving problem 3, we would apply the necessary Trigonometric ratios to find the variables:
sin 60 = opp/hyp
sin 60 = 9√3 / f
f = 9√3 / sin 60
f = 9√3 / √3/2 [sin 60 = √3/2]
f = 9√3 * 2/√3
f = 18/3
f = 6
tan 60 = opp/adj
tan 60 = 9√3 / o
o = 9√3 / tan 60
o = 9√3 / √3 [sin 60 = √3]
o = 9√3 * 1 / √3
o = 9/3
o = 3
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Answer:
o = 9
f = 18
Step-by-step explanation:
Triangle #3 is a right triangle with two of its interior angles measuring 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, this triangle is a special 30-60-90 triangle.
The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.
Side a is opposite the 30° angle (shortest leg).Side a√3 is opposite the 60° angle (longest leg).Side 2a is the hypotenuse (longest side).In triangle #3, the longest leg is 9√3 units.
As "a√3" is the shortest leg, the scale factor "a" is 9.
The side labelled "o" is the shortest leg opposite the 30° angle. Therefore:
\(o = a=9\)
The side labelled "f" is the hypotenuse of the triangle. Therefore:
\(f= 2a = 2 \cdot 9=18\)
Therefore:
o = 9f = 18Find the solution for a 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
Answer:
Step-by-step explanation:
Answer:
A^n = [4^n 4^n
0 1]
Step-by-step explanation:
To find the solution for the 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:
A^1 = [4 4
0 1]
Now, let's solve for A^2 by multiplying A^1 by A:
A^2 = A x A^1
= [4 4 [4 4
0 1] 0 1]
= [16 16
0 1]
Next, let's solve for A^3:
A^3 = A x A^2
= [4 4 [16 16
0 1] 0 1]
= [64 64
0 1]
We can see a pattern emerging:
A^1 = [4 4
0 1]
A^2 = [16 16
0 1]
A^3 = [64 64
0 1]
We can generalize this pattern as follows:
A^n = [4^n 4^n
0 1]
Therefore, the solution for the 2x2 matrix A raised to the nth power is:
A^n = [4^n 4^n
0 1]
Two parallel lines are cut by a transversal as shown below.
Answer:
52 both
Step-by-step explanation:
4 is 128. flat surface is 180, 180-128= 52. 4 and 2 are equal, 1 and 3 too. So are 5=7 8=6
Juan's dog stands 2 feet and 3 inches tall. Peter's dog stands 9 inches tall. Use what you have learned about fractions to calculate how much taller Juan's dog is than Peter's dog. Remember that there are 12 inches in one foot.
PLEASE WRITE IT!
Answer:
2 feet and 3 inches = 27 inches
27 - 9 = 18 inches which also equal to 1 foot and 6 inches
Answer:
Juan's dog = 2 feet 3 inches = 27 inches Peter's
dog = 9 inches so to find how taller Juan's dog
hight is
by
27-9 = 18 inches or 1 feet and 6 inches.
hope I
helped u by my answer
Step-by-step explanation:
#ITZADMIRERResuelve la ecuación de la recta
que pasa por el punto (2 , 8 ) y tiene una pendiente de -3.
ayudaaaa
Answer:
SPANISH TALK ENGLISH OK
Step-by-step explanation:
OKKK
Susan buys embroidery beads in packages that each hold several hundred beads. On May 1st, she counts her beads by color. She plans to repeat the count one month later, and again one month after that. The table shows the results of her first count. Find the angle measure of the sector of a circle graph that represents each color of bead.
The angle measure of the sector of a circle graph that represents each color of bead is obtained with the following procedure:
Obtain the proportion for each color.Multiply the proportion by 360º.How to obtain the angle measure?In total, a circle graph has an angle measure of 360º, and each possible color is attributed a region of this circle graph.
The region is measured in degrees, and is dependent on the proportion assumed by each color.
The proportion assumed by each color is obtained dividing the number of beads with the color by the total number of beads.
For example, if 20 beads out of 100 are blue, the proportion is given as follows:
20/100 = 0.2.
Then the angle measure is obtained multiplying the proportion by 360º, as 360º represents the entirety of the circle graph.
Hence, for the blue beads, the hypothetical angle measure is given as follows:
0.2 x 360º = 72º.
Missing InformationThe problem is incomplete, hence the answer was given in general terms.
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Which option is the correct option, quick please!
Answer:
168°Option A is the correct option
Step-by-step explanation:
Since, we know that angle at center is double that of the circumference.
JL = 2 × 84°
calculate the product
= 168°
Hope this helps..
Best regards!!
Answer:
Option A is the correct answer.
Step-by-step explanation:
By the incribed angle theorem, we have
1/2of angle JKL.
so, JL = 84°×2
Therefore, the answer is 168°.
Hope it helps..
HELP WITH C
5mph buffer what is the new function and graph?
The function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The coordinate points from the graph are (10, 550) and (30, 200).
Here, slope = (200-550)(30-10)
= -350/20
= -35/2
= -17.5
Substitute m= -17.5 and (x, y)=(10, 550) in y=mx+c, we get
550=-17.5(10)+c
c=550+175
c=725
So, the equation is y= -17.5x+725
Thus, f(n)= -17.5n+725
a) The fine at every speed should go up by $10.
So, the coordinates are (10, 560) and (30, 210)
New slope (m)= (210-560)(30-10)
= -350/20
= -35/2
= -17.5
Substitute m= -17.5 and (x, y)=(10, 560) in y=mx+c, we get
560=-17.5(10)+c
c=550+175
c=735
So, the equation is y= -17.5x+735
Thus, f(n)= -17.5n+735
b) The fine at every speed should be doubled in construction zones.
So, the coordinates are (20, 550) and (60, 200)
New slope (m)= (200-550)(60-20)
= -350/40
= -8.75
Substitute m= -8.75 and (x, y)=(20, 550) in y=mx+c, we get
550=-8.75(10)+c
c=550+87.5
c=637.5
So, the equation is y= -8.75x+637.5
Thus, f(n)= -8.75n+637.5
Therefore, the function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.
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simplify 4 x 18/6 x 5/5
Answer:
12
Step-by-step explanation:
4.18/6 * 5 over 5
72/6 *5 over 5
72/6 * 5 divided by 5
12.5 divided by 5
12 times 5 over 5
60/5
60 divided by 5
The base of the right prism is a hexagon composed of a rectangle and two triangles. Find the volume of the right
hexagonal prism using the formula V = Bh.
3 in
in
Answer:
Correct
Step-by-step explanation:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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