Answer: 6
Step-by-step explanation:
20/5 = 30/x
5 = 30/x
x = 6
The value 'x' in the given equation is 7.5.
What is the ratio of two numbers?"Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B."
Given, 20:5=30:X
⇒ \(\frac{20}{5} = \frac{30}{x}\)
⇒ x = (30 × 5) / 20
⇒ x = 7.5
Therefore, the value of x is 7.5.
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Which statement applies to the transformed function f(x)−4
?
The function is odd, and the graph would be shifted downward. option(2)
The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.
Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.
This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units.
The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.
Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.
This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units. Option(2)
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To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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6r - 7 = 23 r = _____
Answer:
r=-7/17
Step-by-step explanation:
6r-7=23r=
We move all terms to the left:
6r-7-(23r)=0
We add all the numbers together, and all the variables
-17r-7=0
We move all terms containing r to the left, all other terms to the right
-17r=7
r=7/-17
r=-7/17
Answer:
5
Step-by-step explanation:
6r - 7 = 23
6r + 7 = + 7
6r = 30
30 ÷ 6 = 5
r = 5
Check ur answer:
6(5) - 7 = 23
30 - 7 = 23
23 = 23
3x^3-2x^2+7x+9 divided by x^2-3x
The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to find 3x³-2x²+7x+9 divided by x²-3x
3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.
The steps to solve this are given below.
Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Step 4: Bring down the next digit of the dividend (if present).
Step 5: Repeat the same process.
Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).
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Mide la distancia maxima que puedes alcanzar con tus brazos levantados , despues toma una pelota y calcula el tiempo que demora en caer si la funcion que describe la velocidad final de los cuerpos en caida libre es vel=(0,9 cm/mil 2)x(t) calcula la velocidad final que alcanza la pelota al tocar el piso y menciona la altura
Es importante recordar que la velocidad final será negativa, ya que la pelota se está moviendo en dirección contraria al vector de gravedad cuando toca el suelo vel = 0.9 cm/mil*2 * t
La ecuación de velocidad final de los cuerpos en caída libre es:
vel = g x t
Donde "g" es la aceleración debido a la gravedad (en la Tierra, g = -9.8 m/s^2) y "t" es el tiempo que tarda en caer la pelota. Si conocemos la altura "h" desde la que se deja caer la pelota, podemos utilizar la ecuación de cinemática:
h = 1/2 x g x t^2
Despejando "t" de esta ecuación obtenemos:
t = sqrt(2h/g)
Ahora podemos calcular el tiempo que tarda la pelota en caer al suelo:
t = sqrt(2 x altura / (0.0098 km/s^2))
Y utilizando la ecuación de velocidad final de los cuerpos en caída libre, podemos calcular la velocidad final que alcanza la pelota al tocar el piso:
vel = 0.9 cm/mil*2 * t
Es importante recordar que la velocidad final será negativa, ya que la pelota se está moviendo en dirección contraria al vector de gravedad cuando toca el suelo. Espero que esto ayude.
vel = 0.9 cm/mil*2 * t
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dan walks 6/8 miles and Beth walks 3/4 miles to school who walks farther
Answer:
They walk the same.
Step-by-step explanation:
Dan = 6/8 miles = 0.75 miles
Beth = 3/4 miles = 0.75 miles
=> They walk the same distance
what is 4,543 rounded to nearest hundred
Answer:
4,500
5 or above give it a shove, 4 or below, let it go
how do i go about finding x° and ycm, please?
I've tried Sine Rule & Cosine Rule... I thought i had done it correctly until i worked out the angles added up to much higher than 180° so it cannot be correct... can anyone help?
From the solution;
x = 62.62°
y = 8.9 cm
What is the sine rule?The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.
By the use of the sine rule;
a/Sin A = c/Sin C
Sin C = cSin A/a
C = Sin-1(cSin A/a)
C = Sin-1(7.8 * sin 66.4/9.2)
C = 50.98°
B = 180 - (50.98° + 66.4)
B = 62.62°
Then;
a/Sin A = b/Sin B
9.2/Sin66.4 = b/Sin 62.62
b = 9.2 * Sin 62.62/Sin66.4
b = 9.2 * 0.89/0.92
b = 8.9 cm
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Liam has a points card for a movie theater.
He receives 50 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 160 points for a free movie ticket.
Write and solve an inequality which can be used to determine xx, the number of visits Liam can make to earn his first free movie ticket.
The number of visits Liam can make to earn his first free movie ticket is: 8.4.
Number of visits Liam can makeLet x represent the number of visits
Formula
55+12.5×x=160
Re-arrange
12.5x=160-55
12.5x=105
Divide both side by 12.5x
x=105/12.5
x=8.4 visits
Therefore the number of visits Liam can make to earn his first free movie ticket is: 8.4.
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en un rectángulo la base mide 69 cm y la altura es 2/3 de la base. Calcula el perímetro.[230] hayuda porfabor con foto
As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.
what is rectangle ?Four straight sides that are aligned and equal in length make up a rectangle, a two-dimensional geometric object. A rectangles has four right-angled angles (90 degrees). A rectangle can be thought of as a quadrilateral with all angles equal to 90 degrees, or as a trapezoid with two pairs of parallel sides. By multiplying the rectangle's length and breadth, the area of the rectangle may be determined. By summing the measurements of all four sides, one may get a rectangle's perimeter. In many commonplace items like window, book covers, and screens, rectangles are frequently used.
given
According to the information provided, the rectangle's base has a 69 cm width.
We also know that the height is equal to the base by two thirds. As a result, the rectangle's height can be determined as follows:
Height equals 2/3 of base height, or 69 cm.
size = 46 cm
Knowing the rectangle's base and height, we can use the following formula to get its perimeter:
P = 2l + 2w
P = 2(69 cm) + 2(46 cm) (46 cm)
P = 230 cm if P = 138 cm plus 92 cm.
As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.
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The complete question is: - In a rectangle the base measures 69 cm and the height is 2/3 of the base. Calculate the perimeter.[230] Please help with a photo
Exact value of tan 2pi/3
Given:
\(\tan\frac{2\pi}{3}\)Find-:
Exact value
Explanation -
So, the value is:
\(=\tan\frac{2\pi}{3}\)\(\begin{gathered} =\tan\frac{2\pi}{3} \\ \\ \pi=180\text{ then,} \\ \\ =\tan(\frac{2\times180}{3}) \\ \\ =\tan(120) \end{gathered}\)So value is:
\(\tan(120)=-\sqrt{3}\)1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.
2. You are given the 3rd and 5th term of an geometric sequence. Describe how to determine the 10th term without finding the general term.
Step-by-step explanation:
1. In an arithmetic sequence, the general term can be written as
xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.
Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =
x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get
x₅-x₃ = 2d
divide by 2 to isolate d
(x₅-x₃)/2 = d
This lets us solve for d. Given d, we can say that
x₃ = y+d(2)
subtract 2*d from both sides to isolate the y
x₃ -2*d = y
Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of
xₙ = y + d(a-1)
2.
Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is
x₃* r * r
= x₃*r² = x₅
divide both sides by x₃ to isolate the r²
x₅/x₃ = r²
square root both sides
√(x₅/x₃) = ±r
One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.
Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence
what value of x makes this equation true?-80=20+x
Answer:
50 i think
Step-by-step explanation:
Answer:
-100
Step-by-step explanation:
-80=20+x
subtract 20 from both sides
-100=x
PLEASE HELP!!!! I would really appreciate it!!! :)
Let S be the set of all integers that are multiples of 6 and let T be the set of all even numbers
Answer:
S = ( 6, 12, 18, 24, 30, 36......)
T = ( 2, 4, 6, 8, 10, 12, 14, 16, 18......)
What’s the answer to this question please?thank you
Step-by-step explanation:
the answer is in the image above
number in expended form
675,432
Answer: 600,000 + 70,000 + 5,000 + 400 + 30 + 2
Explanation:
Each digit forms a different number depending on its place value.
The 6 is in the hundred thousands place value, so the 6 in 675,432 corresponds to 600,000. Similar ideas apply for the other digits as well
Can someone help me with number 9 pllsssss I’m confused
Answer:
C
Step-by-step explanation:
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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What is the answer to this combination lock
Answer: 375
Step-by-step explanation:
Ruling out each number:
6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.
3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.
2 & 4 & 8: Is proven wrong in the 4th clue.
7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.
1: Is proven wrong after 7 is proven true.
Figuring out placement:
5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.
3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.
7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.
A flower garden is shaped like a circle. Its radius is 17 yd. A ring-shaped path goes around the garden. The width of the path is 5 yd.
17 yd
The gardener is going to cover the path with sand. If one bag of sand can cover 4 yd, how many bags of sand does the gardener need? Note that sand comes
only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for x.)
bags of sand
X
Esp
101 bags of sand are required to cover the path. Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
What is ratio?
If a and b are two values, their ratio will be a:b,
Given that,
Radius of garden r = 20 yards,
The width of path around the garden = 5 yards.
The area of garden = π×r² = π×20*20
The area of garden surrounded with path = π×25×25
Area of path = area of garden surrounded with path - area of garden
Area of path = π×25×25-π×20*20
Area of path = 225π =225×3.14
Since, 1 bag of sand covers 7 square yards.
Total area is 225×3.14 square yards.
Number of bags = (225×3.14)/7 = 100.92 = 101 (approx.)
101 bags of sand are required to cover the path.
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Will give brainliest please help. Worth lot of points
Are they similar or why are they not
Answer:
Yes they are similar due to the parallel lines of XY & BC. So, technically, the small and big triangle both will share the same base angles because corresponding angles are equal. Thus, angle AYX will be equal to angle YCB, for example.
In addition, two shapes are similar if one is an enlargement of another.
Hope this helps!
help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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Simplify to a single trig function with no fractions.
Answer:
sin(t)
Step-by-step explanation:
tan(t)/sec(t) = tan(t) * 1/sec(t) = sin(t)/cos(t) * cos(t) = sin(t)
please help mee!! will mark brainliest! "the Kuna Caveman football team won 75% of their games. If they won 9 games, how many games did they play?"
Answer:
12 games
Step-by-step explanation:
Let x be the number of games played
The y won 75% of the games played and that was 9
x * 75% = 9
Change to decimal form
x * .75 = 9
Divide each side by .75
x * .75 /.75 = 9/.75
x =12
They played 12 games
Answer:
Step-by-step explanation:
75g/100=9
g=900/75
g=12
In triangleJKL, If angle J is seven less than angle L and angle k is 21 less than twice angle l, find the measure
of each angle.
Answer:
J=35 K=63 L=42
Step-by-step explanation:
TIME REMAINING
51:12
Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides
to take a poll of every third adult with a child who arrives at the library for one of the four reading groups: toddlers,
preschoolers, primary grades, and upper elementary. Which statement is true about her method of data collection?
It is balanced because she is including parents with children of all ages so she will get a greater age range.
It is not balanced because it is less likely to include teens, young adults, and senior citizens in the patron population.
It is not balanced because she only surveyed the adults and not the young children.
It is balanced because she is polling four different reading groups, which include all types of people.
See
Answer: It's not balanced because it's less likely to include teens, young adults, and senior citizens in the patron population.
Step-by-step explanation: If wants to get a good sample for the whole "population," she should've taken broader samples of people of all ages.
Answer:
I think it is B .................
Step-by-step explanation:
What is the first step in evaluating the expression, 6 - ( 4/2 •5)^2
Answer:
-94
Step-by-step explanation:
BODMAS
START WITH THE BRACKET
\(6 - ({ \frac{4}{2} \times 5 })^{2} \)
\(6 - ({2 \times 5})^{2} \\ 6 - {10}^{2} \\ 6 - 100 \\ = - 94\)
Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting
Answer:
Intersecting (fourth answer choice)
Step-by-step explanation:
If the lines are perpendicular, parallel, or intersecting, they are not skew. Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first. If the lines are classified as neither, then they are skew.First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where
m is the slope,and b is the y-intercept.Converting y - 3x = 4x to slope-intercept form:
(y - 3x = 4x) + 3x
y = 7x
Thus, the slope of this line is 7 and the y-intercept is 0.
Converting 6 - 2y = 8x to slope-intercept form:
(6 - 2y = 8x) - 6
(-2y = 8x - 6) / -2
y = -4x + 3
Thus, the slope of this line is -4 and the y-intercept is 3.
Checking if y = 7x and y = -4x + 3 are perpendicular lines:
The slopes of perpendicular lines are negative reciprocals of each other.We can show this in the following formula:
m2 = -1 / m1, where
m1 is the slope of one line,and m2 is the slope of the other line.Thus, we only have to plug in one of the slopes for m1. Let's do -4.
m2 = -1 / -4
m2 = 1/4
Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.
Checking if y = 7x and y = -4x + 3 are parallel lines:
The slopes of parallel lines are equal to each other.
Because 7 and -4 are not equal, the two lines are not parallel.
Checking if the lines intersect:
The intersection point of two lines have the same x and y coordinate. To determine if the two lines intersect, we treat them like a system of equations.Method to solve the system: Elimination:
We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:
add the two equations, eliminate the ys, and solve for x:-1 (y = 7x)
-y = -7x
----------------------------------------------------------------------------------------------------------
-y = -7x
+
y = -4x + 3
----------------------------------------------------------------------------------------------------------
(0 = -11x + 3) - 3
(-3 = -11x) / 11
3/11 = x
Now we can plug in 3/11 for x in y = 7x to find y:
y = 7(3/11)
y = 21/11
Thus, x = 3/11 and y = 21/11
We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3. If we get the same answer on both sides of the equation for both equations, the lines intersect:
Checking solutions (x = 3/11 and y = 21/11) for y = 7x:
21/11 = 7(3/11)
21/11 = 21/11
Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:
21/11 = -4(3/11) + 3
21/11 = -12/11 + (3 * 11/11)
21/11 = -12/11 + 33/11
21/11 = 21/11
Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).
This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.
3 · {(300 - 70 ÷ 5) - [3 · 23 - (8 - 2 · 3)]}
Answer:
(657)
Step-by-step explanation:
Simplify the following:
3 (300 - 70/5 - (3×23 - (8 - 2×3)))
The gcd of -70 and 5 is 5, so (-70)/5 = (5 (-14))/(5×1) = 5/5×-14 = -14:
3 (300 + -14 - (3×23 - (8 - 2×3)))
-2×3 = -6:
3 (300 - 14 - (3×23 - (-6 + 8)))
8 - 6 = 2:
3 (300 - 14 - (3×23 - 2))
3×23 = 69:
3 (300 - 14 - (69 - 2))
| 6 | 9
- | | 2
| 6 | 7:
3 (300 - 14 - 67)
300 - 14 - 67 = 300 - (14 + 67):
3 ((300 - (14 + 67)))
| 1 |
| 6 | 7
+ | 1 | 4
| 8 | 1:
3 (300 - 81)
| | 9 |
| 2 | | 10
| | |
- | | 8 | 1
| 2 | 1 | 9:
3 (219)
3 (219) = (3×219):
(3×219)
3×219 = 657:
Answer: (657)